1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
RideAnS [48]
3 years ago
12

The state of Maine encourages recycling by giving refunds for certain recycled items. When you recycle a glass bottle, you get b

ack $0.05, when you recycle an aluminum can, you get back $0.10, and when you recycle a plastic bottle, you get back $0.15. Part A: Drinks in a glass bottle cost $2.00, drinks in an aluminum can cost $0.50, and drinks in a plastic bottle cost $1.50. You plan to purchase two of each. Use the distributive property to write and expression that represents the amount of money you will spend. 15(20+l) 525 feet AlgebraNation.com Part B: You plan to recycle all of the items you purchased. Use the distributive property to write an expression to represent the amount of refund you will receive. Part C: After receiving the refund, how much was your net cost for the items. Hint: Net cost is equal to the total cost minus the amount of your refund.
Mathematics
1 answer:
Klio2033 [76]3 years ago
5 0

Given that cost of 1 drinks in a glass bottle = $2.00

Given that cost of 1 drinks in an aluminum can = $0.50

Given that cost of 1 drinks in a plastic bottle = $1.50

Then sum of costs  of 1 drink from each will be = 2.00+0.50+1.50


Given that you buy two of each then total cost will be given by 2(2.00+0.50+1.50)


Hence expression that represents the amount of money you will spend is 2(2.00+0.50+1.50).

Using distributive property, we can rewrite it as:

2(2.00+0.50+1.50)=2*2.00+2*0.50+2*1.50

This is final answer of part A.


----------

Given that refund on 1 drinks in a glass bottle = $0.05

Given that refund on 1 drinks in an aluminum can = $0.10

Given that refund on 1 drinks in a plastic bottle = $0.15

Then sum of refunds on 1 drink from each will be = 0.05+0.10+0.15


Given that you plan to recycle all of the items you purchased then total refund will be given by 2(0.05+0.10+0.15)


Hence expression to represent the amount of refund you will receive is 2(0.05+0.10+0.15).

Using distributive property, we can rewrite it as:

2(0.05+0.10+0.15)=2*0.05+2*0.10+2*0.15

This is final answer of part B.


----------

Net cost is given by difference of total cost and total refund

Net cost = 2(2.00+0.50+1.50) - 2(0.05+0.10+0.15)

= 2*2.00+2*0.50+2*1.50 - (2*0.05+2*0.10+2*0.15)

= 4+1+3 - (0.10+0.20+0.30)

= 8 - 0.60

= 7.40

Hence net cost is $7.40

You might be interested in
ralph earns $72,000 annually as an architect and is paid semimonthly. alice also ers $72,000 but she is paid biweekly. how many
alex41 [277]

We have been given that Ralph earns $72,000 annually as an architect and is paid semimonthly.

Semimonthly means twice in a month. There are 12 months in a year.

Therefore, in a year Ralph gets

12\times 2 = 24 \text{ checks}

Now, Alice also earns $72,000 but she is paid biweekly.

Biweekly means twice a week. There are 52 weeks in a year.

Therefore, in a year Alice gets

52\times 2 = 104 \text{ checks}

The difference in the number of checks is 104 - 24 = 80

Thus, Alice receives 80 more checks in a year when compared to Ralph.

6 0
3 years ago
Identify as a monomial, binomial, or trinomial.<br> 2x^2+5x-8
Korvikt [17]

Answer:

trinomial

Step-by-step explanation:

The expression is a trinomial because it consists of three terms (that's the definition of a trinomial. The three terms are: 2x^2, 5x, and -8.

3 0
3 years ago
Read 2 more answers
Graph the following lines and write the equation in slope-intercept form.
Taya2010 [7]

Answer:

y=mx+b

3=slope

1=y coordinate

-8=x coordinate

b=y intercept

Substitute m for 3

y=3x+b

Next, substitute the coordinate values

1=3(-8)+b

Solve

1=-24+b

+24 +24

25=b

Now substitute b and m for their respective values

y=3x+25

Step-by-step explanation:

3 0
3 years ago
Can i pls get help asap i will give brainly if the answer is right
Zanzabum
<h3>Answer:   0.5</h3>

This is equivalent to the fraction 1/2

==============================================================

Explanation:

The distance from A to B is 3 units. We can count out the spaces, or subtract the x coordinates of the two points and apply absolute value.

|A-B| = |-5-(-8)| = |-5+8| = |3| = 3

or

|B-A| = |-8-(-5)| = |-8+5| = |-3| = 3

We can say that segment AB is 3 units long.

--------------------------

The distance from A' to B' is 1.5 units because...

|A'-B'| = |-2.5-(-4)| = |-2.5+4| = |1.5| = 1.5

or

|B'-A'| = |-4-(-2.5)| = |-4+2.5| = |-1.5| = 1.5

The absolute values ensure the distance is never negative.

We can say A'B' = 1.5

---------------------------

Now divide the lengths of A'B' over AB to get the scale factor k

k = (A'B')/(AB)

k = (1.5)/(3)

k = 0.5

0.5 converts to the fraction 1/2.

The smaller rectangle A'B'C'D' has side lengths that are exactly 1/2 as long compared to the side lengths of ABCD.

3 0
3 years ago
ABC IS CONGRUENT TP DEF WHAT IS THE VALUE OF X Explain how you determined the answer
LenaWriter [7]

Answer:

3

Step-by-step explanation:

It is 3 because fi you multiply 5 by 3 you get 15, and if you multiply 10 by 3 you get 30. Subtract 30 by 6 and get 24. And finally, if you multiply 2 by 3 it gives you 9. 9+12= 21.

8 0
3 years ago
Read 2 more answers
Other questions:
  • The lighthouse on the beach casts a shadow that is 4848 feet long. Your friend is 5.55.5 feet tall and casts a shadow that is 2.
    11·2 answers
  • Find f(g(4)).<br> f(g(4)) =
    7·2 answers
  • What is the coordinate for the image of point H(2, –6) under a 90° clockwise rotation about the origin? H’(–6, –2) H’(6, –2) H’(
    7·2 answers
  • Find sin θ if cos θ = 4/7 and θ in quadrant IV.
    11·1 answer
  • The weight of male american between the ages 18 to 25 is normally distributed, with mean of 162.7 lb and a standard deviation of
    6·2 answers
  • The answers I don’t really understand the question
    8·2 answers
  • What are not a benchmark fraction
    13·1 answer
  • Write an arithmetic sequence whose common difference is 18
    8·1 answer
  • 200, 40,8,<br> Is this Arithmetic, geometric or neither
    7·1 answer
  • The triangles below are similar. Which similarity statement expresses the relationship between the two triangles?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!