Answer:
The two numbers are x = 8 and y = 5
Step-by-step explanation:
Let the two numbers be x and y
The difference of two numbers is 3 is represented as:
x - y = 3------------------Equation 1
Their sum is 13 is represented as:
x + y = 13----------------Equation 2
x - y = 3------------------Equation 1
Using method of Elimination by subtracting Equation 1 from Equation 2
x-x + y-(-y) = 13 - 3
2y = 10
y = 10/2
y = 5
Substituting y = 5 in Equation 2
x + 5 = 13
x = 13 - 5
x = 8
∴ The two numbers are x = 8 and y = 5
Answer:
His rate is 12 1/2 pages per hour.
Step-by-step explanation:
Given that,
Gordon types 43 3/4 pages in 3 1/2 hours or Gordon types 175/4 pages in 7/2 hours./ We need to find its rate in pages per hour. So,

Hence, his rate is 12 1/2 pages per hour.
Answer:
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The equal fraction is 7/10
We need to use the formula for simple interest which is
I= prt
Where I is the amount of money you earned or pay in interest
p is the principal, the amount you deposited or borrowed
r is the interest rate expressed as a decimal
t is time in terms of years
In this problem, I= 1,680
p= 3000
t= 8
'. r is what we are looking for.
Substituting the numbers into the simple interest formula, we get
I=. p r t
1,680=(3000)(r)(8). Multiplying
1,680= 24,000r Divide both sides by 24,000
0.07= r
So, the percentage is (0.07)(100)= 7%...