Multiply each of the fractions by 1 to get them to have the same denominator.
1/4 x 3/3 = 3/12
1/3 x 4/4 = 4/12
New Equation:
3/12a + 4/12a + 8 = 22
now add up similar terms
7/12a + 8 = 22
subtract 8
7/12a = 14
multiply each side by your denominator
12(7/12)a=12(14)
7a=168
divide by 7
a = 24
Answer: -1
Step-by-step explanation:
If k is equal to negative one then we can input it into it for the exponent and solve.
If multiplying exponents and they have the same base then you will just add the exponents and let the exponents stay the same.
The exponents are -3,1, and -1 add them.
-3 + 1 - 1 = -3
The base is 10 so we will raise 10 to the negative 3rd power.
Answer:
(2,5) instead of rotating 270 degrees you could rotate 90 degrees clockwise the figure is going to end up in quadrant 1 and the numbers stay the same put become positive
Step-by-step explanation:
Answer:
600 miles in a day.
Step-by-step explanation:
Variable x = number of miles
Company A: 140 + 0.80x
Company B: 80 + 0.90x
Set up an equation:
140 + 0.80x = 80 + 0.90x
Isolate variable x:
60 + 0.80x = 0.90x
60 = 0.10x
600 = x
Check your work:
140 + 0.80(600) = 80 + 0.90(600)
140 + 480 = 80 + 540
620 = 620
Correct!
