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aniked [119]
3 years ago
15

2

Mathematics
2 answers:
pav-90 [236]3 years ago
7 0

Answer:

18.472 miles

Step-by-step explanation:

166.25 \: miles = 9 \: gallons \\ x \: miles = 1 \: gallons

Cross Multiply

9x = 166.25

Divide both sides of the equation by 9

\frac{9x}{9}  =  \frac{166.25}{9}

x = 18.472

melamori03 [73]3 years ago
4 0

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{18.472 \: miles}}}}}

Step-by-step explanation:

Distance travelled = 166.25 miles

gallons of gas used = 9 gallons

To find : 1 gallons of gas = ? miles

In unitary method, we have to obtain unit quantity. So, to find the distance travelled using 1 gallons of gas, 166.25 is divided by 9

\sf{ \frac{166.25}{9} }

\dashrightarrow{ \sf{18.472 \: miles}}

Hope I helped!

Best regards!

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A newspaper conducted a survey to find out how many high school students play video games.The two ways table below displays the
zepelin [54]

Answer:

Step-by-step explanation:

Given that

We are given the following:

1. Boys who do play video games = 1593

2. Boys who do not play video games = 858

3. Total boys = 2451

4. Girls who do play video games = 1361

5. Boys who do not play video games = 1635

6. Total Girls = 2996

7. Total number of candidates = Total boys + Total girls

=(2451 + 2996) = 5447

8. Total number of students, who play video games = 2954

9. Total number of students, who do not play video games = 2493

Percentage of boys who play video games:

\dfrac{1593}{2451} \times 100 = 64.99\%

So, option A is not correct.

Percentage of girls who play video games:

\dfrac{1361}{2996} \times 100 = 45.43\%

so option B is correct. The percentage is near about 45%,

Percentage of Total number of students, who do not play video games:

\dfrac{2493}{5447} \times 100 = 45.77\%

So, option C is not correct.

7 0
3 years ago
A train goes twice as fast downhill as it can go uphill, and 2/3 feet as fast uphill as it can go on level ground. If it goes 12
Yuri [45]

Answer:

0.5hrs

Step-by-step explanation:

Let the speed downhill be x,

Speed uphill is 0.5x. We are told than speed uphill is \frac{2}{3} the speed on flat ground. Therefore the speed on level ground will be \frac{0.5x}{2/3}=0.75x.

From this info, we can obtain the actual speed,v_g on level ground as:

x=120m/h\\0.75x=v_g\\\\\therefore v_g=\frac{0.75x \times 120m/h}{x}\\v_g=90m/h

speed, distance and time have the relation s=d/t so to obtain time to cover 45miles:

t=d/s\\=45/90\\=0.5h

Hence it takes 0.5hrs to cover 45miles on flat ground.

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