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3 years ago

How do you do this problem? Explain.

Mathematics

1 answer:

Elza [17]3 years ago

7 0

Answer:

The charges will be the same after 4 hours.

Step-by-step explanation:

Total Amount = y

Number of hours = x for x > 2

Garage A: y = $7.00 + (x - 2)*3

Garage B: y = 3.25*x

Part 3: What is the cost to be equal?

3.25x = 7 + 3(x - 2) Remove the brackets

3.25x = 7 + 3x - 6 Collect terms on the right

3.25x = 3x + 1 Subtract 3x from both sides.

3.25x - 3x = 3x - 3x + 1 Combine

0.25x = 1 Divide by 0.25

0.25 x/0.25 = 1 / 0.25

x = 4 hours.

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Anna35 [415]

Answer:

answer is 8

Step-by-step explanation:

2/3(x+7)=10

2x/3+14/3=10

2x/3=10-14/3==>30-14/3

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x=16/3*3/2

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3 years ago

If the flare is launched with an initial velocity of 144 feet per second, find the height after 2 seconds. The answer is not 288

Rashid [163]

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

10 men and 5 women are meeting in a conference room. Four people are chosen at random from the 15 to form a committee. (a) What

nata0808 [166]

Answer:

Step-by-step explanation:

Given

There are 10 men and 5 women in a conference room

total People=15

(a)Probability that the committee consists of 2 men and 2 women

we have to select from 10 men and 5 women

$P=\frac{^5C_2\times ^{10}C_2}{^{15}C_4}$

(b)Bob and Jane end up on the same committee

as bob and Jane are necessary to include so there are 4 women and 9 men left to select remaining 2 person

$P=\frac{^{13}C_2}{^{15}C_4}$

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7 0

3 years ago

Henry is making a corn grits recipe that calls for 1/4 cup of corn grits for every 1/2 cup of water. How much water will he need

Archy [21]

Method 1:

$\begin{array}{ccc}\dfrac{1}{4}\ \text{cup of corn}&-&\dfrac{1}{2}\ \text{cup of water}\\\\1\dfrac{1}{2}=\dfrac{3}{2}\ \text{cup of corn}&-&x\ \text{cup of water}\end{array}\qquad\text{cross multiply}\\\\\\\dfrac{1}{4}\cdot x=\dfrac{3}{2}\cdot\dfrac{1}{2}\\\\\dfrac{1}{4}x=\dfrac{3}{4}\qquad\text{multiply both sides by 4}\\\\\boxed{x=3}$

<h3>Answer: Henry will need 3 cups of water.</h3>

Method 2:

$\begin{matrix}\dfrac{1}{4}\ \text{cup of corn}&-&\dfrac{1}{2}\ \text{cup of water}&|\text{multiply both sides by 2}\\\\\dfrac{1}{2}\ \text{cup of corn}&-&1\ \text{cup of water}&|\text{multiply both sides by 2}\\\\1\ \text{cup of corn}&-&2\ \text{cup of water}&|\end{matrix}$

$\begin{matrix}\left(\dfrac{1}{2}+1\right)\ \text{cups of corn}&-&(1+2)\ \text{cups of water}\\\\1\dfrac{1}{2}\ \text{cups of corn}&-&3\ \text{cups of water}\end{matrix}$

<h3>Answer: Henry will need 3 cups of water.</h3>

5 0

3 years ago

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