Answer:
2.5 gallons
Step-by-step explanation:
Make the denominators of the fractions the same and combine them
![\frac{1}{3} =\frac{2}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%20%3D%5Cfrac%7B2%7D%7B6%7D)
![\frac{2}{6} +\frac{1}{6} =\frac{3}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B6%7D%20%2B%5Cfrac%7B1%7D%7B6%7D%20%3D%5Cfrac%7B3%7D%7B6%7D)
Then simplify the fraction
![\frac{3}{6} =\frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B6%7D%20%3D%5Cfrac%7B1%7D%7B2%7D)
Then subtract how many gallons you have from how many you want
![3 -\frac{1}{2} = 2\frac{1}{2}](https://tex.z-dn.net/?f=3%20-%5Cfrac%7B1%7D%7B2%7D%20%3D%202%5Cfrac%7B1%7D%7B2%7D)
You will need 2.5 gallons to make 3 gallons
Answer:
a = 8
Step-by-step explanation:
-5(a + 3) = - 55
- 5a - 15 = - 55
55 - 15 = 5a
5a = 40
a = 40 : 5
a = 8
If we distributed through the parenthesis we would have
![y=- \frac{5}{3}x+ \frac{10}{3}](https://tex.z-dn.net/?f=y%3D-%20%5Cfrac%7B5%7D%7B3%7Dx%2B%20%5Cfrac%7B10%7D%7B3%7D%20%20)
. That's choice 2 above. Next thing we could do is to put this into a form that is close to standard form. That means that we lose the denominator of 3 by multiplying everything by 3 to get 3y = -5x + 10, I believe maybe you meant choice 3 to have an x in it. If so, choice 3 works too. Then we will put it into legit standard form and get 5x + 3y = 10, last choice above.
Answer:
Option D (180°-m∠2)
Step-by-step explanation:
we know that
m∠1+m∠2=180° ------> equation A (by supplementary angles)
m∠3+m∠2=180° ------> equation B (by supplementary angles)
m∠1=m∠3 -----> equation C (by vertical angles)
Solve for m∠1 in equation A
m∠1=180°-m∠2
Remember that
m∠1=m∠3
so
m∠3=180°-m∠2
therefore
m∠1=180°-m∠2
m∠3=180°-m∠2
The expression that represent the measure of both angle 1 and angle 3 is
(180°-m∠2)