Answer:
70 C
Step-by-step explanation:
C = 5/9 * (F-32)
substitute F = 158
C = 5/9 ( 158-32)
Parentheses first
= 5/9 (126)
= 70
Answer:
yes
Step-by-step explanation:
Given:
Cone shape: radius = 24 cm ; height = 6cm
Cylinder: radius = 16cm
We need to find the volume of each shape.
Volume of a cone = π r² h/3 = 3.14 * 24² * 6/3 = 3.14 * 576 * 2 = 3,617.28
Volume of a cylinder = π r² h
3,617.28 = 3.14 * 16² * h
3,617.28 = 3.14 * 256 * h
3,617.28 = 803.84 h
3,617.28 / 803.84 = 803.84h/803.84
4.5 = h
The height of the cylinder is 4.5cm
Given that the method of revenue calculation is straight line method, the equation modeling this will be given by:
y=mx+c
where:
m=slope
x=time
c=initial value.
from our question:
slope,m=$7000
time=T
y(x)=R(t)
hence the formula after the sixth month will be:
R(t)=7000T+45000
Answer:
B. 10
C. All real numbers.
Step-by-step explanation:
6 (2x-4) = 8(x + 2)
Distribute the numbers outside of the factors:
12x - 24 = 8x + 16
Subtract both sides by '8x'
12x - 8x - 24 = 8x - 8x + 16
4x - 24 = 16
Add '24' to both sides:
4x = 40
Divide both sides by 4:
x = 10. Therefore, <u>B. 10</u> is the correct answer.
3(4p - 2) = -6(1 - 2p)
Distribute the numbers similarly to the example before:
12p - 6 = -6 + 12p
Subtract '12p' from both sides:
12p - 12p -6 = -6 + 12p - 12p
0 -6 = -6
Add '6' to both sides:
0 - 6 + 6 = -6 + 6
0 = 0
Therefore, the solution consists of <u>all real numbers.</u>