Answer:
23+7-2x=8x
We simplify the equation to the form, which is simple to understand
23+7-2x=8x
We move all terms containing x to the left and all other terms to the right.
-2x-8x=-23-7
We simplify left and right side of the equation.
-10x=-30
We divide both sides of the equation by -10 to get x.
x=3
Step-by-step explanation:
Answer:
Point B is located at point (2, 4)
Step-by-step explanation:
Since point M is at the center, you find the distance from point A and add that to the other side.
| -1 - 0.5 | = | -1.5 | = 1.5
| -9 - -2.5 | = | -6.5 | = 6.5
Now we can add that to point M to find point B
0.5 + 1.5 = 2
-2.5 + 6.5 = 4
Point B should be at (2, 4)
Answer: Melanie swam 63 minutes more in second week.
Step-by-step explanation:
Given , Time taken by Melanie in first week to swim = 142 minutes
Combined time taken by her in first two weeks in swimming = 347 minutes
Now , time taken by her in second week = (Combined time of first two week) - (Time taken in first week)
= 347-142 minutes
= 205 minutes
Clearly , 205 > 142 i.e. She swam more in second week than first week./
Difference i= 205-142 = 63
Therefore, Melanie swam 63 minutes more in second week.
Answer:
The exact interest on $5,870 at 12% is $410.9
Step-by-step explanation:
From the information provided we know that
Principal amount: $5,870
Interest rate: 12% -> 0.12
Time: 7 months (From June to December)
When you know the principal amount, the rate, and the time, the amount of interest can be calculated by using the formula:
where P is principal, r is the rate of interest and t is the time in years.
We need to convert the 7 months into 1 year.
Now we can use the above formula
Therefore the exact interest on $5,870 at 12% is $410.9
