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3 years ago

15 paperclips or equal size weigh 2 grams altogether. Is the number of paperclips proportional to their weight?

1 answer:

4 0

Proportionality indicates how quantity vary in relation with other quantities. There are two types of proportionality, that is direct proportionality where an increase or a decrease in a quantity causes a corresponding increase or decrease in the other variable and inverse proportionality where decrease in a variable causes an increase in the other variable and vicevarsa. In this case the 15 paperclips have a total weight of 2 grams therefore each clip contributes a weight of 0.0133 grams, thus increasing the paperclips also increases the total weight. Thus, the number of paper clips is direct proportional to the total weight

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Sue buys 5 pieces of fabric.Each piece is 1 7/10 yards long.What is the total length of the fabric she buys?One yard of the fabr

irina [24]

Answer:

The total length of fabric sue buys is 8.5 yards and total cost of the fabric is $42.5 .

Step-by-step explanation:

As given

Sue buys 5 pieces of fabric.

$Each\ piece\ is\ 1 \frac{7}{10}\ yards\ long.$

i.e

$Each\ piece\ is\ \frac{17}{10}\ yards\ long.$

$Total\ length\ of\ fabric\ sue\ buys = \frac{5\times 17}{10}\ yards$

$Total\ length\ of\ fabric\ sue\ buys = \frac{85}{10}\ yards$

In the decimal form

Total length of fabric sue buys = 8.5 yards

As given

One yard of the fabric costs $5

$Total\ cost\ of\ fabric\ sue\ buys = 8.5\times 5$

= $ 42.5

Therefore the total length of fabric sue buys is 8.5 yards and total cost of the fabric is $42.5 .

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3 years ago

Find the circumference of a circle with the diameter of 10 inches. Leave your answers in form of pi

MrRa [10]

Answer:

Circumference = 10π

Step-by-step explanation:

First identify the circumference formula as such:

2πr (where r ⇒ radius, π ⇒ pi)

Knowing 2 times the radius (2r) in the formula can be rewritten as the diameter, the formula itself can be rewritten as:

πd (where d ⇒ diameter, π ⇒ pi)

If we know the diameter = 10 inches, substitute in the circumference formula πd to get:

π * 10 inches = 10 * π inches = 10π inches

4 0

3 years ago

There is one third of a pie shared equally between 5 children. How much of the pie does each child receive? one ninth pie one fi

adoni [48]

Answer:

Each of the 5 children receive one fifteenth pie

Step-by-step explanation:

Given:

One third of a pie shared equally between 5 children.

To find:

Amount of the pie with each of the 5 children.

Solution:

Number of children = 5

Also, one third of a pie shared equally between 5 children.

So,

Amount of the pie with each of the 5 children $=\frac{\frac{1}{3} }{5}=$ $\frac{1}{15}$

Hence, each of the 5 children receive one fifteenth pie.

4 0

3 years ago

Answer if you know<br> DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWERS<br><br> Thank you :)

ludmilkaskok [199]

See below for pics of the answers

6 0

2 years ago

A postcard has an area of 24 square inches. Two enlargements of the postcard have areas of 54 square inches and 96 square inches

Alex777 [14]

Answer:

original is 4 & 6.

for 54 sq inch= 6 & 9 and for 96 sq inch=8 & 12

Step-by-step explanation:

Given: The length is 1.5 times the width.

so the length is, l = 1.5w ----(a)

lw = 24 =1.5w(w)

lw = 54= 1.5w(w)

lw = 96 =1.5w(w)

Further simplifying it,

1.5 $w^{2}$ =24

1.5 $w^{2}$ =54

1.5 $w^{2}$ =96

so,

$w^{2}$ = $\frac{24}{1.5}$ =16

$w^{2}$ = $\frac{54}{1.5} =$ 36

$w^{2}$ = $\frac{96}{1.5} =$ 64

taking the square root, we get:

w = 4

w = 6

w = 8

By putting the above values in eq (a), we can find their corresponding lengths:

l = 1.5(4) = 6

l = 1.5(6) = 9

l = 1.5(8) = 12

So a few lengths could be:

(l, w)

(6,4)

(9,6)

(12,8)

5 0

3 years ago

Read 2 more answers