Answer:
Yes, Kreider has enough paint.
Step-by-step explanation:
We have been given Mr. Kreider wants to paint two doors and several shutters.
First of all, we will find the amount needed to paint 2 doors and several shutters as:
![2\frac{1}{8}+2\frac{1}{8}+1\frac{3}{5}](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B8%7D%2B2%5Cfrac%7B1%7D%7B8%7D%2B1%5Cfrac%7B3%7D%7B5%7D)
Convert mixed fraction into improper fraction:
![2\frac{1}{8}\Rightarrow \frac{2\times 8+1}{8}=\frac{16+1}{8}=\frac{17}{8}](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B8%7D%5CRightarrow%20%5Cfrac%7B2%5Ctimes%208%2B1%7D%7B8%7D%3D%5Cfrac%7B16%2B1%7D%7B8%7D%3D%5Cfrac%7B17%7D%7B8%7D)
![1\frac{3}{5}\Rightarrow \frac{1\times 5+3}{5}=\frac{5+3}{5}=\frac{8}{5}](https://tex.z-dn.net/?f=1%5Cfrac%7B3%7D%7B5%7D%5CRightarrow%20%5Cfrac%7B1%5Ctimes%205%2B3%7D%7B5%7D%3D%5Cfrac%7B5%2B3%7D%7B5%7D%3D%5Cfrac%7B8%7D%7B5%7D)
![2\frac{1}{8}+2\frac{1}{8}+1\frac{3}{5}\Rightarrow\frac{17}{8}+\frac{17}{8}+\frac{8}{5}](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B8%7D%2B2%5Cfrac%7B1%7D%7B8%7D%2B1%5Cfrac%7B3%7D%7B5%7D%5CRightarrow%5Cfrac%7B17%7D%7B8%7D%2B%5Cfrac%7B17%7D%7B8%7D%2B%5Cfrac%7B8%7D%7B5%7D)
![\frac{17+17}{8}+\frac{8}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B17%2B17%7D%7B8%7D%2B%5Cfrac%7B8%7D%7B5%7D)
![\frac{34}{8}+\frac{8}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B34%7D%7B8%7D%2B%5Cfrac%7B8%7D%7B5%7D)
Make a common denominator:
![\frac{34*5}{8*5}+\frac{8*8}{5*8}](https://tex.z-dn.net/?f=%5Cfrac%7B34%2A5%7D%7B8%2A5%7D%2B%5Cfrac%7B8%2A8%7D%7B5%2A8%7D)
![\frac{170}{40}+\frac{64}{40}](https://tex.z-dn.net/?f=%5Cfrac%7B170%7D%7B40%7D%2B%5Cfrac%7B64%7D%7B40%7D)
Combine numerators:
![\frac{170+64}{40}](https://tex.z-dn.net/?f=%5Cfrac%7B170%2B64%7D%7B40%7D)
![\frac{234}{40}](https://tex.z-dn.net/?f=%5Cfrac%7B234%7D%7B40%7D)
![5\frac{34}{40}](https://tex.z-dn.net/?f=5%5Cfrac%7B34%7D%7B40%7D)
![5\frac{17}{20}](https://tex.z-dn.net/?f=5%5Cfrac%7B17%7D%7B20%7D)
![5.85](https://tex.z-dn.net/?f=5.85)
Amount of paint Mr. Kreider has: ![3\times 2\text{ gallons}=6\text{ gallons}](https://tex.z-dn.net/?f=3%5Ctimes%202%5Ctext%7B%20gallons%7D%3D6%5Ctext%7B%20gallons%7D)
Since amount needed for two doors and several shutters is 5.85 gallons and Mr. Kreider has 6 gallons of paint, therefore, Kreider has enough paint.
This can be solved using a proportion:
5 peanuts / 2 cashews = 175 peanuts / x
Solve by cross multiplying
5(x) = 2(175) Simplify
5x=350 Divide both sides by 5
5x/5=350/5 Simplify
x = 70 cashews in the can with 175 peanuts
Answer:
20 miles in an hour.
Step-by-step explanation:
4/5=0.8
16/0.8=x/1
cross product
0.8*x=16*1
0.8x=16
x=16/0.8
x=20
Unfortunately, Tashara, you have not provided enuf info from which to calculate the values of a and b. If you were to set <span>F(x)=x(x+a)(x-b) = to 0, then:
x=0,
x=-a
x=-b
but this doesn't answer your question.
Double check that you have shared all aspects of this question.</span>