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vovikov84 [41]
3 years ago
6

A car travels 0.75 miles per minute. Explain how you could use proportional reasoning to find how far the car travels in one hou

r
Mathematics
1 answer:
Zina [86]3 years ago
4 0
Notice the proportions below.  Keep in mind that 1 hour is 60 minutes.

\bf \begin{array}{ccll}
miles&minutes\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
0.75&1\\
x&60
\end{array}\implies \cfrac{0.75}{x}=\cfrac{1}{60}\implies \cfrac{0.75\cdot 60}{1}=x\implies 45=x
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The ratio of men to women in a movie theater is 3:5. As two more men and one more woman walk in, the ratio of men to women becom
34kurt

Answer:

C. 20

Step-by-step explanation:

Let's say M is the original number of men and W is the original number of women.

M / W = 3 / 5

(M+2) / (W+1) = 2 / 3

Let's cross multiply both equations:

5M = 3W

3(M+2) = 2(W+1)

Let's simplify the second equation:

3M + 6 = 2W + 2

3M + 4 = 2W

From the first equation:

M = 3/5 W

Substitute:

3 (3/5 W) + 4 = 2W

9/5 W + 4 = 2W

4 = 1/5 W

W = 20

There were originally 20 women.

Let's check our answer.  That would mean that M = 3/5 W = 12.

After 2 men walk in and 1 woman, W = 21 and M = 14, so 14/21 = 2/3.  Looks like the answer is correct!

Answer C.

7 0
3 years ago
Brandi needs to wrap a birthday present for her friend's party. Each side length is 16.7 in. What is the minimum amount of paper
tester [92]
A box has 6 sides so you multiply 16.7 and 6 and you’ll get 100.2
ANSWER IS 100.2in
3 0
3 years ago
10 / 5 + 10 - 9 x 11<br>​
Ugo [173]

Order of Operations:

1. Parentheses

2. Exponents

3. Multiplication

4. Division

5. Addition

6. Subtraction

Step-By-Step Explanation:

1. Take 9 • 11 = 99

2. Take 10 / 2 = 5

3. Take 2 + 10 - 99 = -87

So -87 would be your final answer. Hope that helped!

7 0
3 years ago
A cinema has three screens last Saturday there were 500 visitors 40% went to screen 1 ,25% went to screen 2 the rest went to scr
ratelena [41]

Answer:

200 visitors went to screen 1.

125 visitors went to screen 2.

175 visitors went to screen 3.

Step-by-step explanation:

We will find number of visitors who went to screen 1 by finding 40% of 500 as we are told that 40% of 500 visitors went to screen 1.

500*\frac{40}{100} =5*40=200

Therefore, 200 visitors went to screen 1.

Now we will find number of visitors who went to screen 2. We are told that 25% of 500 visitors went to screen 2.

500*\frac{25}{100} =5*25=125

Therefore, 125 visitors went to screen 2.

Now we will find the number of visitors who went to screen 3 by subtracting combined number of visitors who went to screen 1 and screen 2 from total number of visitors.

500-(200+125)

500-325=175

Therefore, 175 visitors went to screen 3.


7 0
3 years ago
In a group of college students, the ratio of men to women is 3:1 (i.e., 3 to 1). In a recent survey, 40% of the men in this grou
katovenus [111]

Answer:

0.3875

Step-by-step explanation:

Given that in a group of college students, the ratio of men to women is 3:1 (i.e., 3 to 1). In a recent survey, 40% of the men in this group selected hiking as their favorite outdoor activity whereas 35% of the women in the group selected hiking as their favorite outdoor activity

From the above information we find that

P(Men) = 0.75 and P(women) = 0.25 (since men:women = 3:1)

Out of men prob for not selecting hiking as their favorite outdoor activity

=1-0.6 = 0.4

Out of women prob for not selecting hiking as their favorite outdoor activity

=1-0.35 = 0.65

Prob for a randomly selected person that hiking is not his/her favorite outdoor activity = Prob (man and not selected activitiy) + P(women and not selected activity) (since men and women are mutually exclusive and exhaustive)

=0.75(0.4)+0.25(0.35)\\= 0.30+0.0875\\\\=0.3875

6 0
3 years ago
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