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MArishka [77]
3 years ago
15

A juice company sells its product in either a 48-ounce size or a 32-ounce size. It charges $\$3.90$ for the 48-ounce size. How m

uch should it charge for the smaller size if it wants the price per ounce to be $25\%$ more than the price per ounce of the larger size?
Mathematics
2 answers:
LenaWriter [7]3 years ago
8 0

Answer:

3.25

Step-by-step explanation:

We could solve this problem by figuring out the per-ounce cost of the 48-ounce package, increasing it by $25\%$, and then multiplying that by 32 for the smaller package. However, if we simply increase the price by $25\%$, and then scale the package size down to 32 ounces from 48 ounces, these are the same calculations, but in a different order that makes it easier to calculate. Thus: $3.90 \times 1.25 \times \frac{32}{48} = \boxed{3.25\text{ dollars}}$

Zigmanuir [339]3 years ago
5 0

Answer:

The company should charge $ 3.25 for the smaller size.

Step-by-step explanation:

The price per ounce of the 32-ounce product is required to be 25% greater than the larger-sized product.

We know that for the size of 48 ounces the price is $ 3.90

So, the price per ounce is:

\frac{3.90}{48}= $ 0.08125

For the smallest size the price per ounce should be 25% higher.

So:

$ 0.08125 (1 + 0.25) = $ 0.10156

The total price for the smallest size is:

$ 0.10156 * 32 = $ 3.25

The company should charge $ 3.25 for the smaller size.

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Find the equation of the line that passes through the points (-5,7) and (2,3)
Olegator [25]

Answer:

y=-\frac{4}{7}x+4\frac{1}{7}

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= \frac{y_{1} - y_{2}  }{x_{1} - x_{2}  } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

y=-\frac{4}{7} x+b\\

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}

Last step: substitute the slope and y intercept into y=mx+b.

y=mx+b\\y=-\frac{4}{7}x+4\frac{1}{7}

That is the answer to this problem.

I hope this helps.

3 0
3 years ago
Find g: 3g + 15 − 12 + 3 − 2g + 4 = 1
lisov135 [29]

Answer:Group of answer choices

Step-by-step explanation:

What you first want to do is like and unlike terms so basically liketerms are terms withthe same sign and unlike terms are terms with diferent signs for instinse 3g and 2g are like terms so -33 and -9 and -9 and 9 are unlike terms so you just have to find the like and unlike terms to answer the question!

6 0
3 years ago
Read 2 more answers
Which is the equation of the line?
DIA [1.3K]
The answer is B, the x-axis crosses over to -8 the way the line goes also means it is a negative. I don't know for sure because i haven't done this in a while but I hope it helps.
3 0
3 years ago
What is the probability that a randomly drawn marble from bag is green. Given that it is not red?
tatiyna

Answer:

The probability is 0.2, or 20%.

Step-by-step explanation:

A probability is the ratio of the number of relevant outcomes and the number of all possible outcomes. If we know that the marble drawn is not red, the number of possible outcomes N is

N = (number of blue marbles) + (number of green marbles) = 25

and the number of relevant outcomes (marble being green) is n:

n = (number of green marbles) = 5

So, the probability is

P = n / N = 5 / 25 = 1 / 5 or 0.2, or 20%

6 0
3 years ago
Which of the following are ways whole numbers and rational numbers are different? Select all that apply. ︎whole numbers are a su
mihalych1998 [28]

Answer:

asd

Step-by-step explanation:

asd

8 0
3 years ago
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