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7nadin3 [17]
2 years ago
7

A store sells 12-packs of ballpoint pens for $1.09 each and composition books for $2.79 each. Cindy buys m packs of ballpoint pe

ns and n composition books. The store offers a 5% discount for every 50th customer who makes a purchase. If Cindy gets the 5% discount, which expression will represent Cindy’s bill?
Mathematics
2 answers:
NemiM [27]2 years ago
8 0
$1.09m + $2.79n = total
To get the percent of the total, multiply the total by 5 and move the decimal two points to the left. Subtract the number you get by the total.
NNADVOKAT [17]2 years ago
6 0

Answer:

0.95(1.09m+2.79n)

Step-by-step explanation:

A store sells 12-packs of ballpoint pens for $1.09 each.

The store also sells composition books for $2.79 each.

Cindy buys 'm' packs of ballpoint pens and 'n' composition books.

So, the equation for this becomes:

1.09m+2.79n

And as Cindy gets a 5% discount, so she has to pay 95% of the regular price.

Then the expression that will represent Cindy’s bill is :

0.95(1.09m+2.79n)

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How many pounds of water must be evaporated from 50 pounds of a 3% salt solution so that the the remaining solution will be 5 %
svlad2 [7]

Answer:

Step-by-step explanation:

This is kinda tricky, but not nearly as bad as d = rt problems. Those are a nightmare!

We will make a table for this:

                         #lbs solution           *          % salt         =           lbs. salt

  3% solution

-  <u>Water                                                                                                      </u>

New solution

And we will now fill in what we know. The 3% solution part is easy. The number of pounds of that is 50 and the percent salt in 3% salt is....well, 3%. As a decimal, it is .03:

                             #lbs solution        *        %salt        =        lbs salt

  3% solution                50                 *          .03         =           1.5

-  <u>Water                                                                                                 </u>

New solution

The last column there with a 1.5 in it is the product of 50 times .03, since that is what the formula at the top of the table tells us we have to use. Now for the water. That's easy, too, since the amount of water we are evaporating (notice the subtraction sign out front of the word "water"; that indicates we are removing water) is our unknown, and we also know that water has 0% salt in it:

                          #lbs solution         *       %salt        =        lbs. salt

   3% solution            50                  *         .03         =           1.5

-   <u>Water                       x                  *            0          =            0         </u>

New solution

Now all we have left is the new solution row and the equation. Finding the equation from a mixture table is as easy as it can be! Super easy!

The new solution will be 50 - x since, going down column 1, we are subtracting the water from the 3% solution, the % salt is to be 5%:

                            #lbs. solution        *       %salt        =        lbs. salt

   3% solution               50                *         .03          =           1.5

-   <u>Water                          x                 *           0           =            0         </u>

New solution         50 - x                  *         .05          =     2.5 - .05x

Now we're ready for our equation. I got the 2.5 - .05x from multiplying

.05(50 - x), just so you know.

if we had to subtract the water from the salt solution and set it equal to the new solution in the first column, we also have to do it in the third column:

1.5 - 0 = 2.5 - .05x and solve for x:

-1 = -.05x so

x = 20 pounds of water

4 0
2 years ago
HELP PLZ ASAP!!!!!!!!!
Anon25 [30]
Use the quadratic formula, the second, the 6th answers are correct. 
3 0
2 years ago
A 90 percent confidence interval is to be created to estimate the proportion of television viewers in a certain area who favor m
Dominik [7]

Answer:

This means that the first interval, with 9000 viewers, is 3 times as narrower as the second interval, with 1000 viewers.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The width of the interval is:

W = 2z\sqrt{\frac{\pi(1-\pi)}{n}}

In this sample:

Two 90% intervals, with different lenghts. So both have the same values for z an \pi

Interval A:

9000 viewers.

So the width is

W_{A} = 2z\sqrt{\frac{\pi(1-\pi)}{9000}}

Interval B:

100 viewers

So the width is

W_{B} = 2z\sqrt{\frac{\pi(1-\pi)}{1000}}

Relationship between the widths:

R = \frac{W_{A}}{W_{B}} = \frac{2z\sqrt{\frac{\pi(1-\pi)}{9000}}}{2z\sqrt{\frac{\pi(1-\pi)}{1000}}} = \frac{\sqrt{1000}}{\sqrt{9000}} = \frac{\sqrt{1}}{\sqrt{9}} = \frac{1}{3}

This means that the first interval, with 9000 viewers, is 3 times as narrower as the second interval, with 1000 viewers.

8 0
2 years ago
What is the average speed of a runner if he ran 2 1/3 of a mile in 20 minutes?
lesya [120]
7 MPH because 2 1/3
in 20 minutes. So you multiply 20 by 3 you get 60. Then you multiply 2 by 3 you get 6. Then you multiply 1/3 x 3 and you get 1. 6=1=7                    Hope This Helps
7 0
2 years ago
Read 2 more answers
The value -2 is a lower bound for the zeros of the function shown below.
Juliette [100K]

Answer:

  a) true

Step-by-step explanation:

The bottom-line numbers from synthetic division <em>alternate signs</em>, indicating that -2 is a lower bound. The given statement is true.

__

If the signs were all positive, it would indicate the proposed zero is an <em>upper bound</em>.

__

A graph shows all real zeros are greater than -2.

4 0
2 years ago
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