A case of Mountain Dew (24cans) costs $7.68. What is the unit price?

Answers

Answer 1
Answer: Here are the unit rates involved:

$7.68 / 1 case  =  $7.68 per case

$7.68 / 24 cans  =  $0.32 per can

1 case / $7.68  =  0.13 case per $

24 cans / $7.68  =  3.125 cans per $

And of course ...

24 cans / 1 case  =  24 cans per case

1 case / 24 cans  =  0.041666... case per can


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The first four terms of a sequence are shown below:8, 5, 2, −1Which of the following functions best defines this sequence? (5 points)Question 11 options:1) f(1) = 8, f(n + 1) = f(n) + 3; for n ≥ 12) f(1) = 8, f(n + 1) = f(n) − 5; for n ≥ 13) f(1) = 8, f(n + 1) = f(n) + 5; for n ≥ 14) f(1) = 8, f(n + 1) = f(n) − 3; for n ≥ 1
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The welding rate of a third robot is represented by the equation w = 10.8t, where w represents the number of welding tasks and t represents the time in minutes. How does it compare to the other two?

Answers

The equation w = 10.8t is a proportional equation where the constant of proportionality is 10.8.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

w = 10.8t

Where w is the number of wielding tasks and t is the time it takes.

Now,

W is proportional to t.

The constant of proportionality is 10.8.

Thus,

The number of welding is proportional to the time it takes.

Learn more about equations here:

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Answer:

In some cases unemployment rates increase with the level of education of the ... not only provides skills for performing different vocational tasks, but also identifies and ... Similarly some- times model firm comparison methods are used to derive the ... The third step is the estimation of labour productivity by economic sector for

Step-by-step explanation:

Emma says the GCF of 16 and 12 is 48. Her friend Grace says the answer is 4. Who is right?

Answers

Grace is right because what Emma said was not a factor of 16 and 12.

4/7 x 1/3 x 7/8= A.1/24 B.1/6 C.2/3 D.6

Answers

(4)/(7) * (1)/(3) * (7)/(8)

(28)/(168)

simplify

(1)/(6)

the answer is B :) 

There are 45 red tiles,25 blue tiles and 30 green tiles in a bag.Suppose you plan to conduct this experiment 60 times.
Draw a tile from the bag without looking.
Record the color of the tile
Replace the tile
How many tiles of each color do you expect to get?

Answers

This is a question of probability.
Probability of picking any color= number of tiles with that color/total number of tiles
Total=45+25+30=100
P(red tile)=(45/100)x60=0.45x60=27
P(blue tile)=(25/100)x60=0.25x60=15
P(green tiles)=(30/100)x60=0.3x60=18

Please I need full answer
The solution for \( x \) of the equation \( 8 e^{x}-1=0 \) is

Answers

Answer:

Step-by-step explanation:

The equation \(8e^x - 1 = 0\) can be solved to find the value of \(x\).

To solve for \(x\), we need to isolate the exponential term, \(e^x\).

Here are the steps to solve the equation:

1. Add 1 to both sides of the equation to isolate the exponential term:

\(8e^x = 1\)

2. Divide both sides of the equation by 8:

\(\frac{{8e^x}}{8} = \frac{1}{8}\)

3. Simplify:

\(e^x = \frac{1}{8}\)

4. To solve for \(x\), we can take the natural logarithm (ln) of both sides of the equation:

\(\ln(e^x) = \ln\left(\frac{1}{8}\right)\)

5. Since \(\ln(e^x)\) and \(e^x\) are inverse functions, they cancel each other out:

\(x = \ln\left(\frac{1}{8}\right)\)

6. Use the properties of logarithms to simplify further:

\(x = \ln(1) - \ln(8)\)

7. Simplify:

\(x = -\ln(8)\)

Therefore, the solution for \(x\) in the equation \(8e^x - 1 = 0\) is \(x = -\ln(8)\).

the theatre charges $9 for each adult ticket and $6 for each child ticket. the theatre sold 144 tickets for the first showing of the new release. the total money collected from ticket sales for that show was $1164. write a system of equations that could be used to find the number of child tickets and the number of adult tickets sold, and solve the system algebraically.

Answers

x=number of adult tickets
y=number of child tickets
I suggest this system of equations:
x+y=144
9x+6y=1164
we can solve this system of equations by substitution method.
x=144-y

9(144-y)+6y=1164
1296-9y+6y=1164
-3y=1164-1296
-3y=-132
y=-132/-3=44

x=144-y
x=144-44=100

Answer: the theatre sold 100 adult tickets and 44 child tickets.