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3 years ago

12

The speed limit on a highway is 60 miles per hour. A vehicle travels for 2.2 hours on the highway and covers 165 miles. By how m

any miles per hour is the driver over/under the speed limy

1 answer:

elena-s [515]3 years ago

5 0

Answer:

15 miles over

Step-by-step explanation:

r=d/t

r= 165/2.2

rate=75

75 miles - 60 miles=

15 miles

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Need help on this one too

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2 years ago

the combined age of april and laura is 23 years. laura's age is two years more than half of april's age. what is laura's age

Kipish [7]

Laura's age is 9 years.

Solution:

Let x be the age of April.

Laura's age = 2 years more than half of April's age

<u>Convert statement into algebraic expression:</u>

Half of April's age = $\frac{x}{2}$

2 years more than half of April's age = $\frac{x}{2}+2$

Combined age of April and Laura = 23

⇒ April's age + Laura's age = 23

$$\Rightarrow \ \ x+(\frac{x}{2}+2) =23$

$$\Rightarrow \ \ x+\frac{x}{2}+2 =23$

$$\Rightarrow \ \ \frac{x}{1}+\frac{x}{2}+\frac{2}{1} =23$

To add the fractions make the denominators same.

Multiplying 2 on both numerator and denominator of unlike terms, we get

$$\Rightarrow \ \ \frac{x\times2}{1\times2}+\frac{x}{2}+\frac{2\times2}{1\times2} =23$

$$\Rightarrow \ \ \frac{2x}{2}+\frac{x}{2}+\frac{4}{2} =23$

Denominators are same, now add the fractions.

$$\Rightarrow \ \ \frac{2x+x+4}{2} =23$

Do cross multiplication.

$$\Rightarrow \ \ 2x+x+4=23\times2$

$$\Rightarrow \ \ 3x=46-4$

$$\Rightarrow \ \ 3x=42$

$$\Rightarrow \ \ x=14$

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3 years ago

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3 years ago

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A store that sells skis buys them from a manufacturer at a wholesale price of $60. The store's markup rate is 50%. What price do

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Answer:

$90

Step-by-step explanation:

To solve this problem, you simply multiply $60 by 50%. Remember to change 50% into its decimal form (50% -> 0.5).

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Now we add 30 to the original price of $60 to get our final answer.

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2 years ago