Answer:
k = 18
when x = 4, y = 3, z = -24
Step-by-step explanation:
x = k * y * z
Find k when x = 4, y = 3, and z = 24
4 = k * 3 * 24
4 = k * 72
4 = 72k
k = 72/4
k = 18
find z when x = -3 and y = 4
x = k * y * z
-3 = 18 * 4 * z
-3 = 72 * z
-3 = 72z
z = 72/-3
z = -24
Answer:
The student made a mistake in step 4
The length of the radius should be 6 cm
Step-by-step explanation:
Let us write each step to find the radius of a circle from its circumference
Step 1:
∵ C = 2πr
∵ C = 12π
Step 2:
Equate 12π by 2πr
∴ 12π = 2πr
Step 3:
Divide both sides by 2π
∵ 
Step 4:
∴ 6 = r
∴ The radius of the circle is 6 cm
The student mad a mistake he divided the left hand side by 2π and the right hand side by 2 only he left π with r
Step 4:
∴ 6 = πr
So he divided both sides again by π
Step 5:
∵ 
Step 7:
∴
= r
The student made a mistake in step 4
The length of the radius should be 6 cm
Answer:
-146.03008
Step-by-step explanation:
(-8.149)(17.92) = -146.03008
Answer:
Ratios are Equivalent
Step-by-step explanation:
In first one there are 3 cups of peanuts mixed with 2 cups of raisins.
Ratio of peanut to raisins is 3:2 or 1.5
For second trail mix there is 4.5 cup of peanuts mixed with 3 cups of raisins
Ratio of peanuts to raisins is 4.5:3 or 1.5
They are both 1.5