Answer: $25 spent
Step-by-step explanation: the boy spent $15/total.
15/total=3/8
Divide by common factor: $15/3=$5 (1/8 total money
$5x8=$40
$40-$15=$25 spent
48.5 inches is the answer
Using linear functions, it is found that Rowan and Kennedy will have read the same number of pages in 10 minutes.
What is a linear function?
- A linear function is modeled by:
In which:
- a is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0.
For Rowan, we have that:
- He has already read 20 pages, hence the y-intercept is
.
- He reads 1.5 pages per minute, hence the slope is
Then:
For Kennedy, we have that:
- He has already read 25 pages, hence the y-intercept is
.
- He reads 1 page per minute, hence the slope is
Then:
They will have read the same number of pages after x minutes, for which:
Then:
To learn more about linear function, you can take a look at brainly.com/question/25823744
Answer:
2/5
Step-by-step explanation:
Answer:
Number of $5 bills = 32
Number of $10 bills = 14
Number of $20 bills = 8
Step-by-step explanation:
Let x number of $5, y number of $10 and z number of $20
The number of $5 bills exceeds twice the number of $10 bills by 4.
Therefore, x = 2y + 4
The number of $20 bills is 6 fewer than the number of $10 bills.
Therefore, z = y - 6
A wallet contains $460 in $5, $10, and $20 bills.
Therefore,
5x + 10y + 20z = 460
Substitute x and y into equation
5(2y+4) + 10y + 20(y-6) = 460
10y + 20 + 10y + 20y - 120 = 460
40y - 100 = 460
40y = 460 + 100
40y = 560
y = 14
- Put the value of y into x = 2y + 4 and solve for x
x = 2(14) + 4
x = 32
- Put the value of y into z = y - 6 and solve for z
z = 14 - 6
z = 8
Hence, the each type of bills,
Number of $5 bills = 32
Number of $10 bills = 14
Number of $20 bills = 8
