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lbvjy [14]
2 years ago
14

What number plus 2 less than 3 times the number equals 14

Mathematics
1 answer:
Afina-wow [57]2 years ago
7 0

Obviously this will be a negative number

-2 - 14 = 5x - 3x

 

-16 = 2x

x = %28-16%29%2F2

x = -8 is the number

:

:

Check solution in the original statement: x=-8

3(-8) - 2 = 5(-8) + 14

-24 - 2 = -40 + 14

-26 = -26


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An angle measured 10 degrees less than the measure of its complementary angle. Find the measure of both angles
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Answer:

The measure of the angles are 40 degrees and 50 degrees

Step-by-step explanation:

Let

x ----> the measure of one angle in degrees

y ----> the measure of the complementary angle in degrees

we know that

If two angles are complementary, then their sum is equal to 90 degrees

so

x+y=90 ----> equation A

we have that

x=y-10 ----> equation B

Substitute equation B in equation A and solve for y

(y-10)+y=90\\2y-10=90\\2y=100\\y=50

Find the value of x

x=50-10=40

therefore

The measure of the angles are 40 degrees and 50 degrees

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During WW2, mortars were fired from trenches dug 4 feet in the ground. The mortars had an average velocity of 150 ft/s. What is
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How do you solve 4x+10=3x+37
lisov135 [29]

Answer:

x = 27

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Order of Operations: BPEMDAS

<u>Algebra I</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

4x + 10 = 3x + 37

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract 3x on both sides:                    x + 10 = 37
  2. Subtract 10 on both sides:                     x = 27

<u>Step 3: Check</u>

<em>Plug in x to verify it's a solution.</em>

  1. Substitute:                    4(27) + 10 = 3(27) + 37
  2. Multiply:                        108 + 10 = 81 + 37
  3. Add:                               118 = 118

And we have our final answer!

7 0
3 years ago
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