so a box will be a rectangular prism, and thus its volume will simply be the product of its length, width and height.
let's firstly convert the mixed fractions to improper fractions and the multiply.
![\bf \stackrel{mixed}{1\frac{2}{3}}\implies \cfrac{1\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{5}{3}}~\hfill \stackrel{mixed}{2\frac{1}{3}}\implies \cfrac{2\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{7}{3}} \\\\[-0.35em] ~\dotfill\\\\ \textit{volume of a rectangular prism}\\\\ V=Lwh~~ \begin{cases} L=\frac{7}{3}\\ w=2\\ h=\frac{5}{3} \end{cases}\implies V=\cfrac{7}{3}\cdot 2\cdot \cfrac{5}{3}\implies V=\cfrac{70}{9}\implies V=7\frac{7}{9}](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7Bmixed%7D%7B1%5Cfrac%7B2%7D%7B3%7D%7D%5Cimplies%20%5Ccfrac%7B1%5Ccdot%203%2B2%7D%7B3%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B5%7D%7B3%7D%7D~%5Chfill%20%5Cstackrel%7Bmixed%7D%7B2%5Cfrac%7B1%7D%7B3%7D%7D%5Cimplies%20%5Ccfrac%7B2%5Ccdot%203%2B1%7D%7B3%7D%5Cimplies%20%5Cstackrel%7Bimproper%7D%7B%5Ccfrac%7B7%7D%7B3%7D%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ctextit%7Bvolume%20of%20a%20rectangular%20prism%7D%5C%5C%5C%5C%20V%3DLwh~~%20%5Cbegin%7Bcases%7D%20L%3D%5Cfrac%7B7%7D%7B3%7D%5C%5C%20w%3D2%5C%5C%20h%3D%5Cfrac%7B5%7D%7B3%7D%20%5Cend%7Bcases%7D%5Cimplies%20V%3D%5Ccfrac%7B7%7D%7B3%7D%5Ccdot%202%5Ccdot%20%5Ccfrac%7B5%7D%7B3%7D%5Cimplies%20V%3D%5Ccfrac%7B70%7D%7B9%7D%5Cimplies%20V%3D7%5Cfrac%7B7%7D%7B9%7D)
129
Find 10% (30) then times by 4 to find 40% (120)
Find 1% (3) then times by 3 to find 3% (9)
Add the 40% to the 3% (120 + 9)
= 129
The value of x when f(x) = -4 is 3
<h3>How to solve the function?</h3>
The function is given as:
f(x) = -3x + 5
When f(x) = -4, we have:
-4 = -3x + 5
Subtract 5 from both sides
-3x = -9
Divide both sides by -3
x = 3
Hence, the value of x when f(x) = -4 is 3
Read more about functions at:
brainly.com/question/4025726
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You can set up two equations from the information given. I will set them up for you:
32 = 4x + 2y
36 = 5x + 2y
Let's solve the first equation to come up with a value for y.
32 = 4x + 2y
32 - 4x = 2y
16 - 2x = y
Now we plug y into the other equation.
36 = 5x + 2(16-2x)
36 = 5x + 32 - 4x
4 = x
Now we have our real x value and we can plug it into the first equation.
32 = 4(4) + 2y
32 = 16 + 2y
16 = 2y
8 = y
Since x = 4 and y = 8, you get the final coordinates of (4,8).
Your answer is the second statement provided above.
60 min = 1 hour
1st we need to know how many times 20 goes in 60 so we will divide.
60 ÷ 20 = 3
Now we will multiply to find the trains speed in miles per hour.
3 × 25 = 75
SO, the train travels 75 miles per hour.
Hope I helped ya!!
