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Marat540 [252]
3 years ago
5

A rectangle has an area of 54 square inches. The width of the rectangle is 9 inches.

Mathematics
1 answer:
stepladder [879]3 years ago
7 0

Answer:

A: 6 inches

Step-by-step explanation:

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Question 3<br> Find the constant of variation (k).<br><br> -y + 9x = 0
egoroff_w [7]

Answer:

9

Step-by-step explanation:

-y + 9x = 0

y = 9x

y = kx

k = 9

3 0
3 years ago
Two numbers are in the ratio of 2 to 3. If the smaller number is 18, the larger number is___.
Tamiku [17]

Answer:

27

Step-by-step explanation:

2:3

18:?

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2 x 9 = 18

3 x 9 = 27

4 0
3 years ago
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A florist can make a grand arrangement in 18 minutes or a simple arrangement in 10 minutes. The florist makes at least twice as
Colt1911 [192]

Answer:

See explanation

Step-by-step explanation:

Let x be the number of simple arrangements and y be the number of grand arrangements.

1. The florist makes at least twice as many of the simple arrangements as the grand arrangements, so

x\ge 2y

2. A florist can make a grand arrangement in 18 minutes =\dfrac{3}{10} hour, then he can make y arrangements in \dfrac{3}{10}y hours.

A florist can make  a simple arrangement in 10 minutes =\dfrac{1}{6} hour, so he can make x arrangements in \dfrac{1}{6}x hours.

The florist can work only 40 hours per week, then

\dfrac{3}{10}y+\dfrac{1}{6}x\le 40

3. The profit on the simple arrangement is $10, then the profit on x simple arrangements is $10x.

The profit on the grand arrangement is $25, then the profit on y grand arrangements is $25y.

Total profit: $(10x+25y)

Plot first two inequalities and find the point where the profit is maximum. This point is point of intersection of lines x=2y and \dfrac{3}{10}y+\dfrac{1}{6}x=40

But this point has not integer coordinates. The nearest point with two integer coordinates is (126,63), then the maximum profit is

\$(10\cdot 126+25\cdot 63)=\$2,835

8 0
2 years ago
Working together, Tyler and Evan painted a fence in 8 hours. If it takes Tyler 12 hours less than it takes Evan to paint the fen
Rudik [331]

Answer:

24hours

Step-by-step explanation:

let Evan be x, Tyler=x-12,equate;1/x+1/(x-12)=1/8,to get x=24 or 4.The correct value of x=24 because if you take x=4 means that Tyler=-8hours which is impossible

8 0
3 years ago
X^2-7x=0 solve the equation​
inn [45]

Answer:

x = 0, 7

Step-by-step explanation:

Step 1: Write out equation

x² - 7x = 0

Step 2: Factor out <em>x</em>

x(x - 7) = 0

Step 3: Find roots

x = 0

x - 7 = 0

x = 7

6 0
3 years ago
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