This problem involves two unknowns, thus, it can be solved using two independent equations. We first assign a variable for each real number.
Let:
x = first real number
y = second real number
Two independent equations must then be set up which will come from the problem statement. The first equation is obtained from the statement that the average of the two real numbers is 41.375. The second equation then shows that the product of the two real numbers is equal to 1668. The equations are then:
(1) (x + y)/2 = 41.375
(2) x*y = 1668
We then express the variable y in terms of x, such that, y = 1668/x. This is then applied in equation 1 in order to have only a single variable in the equation. After doing mathematical operations, x is then calculated to be 34.75. This value of x is then substituted in the second equation to obtain y. Finally, the two real numbers have been determined to be x = 34.75 and y = 48.
Answer:
c(h) = 50 +10h
c(4) = 90 . . . . . it costs $90 to rent the truck for 4 hours
Step-by-step explanation:
The problem statement tells you the total charge is the sum of $50 and a charge of $10 per hour. That is, for h hours, the total charge is ...
c = 50 + 10h
In functional form, this is ...
c(h) = 50 +10h . . . . . . total charger for a rental of h hours
__
The function value with an input of 4 is ...
c(4) = 50 +10·4
c(4) = 90
Since the input is the number of hours of rental, and the function value is the total charge, this represents the total charge for a rental of 4 hours.
Simplify 2.8y + 6 + 0.2y to 3y + 6
subtract 3y from both sides
simplify 5y - 15 - 3y to 2y - 15
add 15 to both sides
simplify 6 + 15 to 21
divide both sides by 2
switch sides
Answer: y = 21/2
*in decimal form this would be 10.5
Answer:
Choice A, 20(3n-m)
Step-by-step explanation:
First, lets combine like terms for the question 54n - 20m + 6n,
60n - 20m.
Next, lets rule out the choices that are visibly wrong. This includes Choice B, because it wouldn't equal what is above and Choice C, as it ignores unlike terms.
Now, it is down to Choices A and D. Let's use the distributive property to simplify these options.
Choice A:
20(3n-m)
60n-20m
Choice D:
20(m-3n)
20m-60m
With this, it can be concluded that the correct answer is Choice A since it equals 60n-20m, which is equal to the original question when like terms are combined.