Answer:
![2\frac{2}{3}](https://tex.z-dn.net/?f=2%5Cfrac%7B2%7D%7B3%7D)
Step-by-step explanation:
1) Convert
to improper fraction. Use this rule:
.
![\frac{4\times3+1}{3} -1\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5Ctimes3%2B1%7D%7B3%7D%20-1%5Cfrac%7B2%7D%7B3%7D)
2) Simplify 4 * 3 to 12.
![\frac{12+1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B12%2B1%7D%7B3%7D)
3) Simplify 12 + 1 to 13.
![\frac{13}{3} -1\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B3%7D%20-1%5Cfrac%7B2%7D%7B3%7D)
4) Convert
to improper fraction. Use this rule:
.
![\frac{13}{3} -\frac{1\times3+2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B3%7D%20-%5Cfrac%7B1%5Ctimes3%2B2%7D%7B3%7D)
5) Simplify 1 * 3 to 3.
![\frac{13}{3} -\frac{3+2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B3%7D%20-%5Cfrac%7B3%2B2%7D%7B3%7D)
6) Simplify 3 + 2 to 5.
![\frac{13}{3} -\frac{5}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B3%7D%20-%5Cfrac%7B5%7D%7B3%7D)
7) Join the denominators.
![\frac{13-5}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B13-5%7D%7B3%7D)
8) Simplify.
![\frac{8}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B3%7D)
9) Convert to mixed fraction.
![2\frac{2}{3}](https://tex.z-dn.net/?f=2%5Cfrac%7B2%7D%7B3%7D)
(Decimal Form: 2.666667)
Thank you,
Eddie
Answer: Anna could buy 5 sweatshirts for $75.
Step-by-step explanation:
lets figure out the price of one sweatshirt.
45/3 = 15
one sweatshirt is $15
5*15=75
so 5 sweatshirts cost $75
Answer:
0.4 km : 400m
Step-by-step explanation:
400m to km = 0.4
Answer:
The sides of the original rectangular prism have been increased by a scale factor of 4
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z----> the scale factor
x---> volume of the increased rectangular prism
y---> volume of the original rectangular prism
![z^{3}=\frac{x}{y}](https://tex.z-dn.net/?f=z%5E%7B3%7D%3D%5Cfrac%7Bx%7D%7By%7D)
substitute
![z^{3}=\frac{3,456}{54}=64](https://tex.z-dn.net/?f=z%5E%7B3%7D%3D%5Cfrac%7B3%2C456%7D%7B54%7D%3D64)
-----> the scale factor
therefore
The sides of the original rectangular prism have been increased by a scale factor of 4