A rectangle is 13 feet long and 4 feet wide. Find its area.

Answer:

The slope is going to be 5 and the y-intercept is going to be (0,9)

Step-by-step explanation:

What is an expression?

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.

The number before x in an expression is going to be the slope of the equation. and the number by itself is your y-intercept of the equation.

What is your y-intercept?

The y intercept is the point on which your line crosses on the y axis.

The line will cross on the number 9 which causes 9 to be the y-intercept.

Given:

Gross salary = $61,890.00

Let's determine the percent of the salary he will pay on loan payments if the payments are $250.00 per month for 144 months.

Let's first find the total amount to be paid in loans:

Total loan payment = $250.00 x 144 = $36,000

The total payment on loans is $36,000

Let's find the number of years in 144 months, where:

1 year = 12 months

This means he will make the payment for 12 years.

Now, to find the percent of total salary to be used on loans, we have:

Let's solve for x:

Divide both sides by 742680:

Therefore, the percent of his total salary he will pay in student loan payments is 4.8%.

ANSWER:

4.8%

Answer:

100°

Step-by-step explanation:

tThe sum of all arc measures that make up that circle is 360 degrees.

QS + RQ + RS = 360

QS = 360 - 120 - 140 = 100

An arc angle is the degree measurement of that angle inside the circle, opposite the arc

m∠R = arc QS = 100°

Answer:

∠ R = 50°

Step-by-step explanation:

the inscribed angle R is half the measure of its intercepted arc QS

the sum of the arcs on a circle is 360° , that is

RQ + QS + SR = 360°

120° + QS + 140° = 360°

QS + 260° = 360° ( subtract 260° from both sides )

QS = 100°

Then

∠ R = \(\frac{1}{2}\) × 100° = 50°

Let:

y = -3x + 9 (1)

3y = -9x + 9 (2)

Replace (1) into (2)

3(-3x + 9) = -9x + 9

Use distributive property on the left hand side:

-9x + 27 = -9x + 9

Add 9x to both sides:

-9x + 27 + 9x = -9x + 9 + 9x

27 = 9

This is false, because:

27≠9

therefore, the system doesn't have solutions

----------------------------------------------------------------------------------------

Answer:

-15228

Step-by-step explanation:

Given the expression :

-4(14)6x for X = 13

To evaluate ; simply substitute 13 for X in the equation :

-14(14)6(13)

-14 * 14 * 6 * 13 = - 15228

Answer:

i) AUB={1,2,3,4,5,6}

ii) BUC={1,2,3,4,5,6,7}

iii)(AUB)UC={1,2,3,4,5,6,7}

iv) {1,2,3,4}

v) {4}

vi){1,2,3,4,5,6,7}

Step-by-step explanation

AUB means all the elements belongs to a and b

AnB means elements common to both sets

Answer:

7/20

Step-by-step explanation:

35%

= 35/100

= 7/20

So, 35% of a number of 7/20 of that number.

Answer:

35% of 100% is 7/20 in fractions.

Answer:

I think its -1

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Answer:

\(28km\)

Step-by-step explanation:

\(5miles = 8km\)

\(17.8miles = x\)

\( \frac{17.8}{5} \times 8km\)

\(x = 28km\)

Answer:

1/3 cup Serving will provide 120 calories and 4 grams of fibre

Step-by-step explanation: one gram = 7.716 calories

1/2 cup serving provides 180 calories and 6 grams.

One cup serving with you provide 360 calories and 12 grams

So

1/3 cup Serving will provide 360/3 calories and 12/3 grams

1/3 cup Serving will provide 120 calories and 4 grams of fibre

Answer:

x = ±√89-30 cos(55) (everything is under the radical)

and then plug the radical into a calculator and you get two answers:

x1= -9.39873

x2=9.39873

Step-by-step explanation:

i hope this helped :)

Answer:

x-7/ x+7

^ fraction ^

Step-by-step explanation:

Answer:

y = 98(w) + 115(20 - w).

Step-by-step explanation:

Ann takes a combine 20 credit hours, and she is taking w credits at Westside, this means that she has to take the rest at Pinewood.

(total credits at Westside)($98) + (total credits at pinewood)($115).

Assuming that she takes all credits at Westside then we say

20(98) + 0, and this is the lowest cost it will be

Assuming she takes all credits at Pinewood, then we say

0 + (20)(115) and this will be the maximum she would pay for 20 credits.

Let y be the total cost of her courses, then we say

y = 98(w) + 115(20 - w).

soda is $6 bc 6+7=13

Answer:

$3

Step-by-step explanation:

1 popcorn + 2 sodas = $13

p + 2s = 13

p = 7

7 + 2s = 13

2s = 6

s = 3

$3 per soda

Answer:

Critical points are :       2/3, -4/3

Step-by-step explanation:

Let’s solve the equation x^2 - 4x = 5 by factoring:

First, we’ll move all the terms to one side of the equation:

x^2 - 4x - 5 = 0

Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:

(x - 5) (x + 1) = 0

Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:

x - 5 = 0 or x + 1 = 0

Solving each equation separately, we find that x = 5 or x = -1.

So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.

Answer: y = -\frac{3}{5}x + \frac{67}{5}$ or -3/5x + 67/5

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line, we need to find the slope of the given line, then negate the reciprocal of that slope. The equation of the line with slope $m$ and passing through the point $(x_1, y_1)$ is given by:

$$y - y_1 = m(x - x_1)$$

In our case, we can find the slope of the given line $5x - 3y = 21$ by writing it in slope-intercept form, which is $y = \frac{5}{3}x - \frac{21}{3}$. The slope of this line is $\frac{5}{3}$, so the slope of the line perpendicular to it is $-\frac{3}{5}$.

We also know that the line passes through the point $(5, 8)$, so we can plug these values into the equation for a line with slope $m$ and point $(x_1, y_1)$ to get:

$$y - 8 = -\frac{3}{5}(x - 5)$$

This simplifies to $y = -\frac{3}{5}x + \frac{67}{5}$, so the equation of the line perpendicular to the given line and passing through the point $(5, 8)$ is $y = -\frac{3}{5}x + \frac{67}{5}$.

The percent relative average deviation for the data set is 0.30%.

((20.96 - 20.89) + (20.85 - 20.89) + (20.92 - 20.89)) / 3 / 20.89 * 100 = 0.30%

The percent relative average deviation for the given data set can be calculated by first finding the absolute differences between each value and the mean (20.89) then adding those differences together. Once the differences are added, divide that by the mean and multiply by 100. This will give you the percent relative average deviation, which in this case is 0.30%.

The percent relative average deviation for the data set is 0.30%.

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Answer:

\(87.5 = \frac{175}{2} = 87 \frac{1}{2} \)

Answer:

7/8 im not 100% sure i could be wrong tho

Answer:

d

Step-by-step explanation:

i took the test

Answer: 267

Step-by-step explanation:

Answer:

V = -0.5

Step-by-step explanation:

Step 1: Define

V = u + at

u = 2

a = -5

t = 0.5

Step 2: Substitute and Evaluate

V = 2 + (-5)(0.5)

V = 2 - 2.5

V = -0.5

The factors of the given polynomial is 3(x-2)(x+b). Therefore, option C is the correct answer.

The given polynomial expression is 3x² + 3bx - 6x - 6b.

The factors are the polynomials which are multiplied to produce the original polynomial.

The factors of given polynomial can be find using grouping method, that is

(3x² + 3bx) - 6x - 6b

=3x(x+b)-6(x+b)

=(x+b)(3x-6)

=3(x-2)(x+b)

The factors of the given polynomial is 3(x-2)(x+b). Therefore, option C is the correct answer.

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Answer:

width = x

length = 2x -6

....

Answer:

A = 2x^2 + 6x

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

8 units

Step-by-step explanation:

find the distance of the lines through coordinates given

distance formula: \(\sqrt{(x_{1}-x_{2})+(y_{1} -y_{2} ) }\)

i) CD=\(\sqrt{(4-4)^2 +(-1+5)^2}\)

  CD=\(\sqrt{0+4^2}\)

  CD=4 units

ii) DE=\(\sqrt{(4-2)^{2}+(-5+3)^2 }\)

 DE=\(\sqrt{(2)^2+(-2)^2}\)

 DE=\(\sqrt{8}\)

 DE= 2 units

iii) ED=\(\sqrt{(2-4)^2+(-3+1)^2}\)

   ED=\(\sqrt{(-2)^2+(-2)^2}\)

   ED=\(\sqrt{8}\)

   ED= 2 units

perimeter of polygon= 2 units+ 2 units+ 4 units

                                  =8 units

Answer:

the football players salary is more that 71,000

Step-by-step explanation:

what ever way the open part of the arrow is facing means more than

for example

10>3

or

1<5

Answer:(3t)^2

Step-by-step explanation:

Steps below