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poizon [28]
3 years ago
7

A regular tube of toothpaste costs $2.50 for 3.2 ounces. A travel size tube costs $1.00 for 1.2 ounces. Compare the prices and w

eights using percent to decide which is better to buy
Mathematics
1 answer:
Len [333]3 years ago
6 0

Answer:

The travel size costs 6 ​% as much as the regular size. Thus the regular size would be more economical and thus a better buy

Step-by-step explanation:

step 1

<em>Find out the unit rate of a regular  tube of toothpaste</em>

we know that

To find out the unit rate, divide the total cost by the total weight

so

\frac{2.50}{3.2}=\$0.78\ per\ ounce

step 2

<em>Find out the unit rate of a travel size tube of toothpaste</em>

we know that

To find out the unit rate, divide the total cost by the total weight

so

\frac{1.00}{1.2}=\$0.83\ per\ ounce

step 3

Find out the percent of increase

we have that

The unit rate \$0.83\ per\ ounce represent the 100%

so by proportion

Find out what percentage represent the difference ($0.83-$0.78=$0.05 per ounce)

\frac{0.83}{100\%}=\frac{0.05}{x}\\\\x=100(0.05)/0.83\\\\x=6\%

therefore

The travel size costs 6 ​% as much as the regular size. Thus the regular size would be more economical and thus a better buy

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Which expression uses the associative property to make it easier to evaluate? (50points)
Naily [24]

The correct answer is option 4: (8.\frac{1}{4}).\frac{3}{5}

Step-by-step explanation:

Given expression is:

8.(\frac{1}{4}.\frac{3}{5})

The associative property states that for any three terms that are being multiplied, different order of multiplication (i.e. which two terms are multiplied first) will give the same answer.

Let a,b and c be the three terms

then

a.(b.c) = (a.b).c

So applying the associative property on given expression

8.(\frac{1}{4}.\frac{3}{5}) = (8.\frac{1}{4}).\frac{3}{5}

Hence,

The correct answer is option 4: (8.\frac{1}{4}).\frac{3}{5}

Keywords: Associative property, Properties

Learn more about associative property at:

  • brainly.com/question/9729310
  • brainly.com/question/9738996

#learnwithBrainly

5 0
3 years ago
Solve triangle ABC if a=10, b= 11, c=17
Svet_ta [14]

Answer:

38

Step-by-step explanation:

it is quite simple so try to solve it

3 0
2 years ago
Describe a real world problem you could solve with the help of a yardstick and a calculator.
jekas [21]
There are many options, let me tell you three
- how many square feet is your house
- <span>how tall you are in centimeters. use the yardstick to measure yourself then calculate it into centimeters
- </span>needing to find the area of a space in order to purchase a couch you need the yardstick
I hope these options are useful
4 0
3 years ago
A store that buys and sells used video games buys a game at a cost of ​$19 and sells it at a selling price of ​$22. Find the mar
bija089 [108]
3 is the correct answer
8 0
3 years ago
Ted has a credit card that uses the average daily balance method. For the first 9 days of one of his billing cycles, his balance
slega [8]
Your question doesn't say what are the options, but we can make some reasoning.

The average daily balance method is based, obviously, on the <span>average daily balance, which is the average balance for every day of the billing cycle. Therefore, in order to calculate the average daily balance, you need to sum the balance of every day and then divide it by the days of the billing cycle.
In your case:
ADB = (9</span>×2030 + 21×1450) / 30 = 1624 $

Now, in order to calculate the interest, you should first calculate the daily rate, since APR is usually defined yearly, and therefore:
rate = 0.23 ÷ 365 = 0.00063 

Finally, the expression to calculate the interest could be:
interest = ADB × rate × days in the billing cycle
or else:
<span>interest = ADB × APR ÷ 365 × days in the billing cycle

In your case:
interest = 1624 </span>× 0.23 ÷ 365 × 30
             = 30.70 $
4 0
3 years ago
Read 2 more answers
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