Answer: 12
Step-by-step explanation: Find how many thirds are in 8.
I'll work on the first one soon....
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.
Using proportions, it is found that:
- In an 8-hour day, she keys 48 pages.
- For a day, her gross earnings are of $72.
- For a week, her gross earnings are of 72 x 7 = $504.
<h3>Proportions:</h3>
This question is solved using the proportions given, which are:
- Payment of $1.50 per page of 30 lines.
- Retha keys 6 pages per hour.
Hence, in an 8-hour day, she keys 6 x 8 = 48 pages.
Since she earns $1.50 per page, for a day, her gross earnings are of 48 x 1.5 = $72.
Considering a week has 7 days, for a week, her gross earnings are of 72 x 7 = $504.
To learn more about proportions, you can take a look at brainly.com/question/24372153
