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.
Fill in x=1.7 gives f(1.7) = 0.5*1.7 ≈ 0.850
Answer:
1600cm³
Step-by-step explanation:
Volume of a cylinder = πr²h
area of a circle = πr²
area of base circle = 200cm²
h = 8
200 * 8
= 1600cm³
Move the negative sign to the left
-x/5 = -20
Multiply both sides by 5
-x = -20 × 5
Simplify 20 × 5 to 100
-x = -100
Multiply both sides by -1
<em>x = 100</em>
<u>C. 100</u>
The scale factor is 5/3
9(5/3) = 15
