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saw5 [17]
3 years ago
13

: student council is selling tickets to the fall ball dance. Tickets cost $6.00 per person , or $10 per couple. To cover the exp

enses required, they need to make at least $1,450. Let x represent the number of individual ticket sold, and y represent the number of couple tickets sold. Write a linear inequality to model the situation
Mathematics
1 answer:
Mademuasel [1]3 years ago
5 0

6x  + 10y \geqslant 1450
This basically says that the total money made from tickets will be gretarr than or equal to $1450.
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Simplify the following expression
Kay [80]

Answer:

\frac{98p^{6}}{q}

Step-by-step explanation:

Distribute the exponents

(\frac{(7^{-2}p^{-6}q^{-8})}{2q^{-9}} )^{-1}

(\frac{q}{98p^{6}} )^{-1}

Distribute the -1

\frac{98p^{6}}{q}

6 0
3 years ago
Find the 44th percentile, P44, from the following data! pls help
irina [24]

Answer:

P_{44} = 29.9

Step-by-step Explanation:

The 44th percentile, P_{44}, of the given data can be calculated using the kth formula for percentile given as:

i = \frac{k}{100}(n + 1)

where,

i = the ranking or the position of the percentile = ?

k = the percentile = 44

n = total number of the given data values = 23

Plug in the values into the formula to find "i"

i = \frac{44}{100}(23 + 1)

i = \frac{44}{100}(24)

i = \frac{1,056}{100}

i = 10.56

Since "I", 10.56, is not an integer, round the number down, and round it up to the nearest integer, then look for the position each occupy in the ordered data set, and find their average.

Thus,

i_{down} = 10.56 = 10

i_{up} = 10.56 = 11

The data occupying the 10th position on the data set = 28.7

11th = 31.1

P_{44} = \frac{28.7 + 31.1}{2} = \frac{59.8}{2}

P_{44} = 29.9

6 0
3 years ago
Write the number below as a fraction in its simplest form 0.˙49˙9 (more clearer picture is attached here)
mars1129 [50]

Answer:

499/999

Step-by-step explanation:

The decimal number written is:

0.499...

Such that these 3 decimals are repeated as:

0.499499499...

Let's define this number as k

k = 0.499...

Let's multiply this number by 1000 (the same number of zeros as important decimals after the decimal point)

we get:

1000*k = (1000)*(0.499...) = 499.499...

Now we can subtract the original number k, so we get:

1000*k - k = 499.499... - 0.499...

In this way, we remove the part after the decimal point:

1000*k - k = 499.499... - 0.499...

(1000 - 1)*k = 499

999*k = 499

Now we can divide both sides by 999

(999*k)/999 = 499/999

k = 499/999

The fraction notation of our number is 499/999 (and this is the simplest form)

5 0
3 years ago
Please help!
mariarad [96]

Answer: 1,045 passengers

Step-by-step explanation:

This question involves multiple steps. Let's first try to figure the number of children on the cruise.

The ratio of girls to the total number of children was 2:5. There are 198 boys.

This information tells me that for every 5 children, there's 2 girls and 3 boys.

Based off of this information, we can divide the total number of boys by 3 in order to find the number of children.

198÷3=66

Let's multiply 66 by 5 since that's the number of groupings based off the ratio.

66×5=330

Let's check the number of children. Since the ratio of girls to total children is 2:5 and we already confirmed there's 198 boys, there should be 132 girls. We can turn this ratio into a fraction where 2/5 of the children are girls. we can confirm this by multiply 330 by 2/5 (0.4) and getting 132.

There are 330 children on the cruise.

The ratio of the number of adults to the number of children was 13:6.

For every 6 children, there were 13 adults. Let's divide the number of children by 6 in order to find the number of groupings.

330÷6=55

Let's now multiply the groupings by 13 to find the number of adults.

55×13=715

So there should be 715 adults and 330 children on the cruise.

715+330=1,045

5 0
3 years ago
Evaluate the problem <br>​
m_a_m_a [10]

Answer:

-2

Step-by-step explanation:

  1. Log_{2}\frac{1}{4} = -2

I hope this helps!

3 0
2 years ago
Read 2 more answers
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