Answer:
=42
Step-by-step explanation:
The expression 8×7×9×49×3 can be written in its simplest factor form as follows.
8=2³
49=7²
9=3²
Thus the expression becomes:2³×7×3²×7²×3
Combine the indices to the same base.
2³×3³×7³
Finding the cube root involves dividing the index by three.
Thus ∛(2³×3³×7³)= 2×3×7
=42
Initial repair cost = $1200
Gratuity = 15% of the initial repair cost
= 15% of 1200

= 15 × 12
= 180
Hence, the gratuity for the service is $180.
Given are several terms in a quadratic pattern:
a1 = ?
a2 = 1
a3 = -16
a4 = ?
a5 = -14
let:
x y
1 ?
2 1
3 -16
4 ?
5 -14
considering the 2nd term and 3rd term, we can determine a quadratic function:
y = -17x + 35
therefore,
a1 = 18
a4 = -33
We have been given that red, green, and white jellybeans are combined in a ratio of 5:4:3 respectively. We are asked to find out the ratio of green jelly beans to the total number of jelly beans.
In order to find out the ratio of green jelly beans to the total number of jelly beans we have to find out the total number of jelly beans.

Now we can find out out our desirable ratio by substituting our finding in the ratio.

Therefore, ratio of green jelly beans with respect to all jelly beans is 1:3.
Answer:
m+7
Step-by-step explanation:
If she ran 7 minutes longer and m represents the amount of time she ran, then it would just be addition.
Let's say m=60 minutes. She would've ran for 67 minutes, which is also m+7.