What is the area of the parallelogram shown?


A= In^2

What Is The Area Of The Parallelogram Shown?A= In^2

Answers

Answer 1
Correct Answer:
6.6 in^2

Explanation:
Area = Length x height (width)
= 2.2 x 3
= 6.6 in^2

Related Questions

7(x+4)-2[x-3(5+x)]=2/3(x-6)
With detailed workings

Answers


Ur Welcome hope this helps you and I hope it’s also right have a good day

what if n is negative what is the value of the equation below n(2)+8 divided by 4 = 11

Answers

If n is negative the value of the equation that we have below would be -18

How to solve the equation

We have to rewrite the equation in a way that it would be easier to understand first.

[tex]\frac{-2n+8}{4} =11[/tex]

Next we would have to cross multiply

this would give us

-2n + 8 = 11 * 4

-2n + 8 = 44

take the like terms

-2n = 44 - 8

-2n = 36

divide through by -2 from the above

-2n / -2 = 36 / -2

n = - 18

Therefore given that we have that the value of the equation after n is negative is -18.

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Which inequality has like variable terms on each side of the inequality symbol?

Answers

Inequality which have like variables term on each side of the given inequality symbol is given by 16 - 2x > x + 16.

As given in the question,

Inequality which have like variables term on each side of the given inequality symbol is :

a. 15c + 25 ≤ 115

In the given inequality, on left hand side we have variable c and constant term while on the right hand side of the inequality only constant.

Not correct option.

b. 0.75r - 6.25 > 10

In the given inequality, on left hand side we have variable r and constant term while on the right hand side of the inequality only constant.

Not correct option.

c. 16 - 2x > x + 16

In the given inequality, on left hand side we have variable x and constant term while on the right hand side of the inequality also variable x and constant term.

Correct option.

d. 12.25h -175 < 5,000

In the given inequality, on left hand side we have variable h and constant term while on the right hand side of the inequality only constant.

Not correct option.

Therefore, inequality which have like variables term on each side of the given inequality symbol is given by 16 - 2x > x + 16.

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A balloon was originally filled to a volume of 4,400 cubic centimeters. air inside the balloon leaks out over time. write an inequality that describes v, the volume of the balloon in cubic centimeters as air leaks out.

Answers

Answer:

V<4400

Step-by-step explanation:

Answer:

the answer is V<4,400

if you are using khan academy, do not add the comma for 4,400, otherwise it will not work.

khan academy answer: V<4400

Step-by-step explanation:

if the air leaked out, which is V, that means V would be less than 4,400 because 4,400 is what we have started with.

Therefore, the inequality would be V<4,400 or for khan academy, V=4400

What are the missing segment lengths shown in the image?

Answers

The length of the missing ,line segments show in the image are AC = CD =  10√2  and AB = BC = 10  .

In the question ,

a figure is given , we have to find the length of the missing line segments .

From the given figure

the Δ ACD is a right triangle ,

given that ∠A and ∠D are equal

so ,  their corresponding length AC and CD will be equal , that is AC = CD

So , By Pythagoras Theorem

AC² + CD² = AD²

2*AC² = AD²

2*AC² = (20)²

2*AC² = 400

AC² = 400/2 = 200

AC = √200

AC = CD = 10√2

The triangle ABC is also right triangle

and ∠A and ∠C are equal

so , their corresponding length AB and BC will be equal , that is AB = BC

So , By Pythagoras Theorem

AB + BC = AC

2*AB² = AC²

2*AB² = (10√2)²

2*AB² = 200

AB² = 200/2 = 100

AB = √100

AB = 10 = BC

Therefore , The length of the missing line segments show in the image are AC = CD =  10√2  and AB = BC = 10  .

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Tanks are used to deliver liquid fuel to a factory. each tank holds 22.5 cubic yards of fuel. the weight of 1 cubic yard of fuel is 0.74 tons. the fuel will be stored in containers that each holds 7.4 tons of fuel. how many containers of this size are needed to hold all the fuel from 12 tanks?

Answers

27 containers are needed to hold all the fuel from 12 tanks.

How do you prove that?

We are given that each tank holds 22.5 cubic yard of fuel, the weight of 1 yd³ (cubic yard) of fuel is equal to .74 tons, and each container holds 7.4 tons of fuel. Solving this problem would involve converting units.

In order to find out how many containers of the size are needed to hold all the fuel from 12 tanks, first we need to find how much fuel is delivered by 12 tanks. Since 12 x 22.5 = 270, 12 tanks are used to deliver 270 yd³ of fuel.

Next we convert it to tons. Recall that 1 yd³ of fuel is equal to .74 tons. Therefore, 270 yd³ = 270 x  .74 = 199.8 tons.

A container holds 7.4 tons of fuel. 199.8 ÷ 7.4 = 27, hence 27 containers are needed to hold all the fuel.

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Kelly grows potatoes.

She has 2500 kg of potatoes, correct to the nearest 10kg.

Kelly is going to put the potatoes into sacks.

Each sack will contain 12. 5 kg of potatoes.

Kelly assumes that 12. 5 kg is measured correct to the nearest 0. 1 kg.

(a) Does Kelly definitely have enough potatoes to fill 200 sacks?

You must show how you get your answer

Answers

Kelly fill 200 sacks with the weight of 2000 kg potatoes and in each sack, she can fill up to 12.5 kg of potatoes.

What is weight?

The gravitational attraction of an item near the Earth or another celestial body toward the center of the body. The weight of an item is determined by its mass and the strength of the gravitational force. We use the following generic formula to compute weight: W = mg. Where 'W' is the object's weight,'m' is the object's mass, and 'g' is the acceleration due to gravity. The value of g on Earth is 9.8 m/s2. The most frequent definition of weight is the force imposed by gravity on a body.

Here,

weight of potatoes she has=2500 kg

weight of each sack that contain the potatoes=12.5 kg

with this, she can fill,

=2500/12.5

=200 sacks

Kelly fills 200 sacks with 2000 kg of potatoes, and each sack can hold up to 12.5 kg of potatoes.

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Find quotation 1 3/4 divided by 3


Please help I think it’s 7/12

Answers

The quotation for division of 7/4 that is 1 3/4 divided by 3 will be 7/12 by the rule of division that is a/b÷c/d=a/b*d/c.

What is division?

A number is divided in division, which is a straightforward operation. The simplest way to conceptualize it is as a set of objects being distributed among a set of individuals, as in the example given above. A division is the division of a given sum into equal parts. For instance, we could split a group of 20 people into four groups of 5, five groups of 4, and so on. Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. To determine how many equal groups are created or how many people are in each group, division is the primary objective.

Here,

1 3/4=7/4

7/4÷3/1,

a/b÷c/d=a/b*d/c

7/4*1/3=7/12

According to the division rule a/b÷c/d=a/b*d/c, the quotation for 7/4, which is 1 3/4 divided by 3, will be 7/12.

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The shaded area of the square above is what fraction of the entire square?

Answers

The fraction of the entire square that is shaded is 2/5.

What fraction of the entire square is shaded?

A square is a two dimensional object that four sides that are of equal length. This means that the dimensions of the length and the width have the same value. A square has two diagonals that bisect each other at 90°.

A fraction is a non-integer that has a numerator and a denominator. The numerator is the number above and the denominator is the number below. An example of a fraction is 1/2.

Fraction = number of shaded squares / total number of squares

16 / 40

When expressed in its simplest form, the fraction becomes 2/5.

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Este gráfico circular resume las especializaciones de los 450 miembros de una sororidad universitaria. El ángulo central el sector correspondiente a la especialización de ingeniería mide 50.4°. ¿Qué porcentaje de los miembros de la sororidad se especializan en ingeniería? No redondear.

Answers

Los miembros de la sororidad tiene un porcentaje de 14 % de estudiantes procedentes de la especialización de ingeniería.

¿Cuál es el porcentaje de estudiantes de la sororidad que pertenecen a la especialización de ingeniería?

El enunciado describe las características de un diagrama circula, en donde el 100 % de los miembros de la sororidad representan a los 360° del ángulo central del círculo, esto es, una revolución completa del círculo.

El porcentaje de los miembros que se especializan en ingeniería mediante la siguiente fórmula:

e = (E / 360°) × 100 %

Donde E es el ángulo asociado a la cantidad de estudiantes de la especialización de ingeniería, en grados sexagesimales.

e = (50.4° / 360°) × 100 %

e = 14 %

Los estudiantes que especializan en ingeniería corresponden a un porcentaje de 14 % de los miembros de la sororidad.

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Which of the following would earn the same amount of interest as a​ $600 principal with​ 2.5% interest for 6​ years? Question content area bottom Part 1 Select all that apply. A. ​$80 at​ 75% for 18 months B. ​$200 at​ 5% for 8 years C. ​$225 at​ 10% for 4 years D. ​$300 at​ 2% for 2 years E. ​$250 at​ 10% for 2 years

Answers

The option that would earn the same amount of interest as a $600 principal with 2.5% interest for 6 years include:

A. $80 at 75% for 18 months

C. $225 at 10% for 4 years

How to calculate the interest?

It's important to note that the simple interest can be calculated thus:

= Principal × Rate × Time

Therefore, the amount of interest as a $600 principal with 2.5% interest for 6 years will be:

= PRT

= (600 × 0.025 × 6)

= $90

The interest on $80 at 75% for 18 months will be:

= $80 × 0.75 × 1.5

= $90

The interest on $225 at 10% for 4 years will be:

= $225 × 0.1 × 4

= $90

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Caroline can make eleven lassis out of two mangoes. How many lassis can she make out of twelve mangoes?

Answers

Answer

Step-By-Step-Explanation

2 mangoes=eleven lassis

×6                   ×6

12 mangoes=66 lassis

Answer=66 lassis

The linear functions f(x) and g(x) are represented on the graph, where g(x) is a transformation of f(x): Part A: Describe two types of transformations that can be used to transform f(x) to g(x). (Choose from: shift up, shift down, shift right, shift left). Part B: Solve for k in each type of transformation. (This means tell me how many units you are shifting for each transformation you picked in part A). Part C: Write an equation for each type of transformation that can be used to transform f(x) to g(x). (This would be f(x) + k, f(x) - k, f(x -k), or f(x+k) but replace k with the values from part B).

Answers

A. The translations used in the transformation of f(x) to g(x) can be given as follows:

Left 6 units.Up 18 units.

B. The solutions for k are given as follows:

Left 6 units: k = 6.Up 18 units: k = 18.

C. The rules are given as follows:

Left 6 units: g(x) = f(x + 6).Up 18 units: g(x) = f(x) + 18.

What are the translations to an image?

There are four cases for the translation of an image, and they can be represented as follows:

Translation left a units: f(x + a).Translation right a units: f(x - a).Translation up a units: f(x) + a.Translation down a units: f(x) - a.

From the graph of the linear functions shown at the end of the answer, two translations are possible, listed as follows:

Left 6 units: As the x-intercept of g(x) is of -6 and the x-intercept of f(x) is of x = 0.Up 18 units, as the y-intercept of g(x) is of 17 and of f(x) is of -1, 17 - (-1) = 18.

The values of k are equivalent to the values of a in the bullet points listing the translations above, and the equations were also built from those bullet points.

Missing Information

The lines are shown by the image at the end of the answer.

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the hypotenuse of a triangle is 4x one of the legs . the other leg in 3(sqrt 5 units. find the length of the hypotenus?

Answers

The length of the hypotenuse is 4√3 units.

Given that hypotenuse is 4 times the length of one leg of a triangle. So here we can assume that length to be x. Hence the hypotenuse length is 4x. To calculate hypotenuse we have the formula a²=b² + c², where b and c are two sides of the triangle and a is the hypotenuse. If we put these values in the formula we get,

16x² = x² + (3√5)²

15x² = 45

x² = 3

x = ±√3

Since length cannot be negative, the final value of x = √3, and since the length of the hypotenuse was 4x, the final value of the hypotenuse is 4√3.

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i will literally do ANYTHING for doordash mcdonalds literally Anything for 20 dollars

Answers

Answer: Nice

Step-by-step explanation:

need help on this !!!!!!!!!!!

Answers

Using the Triangle Inequality Theorem we can state that the range of z is 4 < z < 20.

What is the Triangle Inequality Theorem?

The above theorem states that The length of any two sides of a triangle must sum to more than the length of the third side. That is:

12 + 8 > z.............1

12 + z > 8;.............2

8 + z > 12.............3

Solving for (1)

20 > z...............4

Solving for (2)

we have- 12 + z > 8

remove 8 from both sides and we have

4 + z > 0  or z > -4 ...............5

Solving for (3) we have

8 + z > 12

remove 8 from both sides

z > 4 .....................6

Since we can't have a negative value on a triangle, we must deal with expressions 4 and 6 which state:

20 > z; and

z > 4

Another way to write this is:

20 > z > 4; or

4 < z < 20

Hence the range of the unknown side that will form a triangle is:

4 < z < 20

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Ahmad decided to increase his homework time of 8 hours per week by 15%,
Calculate his new homework time.
Give your answer in hours and minutes.

Answers

Answer:

it's a answer done bro

one angle of a parallelogram is 120 degrees, and two consecutive sides have lengths of 8 inches and 15 inches. what is the area of the parallelogram? express your answer in simplest radical form.

Answers

The area of parallelogram with "one angle of a parallelogram is 120 degrees, and two consecutive sides have lengths of 8 inches and 15 inches" is 60√3 inch².

What is parallelogram?

A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus. A parallelogram is a geometric shape with sides that are parallel to one another in two dimensions. It is a type of polygon with four sides (also known as a quadrilateral) in which each parallel pair of sides is the same length.

Here,

A parallelogram has adjacent angles that add up to 180 degrees.

Since one angle of parallelogram is 120°.

240+2x=360

2x=120

x=60

The other will be 60°

The area of parallelogram= lh

l=15 inch

h=b(sin 60°)

=8*√3/2

h=4√3 inch

area of parallelogram= 15*4√3

= 60√3 inch²

The parallelogram's area is 60√3 inch² when "one angle of a parallelogram is 120 degrees, and two consecutive sides have lengths of 8 inches and 15 inches."

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Which postulate can be used to prove the two triangles are congruent?

Answers

Answer:

SAS

Step-by-step explanation:

If two sides and the included and the included angle of one triangle are congruent to two sides and the included angle of another triangle , then the triangles are congruent. The included angle is the angle formed by the two sides.

EF = BC

∠ F = ∠ C

DF = AC

then the two triangles are congruent by the SAS postulate.

Answer:

SAS

Step-by-step explanation:

On triangle one and two, they both start by having a congruent side, then a congruent angle, then another congruent side, thus making these triangles congruent by Side Angle Side.

It can't be AAS because there is only one angle, we know is congruent.

It can't be SSS because there are only two sides, we know are congruent.

It can't be HL because there is no right angle, meaning these aren't right triangles.

The toy store created a display of s shelves of remote control cars. Each shelf contains 16 cars. Write an expression that shows how many cars are on the display.

Answers

The expression that shows number of remote control cars on the display self is 16s.

Mathematical expressions are formed using at least two numbers,  variables, and there must be one arithmetic operation, and a statement. If there are x items are given in one self and there are n number of self and we have to find total number of items in all self, then we have to multiply x by n.

Here, there are 16 remote control cars on a display self. The number of display shelves is s.

So, the total number of cars will be 16 times of s.

Number of cars on display = 16s

Therefore, the expression that shows the number of cars on display is 16s.

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Answer:

It is 16s

Step-by-step explanation:

To prepare for his mountain biking trip, Rhyan bought four tire patches. Rhyan paid using a gift card that had $22.20 on it. After the sale, Rhyan’s gift card had $1.90 remaining. Which equations could you use to find the price of one tire patch? Select all that apply. 4x – 1.9 = 22.2 4x – 22.2 = 1.9 4x + 1.9 = 22.2 4x + 22.2 = –1.9 22.2 – 4x = 1.9

Answers

The equation that can be used to find the price of one tire patch is 22.20 - 4x = 1.90 and 4x + 1.90 = 22.20

What is an equation?

An equation is an expression showing the relationship between two or more numbers and variables.

Rhyan paid using a gift card that had $22.20 on it.

Let x represent the cost of each tire patch needed for the mountain biking trip. Rhyan bought four tire patches and had $1.90 remaining. Hence:

22.20 - 4x = 1.90

4x + 1.90 = 22.20

The equation is 22.20 - 4x = 1.90

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LOTS OF POINTS coordinate proof explaining how the midsegment of a triangle forms a triangle with 1/4 of area

Answers

The coordinate geometry, the midsegment theorem shows that the midsegment of a triangle is 1/4 area of the triangle.

How to show that the midsegment of a triangle is 1/4 area?

The midsegment if a triangle is defined as a line that joins two midpoints of two opposite sides of a triangle.

The midsegment theory of a triangle states that in a triangle, the midsegments of 2 sides is parallel to, and half the length of the 3rd side.

The 3 midsegments of a triangle forms a small triangle within the larger triangle.

This therefore, forms 4 triangles.

Area of a triangle =base x height

Hence 4 triangles are formed,

The area of the larger triangle is [tex]\frac{bh}{4}[/tex] =1/4(bh)

Therefore;  Area =1/4 of area.

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An aabbccddeeff individual is crossed with an individual with the genotype aabbccddeeff. What is the probability that their offspring will have the genotype aabbccddeeff?.

Answers

When an aabbccddeeff individual is crossed with an individual with the genotype aabbccddeeff, the probability that their offspring will have the genotype aabbccddeeff would be 1/64.

The genotype of an organism refers to the complete set of genetic material. An offspring's genotype is the result of the combination of genes from their parents.  In order to obtain the overall probability, individual probabilities for each locus will be multiplied. The Parent cross would be AABbccDdEeFF x AaBBCCDdEeff and offspring would be AaBbCcddEEFf.

The A locus cross is AA x Aa, half of the offspring will be AA and half of the offspring will be Aa. Hence, the probability of Aa would be ½.The B locus cross is Bb x BB, half of the offspring will be BB and half of the offspring will be Bb. Hence, the probability of Bb is ½. The C locus cross is cc x CC. All of the offspring will be Cc. Hence, the probability of Cc is 1.The D locus cross is Dd x Dd. One-fourth of the offspring will be DD, one half of the offspring will be Dd, and one-fourth of the offspring will be dd. Hence, the probability of dd is ¼.The E locus cross is Ee x Ee. One-fourth of the offspring will be EE, half of the offspring will be Ee, and one-fourth of the offspring will be ee. Hence, the probability of EE is ¼.The F locus cross is FF x ff. All of the offspring will be Ff. Hence, the probability of Ff is 1.

Multiplying all the probability:

½ * ½ * 1 * ¼ * ¼ * 1 = 1/64

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If the area of the rectangle is 42 square units, what is the area of the shaded part?

Answers

Answer: 16

Step-by-step explanation:

The first triangle has an area of [tex]\frac{1}{2}(7)(2)=7[/tex].

The second triangle has an area of [tex]\frac{1}{2}(6)(3)=9[/tex].

Adding these areas together yields an area of 16.

Write an absolute value equation representing all numbers x whose distance 7 is 3 units

Answers

Answer:

|x-7|=3

Step-by-step explanation:

x is 3 units away from 7

x-3=7

x-7=3

x+3=7

3=7-x

|x-7|=3

Randy and two of his friends have rectangular desks of the exact same size. The sum of the perimeters of the 3 desks is 324 inches.

If the width of each of the desks is 30 inches, what is the length of each desk?

Answers

The length of each desk when the width of each of the desks is 30 inches is A. 24 inches.

How to calculate the length?

From the information, Randy and two of his friends have rectangular desks of the exact same size and the sum of the perimeters of the 3 desks is 324 inches.

The perimeter for each desk will be:

= 324 / 3

= 108

The perimeter is calculated as:

= 2(length + width)

This will be

2(length + width) = 108

2(length + 30) = 108

2l + 60 = 108

Collect like terms

2l = 108 - 60

2l = 48

Divide

l = 48/2

l = 24

The length is 24 inches.

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a box contains tiles. each tile has certain properties: each tile is made of wood or plastic. each tile is red, yellow, or blue. each tile is a triangle, square, pentagon, or circle. there is exactly one tile for each combination of properties. for example, there is one red circle that is made of wood. steve chooses one tile, and ellen chooses a different tile. what is the probability that the two chosen tiles differ with respect to all three properties?

Answers

1/24 is the probability that the two chosen tiles differ with respect to all three properties

1/2  chance that the tiles materials will be different (wood or plastic). 1/3 chance exists that the tiles will have different colors (r, y or b) 1/4 chance where the tile shapes will change (t, s, p or c)the probability that all three attributes of the two tiles will be different.1/2 * 1/3 * 1/4 = 1/24 The probability of an event occurring is a measure of its likelihood. It assesses the likelihood of an event. P(E) = Number of Favourable Outcomes/Total Outcomes is the probability formula.

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WILL GIVE BRAINLIST TO BEST ANSWER! EASY POINTS
write the point slope form of the equation of the line through the given points.
through (-1, -5) and (-5, 3)

Answers

Refer to the photo taken.

Use the distributive property to remove the parentheses.
3c³(7c8 +8c+7)
Simplify your answer as much as possible.

Answers

Answer: 21 c^16 + 24c^9+ 21 c^8

Step-by-step explanation: To multiply exponents with the same base, add them.

Answer:

3c^3(7c^8+8c+7)

=(3c^3)(7c^8+8c+7)

=(3c^3)(7c^8)+(3c^3)(8c)+(3c^3)(7)

=21c^11 + 24c^4 + 21c^3

Step-by-step explanation:

Remember....  ^ is for power

The ratio of the number of beads collected by Jane to the number of beads collected by Jill is 7: 3. Jane gave some beads to Jill. Is it possible for both Jane and Jill to have the same number of beads after Jane gave some beads to Jill? Explain why you think so

Answers

yes , it is  possible for both Jane and Jill to have the same number of beads after Jane gave some beads to Jill and The number of beads Jane has is 7t/4 and Jill has 3t/4 bead's

The ratio of Jane's beads to Jill's beads is 7: 3

Let x be the number of beads Jane has

y be the number of beads Jill has

x/y = 7/3

When Jane's gives t of her beads away both will have the same number of beads so

x - t = y

substituting in the first equation

x/ ( x- t) =7/3

3x= 7x-7t

4x= 7t

x= 7t/4

y= 7t/4 -t

 = 3t/4

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_____ is the act of making products that will be sold.DemandPricingPromotionProduction though many of the recent biotechnology discoveries have brought and continue to bring benefits to humans, other discoveries and proposed methods raise ethical and social concerns. true false Which movement prompted people to challenge medieval practices in views of the world and inspire a rebirth in learning the art and eventually the scientific revolution what is the answer what is the answer what is the step by step answer to learn to do it Jorge has a monthly gross income of $3,500, and his monthly debt payments are: $325 car payment, $290 student loan payment, $930 mortgage payment, and $400 credit card payment. what is his total debt-to-income ratio rounded to the nearest percent? Although it might give her more access to food, why would it be dangerous for a female prisoner to be employed as a domestic worker in an SShousehold?OA. The women in their company would beat them because they were disloyal.OB. They might be assaulted or hurt by the family they worked for.O C. They might be mistaken for an Aryan citizen upon their return.O D. There were not allowances for female prisoners to do domestic work. robin is of normal weight, but feels intensely guilty after eating half of a chocolate cake. as a result, she tries to compensate by working out vigorously. if this cycle is regular, robin might be diagnosed with how many moles of iron (ii) sulphate were reacted during the experiment that produced this equation NaOH(aq) + FeSO(sq) ->Na2SO4(aq) + Fe (OH) 2 (s) For a field trip 9 students rode in cars andthe rest filled eight buses. How manystudents were in each bus if 265 studentswere on the trip? Which two steps are in the wrong order for scientific method? Ask a question, make a hypothesis, test hypothesis, draw conclusions, analyze results, communicate results. Define a function calc_pyramid_volume with parameters base_length, base_width, and pyramid_height, that returns as a number the volume of a pyramid with a rectangular base. what can cause the market equilibrium price and equilibrium quantity of bacon -- a normal good -- to increase? What is your opinion of marketing and tracking measures that aim to change your habits? Are these marketing/tracking practices beneficial or detrimental? Explain. In the land of Grindelwald, there was a village with a population of 1000 called Hagenheim. In this village, there lived three groups of beings; the Nelwins, the Pixies, and the Dykinies. Nelwins were the largest group, consisting of 55% of the population, Pixies made up 30% of the population, and the much taller Dykinies made up 15%. Infectious diseases were rare in the village, mostly because of strict hygiene laws, but everyone was not as good at obeying them and they did have occasional outbreaks of foodborne illness. One of the largest outbreaks occurred in 2015 when a gondark was captured and the meat roasted and shared among the villagers. Within 4 hours of the event, many people became violently ill and developed large purple spots on their hands and faces. The diagnosis of Lavender disease was made, and the prevalence for the 2015 outbreak was 45/1,000 villagers. Lavender disease attacked again in 2016 with the appearance of 213 cases following the grape harvest festival. A vaccine for Lavender disease was in development but was not yet available. Shortly after the resurgence in 2017, when only 25 new cases of Lavender disease were identified, individuals in Hagenheim began suffering from Procrastinitis, a chronic and incurable condition, to which anyone who had had Lavender disease was immune. 225 cases were reported in 2017, but a few months into the outbreak, the vaccine for lavender disease was approved for distribution under a EUA and ring vaccinations were initiated to prevent the further spread of both diseases. The vaccine was very effective and the number of cases of both diseases rapidly declined, so by 2018, there were 7 new cases of Procrastinitis,[ 4 among the Pixies, and 3 among the Dykinies. ]. A holiday was declared, all stores were closed, and local specialties were prepared and served. This led to another outbreak of 50 cases of Chocoloca disease, a disease that only affects Dykinies. Assuming that there was no birth, death, or migration, answer the following questions.QUESTIONSShow your work!1) What was the prevalence rate (per 100) of Lavender disease for 2015-2016?2) What was the incidence rate of Lavender disease in 2017 (per 100)?3) What was the probability (risk) of Procrastinitis development among the citizens of Hagenheim in 2017?4) What was the prevalence rate of Procrastinitis in 2018 (per 100)?5) What was the incidence rate of Procrastinitis in 2018 (per 100)? 1. The retail price of grapes is $2.17 per pound. if a customer paid $8.68 for grapes, how many pounds did she buy? Write an article for publication in a national daily on the menace of street urchins a suggest 4 ways things can be put right which of the following is not one of the most common depreciation methods? a.units-of-activity method b.double-declining-balance method c.straight-line method d.sum-of-the-years-digits method according to bandura, collective efficacy group of answer choices springs from a collective mind. is opposed to personal efficacy. stems from the personal efficacy of many people working together. is more likely than personal efficacy to help a person quit smoking. Round 74.9963 to the nearest 10 (b) A local store is keeping track of service times. The table belowshows the number of customers served and the time it took.Number of customers 2-6-7Time (in minutes) 8-24-28_It does not always take the same amount of time to serve each customer._It appears to take the same amount of time to serve each customer