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3 years ago

Solve the following equation: 156 + (7 – 3) x 7 = A. 174 B. 184 C. 1,050 D. 1,120

2 answers:

8 0

In this problem, it is essential to use the order of operations, or PEMDAS (parentheses, exponents, multiplication, division, addition, subtraction). First, you solve 7-3=4. Then, you multiply 7 times 4, which is 28. Lastly, you add 28 to 156 which is 184. So your answer is B.

KonstantinChe [14]3 years ago

6 0

[tex][tex] \\ 156 + (7-3) x 7 \\ \\ (7-3)=(4) \\ \\ (4)7=28 \\ \\ 156 + 28 = 184 \\ \\ Solution: B. 184 \\

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Which equation justifies why nine to the one third power equals the cube root of nine?

AVprozaik [17]

Answer:

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

Step-by-step explanation:

we know that

The Power of a Power Property , states that :To find a power of a power, multiply the exponents

$(a^{b})^{c}=a^{b*c}$

In this problem we have

$9^{\frac{1}{3}} =\sqrt[3]{9}$

Remember that

$\sqrt[3]{9}=9^{\frac{1}{3}}$

Raise to the third power

$[9^{\frac{1}{3}}]^3$

Applying the power of power property

$9^{\frac{3}{3}}$

$9^{1}$

$9$

therefore

nine to the one third power all raised to the third power equals nine raised to the one third times three power equals nine

8 0

3 years ago

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If MB = 6x-9, and AM = 27, find x.

telo118 [61]

Answer:

x=11

Step-by-step explanation:

M is the midpoint this means that we can set AM and BM equal to eachother, once this is done we can solve for x

9x-6=6x+27 (set equal to eachother)

9x=6x+33 (add 6)

3x=33 (subtract 6x)

x=11 (divide by 3)

7 0

3 years ago

How many inches are in three fourths of a yard

guapka [62]

The answer is 27 inches. I am 90% sure of it. It is 27 because a yard has 36 inches. So you do the rule of three. 36/4*3. 36/4 is 9. 9*3=27. I hope you pass your test! :D

3 0

3 years ago

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

Luden [163]

Answer:

x = -10

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS
Equality Properties

Step-by-step explanation:

Step 1: Define equation

4.5(8 - x) + 36 = 102 - 2.5(3x + 24)

Step 2: Solve for x

Distribute: 36 - 4.5x + 36 = 102 - 7.5x - 60
Combine like terms: -4.5x + 72 = -7.5x + 42
Add 7.5x on both sides: 3x + 72 = 42
Subtract 72 on both sides: 3x = -30
Divide 3 on both sides: x = -10

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 4.5(8 - -10) + 36 = 102 - 2.5(3(-10) + 24)
Simplify: 4.5(8 + 10) + 36 = 102 - 2.5(3(-10) + 24)
Multiply: 4.5(8 + 10) + 36 = 102 - 2.5(-30 + 24)
Add: 4.5(18) + 36 = 102 - 2.5(-6)
Multiply: 81 + 36 = 102 + 15
Add: 117 = 117

Here we see that 117 does indeed equal to 117.

∴ x = -10 is a solution of the equation.

7 0

3 years ago

2,000 +3,500+4,000+6,000+10,000=what

kvv77 [185]

Answer:

25500

Step-by-step explanation:

6 0

2 years ago

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