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3 years ago

The cost of carpeting a sqaure yard is $9.10. How much does it cost to carpet 12.5 square yards?

Mathematics

1 answer:

lesya692 [45]3 years ago

8 0

Answer:

113.75$

Step-by-step explanation:

I. When a square yard = 9.10

so 1 * 9.1 = 9.1

if 12.5 square yard

then 12.5 * 9.1 = 113.75$

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Simplify the following algebraic expression 5x– 4у + 3y+8y – 7х

Margarita [4]

Answer:

Step-by-step explanation:

Given, 

5x– 4у + 3y+8y – 7х

[Bringing like terms together]

= 5x - 7x - 4y + 3y + 8y

[Adding and subtracting the like terms]

= - 2x + 7y (Ans)

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3 years ago

Point B has coordinates (−4, −2). The x-coordinate of point A is 5. The distance between points A and B is 15 units. What are th

GaryK [48]

$~~~~~~~~~~~~\textit{distance between 2 points} \\\\ A(\stackrel{x_1}{5}~,~\stackrel{y_1}{y})\qquad B(\stackrel{x_2}{-4}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{AB}{15}=\sqrt{[-4 - 5]^2 + [-2 - y]^2}\implies 15^2=(-9)^2+(-2-y)^2$

$225=81+(-2-y)(-2-y)\implies 225=81+\stackrel{F~O~I~L}{(4+4y+y^2)} \\\\\\ 144=4+4y+y^2\implies 0=y^2+4y-140\implies 0=(y-10)(y+14) \\\\\\ y= \begin{cases} 10\\ -14 \end{cases}\qquad \qquad \qquad A(5~~,~~10)\qquad A(5~~,~~-14)$

7 0

2 years ago

In 2017, the price of gas in a certain state changed from $2.24 to $2.56. Calculate the percent of change increase in the price

Eva8 [605]

Answer:

12.5%

Step-by-step explanation:

2.56-2.24 =0.32

By using the rule of three we can find the answer.

we have that 2.56 = 100% so we have to find what percentage 0.32 represents

(0.32*100)/2.56 = 12.5

8 0

3 years ago

Read 2 more answers

Identify the radius for the circle in standard form

Lemur [1.5K]

The radius is 6
Complete the square on the equation and get
(x-6)^2 + (y-6)^2 =36
The circle equation is
(x-h)^2 + (y-k)^2 = r^2
Center(h,k) r=radius

4 0

3 years ago

Read 2 more answers

Find the indicated length or angle measure (to the nearest tenth).

skad [1K]

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Explain the formula to use

Using the cosine rule which states that:

$z^2=x^2+y^2-2xy\cos Z$

STEP 2: Write the given sides

$x=4,y=6,Z=41^{\circ},z=?$

STEP 3: Find the value of z

$\begin{gathered} By\text{ substitution,} \\ z^2=4^2+6^2-2(4)(6)\cos41 \\ z^2=16+36-48cos41 \\ z^2=52-36.22605985 \\ z^2=15.77394015 \\ z=\sqrt{15.77394015} \\ z=3.971641997 \\ z\approx4.0 \end{gathered}$

Hence, the indicated length is 4.0

4 0

1 year ago