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Mashutka [201]
2 years ago
11

Ethan needs to save at least $500 to purchase a new dirt bike. So far, he has saved $175. If he hopes to use two-fifths of his n

ext paycheck to cover the remaining amount, how much money must he make in his paycheck?
Define a variable, set up an inequality, then solve.
Mathematics
2 answers:
vazorg [7]2 years ago
7 0
Inequality = 2/5x + 175<500
. -

Answer= 1625/2 or 812 1/2
masya89 [10]2 years ago
7 0

Answer: Inequality: 175+2x/5 ≥ 500. He must make $812.5 or more in his paycheck

Step-by-step explanation:

175+2x/5 ≥ 500

2x/5 ≥ 500-175

2x/5 ≥ 325

2x ≥ 325*5

2x ≥ 1,625

x ≥ 1,625/2

x ≥ 812.5

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Through (-4,6) and parallel to y=-3x+4
liraira [26]
Y=mx+b
parallel lines will have the same slope.

using the points (-4,6) and the slope for the parallel line -3 we can find b (the y intercept) for the line.

6 = (-3)(-4) + b
6 = 12 + b
-12 + 6 = -12 + 12 +b
-6 = b
so the line that runs through points (-4,6) and parallel to y= -3x+4 is:
y = -3x -6
7 0
3 years ago
joe has a handful of dimes and quarters that values to $5.30. He has one fewer than twice as many dimes than quarters. How many
OlgaM077 [116]

Answer:

12 quarters 23 dimes

Step-by-step explanation:

x(0.25)+(2x-1)(0.10)=5.30

0.25x+0.2x-0.10=5.30

0.45x=5.40

x=12

12 quarters

12(2)=24-1=23 dimes

5 0
2 years ago
Find the area of the shaded region. Round to the nearest tenth.
UkoKoshka [18]

Answer: 9.3

Step-by-step explanation:

Find the number in the tenth place 2 and look one place to the right for the rounding digit 8. Round up if this number is greater than or equal to 5 and round down if it is less than 5.

5 0
3 years ago
A phone company offers two monthly plans. Plan A is $26 plus and additional $.07 for each minute of calls. Plan B is $17 plus $.
finlep [7]
Ok, so the starting numbers are the fixed amounts. If we think of a graph, this is the y-intercept/ starting point and the rate would continue from there. This conclusion is very important to writing a linear equation in slope-intercept form.

If you don’t remember, slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept.

First, let’s make our equations.....

Plan A: y = 0.07x + 26
Plan B: y = 0.12x + 17

Now since it is not stated, I’m not sure if you need to find where the cost of both plans is equal, but that would be found by setting up a system of equations and using substitution.

y = 0.07x + 26
y = 0.12x + 17

Substitute one equation into the other...

0.07x + 26 = 0.12x + 17
- 0.05x = -9
0.05x = 9
x = 180

And there you have it! After 180 minutes [3 hours] of talking, both phone plans will have the same cost.

4 0
3 years ago
PLEASE HELP I WILL DO ANYTHING
Andrej [43]

The proportionality constant of the given graph is k = 16.

<h3>How to find the proportionality constant of a graph?</h3>

The proportionality constant of a graph is the ratio of the y-coordinates to the x-coordinates.

Thus, it is written as k = y1/x1 = x2/y2 = ... = yn/xn

<h3>Calculation:</h3>

The given graph has the coordinates as

x = 0; y = 0 i.e., (0, 0)

x = 0.5; y = 8 i.e., (0.5, 8)

x = 1; y = 16 i.e., (1, 16)

x = 1.5; y = 24 i.e., (1.5, 24)

and so on.

Then, the ratio of y - coordinate to the x - coordinate is

k = 8/0.5 = 16

or

k = 16/1 = 16

or

k = 24/1.5 = 16

and so on.

So, the proportionality constant for the given graph is k = 16.

Learn more about the proportionality constant here:

brainly.com/question/1835116

#SPJ1

5 0
1 year ago
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