Answer:
3 gallons
Step-by-step explanation:
Let
x ----> the amount of pure acid (100% solution) in gallons
Remember that
![100\%=100/100=1](https://tex.z-dn.net/?f=100%5C%25%3D100%2F100%3D1)
![20\%=20/100=0.20](https://tex.z-dn.net/?f=20%5C%25%3D20%2F100%3D0.20)
![60\%=60/100=0.60](https://tex.z-dn.net/?f=60%5C%25%3D60%2F100%3D0.60)
we know that
![(1)(x)+(0.20)(3)=(0.60)(x+3)](https://tex.z-dn.net/?f=%281%29%28x%29%2B%280.20%29%283%29%3D%280.60%29%28x%2B3%29)
solve for x
![x+0.60=0.60x+1.80](https://tex.z-dn.net/?f=x%2B0.60%3D0.60x%2B1.80)
![x-0.60x=1.80-0.60\\0.40x=1.20\\x=3\ gal](https://tex.z-dn.net/?f=x-0.60x%3D1.80-0.60%5C%5C0.40x%3D1.20%5C%5Cx%3D3%5C%20gal)
therefore
3 gallons of pure acid should be mixed with 3 gallons of a 20% acid solution in order to get a 60% acid solution
If a 15 lbs dog eats................................17/8 cups of food
a 34 lbs dog will eat,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,? cups
(34 * 17/8)/15=(34*17)/(15*8)=289/15= 19 4/15 cups of food
Answer: ![14.07\ m](https://tex.z-dn.net/?f=14.07%5C%20m)
Step-by-step explanation:
Given
Max is driving at a speed of ![42\ mph](https://tex.z-dn.net/?f=42%5C%20mph)
It took him three-quarters of a second i.e. ![0.75\ s](https://tex.z-dn.net/?f=0.75%5C%20s)
Speed in meter per second is ![18.77\ m/s](https://tex.z-dn.net/?f=18.77%5C%20m%2Fs)
Distance is given by
![d=v\times t](https://tex.z-dn.net/?f=d%3Dv%5Ctimes%20t)
Reaction distance is
![d=18.77\times 0.75=14.07\ m](https://tex.z-dn.net/?f=d%3D18.77%5Ctimes%200.75%3D14.07%5C%20m)
Answer:
x+55=2x-15 [being corresponding angle
55-15=2x-x
40=x
A triangles three angles always sum up to 180 degrees. We must find angle B.
We already have angle A and C, so it's quite simple.
Angle A is 28*, and angle C is 36*
We add these two together
28 + 36 = 64
Now we subtract
180 - 64 = 116
Angle B = 116*
Hope this helps you! (:
-Hamilton1757