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.
Thirty-six thousand, nine hundred eighty-five
- 2(x + 7)
mutiply the bracket by -2
(-2)(x)= -2x
(-2)(7)= -14
Answer:
-2x-14
X would be 0.5. Hope this helped
<h3><u>The length is equal to 13.</u></h3><h3><u>The width is equal to 8.</u></h3>
l = 2w - 3
2l + 2w = 42
Because we have a value for l, we can plug it into the second equation to solve for w.
2(2w - 3) + 2w = 42
Distributive property.
4w - 6 + 2w = 42
Combine like terms.
6w - 6 = 42
Add 6 to both sides.
6w = 48
Divide both sides by 6.
w = 8
Now that we have a value for w, we can solve for the exact value of l.
l = 2(8) - 3
l = 16 - 3
l = 13
