Answer:
x<1
Step-by-step explanation:
10x + 80 < 90
10x < 90 - 80
10x < 10
x < 1
Answer:
F = -79.78
Step-by-step explanation:
You need to set F by itself
5/9(F-32) = -62.1
multiply the reciprocal of 5/9 on both sides to eliminate 5/9. The reciprocal is 9/5
-62.1 times 9/5
= -111.78
F-32 = -111.78
add 32 on both sides to get F by itself.
-111.78 + 32 = -79.78
Your final answer
Answer:
see explanation
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of variation
(a)
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
When M = 540, then
540 = 2.5r³ ( divide both sides by 2.5 )_
216 = r³ ( take the cube root of both sides )
r =
= 6
Answer:
7 is the answer.
Step-by-step explanation:
In equations like this, you would solve the numbers in the parenthesis first, and then gradually do: Multiplication -> Division -> addition -> subtraction.
Therefore, -18 / 9 is -2.
-2 * 2 would be -4,
11 + (-4) would be 7.
Answer : 7.
We know that for √x to be meaningful, we must have x ≥ 0.
If we square both sides of the inequality, we have
x < 4²
x < 16
Thus the whole solution is
0 ≤ x < 16
The following choices are valid solutions to the inequality:
B. 12
C. 2
E. 5