Gayle installed a rectangular section of hardwood flooring measuring 12 ft by 12 ft in her family room. She plans on increasing the area of the flooring to 256 ft2 by increasing the width and length by the same amount, x. Which equation can be used to find x? 256 = (12 – x)(12 – x)
256 = (12 + x)(12 + x)
256 = 12(12 + x)
256 = 12(12 – x)

Answer:

8.9

Step-by-step explanation:

[tex]{a}^{2} + {b}^{2} = {c}^{2} \\ {(8)}^{2} + {b}^{2} = {(12)}^{2} \\ 64 + {b}^{2} = 144 \\ \sqrt{ {b}^{2} } = \sqrt{80} \\ b = 4 \sqrt{5} \: or \: 8.9[/tex]

Answer:

50 years

Step-by-step explanation:

a century is 100 years so half of that would be 50

Answer:

32

Step-by-step explanation:

Dividing by a fraction is the same as multiplying by the reciprical of the fraction, i.e. dividing by 1/4 is the same as multiplying by 4/1 :)

Answer:

It's the first graph.

Step-by-step explanation:

The data points resemble the data in the table more than the second.

Step-by-step explanation:

xdjdirifkf

fkckfkrrmf

fmdkrkrmfofofk

fkfofkrorof

Answer:

The perimeter, in inches, is 32.

Step-by-step explanation:

Since this shape is a square, we know that all sides are equal.

The information given to us is that one side of the square measures 8 inches.

8 + 8 + 8 + 8 = 32

Answer:

c   32

Step-by-step explanation:

Squares have 4 sides of the same length

8 * 4 = 32

Answer:

H0 : u ≤ 40 mins  against  Ha: u> 40 mins

Step-by-step explanation:

The hypotheses will be set as follows

H0 : u ≤ 40 mins  against  Ha: u> 40 mins

The null hypothesis is that the mean delivery time is less and equal to 40 minutes.

against the claim

that the mean delivery time is greater than 40 minutes.

40 minutes is taken because the success depends on the factor that if the delivery time is less and equal to 40 minutes then the home delivery service will be successful

But if it is greater than 40 minutes then the home delivery service will not be successful

Answer:

a = x² + 3x - 40

Step-by-step explanation:

a = l * w

a = (x - 5)(x + 8)

a = x(x + 8) - 5(x + 8)

a = (x² + 8x) + (- 5x - 40)

a = x² + 3x - 40

Answer:

Step-by-step explanation:

9514 1404 393

Answer:

  18, 21

Step-by-step explanation:

Let x represent the smaller number. Then x+3 is the larger number, and the other relation between them is ...

  3(x+3) = (7/10)(5x)

  6x +18 = 7x . . . . . multiply by 2 and simplify

  18 = x . . . . . . . . . . subtract 6x

The two numbers are 18 and 21.

Answer:

y=sin(°/3) means that y equals the sine of a given degree divided by 3.

Let's take the first value of x and y.

When x = 4, y = -3. This also gives us point

(4, -3). We need another point to find the slope.

From the table I see the point (5, -4.5)

.

See it?

Let m = slope

m = (-4.5 -(-3))/(5-4)

m = (-4.5 + 3)/1

m = (-1.5)/1

m = -1.5

Now, use the slope m and one of the points to plug into the point-slope formula.

Here is the point-slope formula:

y - y_1 = m(x - x_1)

I will use the point (4, -3) and m.

y - (-3) = -1.5(x - 4)

y + 3 = -1.5x + 6

The slope-intercept form we want is

y = mx + b.

y = -1.5x + 3

Answer:

1.10

Step-by-step explanation:

Answer:

$1.09

Step-by-step explanation:

3 10 dollar bills is $30

$30 - $25.34 - $2.99 - $0.58 = $1.09

Answer:

10 tubes

HOPE THIS HELPS

- Todo ❤️

Step-by-step explanation:

15/1.5=10

Answer:

She purchased the item at a price of Rs 1,406.

Step-by-step explanation:

5% of discount:

This means that she paid 100% - 5% = 95% = 0.95 of the original price of x, that is, 0.95x, and 0.05x was the discount.

Original price:

She got the discount amount of Rs 74.

74 is 5% of the original price, that is:

[tex]0.05x = 74[/tex]

[tex]x = \frac{74}{0.05}[/tex]

[tex]x = 1480[/tex]

What price she purchased:

74 subtracted from the original price, that is, x - 74. So 1480 - 74 = 1406.

She purchased the item at a price of Rs 1,406.

Answer:

x=10.8

Step-by-step explanation:

9²+6²=c²

81+36=c²

117=c²

√117=10.81

x=10.81

Answer:

3x-1y

Step-by-step explanation:

i think that Is that

Answer:

what is 4x+3y-x-4y?

Simplify the expression.

Final answer: 4x+3y-x-4y = 3x-y

Step-by-step explanation:

I hope that this answer helps you to understand your question more thoroughly. If you have any other questions, please put them below.

Have a great rest of your day/night!

9514 1404 393

Answer:

  8.4

Step-by-step explanation:

The given segment relations tell you that the parallel lines are equally spaced. This means that ...

  WV = 3×WY

  WV = 3×2.8

  WV = 8.4

Given:

Two sides of a triangle are 14 and 23.

To find:

The angle for the measures for the third side of a triangle.

Solution:

If a, b, c are three sides of a triangle, then

[tex]a+b>c[/tex]

[tex]a+c>b[/tex]

[tex]b+c>a[/tex]

It is given that two sides of a triangle are 14 and 23.

Let the third side of the given triangle be c. Then, using the above inequalities, we get

[tex]a+b>c[/tex]

[tex]14+23>c[/tex]

[tex]37>c[/tex]                 ...(i)

Similarly,

[tex]a+c>b[/tex]

[tex]14+c>23[/tex]

[tex]c>23-14[/tex]

[tex]c>9[/tex]                 ...(ii)

And,

[tex]b+c>a[/tex]

[tex]23+c>14[/tex]

[tex]c>14-23[/tex]

[tex]c>-9[/tex]                 ...(iii)

Using (i), (ii) and (iii), we get

[tex]9<c<37[/tex]

Therefore, the range for third side of the triangle is [tex]9<c<37[/tex].

Answer: The answer is 652.8

Step-by-step explanation:

First, one dozen cupcakes is 12.. So do 12*2=24 to get two dozen cupcakes.

Next, do 27.2*24=652.8

Answer:

49°

Step-by-step explanation:

7.5x-15+90=180

7.5x+75 =180

7.5x=105

x =14

so NPQ = ( 4×14 -7 ) = 49° this the answer

Answer:

30

Step-by-step explanation:

8x6 is 48

7x6 is 42

so 5x6 is 30

Answer:

Step-by-step explanation:

This is a right triangle

the 20 foot ladder is the hypotenuse

The 9 foot at the bottom is one leg

The height is the remaining leg

Use the pythagorean theorem

a² + b² = c²

a² + 9² = 20²

Subtract 9² from both sides

a² = 20² - 9²

a² = 400 - 81

a² = 319

Take the square root of both sides

a = 17.860571099491752

rounded

17.9 feet

Answer:

A ladder is the hypotenuse of the right triangle.

Missing leg is x.

Use Pythagorean:

Answer:

9yx

Step-by-step explanation:

product means multiply.

nine, y and x

9yx

Answer:

a=1, b=3

Step-by-step explanation:

2a+3b=11---(1)

4a-5b=-11---(2)

(1)×2-(2): 4a+6b=22

-) 4a-5b=-11

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

11b=33

b=3

Put b=3 into (1), we have

2a+3(3)=11

2a=2

a=1

Answer:

x = 33

Step-by-step explanation:

these two angles are a linear pair, they form a straight line

there are 180 degrees in a straight line

so you can add each expression and have sum equal 180

2x-18 + 4x = 180

6x - 18 = 180

6x = 198

x = 33

9514 1404 393

Answer:

Step-by-step explanation:

We notice the first pair of coefficients is the same as the last pair (with the sign changed). This means we can factor by grouping.

  f(x) = (2x^3 +6x^2) -(2x +6)

  f(x) = 2x^2(x +3) -2(x +3)

  f(x) = 2(x^2 -1)(x +3) = 2(x -1)(x +1)(x +3)

The factors are made to be zero when x is 1, -1, or -3.

The x-intercepts are (1, 0), (-1, 0), (-3, 0).

The y-intercept is the constant, -6.

Answer:

118.7 yards

Step-by-step explanation:

You didn't ask a question

Did you want the length of the diagonal line?

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

d² = 64² + 100²

d² = 4,096 + 10,000

d² = 14,096

Take the square root of both sides

d = 118.7265766372

Rounded

118.7 yards

Answer:

4.5

Step-by-step explanation:

Answer:

it's answer is B

Step-by-step explanation:

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

=x2+x-6