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3 years ago

Of 30 student, 1/3 play sports. Of those who play sports, 2/5 play soccer. How many students play soccer.

Mathematics

1 answer:

Katena32 [7]3 years ago

5 0

Answer:

Step-by-step explanation:

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A family has two cars. The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of

cestrela7 [59]

The amount of gas consumed by first and second car were 20 gallons and 15 gallons respectively.

Explanation

Suppose, $x$ gallons of gas were consumed by the first car.

As the total gas consumption in one week is 35 gallons, so the amount of gas consumed by second car will be: $(35-x)$ gallons.

The first car has a fuel efficiency of 35 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas.

So, the distance traveled by the first car in $x$ gallons of gas $=35x$ miles and the distance traveled by the second car in $(35-x)$ gallons of gas $=15(35-x)$ miles.

Given that, the two cars went a combined total of 925 miles. So, the equation will be.....

$35x+15(35-x)=925\\ \\ 35x+525-15x=925\\ \\ 20x=925-525=400\\ \\ x=\frac{400}{20}=20$

So, the amount of gas consumed by the first car is 20 gallons and the amount of gas consumed by the second car is: (35 - 20) = 15 gallons.

3 0

4 years ago

In order to solve for the variable in the equation 2 (x + 3) + 5 x = 3 (2 x minus 1), Jaleesa begins by applying the distributiv

LekaFEV [45]

Answer:

7x + 6 = 6x - 3

Step-by-step explanation:

2(x+3) + 5x = 3(2x-1)

Distribute

2x + 6 + 5x = 6x - 3

Combine like terms

7x + 6 = 6x - 3

hope this helps

4 0

2 years ago

The ratio of two numbers is 1:4, and the sum of these numbers is 40. Find the numbers

Irina-Kira [14]

X + 4x = 40

5x = 40

5x/5 = 40/5

x = 8

1x 8 = 8

4x 8 = 32

Check=

8 + 32 = 40

The numbers are 8 and 32

3 0

3 years ago

There are 10 girls and 8 boys in Mr Augellis class. If 5 more girls and 5 more boys join the class, will the ratio of girls to b

zimovet [89]

Yes they will stay the same

8 0

3 years ago

Use the diagram to find the measure of arc. AB and CD and the diameters of the circle F

dybincka [34]

Answer:

11). $m(\widehat{DE})$ = 90°

12). $m(\widehat{AEC})$ = 212°

Step-by-step explanation:

A circle F with AB and CD are the diameters has been given in the figure attached.

11). Since, $m(\widehat{AB})$ = 180°

and $m(\widehat{AB})=m(\widehat{AD})+m(\widehat{DE})+m(\widehat{BE})$

Therefore, $m(\widehat{AD})+m(\widehat{DE})+m(\widehat{BE})$ = 180°

32° + $m(\widehat{DE})$ + 58° = 180°

$m(\widehat{DE})$ = 180° - 90°

= 90°

12. Since, $m(\widehat{AD})=m(\widehat{BC})$ = 32°

$m(\widehat{AEC})$ = $m(\widehat{AB})+m(\widehat{BC})$

= 180° + 32°

= 212°

7 0

3 years ago