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Sveta_85 [38]
2 years ago
11

Kerri drives $150$ miles to visit her grandmother. She starts off driving $60$ miles per hour, but then encounters road construc

tion and has to drive $20$ miles per hour the rest of the way. If she spends the same amount of time at the faster speed as at the slower speed, then how many hours did her $150$-mile trip take in total?
Mathematics
1 answer:
andriy [413]2 years ago
5 0

Answer:

5 hours

Step-by-step explanation:

-150 miles in all

-75 miles per speed

<u>60 mph...</u>

60 miles per hour over 75 miles

75 miles ÷ 60 miles = 1.25 hours

<u>20 mph...</u>

20 miles per hour over 75 miles

75 miles ÷ 20 miles = 3.75 hours

<u>Total hours of driving...</u>

60 mph for 1.25 hours

20 mph for 3.75 hours

3.75 hours + 1.25 hours = 5 hours total

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If my friend and i went to get ice cream, I have $30 and each ice cream is $5. What equation would help me solve this? I need an
Anna35 [415]
<h3>Hello there!</h3>

Your question asks to make an equation with the information that was given.

<h3>Answer: y = -5x + 30</h3>

In order to make an equation for your question. We would be making an equation with the formula: y = mx + b.

Formula: y = mx + b

m = change

x = amount of ice cream

b = starting value

We would need to gather the key information from the question.

Key information:

You have $30

Each ice cream cost $5

With the information above, we can make an equation for the question.

What we know is that you started with $30, so that means that 30 would be your b value (starting value).

Your equation should look like this:

y = mx + 30

Now, we know that each ice cream cost $5, but since we're paying for the ice cream, we would subtract that from our starting value. This means that our change would be -5, since we are taking away $5 each time we buy ice cream.

Your equation should look like this:

y = -5x + 30

The equation above would be the equation for your question.

We would do nothing to x but just leave it as is, since we don't know how many ice creams you're going to buy.

y = -5x + 30 should be your FINAL answer.

<h3>I hope this helps!</h3><h3>Best regards, MasterInvestor</h3>
3 0
3 years ago
3. A system of functions is given. Select
Aleks04 [339]

Answer:

Step-by-step explanation:

The easiest way is to graph both functions and see where they intersect.  The intersection is where f(x) = g(x).

f(x) = -x² - 3x + 6

g(x) = 2x² + 5x + 3

5 0
3 years ago
What is the equation of the line whose graph is shown below?<br> у<br> 8<br> -7<br> х
MA_775_DIABLO [31]

Answer:

8y = 7x

Step-by-step explanation:

8 0
3 years ago
I have two questions to solve<br><br> -3x+10=34<br><br> 13x-4=11x+10-8
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-3x + 10 = 34

Subtract 10 from both sides:

-3x = 24

Divide both sides by -3:

X = 24 / -3

X = -8

musiclover10045

Middle School Mathematics 39+20 pts

I have two questions to solve

-3x+10=34

13x-4=11x+10-8

Combine like terms on the right side:

13x -4 = 11x + 2

Subtract 11x from both sides:

2x -4 = 2

Add 4 to both sides:

2x = 6

Divide both sides by 2:

X = 6/2

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