The answer is 10. I made 8 an improper fraction and flipped the 4/5 and made them improper as well. Then I multiplied the two improper fractions and got an answer of 10. (8/1 • 5/4 >> 40/4 = 10).
Answer:
It can go in once with a remainder of 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
2. 2x+1
2(0)+1
1
3. a^2+1
(-2)^2+1
4+1
Answer:
<u>Bill must give Jack a handicap of 165 yards to finish the race at the same time. The correct answer is A. 165 yards.</u>
Step-by-step explanation:
1. Let's review the information given to answer the question correctly:
Bill can run 440 yards in 55 seconds
Bill speed = 8 yards per second (440/55)
Jack can run 440 yards in 88 seconds
Jack speed = 5 yards per second (440/88)
2. How great a handicap must Bill give Jack for the boys to finish the race at the same time?
The total duration of the race will be 55 seconds
Using Rule of Three Simple, we have that:
Jack will run 55 * 5
Jack will run 275 yards in 55 seconds
Bill must give Jack a handicap of 440 - 275 yards
Bill must give Jack a handicap of 165 yards to finish the race at the same time. The correct answer is A. 165 yards.
Answer:
x = 
Step-by-step explanation:
The absolute value always returns a positive value but the expression inside can be positive or negative, that is
x + 4 = 3x - 5 ( subtract 3x from both sides )
- 2x + 4 = - 5 (subtract 4 from both sides )
- 2x = - 9 ( divide both sides by - 2 )
x =
OR
-(x + 4) = 3x - 5
- x - 4 = 3x - 5 ( subtract 3x from both sides )
- 4x - 4 = - 5 ( add 4 to both sides )
- 4x = - 1 ( divide both sides by - 4 )
x = 
As a check
Substitute these values into the equation and if both sides are equal then they are the solutions
| + 4 | = | 
| =
right side = 
- 5 =
left side = right side , thus x = is a solution
check second solution
| + 4 | = | 
| =
right side = 
- 5 = -
right side ≠ left sides, hence not a solution
