Answer:
10
Step-by-step explanation:
Let's call the four numbers x1, x2, x3, and x4. Their average is (x1 + x2 + x3 + x4)/4 = 8, so x1 + x2 + x3 + x4 = 4 × 8 = 32. And we know that three of the numbers have a sum of 22, so x1 + x2 + x3 = 22.
Subtracting this last equation from the first equation, we have:
So the fourth number is 10.
2 300
5 375
10 500
Using x for the number of months overdue and y for the total amount due, in dollars, construct a linear function that describes the relationship between the number of months the bill is overdue and the total amount due. Enter the equation of the function in the box
The total amount due, in dollars, is an illustration of a linear function
The equation of the function is
Represent the month with x, and the total due with y.
Start by calculating the slope (m) using:
So, we have:
Simplify
Divide 75 by 3
The linear equation is then calculated as:
So, we have:
Open bracket
Add 300 to -50
Hence, the equation of the function is
Read more about linear equations at:
Answer: The answer is 15.
Step-by-step explanation: Given that there are a total of 60 students who signed up for hockey, where there were 3 boys for every 1 girl who signed up. We are to find the number of girls who signed up.
The ratio of the number of boys to the number of girls will be 3 : 1.
Let '3x' and 'x' be the number of boys and number of girls respectively who signed up.
Therefore, we have
Thus, the number of girls is 15.
B. (-3)^2 not congruent to -9
C. 3^2 not congruent to -9
D. (-9)^2 not congruent to -3
Answer:
We need to give the mystery number an easy name so that we can work with it. Let's call it it ' M ' , for 'mystery number'.The number . . . . . . . . . . . . . M3/4 of it . . . . . . . . . . . . . . . . . 3/4 Mthe sum of 3/4 of it and 1 . . . (3/4 M + 1)You said that sum is equal to -5 .OK. The equation we need to solve is 3/4 M + 1 = - 5Subtract 1 from each side: 3/4 M = - 6Multiply each side by 4 : 3 M = -24Divide each side by 3 : M = - 8Does it work ?Check it :-- Assume the mystery number is . . . -8 .-- 3/4 of the number . . . . . . . . . . . . . - 6 .-- sum of 3/4 of the number and 1 . . . -5 <== yay !
Step-by-step explanation: