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kotykmax [81]
4 years ago
8

the length of a rectangle is three times it’s width. if the area of the rectangle is 300 yd^2, find its perimeter.

Mathematics
1 answer:
Mashutka [201]4 years ago
6 0

Answer:

80 yards

Step-by-step explanation:

Using the area formula, A = lw, set up an equation where w represents the width.

The length can be represented by 3w because it is 3 times the width:

A = lw

300 = (3w)(w)

300 = 3w²

Solve for w:

300 = 3w²

100 = w²

10 = w

So, the width is 10 yards.

The length will be 30 yards since the length is 3 times the width.

Then, add the lengths and widths together to find the perimeter:

10 + 10 + 30 + 30

= 80

So, the perimeter is 80 yards

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Which of the following inequalities are correct?
Natali5045456 [20]

Answer:

A and B

Step-by-step explanation:

- 3/5 is less than -1/5 because it is farther away from 0 on a number line (also, when it comes to figure out which inequality is true with negative number, the smaller one is going to be greater because it is closer to 0 on a number line)

3/5 is greater than 1/5 because they are both positive and 3/5 is the bigger number

-1/5 is not less than -3/5 because if A is true, than this cannot be true because it is saying the exact opposite.

6 0
3 years ago
The function C(x) = 25.50x + 50 models the total cost for a cleaning company to clean a house, where x is the number of hours it
vodomira [7]

Answer:

<em>The average rate of change is $25.5 per hour, option B.</em>

Step-by-step explanation:

<u>Average Rate of Change </u>

When we are explicitly given some function C(x), we sometimes need to know the rate of change of C when x goes from x=x_1 to x=x_2. It can be computed as the slope of a line .

\displaystyle m=\frac{C(x_2)-C(x_1)}{x_2-x_1}

The provided function is

C(x)=25.50x + 50

We are required to compute the average rate of change between the points

x_1=3\ ,\ x_2=9

Let's compute

C(3)=25.50(3) + 50=126.5

C(9)=25.50(9) + 50=279.5

\displaystyle m=\frac{279.5-126.5}{9-3}

\displaystyle m=\frac{153}{6}=25.5

The average rate of change is $25.5 per hour, option B.

7 0
4 years ago
PLEASE HELP!!! PLZ!!!
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We can use the vertex form
y = a {(x - h)}^{2}  + k
to find the equation of the graph. We know that a is the coefficient, and since the graph opens upwards and is slightly stretched vertically, we know that a is 1/3. On the graph, we see that the vertex of the parabola is at (0,-1). Therefore, h is 0 and k is -1.
Our vertex form equation is
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Suppose you just received a shipment of seven televisions. Four of the televisions are defective. If two televisions are randoml
kherson [118]

Answer:

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The probability at least one of the two televisions does not​ work is 0.8163

- The probability that both televisions work is?

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Step-by-step explanation:

Total televisions are 7

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Number of televisions selected is 2

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What is the answer to <br> F(x)=x+2
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Step-by-step explanation:

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