Answer:
3 hours
Step-by-step explanation:
Rodriguez did 1/3 of the job, so the remaining 2/3 of the job will take the assistant 2/3 of the usual time:
(2/3)(4 1/2) = 3 . . . hours
The assistant can complete the job in 3 hours.
Answer:
SAS
Step-by-step explanation:
As per the given diagram, the following facts are evident.
(BR) = (CR), Both sides have two small orange lines on them. This shows that these sides are congruent.
(<B) = (<C), this is shown by the box around both angles, indicating that both angles have a measure of (90) degrees.
(AB) = (AC), Both sides have one small orange line on them. This indicates that these sides are congruent to each other.
Therefore, the sides are congruent by the theorem (SAS); side-angle-side, congruence.
Answer:
8 years
Step-by-step explanation:
Let age of father be f
age of John be j
age of Alice be a
John's father is 5 times as old as John. We can write:
f = 5j
John is twice as old as Alice. We can write:
j = 2a
or
a = j/2
SUM OF ALL OF THEIR AGES (after 2 years) will be 58. We can write:
f+2 + j+2 + a+2 = 58
This becomes:
f + j + a + 6 = 58
f + j + a = 52
Now, we replace third equation with the first two (in bold) and get:
So John is 8 years old
Answer:
2(2x+5) (x+1) = 2(x+1)(2x+5)
Step-by-step explanation:
4x^2 +14x+10
Factor out the 2
2(2x^2 +7x+5)
2(2x+5) (x+1)
You need to keep the 2 that you factored out
2(2x+5) (x+1) = 2(x+1)(2x+5) by the Commutative Property of Multiplication
4485 square feet of grass ... 3/4 of an hour
x square feet of grass = ? ... 1 hour
If you would like to know how many square feet of grass can be fertilized per hour, you can calculate this using the following steps:
4485 * 1 = 3/4 * x
4485 = 3/4 * x /*4/3
x = 4485 * 4 / 3
x = 5980 square feet
Result: 5980 square feet of grass can be fertilized in one hour.
