Triangles IJK and LMN are similar. Then, the proportion between their similar sides must be equal. That is:
IJ/ML = JK/MN = IK/LN
where:
IJ = x
JK = 54
IK = y
MN = 42
ML = 28
NL = 35
In order to find the value of y, you consider the equation JK/MN = IK/LN, and solve for y, just as follow
JK/MN = IK/LN replace by the values
54/42 = y/35 multiply both sides by 35
(54/42)(35) = y
45 = y
Hence, y = 45
Answer:
70000 gallons
Step-by-step explanation:
The total time between 8 a.m. to 6 p.m is 10 hours. The company starts producing at 8 am, therefore the time from 8 am to noon (that is 12 p.m) is 4 hours.
Since clients demand 100,000 gallons of milk over the course of one day, the demand of milk per hour = total demand per day/ total time per day
Demand per hour = 100000 gallons / 10 hours = 10000 gallons per hour
Since the milk is processed at a fixed rate of 7500 gallons/hour, At noon the amount of of milk produced = 7500 gallons/hour × 4 hours = 30000 gallons.
The gallons of milk are in the queue to be processed at noon = 100000 gallons - 30000 gallons = 70000 gallons
Answer:
D. 119
Step-by-step explanation:
To find the common difference, we take the second term and subtract the first term
2-(-7) = 9
We check by taking the third term and subtracting the second
11-2 = 9
The common difference is 9
The formula for an arithmetic sequence is
an = a1 +d(n-1)
where a1 is the first term, d is the common difference and n is the number of the term in the sequence
a1=-7, d=9 and we are looking for the 15th term so n=15
a15 = -7 +9(15-1)
a15 = -7+9(14)
=-7 +126
= 119
Answer:
$13.14
Step-by-step explanation:
60 mi/1 hour = x mi/1.5 hours
x = 90 mi to drive to work
25 mi/1 gallon = 90 mi/y gallons
y = 3.6 gallons to get to work
$3.65/1 gallon = $z/3.6 gallons
z = $13.14
Answer:
(123-55) / 8.5
I think that should be correct.
Step-by-step explanation:
