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Reika [66]
3 years ago
6

Which Is A Correct First Step For Solving This Equation? -5(4x-7)+8=3x

Mathematics
1 answer:
nordsb [41]3 years ago
5 0

I'm not sure if this is a multiple choice question, so I will just solve the equation.

-5 (4x - 7) + 8 = 3x

-5 (4x + (-7)) + 8 = 3x

1. Distributive Property of Multiplication

(-5)(4x) + (-5)(-7) + 8 = 3x

2. Simplify

-20x + (-35) + 8 = 3x

3. Simplify again

-20x - 27 = 3x

4. Add 27 to both sides and then subtract 3x from both sides to get all the x's by themselves on the same side

-20x - 27 + 27 = 3x + 27

-20x - 3x = 3x + 27 - 3x

5. Simplify

-23x = 27

6. Divide

-23x / -23 = 27 / -23

7. Simplify

Answer:

<h2>x = - 27/23 ≈ -1.17</h2>

Hope this helps!

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Question 8 of 10 What is sin 30º? 60 2 901 D A B. c.. () E. E )​
levacccp [35]

Answer:

A.  \displaystyle \frac{1}{2}

General Formulas and Concepts:

<u>Trigonometry</u>

  • [Right Triangles Only] SOHCAHTOA  
  • [Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

<u>Step 1: Define</u>

sin 30°

<u>Step 2: Solve</u>

Since sin is opposite over hypotenuse, we need to find the length of the opposite leg of the angle and the length of the hypotenuse.

Given the triangle and it's values, the opposite leg to the 30° angle is 1 and the hypotenuse is 2.

Substituting it into sin, we have:

sin 30° = 1/2 = 0.5

∴ our answer is A.

3 0
2 years ago
A toaster oven costing $130 offers an extended warranty for 25% of the purchase price.
tester [92]

I assume you want the total cost of the toaster and the warranty the total is $162.50

3 0
3 years ago
If a bake sale is selling 3 cookies for $1.05, what is the price of one cookie?
ElenaW [278]

Answer:  $0.35 which is the same as 35 cents

==========================================

Work Shown:

3 cookies = $1.05

3/3 cookies = $1.05/3

1 cookie = $0.35 = 35 cents

7 0
2 years ago
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If the total labor cost is $865,000 and 12 percent is for concession staff, how much of the labor cost is for concession staff?
stepladder [879]
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4 0
3 years ago
What is the effect on the graph of the function f(x) = 2x when f(x) is replaced with f(0.5x)? A) vertical stretching B) vertical
PtichkaEL [24]
<h3><u>Answer:</u></h3>

Option: D

Horizontal stretching.

<h3><u>Step-by-step explanation:</u></h3>

We have to find the effect on the graph of the function f(x)=2x when it is replaced by f(0.5 x).

We know that when a parent function f(x) is replaced by f(kx) then either the graph is stretched horizontally or shrinked horizontally.

if k>1 then the graph is shrinked horizontally.

if k<1 then the graph is stretched horizontally.

Hence here k=0.5<1 so the graph of the function is stretched horizontally.

3 0
3 years ago
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