The question says the machine uses up m gallons of oil each hour on weekends.
This means that if the machine works for 24 hours each day, it implies that:
There are only two days on weekends i.e. Saturday and Sunday.
This means that if the amount of oil used in 1 day in the weekend is 24m, then we can say:
Saturday: oil used is 24m
Sunday: oil used is 24m
Total oil used during the weekend is:
//Add 6 to both sides:
//Multiply by -1 on both sides:
Multiply by 3 on both sides:
Divide by 4 on both sides:
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Answer: x = 15 (Answer C)-----------------------------------------
A function assigns the value of each element of one set to the other specific element of another set. The total amount of credit cards opened at the two locations is given as 45+3t.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
Given that the number of credit cards, A, that is opened t months since January can be modeled by the function A(t) = 20 + 4t, while the number of credit cards opened at another location, B, is defined by the function B(t)=25−t.
Now, the total number of credit cards that are opened at both the location together will be,
Total number of credit cards = A(t) + B(t)
= 20 + 4t + 25 - t
= 20 + 25 + 4t - t
= 45 + 3t
Hence, the total amount of credit cards opened at the two locations is given as 45+3t.
Learn more about Function here:
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Answer:
V = 408 cm cubed
SA = 558 cm squared
Step-by-step explanation:
To find the volume of a prism, multiply the area of the base by the height. This is 1/2 times width times height times length.
V =1/2 l*w*h =1/2* 6*8*17 = 408
To find the surface area of a prism, find the area of the triangular base and the area of each rectangular side.
Area of the base is A = 1/2 * b*h = 1/2 * 6 * 8 = 24. Since there are 2 bases, the area is 48.
Area of the rectangular side is A = b*h = 17*10 = 170. Since there are three, the area is 3*170 = 510.
The surface area of the prism is 48 + 510 = 558.
