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
harina [27]
3 years ago
11

Spends a total of $38.75 on 5 drinks and 2 bags of popcorn. Noah spends a total of $37.25 on 3 drinks and 4 bags of popcorn. Wri

te a system of equations that can be used to find the price of one drink and the price of one bag of popcorn.
Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
5 0

Answer:

3d + 4p = $37.25

5d + 2p = $38.75

Actual Answer:

Bag of popcorn is $5

A drink is $5.75

Step-by-step explanation:

Let drinks = d

Let popcorn = p

Noah: 3d + 4p = $37.25

Other: 5d + 2p = $38.75

Choose a variable to eliminate (We'll choose p)

3d + 4p = $37.25

(5d + 2p = $38.75) -2

Distribute

-10d - 4p = -77.5

The -4p cancels out the 4p, then we combine

-7d = -40.25

Divide both sides by -7

-7d/-7 = -40.25/-7

d = 5.75

Back to 3d + 4p = $37.25

Substitute d with 5.75

3(5.75) + 4p = $37.25

17.25 + 4p = 37.25

Move the constant to the other side

17.25 + 4p = 37.25

-17.25           -17.25

4p = 20

Divide both sides by 4

4p/4 = 20/4

p = 5

You might be interested in
Which expression can be used to find the price of a $400 telescope after a 32% markup? Select all that apply.
elena-s [515]
<h3>There are 2 answers: choice C, choice D</h3>

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

Explanation:

32% = 32/100 = 0.32

32% of 400 = 0.32*400 = 400(0.32), which adds onto the original 400 to get 400+400(0.32). This is why choice D is one of the answers.

We can factor out the GCF 400 to go from 400+400(0.32) to 400(1+0.32) which then simplifies to 400(1.32) or just 400*1.32. This shows choice C is the other answer. Using a calculator,

400+400(0.32) = 400 + 128 = 528

400*1.32 = 528

meaning that 400+400(0.32) = 400*1.32

The other answer choices result in other values, showing that they aren't equivalent to 528.

6 0
3 years ago
Write the fraction as a decimal.<br><br> 16/5
Sedbober [7]

Answer:

3.2

Step-by-step explanation:

6 0
3 years ago
Please answer thank you
Alchen [17]
-x - 9 \geq 5

You want to get x by itself.

First subtract 9 from both sides of the equation.

-x - 9 \geq 5
    +9                 +9

-x \geq 14

Then divide -1 on both sides.

-x/-1 \geq 14/-1

I'm pretty sure when you divide a negative number when solving inequalities, you switch the sign.

x \leq 5

8 0
3 years ago
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Minchanka [31]

Answer:

Step-by-step explanation:

2k+10   | Both terms share the common factor two, so you can take it out (divide both terms by 2)

2(k+5)  | Now if you use the Distributive Property to double check, you get 2k+ 10 again

4 0
3 years ago
Factor the expression:
Dovator [93]

Answer:

  B)  (4x-5i)(4x+5i)

Step-by-step explanation:

The expression can be treated as the difference of squares, and factored accordingly. That factoring is ...

  a² -b² = (a -b)(a +b)

__

Here, we have ...

  a² -b² = 16x² -(-25)

  a² = 16x²   ⇒   a = 4x

  b² = -25   ⇒   b = √-25 = 5i

Then the factoring is ...

  (a -b)(a +b) = (4x -5i)(4x +5i)

6 0
3 years ago
Other questions:
  • Which coordinates will best represent point A'?
    6·2 answers
  • Sarah made pizzas for her party. She put meat on 1/2 of the pizzas. Only 1/4 of the meat pizzas has sausage on them. How many of
    15·2 answers
  • Please help all these questions on the volume of a sphere
    12·1 answer
  • Which are independent events? Check all that apply. rolling a number cube twice picking 2 marbles from a bag, without replacemen
    15·3 answers
  • if someone drives 50 miles in an hour and then drive from nine in the morning to five in the afternoon how Many hours do they dr
    11·1 answer
  • PLEASE HELP i don’t understand
    5·1 answer
  • Can someone check my answers if they are correct or incorrect? If it is incorrect, please let me know why it is incorrect please
    11·1 answer
  • Helppppppppppppp pleaseeeeeeeeeeeeeeee
    9·1 answer
  • A line passes through the points (2, -4) and (6, 10). What is the equation of the line?
    6·1 answer
  • Which is the best peer evaluation of the conclusion? the details and mechanics are good, but sentences 2 and 3 should be reorgan
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!