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vazorg [7]
3 years ago
8

Gabriela's monthly take-home pay is $2800, and her monthly rent is $700. If both her monthly take-home pay and her rent increase

by $210, what percentage of Gabriela's take-home pay will be used to pay rent?
Mathematics
2 answers:
ruslelena [56]3 years ago
5 0
Gabriela spends about 30% of her take home pay on rent.
katovenus [111]3 years ago
4 0

Answer:

30.23%

Step-by-step explanation:

Gabriela's monthly take-home pay  = $2,800

Her monthly rent = $700

if her monthly take-home pay and her rent increase by $210.

Her monthly take-home pay would be = 2800 + 210 = $3,010

Her monthly rent would be = 700 + 210 = $910

Now we have to calculate the percentage of Gabriela's take-home pay used to pay rent.

\frac{910}{3010} × 100

= 0.3023 × 100

= 30.23%

Gabriela's take-home pay will be used 30.23% to pay rent.

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2 years ago
What is the solution to the equation
Elis [28]

Answer:

x = -13

Step-by-step explanation:

Distribute:

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Combine like terms:

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8 0
3 years ago
Read 2 more answers
Solve and check the linear equation.<br> 3(x-2) + 8 = 2(x + 5)
ANEK [815]

Answer:

x = 8

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
  • Subtraction Property of Equality

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

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

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

  1. (Parenthesis) Distribute:                                                                               3x - 6 + 8 = 2x + 10
  2. Combine like terms:                                                                                     3x + 2 = 2x + 10
  3. {Subtraction Property of Equality] Subtract 2x on both sides:                    x + 2 = 10
  4. [Subtraction Property of Equality] Subtract 2 on both sides:                      x = 8

<u>Step 3: Check</u>

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

  1. Substitute in <em>x</em>:                                                                                               3(8 - 2) + 8 = 2(8 + 5)
  2. (Parenthesis) Subtract/Add:                                                                         3(6) + 8 = 2(13)
  3. Multiply:                                                                                                         18 + 8 = 26
  4. Add:                                                                                                               26 = 26

Here we see that 26 does indeed equal 26.

∴ x = 8 is the solution to the equation.

3 0
2 years ago
Help? im confused plss!<br> Find the area of the regular polygon with the given radius or apothem
Snezhnost [94]

Answer:

  50 cm²

Step-by-step explanation:

Given that the regular polygon is a square, there are multiple ways you can jump directly to the answer. Perhaps the simplest is to use the formula for the area of a rhombus:

  A = 1/2(d1)(d2)

where d1 and d2 are the lengths of the diagonals. Here, we see that half the diagonal is 5 cm, so the area is ...

  A = (1/2)(10 cm)(10 cm) = 50 cm² . . . . area of the polygon

__

<em>Alternate solution</em>

If you want to use the radius and the number of sides in a formula, you can consider the area of each triangle formed by radii and a side. That triangle has area ...

  A = 1/2r²sin(α)

where r is the radius and α is the central angle. For an n-sided polygon, the area is the sum of n of these triangles, and the central angle is 360°/n. Then the polygon area is ...

  A = n/2·r²·sin(360°/n)

For n = 4 and r = 5 cm, the area is ...

  A = (4/2)(5 cm)²(sin(360°/4)) = 2(5 cm)²(1) = 50 cm² . . . . area of square

_____

<em>Additional comment</em>

The formula is somewhat different if you start with the length of the apothem. One way to find the area is using the above formula and the relation between the radius and apothem:

  r = a·sec(180°/n)

Another formula uses the apothem directly:

  A = n·a²·tan(180°/n)

8 0
2 years ago
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