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enot [183]
3 years ago
13

Solve for x: 4 - 5x < 22 - 2x

Mathematics
2 answers:
Temka [501]3 years ago
8 0

Answer:

<h3>                x  > - 6</h3><h3>              x ∈ (-6, ∞)</h3>

Step-by-step explanation:

4 - 5x  <  22 - 2x

  +2x        +2x

4 - 3x  <  22

  -4          -4

  - 3x  <  18

  ÷(-3)     ÷(-3)

     x  > - 6

    x ∈ (-6, ∞)

elixir [45]3 years ago
3 0

Answer:

-6 < x

Step-by-step explanation:

4 - 5x < 22 - 2x rearrange the expression so like terms will be in the same sides of inequation

4 - 22 < -2x + 5x

-18 < 3x

-6 < x

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in a test consisting of 90 questions, Ama answered 75% of the first 40 questions correctly. If she had to get a score of 80% in
Shalnov [3]

Answer:

total question =90

she obtained 75% of first 40 questions

  1. No. of question she got correct in first 40 = 75% * 40 = 30

2. in order to get 80% out of 90,

the no. of questions got correct by Ama = 80% * 90 = 72

3. As she already got 30 c0rrect in first 40 questions, the number of question she needs correct for remaining 50 = (72-30) = 42

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Ella is a landscape photographer. One weekend at her gallery she sells a total of 52 prints for a total of $2,975. A small paint
rosijanka [135]
<h2>Answer:37 paintings of $50 and 15 paintings of $75</h2>

Step-by-step explanation:

Let x be the number of paintings Ella sells for $50.

Let y be the number of paintings Ella sells for $75.

Profit made through $50 paintings is 50x

Profit made through $75 paintings is 75y

So,total profit is given by 50x+75y

It is given that total profit is $2975

So,50x+75y=2975      ..(i)

Given that the total number of prints is 52

So,x+y=52      ..(ii)

using (i) and (ii),

50x+75(52-x)=2975\\50x+3900-75x=2975\\25x=925\\x=37

y=52-x=52-37=15

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2 lines intersect and create VERTICAL angles. One of the angles measures (3n-28) degrees and the other angle measures 83 degrees
kykrilka [37]

Answer:

n=37

Step-by-step explanation:

Two lines intersect and create vertical angles.

The vertical angles are (3n-28)^\circ$ and 83^\circ.

We know that vertical angles (also called vertically opposite angles) are equal. Therefore:

(3n-28)^\circ$ = 83^\circ.\\3n=28+83\\3n=111\\$Divide both sides by 3\\n=37

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