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:
x = 5 and y = 13
Step-by-step explanation:
<u>Points to remember</u>
The ratio of of corresponding sides of similar triangles are equal.
From the figure we can see two similar triangle
<u>To find the value of x</u>
x/(x + 15) = 12/48
x/(x + 15) = 1/4
4 * x = x + 15
4x - x = 15
3x = 15
x = 15/3 = 5
<u>To find the value of y</u>
y/(y + 39) = 12/48 = 1/4
4y = y + 39
3y = 39
y = 39/3 = 13
Therefore x = 5 and y = 13
Answer:
if 128 ounces is one gallon then the cow can drink up to 4480 ounces , which is the same as 35 gallons
Step-by-step explanation:
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Answer:
y(x)=0.8x+2.1
x=12 miles
Step-by-step explanation:
Let x represent the number of miles covered and with a fixed charge of 2.1 irrespective of miles covered then the equation can be written as
y(x)=0.8x+2.1
Substituting y(x) with 11.7 then
11.7=0.8x+2.1
0.8x=11.7-2.1=9.6
X=9.6/0.8=12 miles
Answer:
A: December
B: 130°
Step-by-step explaination:
B: 92°+38°= 130°F