Answer:
m = Kw + f
Step-by-step explanation:
Given the literal equation,
:
To solve for m, we can start by multiplying both sides by w to eliminate the denominator of the fraction from the right-hand side:
![K = \frac{m - f}{w}](https://tex.z-dn.net/?f=K%20%3D%20%5Cfrac%7Bm%20-%20f%7D%7Bw%7D)
![K(w) = (\frac{m - f}{w}) (w)](https://tex.z-dn.net/?f=K%28w%29%20%3D%20%28%5Cfrac%7Bm%20-%20f%7D%7Bw%7D%29%20%28w%29)
Kw = m - f
Next, add f to both sides of the equation to solve for m:
Kw + f = m - f + f
Kw + f = m or m = Kw + f
Answer:
packages of marbles.
Step-by-step explanation:
We have been given that Vince needed five eights of a package of marbles for each gift bag. He had to make five gift bags. We are asked to find the number of packages of marbles that Vince needs.
To find the number of packages that Vince needs, we will multiply package needed for each gift with total number of gift packages.
![\text{Number of packages that Vince needs}=\frac{5}{8}\times 5](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20packages%20that%20Vince%20needs%7D%3D%5Cfrac%7B5%7D%7B8%7D%5Ctimes%205)
![\text{Number of packages that Vince needs}=\frac{5\times 5}{8}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20packages%20that%20Vince%20needs%7D%3D%5Cfrac%7B5%5Ctimes%205%7D%7B8%7D)
![\text{Number of packages that Vince needs}=\frac{25}{8}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20packages%20that%20Vince%20needs%7D%3D%5Cfrac%7B25%7D%7B8%7D)
![\text{Number of packages that Vince needs}=3\frac{1}{8}](https://tex.z-dn.net/?f=%5Ctext%7BNumber%20of%20packages%20that%20Vince%20needs%7D%3D3%5Cfrac%7B1%7D%7B8%7D)
Therefore, Vince needs
packages of marbles.
Answer:
102 and 109
Step-by-step explanation:
create an equation to solve:
(x-7) + x = 225
2x -7 = 225
<u> +7 +7</u><u> </u><u> </u> add 7 to both sides
<u>2x</u> = <u>218</u>
2 2 divide both sides by 2
x = 109
<u>109 is the first number</u>
then you solve for the other number
x-7= ?
109 - 7 = 102
<u>102 is the 2nd number</u>
Density = mass / volume
Density = 44,800 kg/ 5m^3
Density = 8,960 km/m^3
<span>In two similar shapes, the ratio of their corresponding sides is called the scale factor. To find the scale factor, find two corresponding sides, one on each shape. Write the ratio of one length to the other to find the scale factor from one shape to the other :) hope this helps! </span>