4. Ann bought four pens and three exercise books for a total of sh 17 while peter bought five
similar pens and two exercise books for a total of sh.16 find the cost of a pen and an exercise
book.​

Answers

Answer 1
4X+3Y=17
5X+2Y=16

Times 5=20X+15Y=85
Times 4=20X+8Y=64

7Y=21
Y=3,X=2
Answer 2

Answer:

pen = 2    book = 3

Step-by-step explanation:

p= pens

b=books

4p +3b =17

5p+2b=16

Multiply the first by 5

Multiply the second by -4

Add both (p variable will ce cancelled)

20p +15b = 85

-20p  -8b = -64

           7b = 21

              b=3        (book =3)

Lets plug this in one of the equations

4p + 3x3 = 17

4p +9 0 19

4p = 8

p= 2   (pencil = 2)


Related Questions

A factory makes car batteries. The probability that a battery is 1/14. If 400 batteries are tested how many are defective

Answers

Answer:

1/14 of 400 batteries = 56 batteries

Step-by-step explanation:

[tex]400 \times 0.14[/tex]

Answer:

Actual: 28.57

Rounded: 29

Step-by-step explanation:

400/14 = 28.57

Round to nearest whole number: 29

Correct on A P E X

PLEASE HELP ILL MAKE BRAINLIEST ​

Answers

Answer:

56°

Step-by-step explanation:

180 = 40 + (2x) + (3x)

180 - 40 = 40 + 5x - 40

140/5 = 5x/5

x = 28

2(28)

= 56

Answer:

m∠A = 56°

Step-by-step explanation:

A triangle contains 180°. So

180 - 40 = 140

2x + 3x = 140

5x = 140

x = 28

Now, plug in the value for x.

2(28) = 56

Check your work.

40 + 56 + 84 = 180

Some plsss helppppppp

Answers

$ -50

Step-by-step explanation:

they gain no profit since they spent more money than they had

Answer:

$-50 dollars

Step-by-step explanation:

let me know if I'm wrong

Which sentence about measuring angles is true?

Answers

Answer:

The first option

Step-by-step explanation:

Im smart

Suki has 10 rock songs, 11 dance songs 12
salsa songs and 7 classical songs on her
playlist. If Suki's music player randomly
selects a song from the playlist, what is the
experimental probability that the song will be
a classical song?
Answers MUST be written as a fraction only.

Answers

Answer:

7/40

Step-by-step explanation:

possible outcomes = 10+11+12+7 = 40

favourable outcome = 7

theoretical probability  = favourable outcomes/possible outcomes

therefore, 7/40 is the answer

8/9 ÷ 2/3 - 5/6
step by step fast​

Answers

Answer:

is 1/2 or .5

Step-by-step explanation:

What is 528,492 rounded to the nearest thousand?

Answers

Answer: 528,000

Step-by-step explanation: to easy

Solve for X PLEASE HELP DUE IN 10 MINS

Answers

Answer:

x = 4

Step-by-step explanation:

90 + 70 + 5x = 180

160 + 5x = 180

180 - 160 = 20

20 / 5 = 4

According to the graph, what is the value of the constant in the equation
below?

Height=
Constant/Width

(4, 25)
(5, 20)
(10, 10)
(20,5)


Answers

Answer:

100

Step-by-step explanation:

x-value is width and y-value is height. Therefore if you multiply the height x width you get the constant.

The value of the constant in the equation is 100.

What is the graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

Given that, Height=Constant/Width

1) (4, 25)

Here, Height = 25 and Width = 4

25 = Constant/4

Constant = 100

2) (5, 20)

Here, Height = 20 and Width = 5

20 = Constant/5

Constant = 100

3) (10, 10)

Here, Height = 10 and Width = 10

10 = Constant/10

Constant = 100

4) (20, 5)

Here, Height = 20 and Width = 5

20 = Constant/5

Constant = 100

Therefore, the value of the constant in the equation is 100.

To learn more about the graph visit:

brainly.com/question/14375099.

#SPJ7

I’ll give BRAINLIEST to best answer, please answer fast.

Answers

2 waffles =3$

2x4=8 waffles (How many waffles Sage wants)

3 + 3 + 3 + 3= 12  (or 3x4)

(2) (4) (6) (8)

12$ at I Scream

4 waffles= 4$

4 waffles x2=8$

8$ at Scoopz

12-8= 4

Sage would save 4 dollars if she got 8 waffles at Scoopz.

What is an excess-3 BCD code? Which shortcoming of the 8421 BCD code is overcome in the excess-3 BCD code? Illustrate with the help of an example.

Answers

It is extremely significant for mathematical operations since it solves a problem with the 8421 BCD code that arises when adding two decimal digits whose total is more than 9.

In contrast to standard non-biased BCD or binary positional number systems, excess-3 arithmetic employs a distinct method.

What is Excess-3 Code?

An Excess Code also written as XS3 is a code that is non-weighted. It is used to depict express decimal numbers.

Hence, in contrast to standard non-biased BCD or binary positional number systems, excess-3 arithmetic employs a distinct method.

Learn more about Excess-3 Code at;
https://brainly.com/question/1511370
#SPJ6

PLZZZ HELP MEEEEE!!!!

Answers

Answer:

She would use the mean.

Step-by-step explanation:

Hey can you help me fast!!

Answers

Answer:

I believe the answer would be -4 1/2.

13/18 goodluckkkkkyyyy

the diagram shows a cuboid.what is the surface area of the cuboid
plz help​

Answers

Answer:

202 cm

Step-by-step explanation:

You need to add the areas of the faces, and since it is a cuboid opposite faces are the same. If you do 2(5x9) + 2(4x9) + 2(4x5) you will get your answer.

Answer:

Hello Love! Answer: 202

Step-by-step explanation:

First off we have to do all 6 faces remember that each face will have a matching face that goes along with it so Imma start with the front face that would be 9 x 5 = 45 same for back face

Then ill do sides that will be 5 x 4 = 20 for both left and right sides Then ill do top and bottom

thats 4 x 9 = 36 Now ill add all of these up.

So 45 + 45 + 20 + 20 + 36 + 36 and that = 202

The inverse of x + y is ?

Answers

Answer:

y + x

Step-by-step explanation:

The inverse of x+y is y+c

I make $8 dollars per hour (H) for babysitting. I make a total (T) dollars babysitting on Saturday. In the space below, identify the Independent Variable (either H or T), the Dependent Variable (either H or T), and write an equation based on this information (include 8, H, T, and an = sign).

Answers

Answer: 8H=T

Step-by-step explanation:

8 is dependant on the hours so you put it together. Your independent

value is T since it is by itself. So your answer becomes.

8H=T

Question 3 (4 points)
Find the surface area of a sphere with a circumference of 172 mm. Round to the nearest tenth.

9416.9 mm
27.4 mm
4708.4 mm
749.4 mm

Answers

Answer:

a. 9,416.9 mm²

Step-by-step explanation:

Given:

Circumference of a sphere = 172 mm

Required:

Surface area of the sphere rounded to nearest tenth

Solution:

First, we need to determine the radius of the sphere since we know the circumference.

Circumference = 2πr

Plug in the value of the circumference

172 = 2*π*r

Divide both sides by 2π

172/2π = r

86/π = r

r ≈ 86/π

Next, find the surface area of the sphere

Surface area = 4πr²

plug in the value of r

Surface area = 4*π*(86/π)²

= 4*π*86²/π²

= 4*7,396/π

= 9,416.87967

≈ 9,416.9 mm² (nearest tenth)

PLZ HELP!! brainliest and 40pnts
PT 1

Find the volume of a cone that has a radius of 1/2 and a height of 1.

a) 3/2 pi b) 3/4 pi c) 1/12 pi D) 1/6 pi


PT 2

Find the volume of a cylinder that has a radius of 1/2 and a height of 1.

a) 1/2 pi b) 1/4 pi c) 3/2 pi d) 4 pi

Answers

Answer:

PT 1: C

PT 2: B

Step-by-step explanation:

In order to find the volume of a cone use equation

[tex]V=\pi r^2\frac{h}{3}[/tex]

To find the volume of a cylinder use equation

[tex]V=\pi r^2h[/tex]

what type of object is pictured below?

Answers

Answer: segment

Step-by-step explanation:

Answer:

B. Segment

Step-by-step explanation:

what is y=-3x-5 in standard form?

Answers

Answer:

3 x-y=5

Step-by-step explanation:

3x-Y= 5 here you go!

A girl throws a paper airplane from her treehouse. The height of the plane is a function of time and can be modeled by the equation ℎ()=25+2.5−122. Height is measured in feet and time is measured in seconds.

Answers

h(0) show the initial height of the plane, that is 25 feet.

The given equation is h(t)=25+2.5t-1/2 t².

Here, h(0)=25+2.5(0)-1/2 (0)²

h(0)=25

This shows the initial height is 25 feet.

Therefore, h(0) show the initial height of the plane, that is 25 feet.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ1

"Your question is incomplete, probably the complete question/missing part is:"

A girl throws a paper airplane from her treehouse. The height of the plane is a function of time and can be modeled by the equation h(t)=25+2.5t-1/2 t². Height is measured in feet and time is measured in seconds.

Evaluate h(0) and explain what this value means in this situation.

Find the probability that a student is not playing a sport or not taking a foreign
language using the Venn Diagram below.

Answers

Answer:

18/25

Step-by-step explanation:

Total number of students = 23+14+10+3 = 50.

14 out of 50 are playing sport and taking a foreign language.

So the answer is (50 - 14) / 50

= 36/50

= 18/25.

Answer:  B) 18/25

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

Explanation:

The wording your teacher provided is a bit strange in my opinion. Though I think they are referring to the people who aren't taking both classes at the same time, but they could be taking exactly one class.

We have 23+14+10+3 = 50 students total and 14 of them are taking both classes. So 50-14 = 36 students are taking exactly one class, or they are taking neither of the classes.

This leads to a probability of 36/50 = (2*18)/(2*25) = 18/25 which points to choice B as the answer.

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

Side note:

If it asked "what is the probability that a student is not taking a sport AND not taking a foreign language?", then the probability would be 3/50 because there are 3 people not taking either class out of the 50 total. So the keyword "and" is the change made here, instead of the "or".

If n + n + 2 = 10, then n= ____.

Answers

Answer:

n = 4

Step-by-step explanation:

Combine like terms and solve.

n + n + 2 = 10

2n + 2 = 10

2n = 8

n = 4

Sandra can run 3 miles in 20 minutes. How many minutes will it take her to run 7 miles?

Answers

Answer:

46.7 minutes to run 7 miles

Step-by-step explanation:

3 miles in 20 minutes boils down to the unit rate 3/20 miles/minute.

Multiply 7 miles by the unit rate (20/3 minutes/mile):

(7)(20)

---------- minutes, or approximately 46.7 minutes to run 7 miles

     3

I need help ASAP

Also I need to show work on it because it is for my homework

Answers

Answer:4.5

Step-by-step explanation:


Lynette has a metal doorstop with the dimensions shown.
Each cubic centimeter of the metal in the doorstop has a mass
of about 8.3 grams. Find the volume of the metal in the
doorstop. Then find the mass of the doorstop.


Answers

Volume = 105in³

Mass = 871.5g

To find the volume of the metal we can find the area of a base, and multiply it by the prism's width.

The base is 30cm in area, and the width is 3.5cm, which makes the volume 105in³

The mass of the doorstop can be found by just multiplying the grams per cubic centimeter by the volume, which would be 871.5g

The interior angles formed by the sides of a hexagon have measures that add up to 720°. What is the measure of angle F? Need HELP ASAP

Answers

X = 160 because you can set this problem up like an equation by having all the angles added together to equal 720

9 An exponential function is graphed on the grid.
V
20
18
16
14
112
6
2
1
2
3
4
5
6
7
Which function is best represented by the graph?
A g(x) = 6
= (3)
B g(x) = 6(3)*
C g(x) = 6 -
3
D g(x) = 6 -(3)*

Answers

The first one is the answer

Dave's father is paying him to paint the storage
shed. Write a formula that will help them
decide how many cans of paint to buy.
Let's let
p = area covered by a can of paint
W = the total area of the walls
n = number of paint cans to buy.

Answers

Answer:

Number of paints to buy, n = The total area of the walls, W / Area covered by a can of paint, p

Step-by-step explanation:

Let's

p = area covered by a can of paint

W = the total area of the walls

n = number of paint cans to buy

Number of paints to buy, n = The total area of the walls, W / Area covered by a can of paint, p

That is,

n = W / p

If the total area of the walls = 100 m²

A can of paint covers 5 m². Find the number of cans of paint needed?

Number of paints to buy, n = The total area of the walls, W / Area covered by a can of paint, p

n = W / p

= 100 m² / 5 m²

n = 20 cans of paint

a particle moves along a horizontal line. Its position function is s(t) for t>0. For each problem, find the velocity function v(t) and the acceleration function a(t).
s(t)=t^3-t^2-56t

Answers

Answer:

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