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lorasvet [3.4K]
3 years ago
15

Drew drives his car and Rachel drives her truck in the same direction on the highway at constant speeds for 3.25 hours. During t

his time they do not stop for a break. Drew drives 178.75 miles, and Rachel drives 185.25 miles. Which statement is TRUE
Mathematics
1 answer:
never [62]3 years ago
4 0

Answer:

After 4.5 hours of driving at the same constant speeds, Drew and Rachel are 6.5 miles apart.

Hope This Helps :)

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An alloy consists of nickel, zinc, and copper in the ratio 2:7:9. How many pounds of nickel have to be used to create alloy that
Hunter-Best [27]

We are given ratio nickel to zinc to copper = 2:7:9.

From this ratio we can see that <em>ratio of nickel to zinc is 2:7</em>.

Let us assume number of pounds of nickel have to be used to create alloy that contains 4.9 lb of zinc is x pounds.

So, we can setup a proportion as :

x : 4.9 =  2:7

Or

\frac{x}{4.9}=\frac{2}{7}

On cross multiplication, we get

7x= 4.9× 2

7x = 9.8

Dividing both sides by 7, we get

x = 1.4.

<h3>Therefore, 1.4 pounds of nickel have to be used to create alloy that contains 4.9 lb of zinc.</h3><h3 />
6 0
3 years ago
What is the total cost of a pair of jeans that are priced $40.00 if there is a 6.5% sales tax? $40.65 $42.60 $44.00 $46.50
-Dominant- [34]
A pair of jeans = $40.00
There is a 6.5% sales tax.

First change the % into a decimal by moving the decimal point two spaces to the left.
0.065

Multiply that by 40.00 to find out how much the tax is.

40 × 0.065 = 2.6

Now add the tax to the initial price.
40.00 + 2.6 = 42.60

The total cost is $42.60.
8 0
3 years ago
Read 2 more answers
The doctor recommended that Mike increase the number of calories he burns working out from 1,500 to 1,800. By what percent did t
Viefleur [7K]

Answer: The number of calories increased by 20%.

Step-by-step explanation:

Given : The doctor recommended that Mike increase the number of calories he burns working out from 1,500 to 1,800.

Previous number of calories he used to burn = 1,500

Increase in calories = 1800-1500=300

Now , the percent increase in calories = \dfrac{\text{Increase in calories}}{\text{previous calories}}\times100

=\dfrac{300}{1500}\times100=20\%

Hence , the number of calories increased by 20%.

3 0
3 years ago
Complete the square<br> x<br> 2<br> +<br> 8<br> x<br> +<br> 6
den301095 [7]

Answer:

2

+

8

+

6Step-by-step explanation:

5 0
2 years ago
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If sin θ = 2 over 7 and tan θ &gt; 0, what is the value of cos θ?
sergey [27]
Sin θ = 2 / 7
tan θ > 0
cos θ = ?

sin θ = opposite / hypotenuse
tan θ = opposite / adjacent
cos θ = adjacent / hypotenuse

short leg = opposite = 2
hypotenuse = 7
long leg = adjacent = ?

adjacent = √(7² - 2²)
adjacent = √(49 - 4)
adjacent = √45
adjacent = √9 * 5
adjacent = 3 √5

cos θ = adjacent / hypotenuse
cos θ = 3√5 / 7
6 0
3 years ago
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