MATHEMATICS MIDDLE SCHOOL

Jimmy runs 126 miles in 3 days in his school running club. What is the constant of proportionality that relates the number of miles, y, to the number of days, x?

Answers

Answer 1

Answer:

Answer:

126/3=42

y/x=42

Step-by-step explanation:

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Carlotta is making blue and orange necklaces in several lengths. For each necklace, her ratio of blue beads to orange beads is 3 to 2. How many orange beads will Carlotta need for a necklace of 60 beads?

Answers

Answer:

Carlotta needs 24 orange beads for her necklace.

Step-by-step explanation:

For each necklace, the ratio of blue beads to orange beads is 3 to 2. or 3:2

Total beads given to make a necklace is = 60

Let the number of orange beads be = x

The ratio is 2 orange beads out of 5 total beads

So, we can represent the ratio as:

$(2)/(5)=(x)/(60)$

$5x=120$

x=24

Hence, Carlotta needs 24 orange beads for her necklace.

Blue beads needed = $60-24=36$

We can also check the ratio for blue beads to orange beads:

$(36)/(24)$

Divide by 4, we get

$(9)/(6)$

Divide by 3, we get

$(3)/(2)$ ...... (the given ratio)

Therefore, Carlotta needs 24 orange beads for her necklace.

5x=60
x=12
2x=24

......

Madison loves her stuffed dolphin toy. The toy is 27 inches long. If her brother came and sliced the dolphin in half what would the size of the dolphin be?

Answers

27 divided by two(half) =13.5 inches :)

The size of the dolphin would be 13.5 inches long because half of 27 is 13.5.

27/2 = 13.5

Theo buys 5 packages of paper there are 500 sheets of paper in each package how many sheets of paper did theo buy????????

Answers

2,500 pieces of paper. Just multiply 5x500.

If there are 500 sheets of paper and there are 5 packages then you multiply 500 and 5 and get 2500

Mark drew 2 triangles and 8 arrows as part of a set of 13 shapes. The only other type of shape in the set is a circle. What fraction of the set is made up of circles?

Answers

Answer: 3/13

Step-by-step explanation:

Write pqqqqrr in exponential form.
p·q^4·r^2

Answers

Answer:

$pqqqqrr = p.q^4.r^2$

Step-by-step explanation:

Write any number or value in exponential form simply means a numeric form involving exponents.

The exponents for each of the number in a value represent the number of times that number or value appears as a factor.

For example, here in this case, we have one p, 4 q's and 2 r's so we can write it in exponential form as:

$pqqqqrr = p.q^4.r^2$

5 times what equals 275?

Answers

275 divided by 5 is 55. Therefore, 55x5=275

55*5=275
Also you can try and divide 275 by 5 and get 55
The * sign means to multiply

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