Answer:
son = 6 mother = 48
Step-by-step explanation:
Mother = m
son = s
m = 8s
m+6 = 9/2 * (s+6)
so
2(8s + 6) = 9(s +6)
16s + 12 = 9s + 54
16s - 9s = 54 - 12
7s = 42
s = 42/7 = 6 years old
so the mother is 8s = 8*6= 48 years old
Find the common denominator. (12)
2•4=8
_ _
3•4=12
8/12•5/12=5/18
5/18 is your answer.
Hoped I helped!
I believe the answer is the first one(4/7).
If there are 5 cards with roses and 3 with daisy's and Alia takes out a card with a rose, there are only 4 rose cards left.
4+3=7
4/7
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According to the information given, the system of inequalities that models the situation is given by:
<h3>System of inequalities:</h3>
For the system, the variables are:
- x is the number of hours that Pump 1 runs.
- y is the number of hours that Pump 2 runs.
They will run for at least 18 hours in a day but obviously no more than 24 hours in a day, hence:
Pump 1 can move 120 gallons per hour while Pump 2 can move 200 gallons per hour. In total the two pumps must move at least 3,000 gallons of water per day, hence:
You can learn more about system of inequalities at brainly.com/question/14361489
Answer: the fuel efficiency of the first car is 20 miles per gallon.
the fuel efficiency of the second car is 15 miles per gallon.
Step-by-step explanation:
Let x represent the number of miles per gallon of the first car.
Let y represent the number of miles per gallon of the second car.
During one particular week, the first car consumed 20 gallons of gas and the second consumed 15 gallons of gas. The two cars drove a combined total of 625 miles. It means that
20x + 15y = 625- - - - - - - - - - 1
The sum of their fuel efficiencies was 35 miles per gallon. It means that
x + y = 35
Substituting x = 35 - y into equation 1, it becomes
20(35 - y) + 15y = 625
700 - 20y + 15y = 625
- 20y + 15y = 625 - 700
- 5y = - 75
y = - 75/ - 5
y = 15
x = 35 - y = 35 - 15
x = 20
