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djverab [1.8K]
4 years ago
6

Write an appropriate direct variation equation if y = 18 when x = 2

Mathematics
1 answer:
Sergeu [11.5K]4 years ago
8 0

Answer:

y=9x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form k=\frac{y}{x} or y=kx

In this problem we have

y=18 when x=2

Find the value of the constant of proportionality k

k=\frac{y}{x} ----> k=\frac{18}{2}=9

therefore

The equation is equal to

y=9x

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A player at a basketball camp set a goal to make 55% if his shots. If he has 120 attempts, how many shots would he need to make
Pavel [41]

Answer: 66

Step-by-step explanation:

From the question, we are informed that a player at a basketball camp set a goal to make 55% if his shots and that he has 120 attempts.

The number of shots that he would he need to make in order to reach his goal will be 55% of 120. This will be:

= 55% × 120

= 55/100 × 120

= 0.55 × 120

= 66

He would need to make 66 shots

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3 years ago
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5 0
3 years ago
Read 2 more answers
4x + 5y = 10
Vika [28.1K]

Answer:

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

Step-by-step explanation:

Given equations are:

4x + 5y = 10

Ax + By = 16

The general form of linear equation in two variables is given by:

ax+by = c

Here a, b and c are constants and x,y are variables.

In the given equations, after comparing with the general form

a_1 = 4\\b_1 = 5 \\c_1 = 10\\a_2 = A\\b_2 =B\\c_2 = 16

"In order for a system of equations to have infinity many solutions,

\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} "

Putting the values we get

\frac{4}{A} = \frac{5}{B} = \frac{10}{16}\\\frac{4}{A} = \frac{5}{B} = \frac{5}{8}\\Now\\\frac{4}{A} = \frac{5}{8}\\\frac{A}{4} = \frac{8}{5}\\A = \frac{8}{5} * 4\\A = \frac{32}{5}\\And\\\frac{5}{B} = \frac{5}{8}\\\frac{B}{5} = \frac{8}{5}\\B = 8

Hence,

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

5 0
3 years ago
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