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3 years ago

the area of a gymnasium floor is 264 square yard. the floor is 11 yards wide . how long is the floor?

2 answers:

4 0

Area = Length x Width (A = L x W)

A = 264, W = 11, L = ?

Rewrite the equation to find L. In order to reverse multiplication, you must divide.

L = A / W

L = 264 / 11 = 24 yards

Ipatiy [6.2K]3 years ago

3 0

A = L x W

264 = L x 11

L = 264/11

L = 24 yards.

24 yards is the correct answer.

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Figure a is translated 3 units right and 2 units of the translated figure is labeled figure beef figure B is reflected over the

GalinKa [24]

Answer:

The answer would be A

Step-by-step explanation:

3 0

4 years ago

David is right times older than Nicole. If David is 32 years old , how old is Nicole? Write an equation to solve Nicole's age.

rosijanka [135]

Answer:

8a=32

Step by Step

Since David is 8x older than Nicole you could write Nicole as the age of a, so then David would be 8a. You are given David is 32 years old so you set 8a equal to 32.

Answer is 4

Nicole is 4 years old

8a=32

divide both sides by 8

Answer is 4

6 0

3 years ago

(2x^3+9x^2+x-12)/(x+4) simplify

neonofarm [45]

Answer:

Step-by-step explanation:

$\frac{2 {x}^{3} + 9 {x}^{2} + x - 12}{x + 4}$

Write $9 {x}^{2}$ as a sum

$\frac{2 {x}^{3} - 2 {x}^{2} + 11 {x}^{2} + x - 12}{x + 4}$

Write X as a sum

$\frac{2 {x}^{3} - 2 {x}^{2} + 11 {x}^{2} - 11x + 12x - 12 }{x + 4}$

Factor out $2 {x}^{2}$ from the expression

$\frac{2 {x}^{2}(x - 1) + 11 {x}^{2} - 11x + 12x - 12 }{x + 4}$

Factor out 11x from the expression

$\frac{2 {x}^{2} (x - 1) + 11x(x - 1) + 12x - 12}{x + 4}$

Factor out 12 from the expression

$\frac{2 {x}^{2}(x - 1) + 11(x - 1) + 12(x - 1) }{x + 4}$

Factor out X - 1 from the expression

$\frac{(x - 1)(2 {x}^{2} + 11x + 12)}{x + 4}$

Write 11x as a sum

$\frac{(x - 1)(2 {x}^{2} + 8x + 3x + 12)}{x + 4}$

Factor out 2x from the expression

$\frac{(x - 1)(2x(x + 4) + 3x + 12)}{x + 4}$

Factor out 3 from the expression

$\frac{(x - 1)(2x(x + 4) + 3(x + 4)}{x + 4}$

Factor out X + 4 from the expression

$\frac{(x - 1)(x + 4)(2x + 3)}{x + 4}$

Reduce the fraction with X + 4

$(x - 1)(2x + 3)$

Multiply the parantheses

$2 {x}^{2} + 3x - 2x - 3$

Collect like terms

$2 {x}^{2} + x - 3$

Hope this helps...

Good luck on your assignment...

4 0

3 years ago

Graphing linear equations

ella [17]

Answer:

To ensure uniformity on an exam

To test whether you can distinguish between the two formats

Step-by-step explanation:

Standard form is when a straight line equation is rearranged in the form:

$ax + by = c$

Therefore y=2x+4 in standard form is

$2x - y = - 4$

The slope-intercept form is when a a straight line equation is written in the form:

$y = mx + c$

where m is the slope and c is the y-intercept.

The given equation is

$y = - \frac{1}{2} x - 5$

This is already in slope-intercept form:

The standard form and slope-intercept forms are just formats.

Your instructor may restrict you to leave your answer in one of these formats maybe for uniformity on a test.

You may also decide to rewrite an equation in slope-intercept form, so that you can easily identify the slope and y-intercept easily for graphing purpose.

6 0

4 years ago

Able to help Q39? Thank you

Alex

A)

y varies inversely as (x-1).

Implies y α 1/(x -1)

   y = k/(x-1). Where k is constant of proportionality.

   y*(x - 1) = k

when y = 12, x = 1/2

12*(1/2 - 1) = k

12*(0.5 - 1) = k

k = 12*(-0.5) = -6.

k = -6.

Equation connecting x and y

y*(x - 1) = k, recall k = -6

y*(x - 1) = -6

b)

when x = a.

y*(x - 1) = -6

y*(a - 1) = -6

y = -6 / (a -1)

when x = 2a.

y*(2a - 1) = -6

y = -6 / (2a -1)

Difference in y is 1.8

-6 / (2a -1) - -6/(a - 1) = 1.8

-6 / (2a -1) + 6/(a - 1) = 1.8

6 / (a -1) - 6 /(2a -1) = 1.8

6( 1/(a-1) - 1/(2a - 1)) = 1.8

1/(a-1) - 1/(2a - 1) = 1.8/6

1/(a-1) - 1/(2a - 1) = 0.3

((2a - 1) - (a - 1)) / ((a-1)(2a -1)) = 0.3

(2a - 1 -a + 1) /((a-1)(2a -1)) = 0.3

a / (2a² - 3a + 1) = 0.3

a/0.3 = 2a² - 3a + 1

10a/3 = 2a² - 3a + 1

2a² - 3a + 1 = 10a/3

2a² - 3a -10a/3 + 1 = 0

2a² - 19a/3 + 1 = 0

6a² - 19a + 3 = 0

This is a quadratic expression which can be factored.

6a² - 18a - a + 3 = 0

6a(a - 3) - 1(a - 3) = 0

(6a - 1)(a - 3) = 0

6a - 1 = 0 a = 1/6

a - 3 = 0   a = 3.

a = 3 or 1/6

Since a is positive integer, a = 3 only.

4 0

3 years ago