Let's call his secret number 'M' (for mystery-number).
multiplied it by 5 . . . 5M
subtracted 16 from the result . . . 5M - 16
adds 10 to the number . . . M + 10
multiplies that result by 3 . . . 3(M+10)
Both processes produce the same results:
5M - 16 = 3 (M + 10)
Eliminate parentheses
on the right side: 5M - 16 = 3M + 30
Subtract 3M
from each side: 2M - 16 = 30
Add 16 to each side: 2M = 46
Divide each side by 2 : M = 23
3/7 + 2/7 = 5/7
5/7 = h/14
5/7 x 2 = 10/14
10/14 = h/14
h = 10
She spends $50.86.
Cost for 1 yard of fabric is $8.98.
So to find the the cost of 5 yards of fabric, multiply $8.98 x 5 = $44.9. Therefore for the 5 yards of fabric she paid $44.9.
To find how much she paid for 2 spools of thread subtract the amount she spent at the craft store and the cost for the 5 yards of fabric.
&50.86 - $44.9 = $5.96.
Therefore the cost of 2 spool of thread is $5.96 / 2 = $2.98
Therefore the cost of 1 spool of thread is $2.98.
To check if it’s correct just add the cost of the 5 yards of fabric and the 2 spools of thread.
$44.9 + $5.96 = $50.86
Answer:
x = 2x
x + 20 = 2x + 20
And,
1.5(x + 20) = 2x + 20
x = 20 i.e. Alexis
And, Jelani be 40
Step-by-step explanation:
Given that
Jelani has twice as much as Alexis
And, both can added $20
Jelani will have 1.5 times as much on his pass on Alexis
We need to write an equation also the amount does Jelani and Alexis have
So,
Let us assume the alexis be x
And, Jelani be 2x
Now
x = 2x
x + 20 = 2x + 20
And,
1.5(x + 20) = 2x + 20
1.5x + 30 = 2x + 20
-0.5x = -10
x = 20 i.e. Alexis
And, Jelani be 40
A) Composite function that represents how many flowers Iris can expect to bloom over a certain number of weeks is f[s(w)] = 50w + 25.
B) The unit of measurement for the composite function is flowers.
C) Number of the flowers for 30 weeks will be 1525.
<h3>What is a composite function?</h3>
A function is said to be a composite function when a function is written in another function. The composite function that represents the number of flowers is f[s(w)] = 50w + 25. and the number of flowers for 30 weeks is 1525.
Part A: Write a composite function that represents how many flowers Iris can expect to bloom over a certain number of weeks.
From the given data we will find the function for the number of flowers with time.
f(s) = 2s + 25
We have s(w) = 25w
f[(s(w)]=2s(w) + 25
f[(s(w)] = 2 x ( 25w ) +25
f[s(w)] = 50w + 25.
Part B: What are the units of measurement for the composite function in Part A
The expression f[s(w)] = 50w + 25 will give the number of the flowers blooming over a number of the weeks so the unit of measurement will be flowers.
Part C: Evaluate the composite function in Part A for 30 weeks.
The expression f[s(w)] = 50w + 25 will be used to find the number of flowers blooming in 30 weeks put the value w = 30 to get the number of the flowers.
f[s(w)] = 50w + 25.
f[s(w)] = (50 x 30) + 25.
f[s(w)] = 1525 flowers.
Therefore the composite function is f[s(w)] = 50w + 25. unit will be flowers and the number of flowers in 30 weeks will be 1525.
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