Answer:
150
Step-by-step explanation:
If you had 3 dollars plus the 10 your mom gave you would have 13. Then, if you dad gave you 30 that would be 43. Plus the 100 your aunt and uncle gave you would be 143. Plus 7 would be your answer of 150
Find his rate:
120 / 15 = $8 per hour
Multiply the rate by hours:
$8 x 20 hours = $160
He will earn $160
Answer:
The answer is below
Step-by-step explanation:
a)Given that the length of fencing available is 400 yards. This means that the perimeter of the rectangle is 400 yards.
the perimeter of a rectangle is given as:
Perimeter = 2(length + width) = 2(l + w)
Hence;
400 = 2(l + w)
200 = l + w
l = 200 - w
The area of a rectangle is given as:
Area = length × width
Area = (200 - w) × w
Area = 200w - w²
b) For a quadratic equation y = ax² + bx + c. it has a maximum at x = -b/2a
Hence, for the area = 200w - w² a=-1, b = 200, the maximum width is at:
w = -b/2a = -200/2(-1) = -200/-2 = 100
A width of 100 yard has the largest area
c) l = 200 - w = 200 - 100 = 100 yards
Area = l × w = 100 × 100 = 10000 yd²
The maximum area is 10000 yd²
Answer:
Inverse Property of Addition (Reason C)
Step-by-step explanation:
<u>Given:</u> 3(x – 4) = 33
<u>Prove: </u>x = 15
Statements Reasons
1. 3(x – 4) = 33 Given
2. 3x – 12 = 33 Distributive Property (Reason A)
3. 3x – 12 + 12 = 33 + 12 Addition Property of Equality (Reason B)
4. 3x + 0 = 45 Inverse Property of Addition (Reason C)
5. 3x = 45 Zero Addition Property (Reason D)
6. x = 15 Division Property of Equality
