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Sveta_85 [38]
3 years ago
12

At the grand opening of a movie theater, every 12th customer received a free bag of popcorn and every 30th customer received a f

ree box of candy. Which customer will be the first to receive both items?
Mathematics
1 answer:
AlexFokin [52]3 years ago
6 0

Answer:

Your answer would be the 60th

Step-by-step explanation:

This is your solution due to the fact that when you find the multiples of 12 and 30 you will realize that that's the first number they meet at, let me show you.

Multiples of 12 - 12, 24, 36, 48, 60

Multiples of 30 - 30, 60, 90, 120, 150

So The Least Common Denominator is 60!

Thus that is how I know that the 60th customer at the movie theater would get both items for free.

Hope This Helped!

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Plot the line for the equation on the graph. y−4=−1/4(x−5)
icang [17]
You just need two points to graph a line.

When x = 1 

y - 4 = -1/4(1 - 5)
y - 4 = -1/4(-4)
y - 4 = 4/4
y - 4 = 1
y = 5

So, we have our first point, (1,5)

When x = 2

y - 4 = -1/4(2 - 5)
y - 4 = -1/4(-3)
y - 4 = 3/4
y = 4 3/4

Now we have the point (2, 4 3/4)

Now just run a line through the two points and you're done!

6 0
3 years ago
Which of the following expressions are equivalent (equal) to 3(2x - 7)
velikii [3]

Answer:

6x - 21

Step-by-step explanation:

3(2x - 7)

Use the Distribute Property of Multiplication by multiplying the number outside the parenthesis with the numbers inside.

3 × 2x = 6x

3 × -7 = -21

Combine:

6x - 21

Hope this helped.

3 0
3 years ago
Read 2 more answers
The population of bobcats in northern Arizona since 2008 can be modeled using the function b(t) = –0.32t2 + 2.7t + 253. What doe
Vesna [10]

Answer:

See below.

Step-by-step explanation:

t represents time (probably years).

The population of bobcats can't be negative, so negative values in the range do not make sense.

The function is continuous, but you're probably only looking at discrete values.

6 0
3 years ago
John is a High School principal. He earns $62,299.92 a year and is paid on a semimonthly basis. How much is deducted per pay per
LenKa [72]

Answer alongwith Step-by-step explanation:

<u>1. Social Security</u>

Here Gross income = $62,300

Step 1 Find semiannual income

Semimonthly gross income = $62,300 / 24 = $2595.83

Step 2 Find the social security liability using social security rate and annual income

Social security rate is 6.2%

Social Security Liability = 6.2% x $2595.83 = $160.94 semimonthly payments

Step 3 Find the social security liability using social security rate and annual income

Deduction amount for Social security on monthly basis = $160.94 *2 =

$321.88 per month

<u>2. Medicare</u>

Here Gross income = $62,300

Step 1 Find semiannual income

Semiannual Gross income = $62,300 / 24 = $2595.83

Step 2 Find the social security liability using Medicare rate and annual income

Medicare rate is 1.45%

Medicare Liability = 1.45% x $2595.83 = $37.64 semimonthly payments

Step 3 Find the social security liability using Medicare rate and annual income

Deduction amount for Social security on monthly basis = $160.94 *2

= $75.28 per month

8 0
3 years ago
It takes 85 pails of water to fill up a tank. If the capacity of each pail is 2.65 gallons , what ai the capacity of the tank?
Taya2010 [7]
If u multiply the amount of gallons the pail holds by the amount of pails the tank can hold you would get 225.25 gallons.

6 0
3 years ago
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