Use x for the unknown number.

Erica earns a rebate each month on her meals and movie tickets. She earns $3 for each movie ticket and $0.80 for each meal. Last

tekilochka [14]

Hello!

In this problem, Erica get 3 dollars for each movie ticket bought, and 80 cents for each meal. Before creating an equation, we can assign some variables.

m can be represented as number of meals

t can be represented as number of tickets

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Part A: Create an equation.

For every ticket, Erica gets three dollars, which is shown by 3t. While for every meal, Erica gets 80 cents, which is shown by 0.80m. Also, last month, Erica earned 18 dollars in total. With that information, we can create our equation:

3t + 0.80m = 18

Part B: Solve this equation justifying each step.

3t + 0.80m = 18

3t + 0.80(15) = 18 (substitute the known values into the variable m)

3t + 12 = 18 (use the distributive property)

3t = 6 (subtract 12 from both sides)

t = 2 (divide both sides by 3)

Part C: How many movie tickets did Erica purchase?

From the work shown above, Erica bought two tickets last month.

5 0

4 years ago

Evaluate √81/√9 help lolll

just olya [345]

Answer:

27

Step-by-step explanation:

$\sqrt{81}=9\\\sqrt{9}=3\\therefore 9x3=27$

4 0

3 years ago

Read 2 more answers

if (2k, k) and (3k, 4k) are two points on the graph of a line and k is not equal to 0, what is the slope of the line?

cluponka [151]

(2k, k) and (3k, 4k)

Slope = (4k - k )/(3k - 2k)

= 3k / k

= 3

Answer :

3

5 0

3 years ago

Read 2 more answers

A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed

Korvikt [17]

Answer:

The number of books produced at which the costs from the two methods be the same is 4668 books

Step-by-step explanation:

Here, we have

For the first production method

Fixed cost = $65,054 and variable cost per book = $8.25

For the second production method

Fixed cost = $12,539 and variable cost per book = $19.50

Therefore, let the number of books at which the to methods cost the same be M, we then have

$65,054 + $8.25 × M = $12,539 + $19.50× M

Which gives

$65,054 - $12,539 = $19.50× M - $8.25 × M

$52515 = $11.25 × M

M = $52515/$11.25 = 4668 books.

4 0

3 years ago

The area of a rectangle is 4w - 10 square units.

podryga [215]

Area of rectangle = 2(2w - 5) is the factored form of given expression

Multiplying the length and width of a rectangle, we get the area of the rectangle

Solution:

Given that, area of rectangle is 4w - 10 square units

We have to factor the expression

From given,

Area of rectangle = 4w - 10

Take 2 as common factor

Area of rectangle = 2(2w - 5)

Thus the given expression is factored

The area of rectangle is given as:

$Area\ of\ rectangle = length \times width$

$Area\ of\ rectangle = 2 \times (2w - 5)$

Thus, multiplying the length and width of a rectangle, we get the area of the rectangle

When we multiply 2 with 2w - 5 we get the area of rectangle

From above we can say,

Length = 2 or 2w - 5

Width = 2w - 5 or 2

So when dimensions of rectangle are multiplied we get area of rectangle

3 0

3 years ago