The direct variation between x and y may be written as,
y = kx
where k is the constant of variation. From the first set of values of the variables,
12 = k(8)
the value of k is 1.5. Substituting the next set to the same equation,
y = 1.5(14)
The value of y is 21.
Answer:
eqaution 1: Proportinal
eqaution 2:Proportinal
Step-by-step explanation:
Given
A mouse scurries across your kitchen floor at 2.0 feet per second.
Find out the mouse travel in 1.5 hours.
To proof
FORMULA
Distance = speed × time

Convert feet per second into miles per second

As given in the question
Time = 1.5 hours
1 hours = 3600 second
Time convert in the second
Time = 1.5 × 3600 second
= 5400 second
put all these value in the above formula
we get


= 2.04 (approx) miles
= 2.0 miles
Hence proved
Step 1:
Start by setting it up with the divisor 5 on the left side and the dividend 33 on the right side like this:
5 ⟌ 3 3
Step 2:
The divisor (5) goes into the first digit of the dividend (3), 0 time(s). Therefore, put 0 on top:
0
5 ⟌ 3 3
Step 3:
Multiply the divisor by the result in the previous step (5 x 0 = 0) and write that answer below the dividend.
0
5 ⟌ 3 3
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (3 - 0 = 3) and write the answer below.
0
5 ⟌ 3 3
- 0
3
Step 5:
Move down the 2nd digit of the dividend (3) like this:
0
5 ⟌ 3 3
- 0
3 3
Step 6:
The divisor (5) goes into the bottom number (33), 6 time(s). Therefore, put 6 on top:
0 6
5 ⟌ 3 3
- 0
3 3
Step 7:
Multiply the divisor by the result in the previous step (5 x 6 = 30) and write that answer at the bottom:
0 6
5 ⟌ 3 3
- 0
3 3
3 0
Step 8:
Subtract the result in the previous step from the number written above it. (33 - 30 = 3) and write the answer at the bottom.
0 6
5 ⟌ 3 3
- 0
3 3
- 3 0
3
Which equals 6
Answer:
x>-7
Step-by-step explanation: