<em><u>Answer:</u></em>
1/2
1/3
6
1/6
<em><u>Step-by-step explanation:</u></em>
When we are finding the opposite of a scale factor, the scale factor is always the reciprocal. E.g. From S to R, the scale factor is 3, so from R to S, the scale factor is 1/3 so:
1. From T to S, it's the reciprocal of the scale factor (2) so 1/2
2. From S to R, it's the reciprocal of the scale factor (3) so 1/3
3. From R to T, is the from a figure to a figure to a figure so we can multiply the two scale factors (2 and 3) to get 6
4. From T to R, that's the opposite of R to T, so it's the reciprocal of the scale factor from R to T (6) so 1/6
You would then move the decimal how many places you were given
<h3><u>Question:</u></h3>
Denzel earned money after school. He put 1/2 of this month's earnings into savings. He took the rest to spend at the amusement park. He spent 1/5 of this amount on popcorn and 3/4 of it on rides. What fraction of his earnings did he take to the park but not spend on rides or popcorn.
<h3><u>Answer:</u></h3>
fraction of money not spend in amusement park
<h3><u>Solution:</u></h3>
Let "x" be the total earnings
He put 1/2 of this month's earnings into savings
He took the rest to spend at the amusement park
He spent 1/5 of this amount on popcorn and 3/4 of it on rides
<em><u>So the fraction of money not spend in amusement park is:</u></em>
⇒ Remaining amount - (Amount spend on popcorn + amount spend on rides)
Thus fraction of money not spend in amusement park
We will take the volume of each box separately to find the difference between them.
We have then that the volume of the boxes is:
V = (L) * (W) * (h)
Where,
L: long
W: width
h: height
The smaller box:
V1 = (12) * (2) * (7 3/4)
V1 = 186 in ^ 3
the lager box:
V2 = (12) * (2) * ((7 3/4) * (100/80))
V2 = 232.5 in ^ 3
The difference is:
V2-V1 = 232.5 in ^ 3 - 186 in ^ 3 = 46.5 in ^ 3
Answer:
The difference in the volumes of the two boxes is:
46.5 in ^ 3
We want to find an inequality that says how many outfits Samantha could buy.
The solution is x ≤ 2
We know that she has $600 to spend.
She already spent:
- $392.25 in her bicycle
- 3 bicycle reflectors for $7.01 each, so the total is: 3*$7.01 = $21.03
- $34.96 in a pair of gloves.
The total amount she already spent is:
$392.25 + $21.03 + $34.96 = $448.24
The <u>amount of money that she has left</u> is:
$600 - $448.24 = $151.76
Ok, now we know that each outfit costs $75.88
So the price of x of these will be x times $75.88
price = $75.88*x
This must be equal or smaller than the amount of money that she has left:
$75.88*x ≤ $151.76
x ≤ $151.76/$75.88 = 2
x ≤ 2
This is the inequality that represents the number of outfits that she can buy.
If you want to learn more, you can read:
brainly.com/question/20383699
