There is 3/4 of a box of cereal remaining You eat 2/5 of the remaining cereal What fraction of the box do you eat

Answers

Answer 1

Answer:

3/4 - 2/5 = 7/20

LCD = 20

15/20 - 8/20 = 7/20

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Carl's new car gets 27 miles per gallon. What is the equation that represents y, the total miles driven on x gallons of gas?x = 27y
y = 27 + x
x = 27 + y
y = 27x

Answers

Answer:

The total miles driven equation is $y=27x$

Step-by-step explanation:

Given:

Number of gallons of gas is x.

Total miles driven is y.

Carl's new car gets 27 miles per gallon.

Hence to calculate total miles driven we need to multiply 27 with number of gallons of gas.

Hence the equation becomes.

$y=27x$

Mitch lost 10/3
pounds in
5/7 of a week. Which complex fraction when simplified will compute the unit rate of pounds per week?
A)
10/3
5/7
B)
10/3
7/5
C)
3/10
5/7
D)
5/7
10/3

Answers

The answer is A)10/3 over 5/7.

Answer:

Step-by-step explanation:

The answer is A)10/3 over 5/7.

Rory was at the park for 55 minutes. He left the park at 4:45p.m. What time did Rory arrive at the park?

Answers

Solutions
.
we know that -

Rory was at the park for 55 minutes. He left the park at 4:45p.m. To solve the problem we have to subtract 55 mins from 4:45pm.

4:45pm - 55 mins = 3:50

3:50 PM was the time Rory arrived at the park.

At a restaurant, 5/8 of tye customers who ordered dessert chose apple pie, and 1/3 chose cherry pie. The rest of the customers who ordered dessert chose ice cream. What fraction of the customers who ordered dessert chose ice cream?A. 1/24
B. 2/8
C. 5/11
D. 4/5

Answers

5/8 = 15/24

1/3 = 8/24

15 + 8 =23/24 customers chose pie as a dessert, leaving 1/24 who ordered ice cream. The answer is A.

Hope this helps!

Fabio and Gwen are saving money to buy a new gaming station. They need at least $510 to purchase the new gaming station. Gwen weeds yards and Fabio walks dogs to raise money. Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog. The number of dog walks that Fabio has scheduled is no more than twice the number of yards Gwen has scheduled to weed. Fabio will walk at least 25 dogs. Write a set of constraints to model the problem, with x representing the number of lawns weeded and y representing the number of dogs walked.

Answers

Answer:

$12x + 9y \geq = 510\n y\leq 2x\n y \geq 25$

Step-by-step explanation:

If x represents the number of lawns and 'y' represents the number of dogs that Fabio walked then:

The amount of money raised by Fabio plus the amount of money raised by Gwen must be greater than or equal to $ 510.

$12x + 9y \geq = 510$

The number of dogs that Fabio will walk is less than or equal to twice the number of yards of lawn cleared by Gwen.

$y\leq 2x$

Fabio will walk at least 25 dogs

$y \geq 25$

Finally, the restrictions are:

$12x + 9y \geq = 510\n y\leq 2x\n y \geq 25$

The Alden Middle School girls' soccer team won 80% of its games this season.If the team won 12 games,how many games did it play? Solve the problem using at least two different methods.

Answers

0.8g=12

g=12/0.8

Where 0.8 is 80% in fraction form (80/100), g is the number of games played and 12 is the games won.

0.8g=12
----- ---
0.8 0.8
g=15

g=12/0.8
g=15

They played a total of 15 games.

Check:
0.8(15)
=12

Final answer:

If the Alden Middle School girls' soccer team won 80% of games, i.e., 12 games, they played 15 games in total. This was determined using proportional relationship and direct calculations.

Explanation:

The subject of the student's question falls under Mathematics. Essentially, the student is asked to find the total number of soccer games Alden Middle School's girls team played given that they won 80% of these games, translating to 12 wins.

Method 1: Proportional Relationship If 12 games represent 80% wins, we can establish a proportional relationship: 12 (wins) / 80 (%) = x (total games) / 100 (%). Cross multiply to solve for x: 12*100=80*x and thus x = 15 games.

Method 2: Direct Calculation Knowing that 80% of games were won, divide the number of wins by this percentage to get the total games: 12 / 0.8 = 15 games. So the team played 15 games in total.

Learn more about Percentage Calculations. here:

brainly.com/question/32197511

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Please help! 50 points and i'll give brainliest!