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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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Pentagon TEXAS has vertices at T(1, 8), E(3, 8), X(6, 2), A(3, 2), and S(1, 4). What is the area of Pentagon TEXAS?
Tamiku [17]

The area of the pentagon is 19 square units

The coordinates of the pentagon are given as:

T = (1, 8)

E =(3, 8)

X =(6, 2)

A=(3, 2)

S = (1, 4)

The area of the pentagon is then calculated using:

Area = \frac 12|(x_1y_2+x_2y_3+x_3y_4+x_4y_5+x_5y_1) -(y_1x_2+y_2x_3+y_3x_4+y_4x_5+y_5x_1)|

So, we have:

Area = \frac 12|(1 \times 8 +3 \times 2+6\times2+3 \times 4 + 1 \times 8) -(8\times3+8\times6+2\times3+2\times1+4\times1)|

Simplify the expressions in both brackets

Area = \frac 12|46 -84|

Area = \frac 12|-38|

Remove absolute bracket

Area = \frac 12 \times 38

Area = 19

Hence, the area of the pentagon is 19 square units

Read more about areas at:

brainly.com/question/1423568

7 0
2 years ago
A car can travel 580 miles on a full tank of gas. With four new eco-tires it can travel 630 miles. Find the percentage increase
9966 [12]

Answer:

Step-by-step explanation:

39.8, $51.00

8 0
3 years ago
Malory isn’t putting money in two savings accounts.Account A started with $150 and Account B started with $300.Malory deposits $
EastWind [94]

Given:

  • There are two savings accounts - account A has $150 and account B has $300 to begin with.
  • Malorie deposits $16 in account A and $12 in account B every month.

To Find:

The number of months where the balance of both is equal and the balance itself.

Solution:

In 37.5 months, the account balances in both accounts will be equal.

This balance will be equal to $750 in both account A and B.

Calculation:

Let x be the number of months where both the accounts have equal balance.

So, at the end of x months, 16x is the amount of money that will be added to account A (since $16 is added every month).

And the total amount at the end of x months will therefore be $(150+16x)

Similarly, at the end of x months, 12x is the amount of money that will be added to account B (since $12 will be added every month).

And the total amount at the end of x months will therefore be $(300+12x)

By our assumption, x is the number of months it will take for both the accont balances will be equal. Therefore, we have the equation

150+16x=300+12x\\4x=150\\x=37.5

Therefore, in 37.5 months, the account balances in both accounts will be equal.

This balance will be equal to 150+16(37.5)=750 i.e. $750 will be the balance in both account A and B.

8 0
3 years ago
There are 25 students in Mrs. Venetozzi’s class at the beginning of the school year, and the average number of siblings for each
andrezito [222]
Adding the student with eight siblings will increase the class average amount of siblings because this student has more siblings than the average.

Therefore, the average number of siblings that each student has is larger than the original average.
7 0
3 years ago
8. FREEBIE
swat32

Answer:

C. milliliter

Step-by-step explanation:

What is the appropriate metric unit for the capacity of a bottle of ink?

See Answer

milliliters.

4 0
3 years ago
Read 2 more answers
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