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3 years ago

Explain how you can tell that the equation, description, graph, and table all represent the same situation.

1 answer:

8 0

Answer:think of many situations you can come up with or problems you can solve which will end up with the same answer if u use different methods

Step-by-step explanation:

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Suppose the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an in

zepelin [54]

Answer:

average yearly salary of an individual whose final degree is a masters: $ 66 thousand

average yearly salary of an individual whose final degree is a bachelors: $ 56 thousand

Explanation:

You can set a system of equation using the following steps:

1. Name the variables:

average yearly salary of an individual whose final degree is a masters: x

average yearly salary of an individual whose final degree is a bachelors: y

2. Set the equations that relate the variables:

the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an individual whose final degree is a bachelors:

equation (1): x = 2y - 46

combined, two people with each of these educational attainments earn $122 thousand:

equation (2): x + y = 122

3. Solve the system:

x = 2y - 46 . . . equation (1)

x + y = 122 . . . equation (2)

Substitute equation (1) into equation (2)

2y - 46 + y = 122

Solve for y:

3y = 122 + 46

3y = 168

y = 168 / 3

y = 56 (this means that the average yearly salary with a bachelors degree is $ 56 thousand).

Subsitute the value on y in equation 1, to find the value of x:

x = 2y - 46 = 2(56) - 46 = 112 - 46 = 66.

Thus, the average yearly salary of a person with a masters degree is $ 66 thousand.

4 0

4 years ago

Which expression is equivalent to 15n−24?

Makovka662 [10]

Answer: Hi!

To solve this, find the GCM (greatest common multiple) of 15 and 24.

We can do this by finding the prime factorization.

15/3 = 5

3·5

24/2 = 12

12/2 = 6

6/2 = 3

2·2·2·3 Both prime factorizations have the number 3 in common. So the GCM is 3.

Divide both numbers by 3.

15n/3 = 5n

-24/3 = -8

Since the GCM is 3, 3 goes outside the parentheses.

The numbers that go inside the parentheses are 5n-8

The answer is 3(5n-8)

You can check your answer by using the distribution property.

3·5n = 15n

3·(-8) = -24

15n-24

Hope this helps!

Step-by-step explanation:

7 0

3 years ago

What is the best estimated for the sum of 3/8 and 1/12

NeTakaya

Estimation involves rounding
3/8 is closest to 4/8 which is 1/2, or 6/12
6/12 + 1/12 = 7/12
that is the estimated answer

6 0

4 years ago

Please hurry I need this fast

gavmur [86]

Answer:

i think

Step-by-step explanation:

4 or 1

6 0

4 years ago

Read 2 more answers

A store owner buys leather for his handmade shoes at a wholesale warehouse. He finds that when he sells each pair of shoes for $

Anna35 [415]

Answer:

number of customers and including and revenue with no decrease

Step-by-step explanation:

The constant of a polynomial is the term with degree zero. In this case, the constant of polynomial R(x) is $2,250.

Since the degree of a constant term of a polynomial is zero, the variable will not have any effect on the term. In polynomial R(x), the variable, x, represents the number of $5 decreases in pair of shoes price over $75.

By the definition of the constant of a polynomial, the number of $5 decreases in pair of shoes price over $75, x, will not have any effect on $2,250. Therefore, it can be concluded that the constant of polynomial R(x) represents the revenue with no decrease in pair of shoes price.

Polynomial R(x) can be factored into the product of two binomials.

According to the problem, the average number of customers per week is 30 people. For every $5 decrease in the price per pair of shoes over $75, the number of customers increases by an average of 5 people. The number of $5 decreases in pair of shoes price is represented by x, so 5x represents the total increase in the average number of customers per week due to decreases in the price per pair of shoes.

Therefore, the binomial (30 + 5x) represents the average number of customers per week, including the change due to price decreases.

8 0

3 years ago