Answer:
see explanation
Step-by-step explanation:
Given x varies directly as y then the equation relating them is
x = ky ← k is the constant of variation
To find k use the condition x = 9 when y = 4
k = 
= 
= 2.25
x = 2.25y ← equation of variation
When y = 8, then
x = 2.25 × 8 = 18
Answer:
x=5.2
Step-by-step explanation:
8x−14=7.7x+3x
Step 1: Simplify both sides of the equation.
8x−14=7.7x+3x
8x+−14=7.7x+3x
8x−14=(7.7x+3x)(Combine Like Terms)
8x−14=10.7x
8x−14=10.7x
Step 2: Subtract 10.7x from both sides.
8x−14−10.7x=10.7x−10.7x
−2.7x−14=0
Step 3: Add 14 to both sides.
−2.7x−14+14=0+14
−2.7x=14
Step 4: Divide both sides by -2.7.
−2.7x
/−2.7 =
14
/−2.7
x=−5.185185 or 5.2
All work is show in the picture below.
First you would have to turn the mixed number into a improper fraction. to do that you would have to multiply the denominator by the 1 (which is the whole number) to get 3*1=3 then you would have to add the numerator to get 3+2=5. now you have an improper fraction which is now 5/3. you always keep the denominator the same. next you have to multiply the two fractions you now have. which is 5 over 3 and 3 over 4 . all you have to do is multiply across to get 5*3=15 on the top and 3*4=12 on the bottom. so your new fraction you have is 15/12. that's an improper fraction so you would have to divide 12 by 15. you know 12 goes into 15 one time with a remainder of 3. so now you have 1 3/12 as your answer. but your not done yet. now you have to simplify your answer by dividing the numerator and denominator by 3 to get 3/3=1 and 12/3=4, you final answer should be 1 1/4 .
