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Viefleur [7K]
3 years ago
13

An advertising company charges $40 per half-page advertisement and $75 per full-page advertisement. Michael has a budget of $800

to purchase 13 advertisements. • Define a variable for each unknown. • Write a system of equations to represent the situation and solve the system
• • • How many half-page advertisements does Michael purchase? • Show your work. •

How many full-page advertisements does Michael purchase? Show your work.
Mathematics
1 answer:
TEA [102]3 years ago
6 0

Answer:

full page = 8

half page = 5

Step-by-step explanation:

two equations can be derived from the question

40x + 75y = 800 equation 1

x + y = 13 equation 2

x = number of half page advertisement

y = number of full page advertisement

multiply equation 2 by 40

40x + 40y = 520 equation 3

subtract equation 3 from 2

280 = 35y

y = 8

substitute for y in equation 2

x + 8 = 13

x = 13 - 8

x = 5

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What is the value of x
aivan3 [116]

Answer:

x=14√3 and y=28

Step-by-step explanation:

This is a 30, 60, 90 triangle. We have to multiply 14 by 2 to get the hypotenuse. In this case, the hypotenuse is y. 14x2 is equal to 28. Therefore, y=18. The long side is equal to the small side times the √3. Therefore, x is equal to 14√3. Therefore, x=14√3 and y=28.

If this has helped you please mark as brainliest

4 0
3 years ago
Two angles are complimentary. One angle measures 69 degrees. The other measures ( 5n + 1). What is the value of n?
iren [92.7K]

Answer:

Step-by-step explanation:

complimentary angles, when added = 90 degrees

69 + 5n + 1 = 90

5n + 70 = 90

5n = 90 - 70

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n = 4 <====

6 0
4 years ago
Which of these is a simplified form of the equation 7y + 8 = 9 + 3y + 2y?​
Lera25 [3.4K]

Answer:

7y +8 is the answer for the question

4 0
3 years ago
Read 2 more answers
A sample with a mean of m = 40 and a variance of s2 = 20 has an estimated standard error of 1 point. how many scores are in the
tamaranim1 [39]

The correct option is 20.

The score found for the sample is 20.

<h3>What is Standard error?</h3>

A standard error is a statistic that is applied to test the distribution of data. This metric is comparable to standard deviation. We can calculate the standard error if we know the sample size & standard deviation. It assesses the mean's precision.

Now, according to the question;

Sample mean; \bar{x}=40

Sample variance; s^{2}=20

Thus, s=\sqrt{20}=4.47

Standard error SE = 1

The amount of scores with in sample must be determined here.

The standard error formula is as follows:

S E=\frac{s}{\sqrt{n}}

We might rearrange the formula as follows:

\begin{aligned}\sqrt{n} &=\frac{s}{S E} \\n &=\left(\frac{s}{S E}\right)^{2}\end{aligned}

Substituting the values;

\begin{aligned}&n=\left(\frac{4.47}{1}\right)^{2} \\&n=19.98\end{aligned}

The sample's number of scores n = 19.98 = 20 (round up)

Therefore, the scores are in the sample is 20.

To know more about the Standard error, here

brainly.com/question/14467769

#SPJ4

3 0
2 years ago
Mariana plans to visit an amusement park where she must pay for admission and purchase tickets to go on the rides. Mariana wants
Ivanshal [37]

Answer: The number 12 represents admission charge in Mariana's equation.

Step-by-step explanation:

As per given ,

Total cost = ( Charge per ticket) (Number of tickets) +  (Admission fees)  (i)

For x = Number of tickets, the total cost (c) for a day at the amusement park is given as

c = 1.50x + 12                                       (ii)

Here, 12 = Admission fees                 [Comparing (i) and (ii)]

Hence, the number 12 represents admission charge in Mariana's equation.

3 0
3 years ago
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