Answer:
C=10. They did distributive property. Hope this helped!
Step-by-step explanation:
Hello!
To solve this, first say x = number of hours grading.
We can set up fractions to represent how much each one of them can grade in one hour. To do this, divide the number of essays by the number of hours it would take for them to grade them. Therefore, the professor would be able to grade 5/2 essays in one hour, and her assistant would be able to grade 7/3 essays in one hour.
Now, set up your equation.
5/2x + 7/3x = 40
Since x = number of hours spent grading, multiply that by the respective fractions we calculated earlier to get the number of essays they would grade in x hours. Set the equation equal to 40 as you are looking for 40 essays done.
Now, solve the equation. First, set a common denominator, add the two fractions together, then simplify.
5/2x + 7/3x = 40
15/6x + 14/6x = 40
29/6x = 40
x = 40/(29/6)
x = 40 * (6/29)
x = 240/29
x = about 8.3
Therefore, your answer is about 8.3 hours, or about 8 - 9 hours.
Hope this helps!
Answer:
✧・゚: *✧・゚:* *:・゚✧*:・゚✧
✅ I will have the file for the answer key below!
~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡
~
Answer:
$5
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4%/100 = 0.04 per year,
putting time into years for simplicity,
3 months ÷ 12 months/year = 0.25 years,
then, solving our equation
I = 500 × 0.04 × 0.25 = 5
I = $ 5.00
The simple interest accumulated
on a principal of $ 500.00
at a rate of 4% per year
for 0.25 years (3 months) is $ 5.00.
A) x° = 110/2 = 55°
b) x° = (88+86)/2 = 87°
c) x° = (90-20)/2 = 35°