a.
h = 2c - 3
b.
3h + 1.5c = 201
c.
We have a system of equations from part a and b.
h = 2c - 3 (equation 1)
3h + 1.5c = 201 (equation 2)
We use substitution method to solve this system.
Substitute equation 1 in equation 2 to get
3h + 1.5c = 201
>> 3(2c - 3) + 1.5c = 201
>> 6c - 9 + 1.5c = 201
>> 7.5c = 201 + 9
>> 7.5c = 210
>> c = 210 / 7.5
>> c = 28
Plug this value back in equation 1 to get
h = 2c - 3
>> h = 2(28) - 3 = 56 - 3 = 53
So, c = 28 and h = 53 implies that <u>28 corndogs</u> and 53 hotdogs were sold.
Step-by-step explanation:
The square root of a fraction is the square root of the numerator over the square root of the denominator. In this case, 1/4. The square root of 1/16 = 1/4 Ans.
Answer:
C 5 km
Step-by-step explanation:
so, 5 cm on the map correlates to
5×100000 = 500000 cm in reality.
100 cm = 1 m
1000 m = 1 km
so, 500000 / 100 = 5000 m.
5000 / 1000 = 5 km
Answer: Smaller side = 14ft
middle side = 33ft
Larger side = 37ft
Step-by-step explanation:
This triangle has 3 sides, defined by the variables:
S = length of the smallest side.
M = length of the middle side.
L = length of the larger side.
And the perimeter of a triangle is equal to the addition of the length of each side of the triangle.
We also know that:
M = 5ft + 2*S
L = 3*S - 5ft
84ft = S + M + L.
The first step is to replace the first and the second equation into the third, so we can solve it for S.
84ft = S + (5ft + 2*S) + (3*S - 5ft)
84ft = 6*S
84ft = 6*S
84ft/6 = 14ft = S.
Now that we found the length of the shorter side, we can replace it in the above equations to find the length of the other two sides:
M = 5ft + 2*S = 5ft + 2*14ft = 33ft
L = 3*S - 5ft = 37ft
3/8 is the correct answer
