Answer:
It takes them 1.875 hours.
Step-by-step explanation:
Here, the job is cleaning the house.
Mom does 1 job in 3 hours.
In 1 hour, mom does 1/3 of the job.
Dad does 1 job in 5 hours.
In 1 hour, dad does 1/5 of the job.
Mom and dad working together do the job in x hours.
In 1 hour, mom and dad together do 1/x of the job.
1/3 + 1/5 = 1/x
5/15 + 3/15 = 1/x
8/15 = 1/x
8x = 15
x = 15/8 = 1.875
Answer: It takes them 1.875 hours.
Answer:
5/3
Step-by-step explanation:
The opposite of a number always has to have the same distance from zero, positive or negative. So in this case, since -5/3 is a negative fraction, the answer would be 5/3. This fraction may be positive but they have the same distance from zero.
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Hi there!
Recall the volume of a pyramid is:
V = 1/3(bh)
We are given the volume and side length of the base. Find the area of the base:
A = s²
A = (5xy²)² = 25x²y⁴
Plug in the solved for base:
125x³y³ = 1/3(25x²y⁴)h
To isolate for h, begin by multiplying both sides by 3:
375x³y³ = (25x²y⁴)h
Divide both sides by 25x²y⁴. Use the following exponent property:
xᵃ / xᵇ = xᵃ⁻ᵇ
Thus:
375x³y³ / 25x²4⁴ = 15x/y.
The height must be equal to:
Answer: 50 degrees
You cut the arc measure 100 degrees in half. This is using the inscribed angle theorem. The angle 'a' is the inscribed angle that cuts off this 100 degree arc.
