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4 years ago

Your company is hosting a benefit 5 kilometer race How long will the race be to the nearest tenth of a mile?

1 answer:

4 0

In this question the main part is to convert the kilometer to miles and then writing the answer to the nearest tenth of a mile. the information given in the question is that the race is for a distance of 5 kilometers.
Now we already know
1 km = 0.6214 mile
Then
5 km = ( 0.6214 * 5) miles
= 3.107 miles
= 3.11 miles
So the actual distance when converted to miles will be 3.11 miles. I hope this is the answer you were looking for. This is the simplest way for doing such problems and in future you can follow this method to find the answers without the need of any help.

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FIFTY POINTS - It took 4 hours for a biker to travel from one city to another going at a certain speed. On the return trip, the

Crazy boy [7]

Answer:

Either 200 km or 160 km.

Step-by-step explanation:

Distance = speed × time

Let x = the biker's normal speed

Then

(1) d = 4x

For the return trip,

Time = distance/speed

(2) 4.5 = 100/x + (d -100)/(x - 10)

4.5x = 100/x + (4x -100)/(x - 10) Substituted (1) into (2)

4.5x = 100 + x(4x -100)/(x - 10) Multiplied each side by x

4.5x(x - 10) = 100(x - 10) + x(4x -100) Multiplied each side by (x - 10)

4.5x² - 45x = 100x - 1000 + 4x² -100x Removed parentheses

4.5x² - 45x = -1000 + 4x² Cancelled terms

0.5x² - 45x = -1000 Subtracted 4x² from each side

0.5x² - 45x +1000 = 0 Added 1000 to each side

x² - 90x +2000 = 0 Multiplied each side by 2

(x - 50)(x - 40) = 0 Factored the quadratic

x - 50 = 0 x - 40 = 0 Applied zero product theorem

x = 50 x = 40

Substitute in (1)

d = 4 × 50 = 200 km; d = 4 × 40 = 160 km

The distance between the two cities is either 200 km or 160 km.

Check:

x = 50 x = 40

4.5 = 100/50 + (200 - 100)/(50 - 10) 4.5 = 100/40 + (160 - 100)/(40 - 10)

4.5 = 2 + 100/40 4.5 = 2.5 + 60 /30

4.5 = 2 + 2.5 4.5 = 2.5 + 2

4.5 = 4.5 4.5 = 4.5

8 0

3 years ago

Use the model to complete the number sentence 1/2

VladimirAG [237]

That is one half also 1/2 if this was not what u where looking for then just tell me

8 0

4 years ago

True or false: If I read information on the Internet and put it completely in my own words I can use that information in my pape

stepan [7]

If you use proper paraphrasing (switching words and when sentence subjects orders) it’s not plagiarism. I’d suggest doing that and also changing any advance words/subjects to something more on your grade level if your in middle/high school

5 0

3 years ago

The graph shows the type and number of coins that three students plan to donate during a coin drivefundraiser.Coin Drive Donatio

yarga [219]

Answer:

39 dimes

Explanation:

From the graph:

• Total number of nickels = 9+4+7=20

• Total number of dimes = 7+10+9 = 26

The ratio of total nickels to total dimes = 20:26

If the total number of nickels the students donate is increased to 30, we have:

$\frac{\text{Total Nickels}}{\text{Total Dime}}\colon\frac{20}{26}=\frac{30}{x}$

We then solve for x:

$\begin{gathered} 20x=30\times26 \\ x=\frac{30\times26}{20} \\ x=39 \end{gathered}$

The number of dimes they should donate to keep the ratio of total nickels to total dimes the same is 39.

8 0

2 years ago

Can you simplify 132:156 please asap

Vilka [71]

Answer:

11:13

Step-by-step explanation:

132:156

Split in half

66:78

Again

33:39

By 3

11:13

8 0

3 years ago