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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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Please help me with this

Ne4ueva [31]

Answer:

Option c

Step-by-step explanation:

A system of equations are given to us. And we need to solve them . The given system is

$\begin{cases} y = 2x - 3\dots 1 \\ y = x^2 - 3\dots 2 \end{cases}$

We numbered the equations here . Now put the value of equation 1 in equation 2 that is substituting y = 2x - 3 in eq. 2 .

$\implies y = x^2 - 3 \\\\\implies 2x - 3 = x^2 - 3 \\\\\implies x^2 - 2x = 0 \\\\\implies x(x-2) = 0 \\\\\implies\red{ x = 0 , 2 }$

We got two values of x as 0 & 2 . Alternatively substituting these values we have ,

$\implies y = 2 x - 3 \\\\\implies y = 2(0)-3 \qquad or \qquad y = 2(2)-3 \\\\\implies y = 0-3 \qquad or \qquad 4 - 3 \\\\\implies \red{ y = -3 , 1 }$

Thefore the required answer is ,

$\red{Option\:c} \begin{cases} (0,-3) \\ (2,1) \end{cases}$

4 0

2 years ago

Read 2 more answers

Solve 250 divide 5 divide 10 making sure to divide in proper order

Pie

5 would be the answer to it

3 0

2 years ago

An independent research firm conducted a study of 100 randomly selected children who were participating in a program advertised

kap26 [50]

Answer:

b) use a two-sided test instead of a one sided test.

Step-by-step explanation:

If we are using a significance level of 0.05, then the two-tailed test assigns half alpha to test for statistical significance in one direction and half alpha to test statistical significance in the other direction. This implies that .025 is present in each tail of the test statistical distribution. When using the two-tailed test, regardless of the direction of the relationship you assume, we test the possibility of the relationship in both directions.

7 0

2 years ago

What is the circumference of the circle? Use a = 3.14. Round your answer to the

larisa [96]

Answer: 53.4 cm

Step-by-step explanation:

The formula for circumference is C=2πr or C=πd. These equations are the same. Since the problem gives us the diameter, we'll go ahead and use C=πd.

C=(3.14)(17)

C=53.38=53.4 cm

3 0

2 years ago

In a box of marbles, the ratio of red marbles to total marbles is 2:5. the ratio of green marbles to total marbles is 3:10. if t

STALIN [3.7K]

Ratio:

Red : Total
2 : 5
(x2) (x2)
4 : 10

Green : Total
3 : 10

Total of red and green marbles = 4 + 3 = 7

Blue marbles = 10 - 7 = 3

10 parts = 40 marbles
1 part = 40 ÷ 10 = 4
3 parts = 4 x 3 = 12

Answer: There are 12 blue marbles.

7 0

2 years ago