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2 years ago

Solve for r.

Mathematics

1 answer:

-Dominant- [34]2 years ago

3 0

Answer:

A. r < 15.5

Step-by-step explanation:

Move all terms not containing r to the right side of the inequality.

Inequality Form: r < 15.5

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What is the greatest factor of 52 that is a prime number?

Sophie [7]

Factors of 52 = 1, 2, 4, 13, 26, 52.

The greatest factor of 52 that is a prime number is 13.

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2 years ago

The length of a rectangle is three inches more than the width. the area of the rectangle is 180 inches. find the width of the re

ch4aika [34]

We have a rectangle with length L that is 3 inches more than the width W. Then we can write this as:

$L=W+3$

The area of the rectangle is 180 square inches.

We have to find the width W.

As the area is equal to the product of the length and the width, we can write this equation and solve for W as:

$\begin{gathered} A=180 \\ L\cdot W=180 \\ (W+3)\cdot W=180 \\ W^2+3W=180 \\ W^2+3W-180=0 \end{gathered}$

We have a quadratic equation. The roots of this equation will be the mathematical solutions.

We can find the roots using the quadratic formula:

$\begin{gathered} W=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ W=\frac{-3\pm\sqrt[]{3^2-4\cdot1\cdot(-180)}}{2\cdot1} \\ W=\frac{-3\pm\sqrt[]{9+720}}{2} \\ W=\frac{-3\pm\sqrt[]{729}}{2} \\ W=\frac{-3\pm27}{2} \\ W_1=\frac{-3-27}{2}=-\frac{30}{2}=-15 \\ W_2=\frac{-3+27}{2}=\frac{24}{2}=12 \end{gathered}$

The solutions are W = -15 and W = 12.

The first one is not valid, as W has to be greater than 0.

Then, the solution to our problem is W = 12 in.

Answer: the width is W = 12 inches.

6 0

1 year ago

frank is a time-share brokers. his earnings are based on a graduated commission. he receives 3% on any time-share sale up to $10

noname [10]

Answer:

$325

Step-by-step explanation:

Time-share = $10 500

On first $10 000 ,

Commission at 3 % = 0.03 × 10 000 = $300

On remaining $500,

Commission at 5 % = 0.05 × 500 = 25

Total commission = $325

Frank made $325 selling the time-share.

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3 years ago

Goran has scored 38, 27, 23, 19, and 26 points in his five basketball games so far. How many points does he need to score in his

ArbitrLikvidat [17]

Answer:

Step-by-step explanation:

(38+27+23+19+26+X)/6=27

133 + X = 162

X = 29

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2 years ago

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Answer:

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