Answer: Maria's age = 12
Father's age = 36
Step-by-step explanation:
Let Maria's age be p and her father's age be q
Then, we form equation from the question:
Father's age (q) = 3 x p
Therefore, q = 3p ......equation 1
Six years ago,
q - 6 = 5 (p - 6)
q - 6 = 5p - 30
q - 5p = -30 + 6
q - 5p = -24 ..........equation 2
Insert the value of q= 3p into equation 2
3p - 5p = -24
-2p = -24
Divide both sides by -2
p = -24/-2
p = 12
If Maria"s age is 12, then Father's age(q) = 3p will be 3 x 12= 36
Answer:
Step-by-step explanation:
total profit=income -cost
or
P(x)=R(x)-C(x)=-0.5x²+800x-100-(300 x+250)
or P(x)=-0.5x²+800x-100-300x-250
or P(x)=-0.5 x²+500 x-350
so (2)
The difference between 1/8(shortest) and 8/8(tallest) is 7/8
4 1/4 lbs of onions = 1llb
so there are 4 x 3 servings = 12 servings in 1 lb
6 servings in 1/2 lb
total of 12+6= 18 servings
you can also use ratio and proportion
converted to decimals to eliminate fractions
,25/3= 1.5/x
cross multiply
.25x= 4.5
x=18
hope this helps