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drek231 [11]
3 years ago
13

50 points and Brainliest!!! Please help its easy, I just have no time...

Mathematics
2 answers:
wolverine [178]3 years ago
7 0

Question 1: C: \frac{25}{11}

We are given 25 cars, and 11 SUVs. Finding the ratio between cars and SUVs (order matters) is 25:11, or \frac{25}{11}.

Question 2: C: \frac{1}{2}

We are given 25 cars, 14 vans, and 11 SUVs. To find the ratio of cars to total number of vehicles, we have to see how many vehicles there are. There are 50, so the ratio is 25:50, or 1:2, or \frac{1}{2}.

Question 3: C: \frac{25}{7}

Again, we are asked to find the ratio between vehicles and vans. This would 50:14, which is 25:7, or \frac{25}{7}.

Question 4: A: 36 miles

In 25 minutes, a car travels 20 miles. We want to find out how many miles we will travel after 45 minutes. We can set up a proportion:

\frac{20mi}{25min}=\frac{xmi}{45min}

45(\frac{20}{25})=x

\frac{900}{25}=x

x=36

Question 5: B: 300 miles

Same thing as the last problem. You always want to set up your proportion so that the variable is on top, it makes life a little easier.

\frac{200mi}{6gal}=\frac{xmi}{9gal}

9(\frac{200}{6})=x

\frac{1800}{6}=x

x=300

Question 6: A: 4

Pretty straightforward...

\frac{3}{x}=\frac{75}{100}

Now, we can do the proportion, or make life easier. \frac{75}{100} in simplest form is just \frac{3}{4}. So, now let's look at the proportion:

\frac{3}{x}=\frac{3}{4}

x can only equal 4. <em>Don't believe me? Solve the proportion then..</em>

3=x(\frac{3}{4})

3(\frac{4}{3})=x

x=\frac{12}{3}=4

Question 7: D: 6

Also straightforward:

\frac{4.5}{6}=\frac{x}{8}

8(\frac{4.5}{6})=x

x=\frac{36}{6}=6

Question 8: A: 75

\frac{12}{y}=\frac{8}{50}

\frac{12}{y}=\frac{4}{25}

12=y(\frac{4}{25})

12(\frac{25}{4})=y

y=\frac{300}{4}=75

Question 9: B: x=6.4

We can do a proportion.

\frac{8}{10}=\frac{x}{8}

\frac{4}{5}=\frac{x}{8}

8(\frac{4}{5})=x

x=\frac{32}{5}=6.4

Question 10: A: y=8.8

Again, a proportion:

\frac{11}{10}=\frac{y}{8}

8(\frac{11}{10})=y

y=\frac{88}{10}=8.8

This was very tedious, but I hope it helps! :^)

kap26 [50]3 years ago
3 0

Hello! Before the answers to your question. Be sure to not allow any links as it goes against the community guidelines. Thank you

1. 25/11

2. 1/2

3. 14/50

4. 36 miles

5. 300 miles

6. x=4

7. x=6

8. y=75

9. x=6

10. x=9

I do not feel comfortable with the last two questions. I tried on doing the work. If there are many more problems, my fault.

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