ivan used 5 yards of green for each quilt and 4 yards of blue for each quilt.
A and E are corresponding angles so A=E
Answer:
C
Step-by-step explanation:
i took the test
7. Loan amount = $12000
Monthly payment = $380
Duration of the repayment = 3 years = 3(12) = 36 months.
Total amount Jason repaid = 36 × 380 = 13680
Interest on loan amount = amount repaid - loan amount
= 13680 - 12000
= 1680
Hence, total amount Jason paid in interest on loan = $1680 and the correct option is (D).
8. Loan amount = $35000
Monthly payment = $315
Duration of the repayment = 10 years = 10(12) = 120 months.
Total amount Gerald repaid = 120 × 315 = 37800
Interest on loan amount = amount repaid - loan amount
= 37800 - 35000
= 2800
Hence, total amount Gerald paid in interest on loan = $2800 and the correct option is (B).
Answer:
3. r = -8
4. x = -5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
2(-5r + 2) = 84
<u>Step 2: Solve for </u><em><u>r</u></em>
- Divide 2 on both sides: -5r + 2 = 42
- Subtract 2 on both sides: -5r = 40
- Divide -5 on both sides: r = -8
<u>Step 3: Check</u>
<em>Plug in r into the original equation to verify it's a solution.</em>
- Substitute in <em>r</em>: 2(-5(-8) + 2) = 84
- Multiply: 2(40 + 2) = 84
- Add: 2(42) = 84
- Multiply: 84 = 84
Here we see that 84 does indeed equal 84.
∴ r = -8 is a solution of the equation.
<u>Step 4: Define equation</u>
264 = -8(-8 + 5x)
<u>Step 5: Solve for </u><em><u>x</u></em>
- Divide both sides by -8: -33 = -8 + 5x
- Add 8 to both sides: -25 = 5x
- Divide 5 on both sides: -5 = x
- Rewrite: x = -5
<u>Step 6: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in<em> x</em>: 264 = -8(-8 + 5(-5))
- Multiply: 264 = -8(-8 - 25)
- Subtract: 264 = -8(-33)
- Multiply: 264 = 264
Here we see that 264 does indeed equal 264.
∴ x = -5 is a solution of the equation.
