Answer:
- drinks: $0.55
- pizza slices: $0.75
Step-by-step explanation:
Let d represent the cost of a drink, and p represent the cost of a pizza slice. Then the two purchases can be represented by ...
- 4d +6p = 6.70
- 3d +4p = 4.65
To solve these equations by elimination, choose a variable to eliminate and look at the coefficients of that in the two equations. If we choose to eliminate p, we see the coefficients of p are 6 and 4. The least common multiple of these numbers is 12. We can multiply the first equation by -2 and the second equation by +3 and the resulting coefficients of p will be -12 and +12. Adding the results of these multiplications will make the p terms add to zero.
-2(4d +6p) +3(3d +4p) = -2(6.70) +3(4.65)
-8d -12p +9d +12p = -13.40 +13.95 . . . . . . . . . eliminate parentheses
d = 0.55 . . . . . . . . . collect terms
Now, we can substitute this value into either equation to find the value of p. Using the first equation, we get ...
4(0.55) +6p = 6.70
6p = 4.50 . . . . . . . . . subtract 2.20
p = 0.75 . . . . . . . . . . divide by 6
The cost of a drink is $0.55; the cost of a slice of pizza is $0.75.
Answer:
x = 21
Step-by-step explanation:
corresponding sides in similar polygons are proportional:
set a proportion: BC/FK = CA/KJ => 18/6 = x/7 => x = 18 × 7 ÷ 6 = 21
Answer:
Part A. After 7 hours the amount charged will be the same
Part B. The cost of renting the bike for that many hours (7) will be 60$.
Step-by-step explanation:
5h + 25 = 6h + 18
5h - 6h = 18 - 25
-h = -7
h = -7/-1
h = 7
Company A.
y = 5h + 25
y = (5*7) + 25
y = 35 + 25
y = 60
Company B.
y = 6h + 18
y = (6*7) + 18
y = 42 + 18
y = 60
Answer:
What is the question?
Step-by-step explanation:
Answer:
Step-by-step explanation:
Compare the equation with y = mx + b where m is slope and b is y intercept
y = (5/4)x - (7/4)
Slope = m = 5/4
