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natima [27]
3 years ago
15

Which value of a from the set {16, 18, 20, 22} makes the equation 2(42 - a) = 48 true?

Mathematics
1 answer:
klio [65]3 years ago
7 0
a is equivalent to 18.

2(42 - a) = 48
2(42) + 2(-a) = 48     *distributive property of multiplication
84 - 2a = 48
-2a = 48 - 84
-2a = -36
-2a/-2 = -36/-2
a = 18

to check:
2(42-a)   = 48
2(42-18) = 48
2(24)      = 48
48          = 48
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3 years ago
A triangular pyramid and its net are shown. Rain uses Calculations below to conclude that the surface area of a triangular pyram
Harman [31]

Answer:

Rain is correct, calculates correctly, 238.5 square inches

Step-by-step explanation:

The given triangular pyramid is shown with the dimensions.

The surface area of the triangular pyramid is given by :

$A=\frac{1}{2}\left(a \times b\right) + 3\left(\frac{1}{2}\times b\times s\right)$

$A=\frac{1}{2}\left(10 \times 8.7\right) + 3\left(\frac{1}{2}\times 10\times 13\right)$

$A=43.5+(3\times 65)$

$A=43.5+195$

$A=238.5 \ \text{inche}^2$

Therefore, the surface area of the triangular pyramid is = 238.5 square inches.

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6 0
2 years ago
Y + 2x = 4 How do I complete this?
Leviafan [203]
To solve this, what you will need to do is find the solution of one variable and then substitute it and solve for the other.

Here’s how to solve:
y+2x=4
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y=4-2x

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4=4

So if you’re trying to see if it is true, then your answer is that it’s true.

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2 years ago
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gladu [14]

Answer:

57

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Step-by-step explanation:

<u>Step 1: Define</u>

n² - m

m = 7

n = 8

<u>Step 2: Evaluate</u>

  1. Substitute:                    8² - 7
  2. Exponents:                   64 - 7
  3. Subtract:                       57
7 0
2 years ago
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