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Digiron [165]
3 years ago
10

Molly earns a rebate each month on her movie tickets and books. She earns $0.25 for each movie ticket and $2 for each book. Last

month Molly purchased 4 movie tickets and earned $17. Part A: Create an equation that will determine the number of books she purchased. (3 points) Part B: Solve this equation justifying each step with an algebraic property of equality. (6 points) Part C: How many books did Molly purchase last month? (1 point)
Mathematics
1 answer:
Sliva [168]3 years ago
7 0

The algebraic equation is 4(0.25)+2x=17

STEP 1: Simplify both sides of the equation

1+2x=17  or  2x+1

STEP 2: Subtract both sides

2x = 16

STEP 3: Divide both sides by 2

2x/2 = 16/2

x = 8

Molly purchased 8 books last month

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The total cost for 9 bracelets, including shipping was $72. The shipping charge was $9. Define your variable and write an equati
stepladder [879]

Answer:

a) Equation: 9x+9 = 72

b) x =7

Step-by-step explanation:

The total cost of 9 bracelets = $72

Shipping charge = $9

a) Define your variable and write an equation that models the cost of each bracelet.

Let x be the cost of one bracelet, the equation will be

9x + 9 = 72

As 9 bracelets were there and the shipping cost was 9 and total cost was 72.

b) Use the equation you have written above determine the cost for each bracelet. Show the algebraic steps that it takes to find the answer.

Now solving the equation to find the value of x that represent cost of each bracelet

9x + 9 = 72

Adding -9 on both sides

9x +9 -9 = 72 -9

9x = 63

Dividing both sides by 9

9x/9 = 63/9

x = 7

The value of x=7 so, the cost of each bracelet is $7

c) Provide your conclusion.

So, each bracelet was of cost $7 and $9 was the shipping charge. so, the total cost is $72.

We would check whether our equation is satisfied.

9x+ 9 = 72

9(7) + 9 = 72

63 + 9 = 72

72 = 72

The equation is satisfied.

4 0
3 years ago
Read 2 more answers
Find each value of the five-number summary for this set of data. [Note: Type your answers as numbers. Do not round.] 46, 19, 38,
frozen [14]

Answer:

Maximum : 51

Minimum: 12

Median: 38

Lower quartile: 19

Upper quartile: 46

Step-by-step explanation:

To answer this question, we first order the data from largest to smallest:

46, 19, 38, 27, 12, 38, 51

12, 19, 27, 38, 38, 46, 51

It can be seen that the maximum value is:

51

The minimum value is

12

Let's call N the amount of data.

To calculate the quartiles we use the following formula:

Q_1 = X_{\frac{1}{4}(N + 1)}

So:

Q_1 = X_{\frac{1}{4}(7 + 1)}

Q_1 = X_2

Where X_2 is the data number 2.

Q1 = 19

As the number of data is imapar, then, the median is the central data:

12, 19, 27, {38}, 38, 46, 51

Median = 38

Finally:

Q_3 = X_ {\frac{3}{4}(n + 1)}\\\\Q_3 = X_ {6}

Where X_6 represents the data number 6

Q_3 = 46

4 0
3 years ago
The sum of the angle measures of any triangle is 180 degrees. suppose that one angle in a triangle has a degree measure of −3x5
salantis [7]
If we let m₁, m₂, and m₃ be the measures of the angles of the triangle, the equation that would relate them to each other is,

     m₁ + m₂ + m₃ = 180

Given the measures of the first two angles, the measure of the third angle is calculated through the equation,

    m₃ = 180 - (m₁ + m₂)

Substituting the known expressions,

    m₃ = 180 - (-3x⁵ + 2x²)

Simplifying,

<em>    m₃ = 180 + 3x⁵ - 2x²</em>
7 0
3 years ago
Hi- I need help please to get my HS diploma...did not graduate :(
andrew-mc [135]

The remainder from the division of the algebraic equation is -53/8.

<h3>What is the remainder of the algebraic expression?</h3>

The remainder of the algebraic expression can be determined by using the long division method.

Given that:
\mathbf{f(x) = \dfrac{x^3 - 6x^2 + 3x - 1}{2x-3}}

where:

  • The divisor = 2x -3

Using the long division method, we have:

\mathbf{= \dfrac{x^2}{2} +\dfrac{-\dfrac{9x^2}{2}+3x -1 }{2x-3}}

\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} +\dfrac{-\dfrac{-15x}{4}-1 }{2x-3}}

\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} -\dfrac{15}{8}+\dfrac{-\dfrac{53}{8} }{2x-3}}

\mathbf{= \dfrac{x^2}{2}-\dfrac{9x}{4} -\dfrac{15}{8}-\dfrac{53 }{8(2x-3)}}

Therefore, we can conclude that the remainder is -53/8.

Learn more about the division of algebraic equations here:

brainly.com/question/4541471

#SPJ1

8 0
2 years ago
One paper clip has alength of 1/10 foot. all of sam's paper clips lined up endto end measure 5 feet long.how many paper clips do
Norma-Jean [14]
Sam has 50 paper clips

If one paper clip has a length of 1/10 foot than 10 paper clips would make 1 foot.
6 0
3 years ago
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