Answer:
no of movies (m), by Tim = 13
Step-by-step explanation:
Julie payment = constant 70 + 4.25 per additional movie = 70 + 4.25 m
Tim payment = constant 49.5 + 5.5 per additional movie = 49.5 + 5.5 m
Julie order = 12 movies. So, final payment = 70 + 4.25 (12) = 70 + 51 = 121
Equalising Tim's equation, for finding Tim's movies for same final amount , 121 = 49.5 + 5.5 m → 5.5m = 121 - 49.5 = 71.5 → m = 71.5 / 5.5 = 13
Answer:
2x - 5 = 7
2(6) = 12
12 - 5 = 7
He sells 3 plastic
4 plastic wooden frames
3 plastic frames
Step-by-step explanation:
4 plastic wooden frames
3 plastic frames
The answer is: W>-4
I hope this helps
Answer:
3x - 2y = 1
Step-by-step explanation:
Step 1: Find the slope
slope m = (y2 - y1)(/x2 - x1)
m = (4 - 1)/(3 - 1) = 3/2
Step 1: Use the formula y = mx + b to solve
This is slope-intercept form of a line. We have a slope of 3/2, and a point (x, y), which is (1, 1). Plug those values into the equation above and solve for b (the only variable we are missing
1 = (3/2)(1) + b
1 = 3/2 + b
1 - 3/2 = b
2/2 - 3/2 = b
-1/2 = b
Step 2: Rewrite the formula using the slope and the b value we just calculated
y = (3/2)x - 1/2
Step 3: Standard form of a line is ax + by = c, where a is a positive integer, so we rearrange the equation from step 2 to standard form.
y = (3/2)x - 1/2
-(3/2)x + y = -1/2 (subtract (3/2)x from both sides)
-3x + 2y = -1 (multiply by 2 to get rid of the fraction on x)
3x - 2y = 1 (multiply by -1 so a becomes positive)
D=2n: there are twice as many dimes as nickels.
n+d+q=52: a total of 52 coins, using d from above in this gives you:
n+2n+q=52 combine like terms on left side
3n+q=52 subtract 3n from both sides
q=52-3n
Then you are told that the coins have a total value of $6 which is equal to 600 cents. So we can say:
25q+10d+5n=600 divide all terms by 5
5q+2d+n=120, and from earlier we saw q=52-3n and d=2n so you have:
5(52-3n)+2(2n)+n=120 expanding...
260-15n+4n+n=120 combining like terms
260-10n=120 subtract 260 from both sides
-10n=-140 divide both sides by -10
n=14, since q=52-3n and d=2n
q=(52-3(14))=52-42=10
d=2(14)=28
So there are 10 quarters, 28 dimes, and 14 nickels or as your choices put it:
q=10, d=28, n=14 (the correct answer is d.)
