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3 years ago

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Dave uses the functionP(d) = 20d - 20 to calculate the net profit of his dog walking business. Where P(d) is the net profit in d

ollars, and "d" the number of dogs he walks. Interpret the meaning of the equation below using the context of the problem
P(3) = 40

1 answer:

Lelechka [254]3 years ago

3 0

When Dave walks three dogs he will earn a net profit of 40 dollars.

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Two friends are collecting cards. Frank has 7 more than half the number of cards as his friend. Together they have 42 cards. How

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Answer:

The number of cards Frank has is 18 and the number of cards his friend has is 24.

Step-by-step explanation:

<u><em>The correct question is </em></u>

Two friends are collecting cards. Frank has 6 more than half the number of cards as his friend. Together they have 42 cards. How many cards does each friend have?

Let

x ----> the number of cards that Frank has

y ----> the number of cards that his friend has

we know that

Together they have 42 cards

$x+y=42$ ----> equation A

Frank has 6 more than half the number of cards as his friend

$x=\frac{y}{2} +6$ ---> equation B

Solve the system by substitution

Substitute equation B in equation A

$\frac{y}{2} +6+y=42$

solve for y

$\frac{3}{2}y=42-6\\\\\frac{3}{2}y=36\\\\y=36(2)/3=24$

<em>Find the value of x</em>

$x=\frac{24}{2} +6=18$

therefore

The number of cards Frank has is 18 and the number of cards his friend has is 24.

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3 years ago

The ratio of Monarch butterflies to Queen butterflies at a butterfly farm was 5:2. If there are no additional butterflies at the

andrew-mc [135]

So we know if there are 5 groups/dozens of Monarch butterflies, there are 2 groups/dozens of Queen butterflies. In other words, there are 5 Monarch butterflies for every 2 Queen butterflies.

Then we can turn that into an equation.

$5x = m \\ \\ 2x =q \\ \\ 5x + 2x = m + q$
From the last equation we wrote we can see that the total number of butterflies in the farm is $7x$ .

When we compare the Queen butterflies to total butterflies, we get $\frac{q}{m + q} = \frac{2x}{5x + 2x} = \frac{2x}{7x} = \frac{2}{7}$

The ratio of Queen butterflies to total butterflies is 2:7.

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2 years ago

Find the simple interest you are investing $200 with a 5.2% interest rate of 3 years

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Answer:

Step-by-step explanation:

Simple interest is

I=Prt, where I= interest, P=principle (initial value), r=interest rate, t=time

I=200(0.052)3

I=$31.20

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2 years ago

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djverab [1.8K]

Answer:

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Step-by-step explanation:

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2 years ago

Calculate the measure of segment KL<br><br><br> HELP PLS

iVinArrow [24]

10x+3 = 3x+24

10x-3x= 24-3

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I’m not so sure of my answer but wish you the best and good luck!!

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2 years ago