Which inequality is represented by the graph?

AlexFokin [52]

Considering the definition of least common multiple, this means that smallest number of packages of each they can buy is 60.

<h3>Least common multiple</h3>

A number is a multiple of another when it contains it exactly n times. In other words, the multiples of a number are the ones you get when you multiply one number by another.

The least common multiple allows us to know what is the smallest number that is a multiple of a certain set of numbers.

One procedure for calculating the least common multiple is to break each number into prime factors. Then the common and uncommon factors are raised to the highest exponent, which must be multiplied.

<h3 /><h3>Smallest number of packages</h3>

To calculate the smallest number of packages of each they can buy, you calculate the least common multiple.

First, the decomposition of the numbers into prime factors is carried out:

15= 3×5

12= 2×2×3= 2²×3

Then, the least common multiple is calculated as 2²×3×5

Solving, the least common multiple between 12 and 15 is 60.

Finally, this means that smallest number of packages of each they can buy is 60.

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8 0

2 years ago

The cost for Dana and Courtney's lunch is $24. If they want to leave a

sergij07 [2.7K]

<h3>Total cost of their lunch, including the tip is $ 27.6</h3>

<em><u>Solution:</u></em>

The cost for Dana and Courtney's lunch is $24

They want to leave a 15% tip

To find: total cost of their lunch, including the tip

<em><u>Find the tip amount</u></em>

Tip amount = 15 % of 24

$Tip\ amount = \frac{15}{100} \times 24\\\\Tip\ amount = 0.15 \times 24\\\\Tip\ amount = 3.6$

<em><u>what is the total cost of their lunch, including the tip?</u></em>

Total cost = cost of lunch + tip amount

Total cost = 24 + 3.6

Total cost = 27.6

Thus total cost of their lunch, including the tip is $ 27.6

7 0

3 years ago

Which of the following expressions is written in scientific notation?

attashe74 [19]

Answer:

D 31.4 × 10 4

Hope this helps!

8 0

2 years ago

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4. Lupe knows that there are 4 quarts in a gallon. She wants to convert 6 quarts to gallons, but cannot decide if she should mul

tangare [24]

Answer:

Step-by-step explanation:

4 quarts=1 gallon

1 quart=1/4 gallon

6 quarts 1/4×6=6/4 gallons=3/2 gallons =1 1/2 gallons

or we can say 4 quarts=1 gallon

2 quarts=1/2 gallon

(4+2=6)quarts=(1+1/2)=1 1/2 gallon.

3 0

3 years ago

Fifty- three students from 32 different schools signed up for a multi-classroom project. About how many students signed up for t

inessss [21]

Hello there.

<span>Fifty- three students from 32 different schools signed up for a multi-classroom project. About how many students signed up for the project?

</span><span>B. about 1,800 students
</span>

5 0

3 years ago

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