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quester [9]
3 years ago
6

A university law school accepts 2 out of every 5 applicants. If the school accepted 180 ​students, find how many applications th

ey received.
Mathematics
1 answer:
Rina8888 [55]3 years ago
7 0

2/5 = 0.4

let x = amount of applications received

180 = 0.4x.

Divide each side by 0.4

450 = x

The school received 450 applications

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Y is inversely proportional to x.
Inessa [10]

Answer:

1. xy = 63

2. y = 3

Step-by-step explanation:

Given

Variation: inverse Proportion

y = 7, x = 9

Required

- Write an equation connecting y and x

- Find y when x = 21

Given that thee variation is inversely proportional;

This implies that

y\ \alpha\ \frac{1}{x}

Convert variation to equation

y\ = \frac{k}{x} ----------- Equation 1

Where k is the constant of variation

Substitute 7 for y and 9 for x in equation 1

7 = \frac{k}{9}

Multiply both sides by 9

9 * 7 = 9 * \frac{k}{9}

63 = k

Substitute 63 for k in equation 1

y = \frac{63}{x}

Multiply both sides by x

x * y = \frac{63}{x} * x

xy = 63

Hence, the equation connecting x and y is xy = 63

Solving for when x = 21

Substitute 21 for x in the above equation

21 * y = 63

Divide both sides by 21

\frac{21 * y}{21} = \frac{63}{21}

y = 3

4 0
3 years ago
Solve the absolute value inequality.<br><br> |2x - 3| &gt; 7
s344n2d4d5 [400]

Hi!

<u><em>NOTE: When solving absolute value inequalities, > or ≥ means OR, and < and ≤ means AND.</em></u>

<u><em /></u>

|2x - 3| > 7

Since the absolute value is isolated, we can now solve.

First, remove absolute value signs, then solve for x.

2x - 3 > 7

2x > 10

x > 5

Now, we have to solve again, but this time we flip the inequality sign and switch positive 7 to a negative 7, like so:

2x - 3 < -7

2x < -4

x < -2

Now, as stated above, since it's a greater than symbol it means OR.

<u><em>x > 5 OR x < -2</em></u>

<u><em></em></u>

<u><em>For more information on solving absolute value inequalities:</em></u>

brainly.com/question/14473339

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2 years ago
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coldgirl [10]

Step-by-step explanation:

option number B.......

3 0
3 years ago
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Uber charges 1.75 for pickup plus 0.50 per mile. Omar paid 4.25 for a ride. How many miles did he travel?
Sergeu [11.5K]

Answer:

Omar Traveled 5 miles

Step-by-step explanation:

First set up a two step equation, .50x (x is our variable for miles driven) then +1.75= 4.25. Then Subtract 1.75 from itself and from 4.25. You get 2.5, bring everything down. You are now left with .50x=2.5 divide each side by .50 . 2.5 divided by .50 equals 5 and .50 divided by itself is zero, bring down the x and the 2.5. It should now look like this x = 2.5 That is your answer.

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3 years ago
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1.3 puzzle time why did the fraction jump into boiling water
Slav-nsk [51]

Answer:

The fraction jumped into boiling water because it wanted to be reduced.

Step-by-step explanation:

This is a maths riddle about fractions. We often see fractions that we might feel could be reduced. So, if these kinds of fractions jumps into a boiling water, they get reduced. The riddle is rather funny though.

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