Answer:
This is the correct way to set up the equation:
9x + 88 + 6x + 182 = 180
I'm going to move some things around so we can combine like terms. It now reads:
9x + 6x + 88 + 182 = 180
9x + 6x = 15x, so the equation now reads:
15x + 88 + 182 = 180
88 + 182 = 270, so the equation reads:
15x + 270 = 180
Subtract the 270 from both sides. 180 - 270 is -90:
15x = -90
Divide both sides by 15. -90 divided by 15 = -6:
x = -6
Now we can substitute -6 back into the separate equations.
9(-6) + 88 = ?
9 times -6 is -54. -54 + 88 = 34.
6(-6) + 182 = ?
6 times -6 = -36. -36 + 182 = 146
Now we can add 34 and 146 together.
34 + 146 = 180
I hope I helped answer your question!
Step-by-step explanation:
Domain: (-infinity, infinity)
All linear equations(unless they have restrictions) will have a domain that goes on forever in both directions of the x-axis
Answer:
a) 18 quarts of sparkling water
b) 1.875 quarts of grape
Step-by-step explanation:
Question 2 Fill in the blanks to complete the sentence.
A recipe for sparkling grape juice calls for 1 1/2 quarts of sparkling water and 3/4 quart of grape juice.
a. How much sparkling water would you need to mix with 9 quarts of grape juice?
3/4 quarts of grape = 1 1/2 quarts sparkling water
9 quarts of grape = x
x = (9 × 1 1/2) ÷ 3/4
x = (9 × 3/2) × 4/3
x = 27/2 × 4/3
x = 18 quarts of sparking water
b. How much grape juice would you need to mix with 15/4 quarts of sparkling water?
1 1/2 quarts of sparkling water = 3/4 quarts of grape
1 5/4 quarts of sparkling water = x
x = (3/4 × 15/4 ) ÷ 1 1/2
x = (0.75 × 3.75 ) ÷ 1.5
x = 1.875 quarts of grape
c. How much of each ingredient would you need to make 100 quarts of punch?
Round your answer to the nearest whole quart. sparkling water: quarts grape juice: quarts
Answer:
all work is pictured and shown
-7 on both sides than divide by -1
X=18