MATHEMATICS MIDDLE SCHOOL

How many 1/4 cup go n to 3 1/4

Answers

Answer 1
Answer: 3 1/4 divided by 1/4
13/4*4/1
52/4
13
13 times 1/4 can go into 3 1/4
Answer 2
Answer: lets represent 1/4 as a D.

1D=1/4
2D=2/4
3D=3/4
4D=4/4  (1)
5D=1 1/4
6D=1 2/4
7D=1 3/4
8D=1 4/4   (2)
9D=2 1/4
10D=2 2/4
11D=2 3/4
12D=2 4/4   (3)
13D=3 1/4


the answer is 13. 

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The length of a rectangle is 4cm longer than the width. The perimeter is 80 cm. Find the length and width.

Answers

Length = l
Width = w
2l + 2w = 80cm

l+w = 40cm


l = w+4

w+4 + w = 40cm
2w + 4 = 40cm
2w = 36cm
w = 18cm
l = 22cm

Simplify the ratio: 28:35

Answers

both can be divided by 7

28/7= 4 

35/7= 5

4:5
28:35
Those are divisible by 7 so divide both sides by seven
the answer is 4:5

Solve:
-3 (x + 5) = -9
x=?

Answers

Answer:

x=-2

Step-by-step explanation:

-3 (x + 5) = -9

Divide each side by -3

-3 (x + 5)/-3 = -9/-3

x+5 = 3

Subtract 5 from each side to isolate x

x+5-5 = 3-5

x=-2

Part 2 from my last question

Answers

Answer:

y=4x+12

Step-by-step explanation:

Same reason from last time he started with 12 and gains 4 each week
Y=4x+2 is the answer

Estimate the value of
21*3.86/0.207
anyone knw the estimate for this?

Answers

(21*3.86)/(0.207)=(81,06)/(0,207)\approx391.6

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
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