Answer:
3.167 ft²
12.5 inches
Step-by-step explanation:
1.)
Measure of each wall : 16 6/2 '
Number of walls = 2
Total area to be painted :
16 6/2' * 2 = (16 + 3) * 2 = 19 * 2 = 38 inches
1 feet = 12 inches
x = 38 inches
12x = 38
x = 38 / 12 = 3.167 ft²
2.)
Area of rectangular canvas = 225
Height = 18
Base, b =?
Area of rectangle = height * base
225 = 18 * b
225 / 18 = 18b / 18
12.5 = b
Base = 12.5 inches
Answer:
15x - 7 is the algebraic translation
Answer:
Do the opposite operation
Step-by-step explanation:
If there is a coefficient like 3x, you have to divide the 3 on both sides. This is because 3x is equivalent to 3*x. The opposite of multiplication is division.
Answer:
51 vreels
Step-by-step explanation:
Step 1: Given data
Ratio of gespils to vreels on the planet Joop: 6:14
Step 2: Calculate the number of gespils per 120 vreels
Elentine has 120 vreels on her rew farm. If there are 6 gespils every 14 vreels, the number of gespils is:
120 vreels × (6 gespils/14 vreels) ≈ 51 vreels
Answer:
- -35/3, -140/3, - 560/3, -2240/3
- 7, -28, 112, - 448
Step-by-step explanation:
<u>The terms are:</u>
<u>Given:</u>
- a₁ = a₂ + 35
- a₃ = a₄ + 560
<u>Use the nth term formula:</u>
- a₂ = a₁r
- a₃ = a₁r²
- a₄ = a₁r³
<u>Substitute:</u>
- a₁ = a₁r + 35 ⇒ a₁(1 - r) = 35
- a₁r² = a₁r³ + 560 ⇒ a₁(1 - r)r² = 560
<u>Divide the second equation by the first:</u>
- r² = 560/35
- r² = 16
- r = √16
- r = ± 4
<u>Use the first equation to find the first term:</u>
- a₁( 1 ± 4) = 35
- 1. a₁ = 35/-3 = -35/3
- 2. a₁ = 35/5 = 7
<u>We have two sequences:</u>
r = 4
- -35/3, -140/3, - 560/3, -2240/3
r = -4
