First place: Liz
Faster: Amanda
Longest time: Steve
Answer:
The answers to each part are:
Part A.
- <u>The quantity of apples is one-third of the quantity of grapes</u>.
Part B.
- <u>The quantity of apples is a quarter of the quantity of strawberries</u>.
Part C.
- <u>The number of cherries is two-elevenths of the total fruit</u>.
Step-by-step explanation:
To identify the answer in each case, you must remember that all the parts are equal, then:
Part A.
The parts of apples are 1 and the parts grapes are 3, so if you divide the first quantity with the second quantity you obtain:
So, <u>the quantity of apples is one-third of the quantity of grapes</u> or the quantity of apples is three times smaller than the quantity of grapes.
Part B.
The parts of apples are 1 and the parts of strawberries are 4, then you must divide the first quantity with the second quantity:
In this case, <u>the quantity of apples is a quarter of the quantity of strawberries</u> or the quantity of apples is four times smaller than the quantity of strawberries.
Part C.
First, you must add all the part of fruit:
- <em>1 part apple</em>
- <em>1 part orange</em>
- <em>4 parts strawberry</em>
- <em>2 parts cherry </em>
- <em>3 parts grape</em>
The total of fruits is 11 parts, taking into account the quantity of cherries is 2, now you can divide the number of cherries with the total parts of fruit:
- 2 / 11 = 2/11 (two-elevenths)
Now, you can see <u>the number of cherries is two-elevenths of the total fruit</u>.
Answer:
Yes, it is possible for Suri and Juan to make the same amount of wages if they both work 25 hours in one week.
Step-by-step explanation:
Let x = number of hours worked
Let y = total wages earned
Suri: 15x + 25 = y
Juan: 14x + 50 = y
Equate equations and solve for x:
15x + 25 = 14x + 50
Subtract 14x from both sides: x + 25 = 50
Subtract 25 from both sides: x = 25
Yes, it is possible for Suri and Juan to make the same amount of wages if they both work 25 hours in one week.
Answer:
T'(4, -2)
Step-by-step explanation:
Rotation 180° about the origin (same as reflection across the origin) negates both coordinates:
T' = -T = -(-4, 2)
T' = (4, -2)