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Alja [10]
2 years ago
12

1/3z=-5 solve the equation for the value of the variable show all work

Mathematics
2 answers:
Alexxx [7]2 years ago
6 0

Answer:

z = -15

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

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

1/3z = -5

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

  1. Multiplication Property of Equality [Multiply both sides by 3]:                     3 · 1/3z = -5 · 3
  2. Simplify [Multiply]:                                                                                          z = -15

<u>Step 3: Check</u>

<em>Plug in z into the original equation to verify it's a solution.</em>

  1. Substitute in <em>z</em>:                    1/3(-15) = -5
  2. Multiply:                               -5 = -5

Here we see that -5 does indeed equal -5.

∴ z = -15 is the solution to the equation.

navik [9.2K]2 years ago
5 0

Answer:

z=-15

Step-by-step explanation:

Multiply both sides by 3:

z=-15

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4 0
3 years ago
Andre wants to buy a bike that has a price tag of $125. What was the wholesale cost of this bike?
san4es73 [151]

The bike store marks up the wholesale cost of all of the bikes they sell by 30%. Andre wants to buy a bike that has a price tag of $125. What was the wholesale cost of this bike?

Answer:

$96.15

Step-by-step explanation:

Let x be the wholesale cost of the bike.

Given:

Price tag of a bike = $125.

The bike store marks up the wholesale cost of all of the bikes they sell by 30%.

So we can find the wholesale cost of the bike by the following way.

\frac{100+30}{100}\times x = 125

\frac{130}{100}\times x = 125

x=\frac{125\times 100}{130}

x=\frac{12500}{130}

x=\frac{1250}{13}

x=96.15

Therefore, the wholesale cost of the bike is $96.15.

7 0
3 years ago
How do you write 2.244 million in standard form
tiny-mole [99]
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3 years ago
The angle measurements in the diagram are represented by the following expressions
marusya05 [52]

Answer:

Ahhh, vertical angles, thank goodness for these, hahaha!

According to the Vertical Angles Theorem, ∠A and ∠B are consider proportionate, meaning they're the same on both sides.

Knowing this, you have to set each equation equal to each other in order to solke this one!

Let's do it!

6x + 18 = x + 93

STEP 1: Isolate X (bring it to one side) by subtracting x from both sides.

5x + 18 = 93

STEP 2: Get X alone by subtracting 18 from both sides.

5x = 75

STEP 3: Finally, to get X alone, we need to do the opposite of multiplication, which is division. So we shall divide by 5 on both sides.

FINAL ANSWER: x = 15

NOTE: <em>X is B. </em>

5 0
3 years ago
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