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
Slav-nsk [51]
3 years ago
11

Megan went to the store and bought 4 notebooks and 9 pencils for a total of $8.25. Joanne went to the same store and bought 7 no

tebooks and 14 pencils for a total of $14. What was the price per pencil and the price per notebook?
Mathematics
1 answer:
Rzqust [24]3 years ago
5 0
Let notebooks be x and let pencils be y

4x+9y=8.25 (equation 1)
7x+14y=14.00 (equation 2)

Multiply equation 1 by 7
So that you get 28x+63y=57.75

Multiply equation 2 by 4
So that you get 28x+56y=56.00

28x+63y=57.75 -
28x+56y=56.00
-----------------------
7y=1.75

Divide both sides by 7
1.75/7 is 0.25

So, now we know that one pencil costs 0.25 cents

Sub this y value into equation one

4x+9(0.25)=8.25

4x+2.25=8.25

Move 2.25 to the other side as a negative number

4x= 6

Divide both sides by 4

6/4 is $1.50

So, one pencil is equal to 0.25 cents and one notebook is equal to $1.50
You might be interested in
It is currently ___ for me right now.
Sonja [21]

1:24 since this was asked a min ago

3 0
2 years ago
OA=<br> Please help asap!! Thanks so much :))
Mashcka [7]

In the given diagram, the value of the dashed side of rhombus OABC is 5

<h3>Distance between two points </h3>

From the question, we are to determine the length of the dashed line (OA), in rhombus OABC

In the diagram, we can observe that the length of OA is the distance between point A and the origin (O).

Using the formula for calculating distance between two points,

d =√[(x₂-x₁)² + (y₂-y₁)²]

In the diagram,

The coordinate of the origin is (0, 0)

The coordinate of point A is (3, 4)

Thus,

x₁ = 0

x₂ = 3

y₁ = 0

y₂ = 4

Putting the parameters into the formula, we get

OA =√[(3-0)² + (4-0)²]

OA =√(3² + 4²)

OA =√(9+16)

∴ OA =√25

OA = 5

Hence, in the given diagram, the value of the dashed side of rhombus OABC is 5

Learn more on Distance between two points here: brainly.com/question/24778489

#SPJ1

5 0
2 years ago
HELP ME PLEASE!!!
xz_007 [3.2K]

Answer:

3/32

Step-by-step explanation:

6 0
3 years ago
What 54/100 in simplest form
DanielleElmas [232]

Answer:

27/50

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
mr. smith has a maximum of $50 to spend at a museum. a ticket to the museum costs $7. he can spend p dollars to buy other things
7nadin3 [17]

The inequality that can be used to find the values for p is p + 7 ≤ 50.

Given the information,

Mr. Smith can only spend up to $50 at a museum. The museum admission ticket is $7. He can use his P dollars to purchase other items from the museum.

The total budget is $50.

The cost per ticket is $7

⇒ Total spent ≤  Total Budget

⇒ p + 7 ≤ 50

⇒ p ≤ 43

Therefore, p + 7 ≤ 50 will be the inequality that aids in determining the range of values for p.

To learn more about inequality click here:

brainly.com/question/20383699

#SPJ4

5 0
1 year ago
Other questions:
  • a cylindrical barrel has a height of 8 feet and a diameter of 6 feet. What is the approximate volume of the barrel
    10·1 answer
  • A ball pit has 150 balls in it. the number of red is three times orange and green and blue together is exactly half the number o
    6·1 answer
  • 12^2=17x+5 show the work
    6·1 answer
  • 18. A science teacher has a supply of 20% saline solution and a supply of 50% saline solution. How much of each solution should
    9·1 answer
  • Point R is at (3, 1.3) and Point T is at (3, 2.4) on a coordinate grid. The distance between the two points is ____. (Input numb
    9·2 answers
  • PLZ HELP I'M STUCK TY!
    11·1 answer
  • Which term describes the part of the area of a circle formed by an arc and two radii which intersect the endpoints of the arc?
    12·2 answers
  • I’m extremely stressed and anxious again so please help me pre cal i hate how i don’t understand
    7·1 answer
  • Kade has 100 flag pins. He has 221 frog pins and 10 dinosaur pins. How many flag and frog pins does Kade have?
    14·1 answer
  • Does the following relation represent a function?
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!