First step: combine the x terms, x - 4x = -3x.
Second step: Add 32 to both sides, which will cancel out the -32.
Now you have -3x = 32.
To solve for x, divide 32 by -3. The answer is -10.667.
Answer:
12
Step-by-step explanation:
Given that
Current count of pushups = 8
Number of increase in pushups each day = 2
The desired pushup goal on daily basis = 30
Days require = x= ?
as we can conclude the number of pushups would increase by following sequence
8, 10, 12, 14, 16, ......30
Now as we can be the number of pushups by a constant number each day it means this sequence is arithmetic.
First term of our sequence is X1 and the final term is Xn, and the difference between two consecutive terms (Common Difference) is 2.
So
X1 = 8
Xn = 30
d = 2
Using the formula of nth term for arithmetic sequence
Xn = X1 + (n-1)d
Substituting the values
30 = 8 + (n-1)2
30-8 = (n-1)2
22 = 2n -2
22+2 = 2n
2n = 24
n = 24/2
n = 12
So, it means on the 12th day he will have to do 30 pushups if he starts from 8 and increase 2 pushups each day.
<span>c^2 + 5c - 14 = 0 </span>
<span>(c-2)(c+7) = 0 </span>
<span>c-2 = 0 or c+7 = 0 </span>
<span>c = 2 or c = -7 </span>
<span>c^2 - 2c - 15 = 0 </span>
<span>(c-5)(c+3) = 0 </span>
<span>c-5 = 0 or c+3 = 0 </span>
<span>c = 5 or c = -3</span>
Answer to A and B.
The area of rectangle: 22.8×14.5=330.6 ft²The area of rectangle: 22.8×14.5=330.6 ft²
The area of triangle: 12⋅12⋅22.8=136.8 ft²The area of triangle: 12·12·22.8=136.8 ft²
The total area of figure: 330.6+136.8=467.4 ft²The total area of figure: 330.6+136.8=467.4 ft²
B: In order to find how many gallons of paint are needed, we need to divide the total area that needs to be painted (467.4 square ft) by the area one gallon covers (350 square ft)
467.4 ÷ 350 ≈ 1.34 gallons
Since only whole gallons of paint can be purchased, you will need 2 gallons of paint.
At $20 each, the cost will be 2 x $20 or $40.
