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icang [17]
2 years ago
10

Ariana is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Ariana will earn

$40 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. Ariana earned a total of $500 in royalties on 9 commercials and movies. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Ariana's songs were played. Define the variables that you use to write the system.
Mathematics
1 answer:
Sloan [31]2 years ago
7 0

Answer:

Commercials x = 7

Movies y = 2

Step-by-step explanation:

Let commercials = x

Let's movies = y

$40 is for commercials

$110 is for movies.

Commercials plus movies for the Year = 9

She earned total of $500

X+ y = 9..... equation 1

40x + 110y = 500.... Equation 2

Multipling equation one by 40

40x + 40y = 360

Subtracting equation one from equation 2

70y = 140

Y = 2

If y = 2

X + y = 9

X + 2 = 9

X = 9-2

X = 7  

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Andre45 [30]
First find out how many customers you talk to in an 8 hr shift
Rate is (8cs/hr)(8hr)=64 customers
So to increase by 20%, multiply the total number of customers by 120%, all the customers before plus the 20%, so (64)(1.2)=76.8, or 77 customers
7 0
2 years ago
Consider the two functions given below.
mestny [16]
This means which transformation makes the same answer at x = 0

f(x) = 3x + 4
g(x) = {2}^{x}  - 1

f(0) = 4
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Which transformation makes 4 = 0?

4 + x = 0 + y

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Option 1 is your answer
3 0
3 years ago
Read 2 more answers
POSSIBLE POINTS. 7 Two clothing stores are having a sale on all their dress shirts. Store A is charging $15 for each dress shirt
Anon25 [30]

Answer:

The statements are not provided, so i will answer in a general way.

Let's define the variable x as the number of dress shirts brought for some person.

In store A, each one costs $15.

Then the cost of x dress shirts will be:

A(x) = $15*x.

In store B, each one costs $18, but there is a coupon of $9, then we can write the cost in store B as:

B(x) = $18*x - $9.

Now we can find wich store will be cheaper for a given number x, by calculating the difference between A(x) and B(x).

D = A(x) - B(x)

If D is positive, means that B(x) is cheaper.

If D is negative, means that A(x) is cheaper.

If D is equal to zero, means that the cost is the same in both stores.

D = A(x) - B(x) = $15*x - $18*x + $9 = (-$3*x) + $9.

First, let's find for what value of x we have the same cost in both stores:

0 = (-$3*x) + $9.

$9/$3 = 3 = x.

Then for 3 dress shirts, the cost will be the same in each store.

Now, as the coefficient that multiplies x is negative, if we have x > 3, then D will be negative, and if x < 3, D will be positive.

then:

For x = 3, the cost is the same in both stores.

for x > 3, Store A is cheaper.

For x < 2, Store B is cheaper.

6 0
2 years ago
HELP PLEASE!!! ILL GIVE BRAINLIEST if I can figure it out ... I'm not in highschool btw I'm in 6th
ira [324]

Answer:

12

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3 0
2 years ago
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Suppose that the weights of airline passenger bags are normally distributed with a mean of 47.88 pounds and a standard deviation
Leto [7]

Answer:

There is a 24.51% probability that he weight of a bag will be greater than the maximum allowable weight of 50 pounds.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by

Z = \frac{X - \mu}{\sigma}

After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X. The sum of the probabilities is decimal 1. So 1-pvalue is the probability that the value of the measure is larger than X.

In this problem

Suppose that the weights of airline passenger bags are normally distributed with a mean of 47.88 pounds and a standard deviation of 3.09 pounds, so \mu = 47.88, \sigma = 3.09

What is the probability that the weight of a bag will be greater than the maximum allowable weight of 50 pounds?

That is P(X > 50)

So

Z = \frac{X - \mu}{\sigma}

Z = \frac{50 - 47.88}{3.09}

Z = 0.69

Z = 0.69 has a pvalue of 0.7549.

This means that P(X \leq 50) = 0.7549.

We also have that

P(X \leq 50) + P(X > 50) = 1

P(X > 50) = 1 - 0.7549 = 0.2451

There is a 24.51% probability that he weight of a bag will be greater than the maximum allowable weight of 50 pounds.

6 0
3 years ago
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