Graph the following features:
Y-intercept = -1
Slope = -2

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

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

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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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.

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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Answer:

it's a answer done bro

Dan has money left is £30.

Given:

Dan spends 3/4 of his wages on rent and 1/8 on food.

If he makes £240 per week.

Money left =  240 - 240* 3/4 - 240 * 1/8

= 240 - 60*3 - 240/8

= 240 - 180 - 30

= 60 - 30

= 30.

Therefore Dan has money left is £30.

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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.

Multiplying all the probability:

½ * ½ * 1 * ¼ * ¼ * 1 = 1/64

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Answer

Step-By-Step-Explanation

2 mangoes=eleven lassis

×6                   ×6

12 mangoes=66 lassis

Answer=66 lassis

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.

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

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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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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3x²-2x+5 is the other factor of the above polynomial (6x³-x²+8x+5) other than (2x+1).

In mathematics, a polynomial is an equation made up of coefficients and indeterminates, also referred to as variables. Only addition, subtraction, multiplication, and powers of positive-integer variables may be utilized to solve it. An example of a polynomial with one uncertain x is x² + 4x + 7.

Polynomials are commonly used in calculations in both mathematics and science. For instance, in the fundamental sciences of chemistry, physics, economics, and social science, they are used to define polynomial functions. They are also used in numerical analysis and calculus to approximate other functions. Simple word problems to complex scientific conundrums are all represented by polynomial equations. Polynomials are used in advanced mathematics.

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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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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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Answer:

1 : 4 : 7

15 : 60 : 105

Step-by-step explanation:

1 + 4 + 7 = 12

180⁰ ÷ 12units = 15⁰

1 unit = 15⁰

4 units = 15⁰ × 4 = 60⁰

7 units = 15⁰ × 7 = 105⁰

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:

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

At 2:20 pm they finish the paint of wall.

Given, Al took 6 hours to paint a wall.

Bob took 4 hours and Chuck took 3 hours for same.

Let the work of painting wall is = LCM(6,4,3) = 12 Units

So in 1 hour Al works = 12/6 = 2 units

In 1 hour Bob works = 12/4 = 3 units

In 1 hour Chuck works = 12/3 = 4 units

In 1 hour, Al and Bob together do = 2+3 = 5 units

In 1 hour, all three together do = 2+3+4 = 9 units

Now from noon i.e. 12 to 1.00 pm Al works alone.

So 2 units of work is done.

From 1 pm to 1.30 pm, Al and Bob work together.

In 30 minutes i.e. ½ hour Al and Bob did = (1/2)*5 = 5/2 units

From 1.30 pm they all three work together.

Now the remaining work is = 12-(2+5/2) = 12-9/2 = 15/2 units

So they complete rest in = (15/2)/9 = 5/6 hours = 50 minutes

Hence the time of finishing the work = 1.30 + 50 minutes = 2.20 pm.

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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

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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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

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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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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Answer: Nice

Step-by-step explanation:

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

Los miembros de la sororidad tiene un porcentaje de 14 % de estudiantes procedentes de 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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Answer: The general term is an = 4n

Step-by-step explanation:

Answer:

2x^2 -x -10 is the answer as a product

3x-3 as a sum

Step-by-step explanation:

Assuming (2x-5)(x+2)=0

Let's distribute.

(2x^2+4x)(-5x-10)=0

Then combine like terms

2x^2 -x -10 is the answer as a product

3x-3 as a sum

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

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

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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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.

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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Eli will take 12 hours alone to complete the task.

Acc to our question-

Hence,Eli will take 4 hrs.

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