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
dangina [55]
3 years ago
14

John and Ariana bought school supplies. John spent $11.00 on 5 notebooks and 7 pens. Ariana spent $7.00 on 4 notebooks and 2 pen

s. What is the cost of 1 notebook and what is the cost of 1 pen?
Mathematics
1 answer:
emmainna [20.7K]3 years ago
5 0

Step-by-step explanation:

set notebooks as x, set pens as y

1. 5x + 7y = 11

2. 4x + 2y = 7

1.  times by 2

10x + 14y = 22

2. times by 7

28x + 14y = 49

2. minus 1.

18x = 27

x = 1.5

sub 1.5 into 2.

4(1.5) +2y = 7

6+2y = 7

2y = 1

y = 0.5

Therefore, x = 1.5, y = 0.5

You might be interested in
Two congruent 30-60-90 triangles are placed,as shown,so that they overlap partly and their hypotenuses coincide. If the hypotenu
Ede4ka [16]

Answer: The area common to both triangle is 31.77 sq. cm.

Step-by-step explanation:

Since we have given that

30-60-90 triangles are placed.

So, the ratio of sides would be

1:\sqrt{3}:2

Since Hypotenuse = 12 cm

So, it becomes,

2x=12\\\\x=\dfrac{12}{2}=6

So, Base would be

x=6\ cm

and Perpendicular would be

\sqrt{3}x=6\sqrt{3}

So, Area common to the both triangles would be

\dfrac{1}{2}\times base\times height\\\\=\dfrac{1}{2}\times 6\times 6\sqrt{3}\\\\=18\sqrt{3}\\\\=31.177

Hence, the area common to both triangle is 31.77 sq. cm.

4 0
3 years ago
A shop has a sale that offers 20% off all price. On the final day they reduce all the sale prices by 25%. Linz buys a radio on t
erastova [34]
Hmmmm is not very clear if the 25% is just 25% of the original price, or of the reduced price, but let's assume is of the reduced price.

say the original price is "x", 20% off that, means the sale price is 80% of the original price, or (80/100) * x, or 0.8x.

then Linz shows up on the last day, and she's got 25% off from that price plus a beanie baby and a free garden hose.

so if the price is reduced by 25%, then the sale price is just 75% of whatever it was, but it was already reduced to 0.8x, what is 75% of 0.8x?

(75/100) * 0.8x, or 0.75 * 0.8x, which is 0.6x, now 0.6 * 100 is 60 to change it to percentage format, or 60% overall percentage reduction from the original price.
6 0
3 years ago
What if a fence painting competition allowed pairs to compete? If Ben Rogers can paint the fence in 8 min on his own and Johnny
Delvig [45]

Answer:

I'm confused on what it's asking

Step-by-step explanation:

7 0
3 years ago
N students joined the radio control club. Some had boats, some had airplanes, and some had cars. They divided into 3 equal group
ludmilkaskok [199]

Answer:

36 people joined the radio control club.

Step-by-step explanation:

15-3= 12

12*3=36

5 0
3 years ago
The table below shows how much it costs per gallon to fill a gas tank with premium
Leni [432]

47.50/10 = 4.75

57/12 = 4.75

76/16 = 4.75

The unit rate is C. $4.75

6 0
3 years ago
Other questions:
  • Kendal is doing her science homework. For each problem, she uses 3/4 of a sheet of paper. How many sheets of Will she need to co
    10·1 answer
  • 2y+8x=1 in slope intercept form
    7·1 answer
  • Find the vertex of this parabola.
    5·1 answer
  • The pirates football team has played 75% of its games so far this seasons. If the team has played 9 games, how many games are th
    9·2 answers
  • Identify the graphs.......
    7·2 answers
  • The perimeter of a rectangular garden is 40 it. The length is 2 ft more than the width. Find the length and the width of the gar
    7·1 answer
  • Simplify 100<br> <br> A. 20<br> B. 10<br> C. -10<br> D. -25
    6·2 answers
  • Which expression has a solution of 27, if r = 3? 8 r 6 r 9 r 7 r
    9·1 answer
  • When a normal six sided die is rolled what is the probability of getting a 7
    13·2 answers
  • Name a pair of complementary angles in this figure.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!