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Vesna [10]
3 years ago
5

A T-shirt department store cost 7.50.the total cost in dollar of a T-shirt is givien by the function C(a)=7.5a

Mathematics
1 answer:
tigry1 [53]3 years ago
6 0

Given cost function C(a) = 7.5a, where a is the number of T-shirts.

Let us complete table.

We need to plug a=1,2,3,4 in above function to get the costs to complete the table.

For a =1

C(1)= 7.5(1) = 7.50

For a =2

C(2)= 7.5(2) = 15.00

For a =3

C(3)= 7.5(3) = 22.50

For a = 4

C(4)= 7.5(1) = 30.00

In order to find the common difference we need to find the diffrences of costs 15-7.50 = 7.50

22.50-15.00=7.50.

<h3>Therefore, common difference is 7.5.</h3>

a represents the number of T-shirts.

Domain of a is the numbers we can take for a.

So, we can take value for a as 0 or greater value.

Therefore, domain for a would be a is gerater than or equal to 0.

<h3>Domain : a≥0</h3>

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kap26 [50]
A + c = 824                             represents number of tickets to sell
20a + 12c = 13,344                represents cost of each type of ticket

multiply equation 1 by -12 to cancel the variable 'c' and solve for 'a'

-12(a + c = 824)

-12a - 12c = - 9888
 20a + 12c = 13,344         add equations together
-----------------------------
    8a          = 3456           divide both sides by 8
     a = 432

To find children's tickets substitute adult numbers back into equation 1.
a + c = 824
432 + c = 824
subtract 432 from both sides
c = 392

adult 432, children 392
8 0
2 years ago
Can somebody please help me with this?
alexdok [17]
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3 years ago
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3 years ago
If a hypothesis test leads to the rejection of the null hypothesis, a _____.
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2 years ago
Find each quotient. Write in simplest form. keep answer as fraction - not decimal
kirill [66]

So we are given the expression:

\frac{mn^{2}}{4} ÷ \frac{m^{2}n}{8}

When we divide fractions, we must flip the second term and change the sign to multiplication:

\frac{mn^{2}}{4} *\frac{8}{m^{2}n}

And then we multiply across:

\frac{mn^{2}}{4} *\frac{8}{m^{2}n}= \frac{8mn^{2}}{4m^{2}n}

Then we can break apart all of the like variables for simplification:

\frac{8mn^{2}}{4m^{2}n}=\frac{8}{4} * \frac{m}{m^{2}} *\frac{n^{2}}{n}

When we simplify variables through division, we subtract the exponent of the numerator from the exponent of the denominator. So we then have:

\frac{8}{4} =2

\frac{m}{m^{2}}=m^{-1} =\frac{1}{m}

\frac{n^{2}}{n}=n^{1}=\frac{n}{1}

So then we multiply all of these simplified parts together:

\frac{2}{1}*\frac{1}{m}*\frac{n}{1}   =\frac{2n}{m}

So now we know that the simplified form of the initial expression is: \frac{2n}{m}.

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2 years ago
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