Answer: 120
Step-by-step explanation:
3+2=5
Let x be the amount of money to be shared
Paul’s share which is (3/5)x is 60+ Quinn’s share which is (2/5)x
Therefore
(3/5)x= (2/5)x + 60
(3/5)x - (2/5)x= 60
(x/5)=60
Cross multiply
x= 60*5=300
It means that Quinn’s share is (2/5)(300)= 120
Answer:
amusing you mean 3x^2-8x-16 the answer is when x is equal to -4/3 and 4
Step-by-step explanation:
3x^2-8x-16 ------> (3x+4)(x-4)
3x+4=0 ----> 3x=-4 ----> x=-4/3
x-4=0 ----> x=4
Answer:
78
Step-by-step explanation:
The tricky part of this is figuring out how to assign the unknowns. We are told that we are working with two consecutive even integers. Consecutive means "next to" or "in order" and sum means to add. If we use 2 and 4 as examples of our 2 consecutive even integers and assign x to 2, then in order to get from 2 to 4 we have to add 2. So the lesser of the 2 integers is x, and the next one in order will be x + 2. (2 and 4 are just used as examples; they mean nothing to the solving of this particular problem. You could pick any 2 even consecutive integers and find the same rule applies. All we are doing here with the example numbers is finding a rule for our integers.) Now we have the 2 expressions for the integers, we will add them together and set the sum equal to 158:
x + (x + 2) = 158
The parenthesis are unnecessary since we are adding, so when we combine like terms we get
2x + 2 = 158 and
2x = 156 and
x = 78
That means that the lesser of the 2 integers in 78, and the next one in order would be 80, and 78 + 80 = 158
Answer:
Part A: 2.8 miles
Part B: 16.8 miles
Step-by-step explanation:
First, solve for how many miles Ted jogged in 1 day:
Variable x = number of miles
11.2/4 = x/1
Cross multiply
11.2 × 1 = 4 × x
11.2 = 4x
Divide both sides by 4
2.8 = x
He jogged 2.8 miles every day.
To find how many miles Ted would jog in 6 days, simply multiply his miles per day by the number of days he will jog:
2.8 miles × 6 days = 16.8 miles in 6 days
