7.69 to the nearest whole number.

Answer:

x=5

y=-2

Step-by-step explanation:

even though this looks like they want you to do it elimination ima do substation cause I like that better

2x-y=12

   +y. +y

2x=12+y

-12    -12

2x-12=y

Now we can fill in y

3x+4(2x-12)=7

3x+8x-48=7

11x-48=7

   +48. +48

11x=55

/11. /11

x=5

fill in X to find y

2(5)-y=12

10-y=12

-10. -10

-y=2

y=-2

hopes this helps please mark brainliest

If the amount after 4 years is 844.13. Then the rate of the compound interest will be 3%.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

Hannah contributes £750 and following 4 years has £844.13. Then the compound interest rate is given as,

844.13 = 750 (1 + r)⁴

(1 + r)⁴ = 1.1255

1 + r = 1.02999

r = 0.0299

r = 2.99%

r ≈ 3%

If the amount after 4 years is 844.13. Then the rate of the compound interest will be 3%.

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The equation which can be used to find how much fabric is used in each bandana is [1/2 ÷ 6 = x].

So, the equation to get fabric used in each bandana:

Then, the fabric in each bandana will be:

Solve as follows:

So, 1/12 yards of fabric is used in each bandana.

Therefore, the equation which can be used to find how much fabric is used in each bandana is [1/2 ÷ 6 = x].

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Complete question:

The drama teacher is making bandanas for costumes. She is cutting 1/2 yard of fabric into 6 bandanas of the same size. Write and solve an equation to find how much fabric there will be for each bandana.

The equation 22+(d-1)0.5 = 30 may be used to determine how many days it will take the plant to reach a height of 30 cm. The value of d is 17, and it stands for the number of days.

There are two definitions for an arithmetic sequence. It is a series where the differences between every two succeeding terms are identical or each term in an arithmetic sequence is formed by adding a fixed number (positive, negative, or zero) to its preceding term.

The following details are available to us:

A 22 cm tall basil plant that is gaining half a centimeter daily was purchased by Matteo.

We now have the arithmetic progression shown below with the common difference, indicated by the letter d:

22, 22.5, 23, 23.5, ...

The formula for calculating the nth term:

When an is the first term, a(n) = a+(n-1)d.

A) 22+(d-1)0.5 = 30

B) The plant still needs to develop 8 cm, as there is a difference of 8 cm between 30 and 22.

C) D's value:

22+(d-1)0.5 = 30

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From the coefficients of the quadratic equation and the vertex of the parabola, it was found that the graph again crosses the x-axis  in x=7.

The standard form for a quadratic equation is ax²+ bx + c=0, where: a, b and c are your respective coefficients. In the quadratic function, the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.

For solving the quadratic function, you should find the discriminant: Δ=b²-4ac and then use this variable in the formula: [tex]\frac{-b \pm \sqrt{\Delta} }{2a}[/tex] .

The given equation is a quadratic function because have a degree equal to 2. Therefore, the graph is represented by a parabola. The vertex of the parabola is given by the coordinates(xv= -b/2a, yv= -Δ/4a).

From the given figure, it is possible to see that:

For x= -1, you have y=0, then:

ax²+bx+c=0 -> x=-1

a (-1)²-b+c=0

a*1-b+c=0

a-b+c=0 (1)

For y= 2, you have x=0, then:

ax²+bx+c=0

a*0²+b*0+c=2

0+0+c=2

c=2 (2)

As, a-b+c=0 (1) and c=2 (2), you have:

a-b+c=0

a-b+2=0

a-b=-2 (3)

Now, you should use the information about the xv.

[tex]x_v=\frac{-b}{2a} =3[/tex]

-b=6a

b=-6a

From equation 3, you will find the coefficient a .

a-b=-2 (3)

a-(-6a)= -2

a +6a =-2

7a= -2

a=-2/7

If a= -2/7, from equation 3 you can find the coefficient b.

b=-6a = -6* (-2/7)=12/7

Thus, the quadratic equation of the plot is: ax²+bx+c

[tex]f(x)=-\frac{2}{7}\cdot \:x^2+\frac{12}{7}\cdot \:x+2[/tex]

Now, you should find the roots for the found equation :[tex]f(x)=-\frac{2}{7}\cdot \:x^2+\frac{12}{7}\cdot \:x+2[/tex].

[tex]x_{1,\:2}=\frac{-12\pm \sqrt{12^2-4\left(-2\right)\cdot \:14}}{2\left(-2\right)}[/tex]

[tex]x_1=\frac{-12+16}{2\left(-2\right)}=-1,\:x_2=\frac{-12-16}{2\left(-2\right)}=7[/tex]

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Answer:

The answer is w= -1

Step-by-step explanation:

4w + 2 + 0.6w = -3.4w - 6

4.6w + 2 = -3.4w - 6

8w + 2 = -6

8w = -8

w = -1

Answer: 16

Step-by-step explanation:

Answer:

Yes it is

Step-by-step explanation:

Every new number is 3 less than the last number

n-3

Answer:

Yes, -3

Step-by-step explanation:

An arithmetic sequence is when the numbers in the sequence are subtracted or added by the same value everytime to get the next number. (NOT multiplied or divided, if it's that then it's a geometric sequence)

from 36 to 33, we can see the change is -3
from 33 to 30, it's also -3
from 30 to 37, it's also -3

The common difference is the difference between the two consecutive terms in the sequence, which is -3

Since it's subtracting or adding by the same value everytime to obtain the next value, this sequence is an arithmetic sequence, and the common difference is -3

The amount a container would take to spray 1 entire lawn is 7 litres.

Given that a container with 3½ liters of weed killer can spray 1/2 of a lawn.

We want to find the amount of liters to take a spray 1 entire lawn.

3½ liters of weed killer can spray 1/2,

liters take to spray 1 lawn is 3½/1/2=7 liters

Hence, the amount of liters it would take to spray 1 entire lawn when a container with 3½ liters of weed killer can spray of a lawn is 7 liters.

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Answer:

Step-by-step explanation:

We know that perpendicular lines have opposite-reciprocal slopes.

Given line:

Its slope is 2 and the perpendicular line has a slope of - 1/2.

Let's find the line with the slope of - 1/2:

Answer:

c

Step-by-step explanation:

The probability that he is a male civilian employee is 0.13362.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Given that 66% of full-time law enforcement employees are sworn officers, 34% of them are civilian employees (100 - 66).

Given that 60.7% of civilian employees are women. Therefore, the percentage of men is (100 - 60.7)% or 39.3%.

Therefore, the likelihood that he works as a male civilian is 39.3% of 34%, which equals 0.393 * 0.34, = 0.13362.

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The ratio of a : b in the given expression is 16:3  .

In the question ,

it is given that

the algebraic expression is (a+3b)/5 = (a-2b)/2

we have to find the ratio of a:b ,

in order to find the ratio,

we cross multiplying ,

On cross multiplying , we get

2 * (a+3b) = 5 * (a-2b)

2a + 6b = 5a - 10b

5a - 2a = 10b + 6b

3a = 16b

dividing both sides by b ,

a/b = 16/3

a:b = 16:3

Therefore , The ratio of a : b in the given expression is 16:3 .

The given question is incomplete , the complete question is

What is the ratio of a:b in the expression (a+3b)/5 = (a-2b)/2  ?

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Answer:

your answer is [tex]27/60[/tex] and [tex]7/60[/tex]

He ran 42.1 kilometers.

A conversion factor is a number that is used to multiply or divide one set of units into another. If a conversion is required, it must be done using the correct conversion factor to get an identical value. For instance, 12 inches equals one foot when converting between inches and feet. The act or process of transforming something into a different condition or form is known as conversion. to convert a value or expression between two different forms. • Measurement: converting between different units, for as from inches to millimeters or liters to gallons. For instance, change 12 inches to millimeters. 304.8 millimeters are equal to 12 inches multiplied by the inch-to-millimeter ratio of 25.4.

Given,

A marathon is a 26.2-mile race that commemorates the run made by a greek soldier, pheidippides, that took place in 490 bce.

1 mile = 1.609

Converting miles into kilometer:

26.2 miles

= 26.2 × 1.609

= 42.1

He ran 42.1 kilometers.

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The graph the system of linear equations on a coordinate plane is added as an attachment

A system of linear equations is a collection of at least two linear equations.

In this case, the system of equations is given as

y=4/3x+4

3y=-2x-6

Rewrite the equations in the system of equations as follows:

So, we have the following representation

y = 4/3x + 4

3y = -2x - 6

Next, we plot the graph of the system of equations

In this case, the point of intersection of the equations represent the solution to the system

From the graph, the lines intersect at (-3, 0)

This means that the solution to the system of equations is (-3, 0)

See attachment for the graph of the system of equations

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The value of x for the given parallelogram is 4.8 cm.

According to the question,

We have the following information:

We have a parallelogram with base x cm, height 2.5 cm and area 12 square centimeters.

(More to know: in a parallelogram, the opposite sides are equal and parallel to each other. Opposite angles of parallelogram are equal and the sum of consecutive angles is 180°.)

We know that the following formula is used to find the area of the parallelogram:

Area of parallelogram = Base*height

x*2.5 = 12

x = 12/2.5

x = 4.8 cm

Hence, the value of x is 4.8 cm.

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The amount you pay for the items is C. $41.42.

The amount that the customer pays for the two items is determined by first discounting the second item by 60%.

The result after the discount is added to the cost of the first item before the sales tax is added to get the final cost of the items.

Discount on second item = 60%

The price of the first item purchased = $30

The price of the second item purchased = $20

Discounted price on the second = $8 ($30 x (1 - 60%)

Total cost before sales tax = $38 ($30 + $8)

Sales tax = 9%

Total cost after sales tax = $41.42 ($38 x 1.09)

Thus, after discounting the second item by 60% and adding the sales tax of 9%, the customer will pay $41.42 for the items.

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Answer:

c. 41.42 my teacher told me the answer

Step-by-step explanation:

The length of the diagonal for the given rectangular book using Pythagoras' theorem will be 5.8.

A rectangle is a geometrical figure in which opposite sides are equal.

Area of rectangle = length × width.

The angle between any two consecutive sides will be 90 degrees.

As per the given rectangle with dimensions 3 × 5.

The rectangle has been attached below,

The length of the diagonal using Pythagoras' theorem is,

x = √(3² + 5²)

x = √34 = 5.8

Hence "The length of the diagonal for the given rectangular book using Pythagoras' theorem will be 5.8".

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The sides of similar triangles are proportional, therefore, the true equation would be: FG/CD = EG/BD.

Two similar triangles have corresponding angle measures that are congruent to each other, but have corresponding side lengths that are proportional to each other.

Similar triangles have the same shape but their sizes are different.

Given that angles C and F are congruent, and angles D and G are congruent, therefore triangle BCD is similar to triangle EFG based on the AA similarity theorem.

Therefore, the corresponding side lengths of both triangles will be proportional, which means that the following equation would be true:

FG/CD = EG/BD

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Answer:

3 feet

1ft:2ft

Step-by-step explanation:

3ft/12 inches

12 inches= 1 foot

We can simplify the denominator by turning 12 inches into 1 foot

3/1

And then we divide to make 3 feet

The width of the rectangle is 12 inches and the length is 2 feet so the ratio is

12 in.:2 ft

12 inches can be simplified to 1 foot

1 ft: 2 ft

And it is simplified as much as possible

Hopes this helps please mark brainliest

The following are features of the parabola shown in the diagram:

Vertex:  (2, -1)

Axis of symmetry: x = 2

The parabola opens downward.

The vertex of a graph is the coordinates of the point where the tip of the parabola lies at.

What is the Axis of Symmetry of a Parabola?

The axis of symmetry of a parabola passes through the vertex and is it expressed as the x-coordinate of the vertex of the parabola.

The tip of the parabola shown in the image above is at (2, -1), and the parabola as can be seen opens downward.

Therefore:

The vertex of the parabola is (2, -1)

The axis of symmetry would be expressed as x = 2. The parabola opens downward as well.

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The angle ∠C is 130° by the alternative angles.

Given that,

In the figure we have a diagram.

We have to find the angle c.

The angles created on the opposing side of the transversal with regard to both straight lines when two straight lines are cut by it are referred to as alternative angles. Therefore, the angles that are on the opposing sides of the transversal and have distinct vertices are those.

We know that,

By alternative angles

∠M=∠C

So,

130°=∠C

Therefore, The angle ∠C is 130° by the alternative angles.

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There are 18 students who like snickers but not twix or reese's peanut butter cups.

Given, that 500 high school students was taken to determine their favorite chocolate candy.

118 like snickers, 185 like twix, 179 like reese's peanut butter cups,

60 like snickers and twix, 87 like twix and reese's peanut butter cups, 57 like snickers and reese's peanut butter cups,

and 17 like all three kinds of chocolate candy.

Let A = Set of students like snickers

B = Set of students like twix

C = Set of students like reese's peanut butter cups

Now, we have to find the number of students like snickers but not twix or reese's peanut butter cups i.e. A - A∩B - A∩C + A∩B∩C

A - A∩B - A∩C + A∩B∩C = 118 - 60 - 57 + 17

A - A∩B - A∩C + A∩B∩C = 135 - 117

A - A∩B - A∩C + A∩B∩C = 18

Hence, there are 18 students who like snickers but not twix or reese's peanut butter cups.

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Answer:

Step-by-step explanation:

yes Saab do

Answer:

$1925

Step-by-step explanation:

So your problem is $55,000 x 3.5%

You can rewrite this as:

55,000 x 3.5/100 or 55,000 x 35/1000

Now multiply. I will remove the /1000 for now.

55,000x35=1925000

Now, divide 1925000 by 1000.

1925/1000=$1,925

It takes 35 years for the population of West Fremont to double. We have the following condition;

West Fremont is a tiny town with 50,000 residents. If West Fremont experiences 2% growth. To solve the given case to get how long it takes for the population of West Fremont to double.

Here, we use the rule of 70 case. The rule of 70: By dividing the number 70 by the growth rate of the variable, the rule of 70 may be used to calculate how many years it will take for a variable to double.

According to the yearly rate of return, the rule of 70 is typically used to calculate how long it would take for an investment to double.

Doubling time = 70 / Growth rate                

= 70 / 2                        

= 35 years

So, it takes 35 years for the population of West Fremont to double.

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We can actually deduce here that the statement, "base of an isosceles triangle can be right angles" is false.

An isosceles triangle is actually known to be a triangle which has two sides equal and opposite angles of the sides also equal. In other words, an isosceles triangle must have at least two equal triangles.

Some of the properties of an isosceles triangle are:

We see here that the base of an isosceles triangle cannot be a right angles. It is still to have one side as a right angle but not the two sides as right angles.

The complete question is:

True or false: Base angles of an isosceles triangle can be right angles.

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Answer:

y=100t+1200, where t is years since 2013 and

Step-by-step explanation:

We only have two points from which to form an equation.  Since we are told that it is a linear equation, two points is all we need to find an equation in the form of y=mx+b, where m is the slope (the rate of change) and b is the y-intercept (the value of y when x=0).  Let's make the x axis the year and y the student population.

Let's put the data into an x,y format, but before we do, lets be sure to adopt the problem's fervent wish that we treat the x variable, t, as the years since 2013.  "t is the number of years after 2013."  (0,1200) becomes is the data point for 2013.  The school's population will be the y-axis.

(0,1200)   [primary school had 1200 students enrolled in 2013], and

(3,1500)   [1500 students in 2016]

---

First calculate m, the slope.  Slope is the Rise/Run between the two points (the change in y over the change in x)

Going from (2013,1200) to (2016,1500) we find that:

  Rise  (in y) = (1500 - 1200) = 300 students

  Run  (on x) = (2016 - 2013) =     3 years

The Rise/Run, or slope, m, is 300/3 or 100:  m = 100

Lets put that into our equation format:

y = 100x + b

X will be the time, in years.  The problem asks that we define x in terms of years after 2013, and that this be assigned the variable, t:

y = 100t +b, where t is years after 2013.

(The 100 tells us that the student population increases by 100 per year)

We now need b, the y-intercept.  One can either graph this and look for the value of y when x=0, of simply input either of the data points.  This looks easy enough to input a point and solve for b:

Remember that t is the (year - 2013)

y = 100t +b   Solve for (2013,1200)

 t = 2013 - 2013 = 0

1200 = 100*(0) + b

b = 1200

Actually, b was easy enough to find without either calculating or graphing, since one of our two points tells us the y-intercept (0,1200).

The equation becomes y = 100t + 1200

See the attached graph.

By probability , 7 is degrees of freedom are there .

Describe probability using an example?

825 Observations and 8 categories .

Degree of freedom = k - 1

     df = 8 - 1

     df = 7

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The relationship between variables p and q is given by p = kq. Also, the value of the variable p when q = 16 is 6 and when p = 2.4, the variable q is 6.4.

Mathematically, a proportional relationship can be represented with the following mathematical expression:

p = kq

Where:

Next, we would determine the constant of proportionality (k) as follows:

Constant of proportionality (k) = p/q

Constant of proportionality (k) = 4.5/12

Constant of proportionality (k) = 0.375.

When q = 16, the variable p is given by:

p = kq

p = 0.375 × 16

p = 6.

When p = 2.4, the variable q is given by:

q = p/k

q = 2.4/0.375

q = 6.4

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