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Svetlanka [38]
3 years ago
13

Kerri went shopping for her birthday party and bought seven 2-liter bottles of soda. If only five bottles of soda were consumed

at her party, how many liters of soda does she have left?
Mathematics
1 answer:
alexira [117]3 years ago
7 0

Answer:

4 liters

Step-by-step explanation:

2 bottles of soda are left

each bottle of soda has 2 liters

so 2 x 2 =4

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A net of a storage trunk is shown. Which is the trunk's surface area?
Readme [11.4K]
3,680 sq. in.

(36*20)*4= 2880
(20*20)*2= 800
8 0
2 years ago
1. Let f(x) = x + 3 and g(x) = 3x + 5. Find f(g(4)) - g(f(4)) 2. Let f(x) = 5x^2 - 5. What is f(f(x))? 3. Let f(g(x)) = 3x + 3 a
ludmilkaskok [199]

Answer:

1. f(g(4)) - g(f(4)) = -6

2. f(f(x)) = 125x^4 - 250x^2 + 120

3. a + b = 0

4. g(4) = -9

Step-by-step explanation:

1.

First we need to find f(4) and g(4):

f(4) = 4 + 3 = 7

g(4) = 3*4 + 5 = 17

Then, we find g(f(4)) = g(7):

g(7) = 3*7 + 5 = 26

And we find f(g(4)) = f(17):

f(17) = 17 + 3 = 20

so f(g(4)) - g(f(4)) = 20 - 26 = -6

2.

To find f(f(x)), we use the value of f(x) for every x in f(x):

f(f(x)) = 5*(f(x))^2 - 5 = 5*(5x^2 - 5)^2 - 5 = 5*(25x^4 - 50x^2 + 25) - 5

f(f(x)) = 125x^4 - 250x^2 + 120

3.

To find f(g(x)), we use the value of g(x) for every x in f(x):

f(g(x)) = g(x) + 6 = ax + b + 6 = 3x + 3

ax + (b+6) = 3x + 3 -> a = 3 and b = -3

a + b = 3 - 3 = 0

4.

If we assume g(x) = ax + b, we have:

g(f(x)) = a*(2x - 3) + b = 2ax - 3a + b = 5 - 4x

2a = -4 -> a = -2

-3a + b = 5

6 + b = 5 -> b = -1

g(x) = -2x - 1

g(4) = -2*4 - 1 = -9

7 0
3 years ago
Sally is planning the school picnic and needs to decide what food vendor to use. She asks 250 students whether they would rather
Oksana_A [137]

Answer:

0.18

Step-by-step explanation:

The relative frequency of eight graders who want fruit smoothie :

Number of eight graders who want fruit smoothie / total number of students surveyed

= 45 / 250

= 0.18

6 0
2 years ago
Between which pair of numbers is the exact product of 379 and 8 ?
ella [17]
387 

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3 years ago
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Put this into a scientific calculator
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