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makvit [3.9K]
2 years ago
6

The functions q and r are defined as follows.

Mathematics
1 answer:
Harrizon [31]2 years ago
5 0
G(2)= -2-2
g(2)= -4

r(g(2))= r(-4)
r(-4)= 2(-4)^2 -1
r(-4)= 31
ANSWER=31
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I'm assuming the pail holds 6 3/4 (not 634) gallons of water.


1 gallon= 16 cups


Multiply total gallons by cups per 1 gallon.

= 6 3/4 cups * 16 cups/gallon
convert mixed number to improper fraction

= 27/4 * 16
multiply numerators

= (27*16)/4
multiply in parentheses

= 432/4

= 108 cups


ANSWER: There are 108 cups

Hope this helps! :)
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Step-by-step explanation:

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3 years ago
Celeste is making fruit baskets for a local hospital. The directions say to use 5 apples for every 6 oranges. Celeste is filling
MariettaO [177]

Answer:

A. Equivalent ratios of 5:6

We multiply both the numerator and the denominator by the same number, this way:

<u>10:12 , 15:18, 20:24, 25:30</u>

B. Equivalent ratios of 2:3

We multiply both the numerator and the denominator by the same number, this way:

<u>4:6 , 6:9, 8:12, 10:15, 12:18</u>

C. We have the same number of oranges at:

<u>10:12 and 8:12</u>

<u>15:18 and 12:18</u>

<u>Like Celeste decided not to follow the directions, she's actually using less apples than expected to fill the baskets.</u>

Step-by-step explanation:

1. Let's check all the information provided to answer the question correctly:

Ratio that the local hospital say to Celeste to use : 5 apples for every 6 oranges

Ratio that Celeste is actually using: 2 apples for every 3 oranges

2.  Complete the tables to find equivalent ratios.

A. Equivalent ratios of 5:6

We multiply both the numerator and the denominator by the same number, this way:

10:12 , 15:18, 20:24, 25:30

B. Equivalent ratios of 2:3

We multiply both the numerator and the denominator by the same number, this way:

4:6 , 6:9, 8:12, 10:15, 12:18

3. Circle two columns, one in each table, in which the number of oranges is the same.

We have the same number of oranges at:

10:12 and 8:12

15:18 and 12:18

Like Celeste decided not to follow the directions, she's actually using less apples than expected to fill the baskets.

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kakasveta [241]

Answer:

9

Step-by-step explanation:

3/8 of 24 is 9

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3 years ago
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