Mathematics High School


5 pencils and 3 pens costs £11.
4 pencils and 6 pens costs £16.
Find the cost of a pencil.
Find the cost of a pen.

Answers

Answer 1

Answer:

The pencil is £1 and the pen is £2

Step-by-step explanation:

Let the pencil be p and let the pen be f.

5p + 3f = 11

4p + 6f = 16

the top one multiplies by two:

10p + 6f = 22

4p + 6f = 16    subtract

6p = £6

pencil = £1

Then you substitute the value of the pencil into the equation and find the value of the pen.

Related Questions

As an accountant, you have calculated income taxes for a customer for the last 3 years. During those three years, the customer made a tax payment of $1,250, received a tax refund of $550, and made a tax payment of $925. The customer also paid a processing fee of $60 each year.

Answers

Answer:

The total amount customer paid during those 3 years  is $1685

Step-by-step explanation:

We are supposed to find the total amount customer paid during those 3 years

Customer made a tax payment = $1250

He received a refund of amount = 550

So, amount paid by him = 1250-550

Amount paid by him ==700

Now again He made a tax payment = $925

Processing fee = $60

So, Total Amount paid by him =700+925+60

Total Amount paid by him =1685

Hence the total amount customer paid during those 3 years  is $1685

Question 4 of 5
Which statement correctly describes the expression 19.3?
A. Both factors are positive, so the product will be positive.
B. One factor is positive and one factor is negative, so the product
will be positive.
C. Both factors are positive, so the product will be negative.
D. Both factors are negative, so the product will be positive.
SUBMIT

Answers

Answer:

Step-by-step explanation:

a

ADRIENNE BIKED 24 MILES IN 4 HOURS. IF SHE BIKED AT A CONSTANT SPEED, HOW
MANY MILES DID SHE BIKED IN ONE HOUR?
1) WHAT IS THE RATE IN THIS SITUATION, WRITTEN AS A FRACTION?
2) WHAT IS THE UNIT RATE?
3) TO FIND THE UNIT RATE, WHAT DO WE DO? WHY?
4) WHAT DOES THE UNIT RATE MEAN IN THE CONTEXT OF THE PROBLEM?
I
5) HOW CAN YOU CHECK YOUR WORK?

Answers

Answer:

6 miles in one hour!

Step-by-step explanation:

1, 1/10

2, 6 mph

3, You divide 4 by 24, and you do that to get the answer

4, It means miles per hour, because Adrienne is biking a certain amount of miles in an hour.

5, You can multiply 6 by 4 and it will be 24.

If my answers were correct please mark brainliest <3

I dont get this, can anyone help?

Answers

Answer:

this is an x y coordinate plane, start with x and then move to y.

Answer this! :) Please

Answers

Angles 1 and 3 are vertical angles
Angles 5 and 8 are a linear pair
Angles 2 and 6 are corresponding angles

(-8.9)
how do you do this Coordinate plane?

Answers

Answer:

On the right lower corner on the line that is up and down should be on -8 and the left to right should be on positive 9

Step-by-step explanation:

Algebra, please help ASAP

Answers

Answer:

D

Step-by-step explanation:

Find the value of x.
1)
59
(6x + 5)

Answers

Answer:

Is 59 equal to (6x + 5)?

If so than your answer is: x = 9 [The value of x is 9]

Explanation:

Given 59 = (6x + 5), x is the value that makes 59 = 59.

Therefore:

59 = (6x + 5)

*given*

59 =(6x + 5)

-5 -5

*subtraction property of equality*

54 = 6x

÷6 ÷6

*division property of equality*

9 = x

x = 9

*symmetric property of equality*

_________________________

To check just substitute, simplify, and make sure 59 = 59:

x = 9 → 59 = (6x + 5) → 59 = (6(9) + 5) → 59 = (54 + 5) → 59 = 59

what is 0.3% of 3.7%? round to the nearest hundredth

Answers

i got .000111 ... if right make me brainliest

The points (-5, -6) and (-8, 9) fall on a particular line. What is its equation in point-slope
form?
leon

Answers

Answer:

y = 1m - 1

Step-by-step explanation:

(3.955 x 10') + (2.473 x 103) Do help TwT​

Answers

Answer:

294.669'

Step-by-step explanation:

Simply use order of aperations and solve for the equation. Perenthesis then addition for this specific situation.

8x+5x (im stupid ik)

Answers

Answer:

the answer would be 13x

Step-by-step explanation:

Hope this helps! You are not stupid! Hope you learn how to do it. :)

The answer would be 13x

Henry is three more than twice Nicholas’ age. Marcus is 9 less than six times Nicholas’s age. If Henry and Marcus are twins, how old is Nicholas?

Answers

Answer:

Step-by-step explanation:

Henry is 3 more than twice Nicholas' age. You can write this as :

H = 3 + 2N

Marcus is 9 less than 6 times Nicholas' age:

M = 6N - 9

Since Henry and Marcus are twins, this means H = N.

3 + 2N = 6N - 9

Add 9 to both sides

12 + 2N = 6N

Subtract 2N from both sides

12 = 4N

Divide both sides by 4 to find N.

N = 12/4 = 3

If the radius of the circle is 5 inches, what is the diameter?

10 inches
5 inches
25 inches
2.5 inches

Answers

10 inches because diameter is double the radius

Answer:

10 Inches

Step-by-step explanation:

Remember the radius is always half the diameter. So, r * 2 = d. Plug those in...

5 * 2 = 10.

Therefore, the answer is 10 inches.

PLEASE HELP.!! ILL GIVE BRAINLIEST *EXTRA POINTS* DONT SKIP.!! :((

Answers

-59 is the lowest one

-59, -41, -23, -11.

I can see how this can be confusing, Just remember if its a negative number, the bigger it is, the smaller the quantity, if that makes sense.

f(x) = square root x-3
g(x) = x^2 +3

Use composition to verify whether the functions are inverses of each other. If the functions are inverses, what is f(g(x))?

A) The functions are not inverses of each other.

B) The functions are inverses. f(g(x)) = 1

C) The functions are inverses. f(g(x)) = x^2

D) The functions are inverses. f(g(x)) = x

Answers

I think the answer is c

What is g(–3) in the function g(x) = 4x2 + 3?

Answers

Answer:

x is equal to -3. So it would be g(-3)=4(-3)+3 and the solve that.

Step-by-step explanation:

Hope this is helpful

16. If mZ3 = 74°, find each measure.
Note: 1 || m
a. mZ1 =
e. m26 =
14-
b. m2=
f. m27 =
3
C. m4=
g. m28=
d. mZ5 =

Answers

1 - 74

2- 106

3- 74

4- 106

5- 106

6- 74

7- 106

8- 74

What is the value of x in this triangle?

Answers

Answer:

A is the answer

Step-by-step explanation:

3*30 is 90 2*30 is 60 and x*30 is 30 which means 90+60+30 equals 180


What do the differences between the points (as shown on the graph) represent?
Please answer

Answers

Answer:

Answer:

They represent the rise and run of the graph.

Step-by-step explanation:

Step-by-step explanation:

The difference between the x-axis of the points represents the "run" of the graph (or how much you should run along x-axis to get to the next point.)

The difference between the y-axis of of the points represents the "rise" of the graph (or how much you should rise up the y-xis to get to the next point).

The ratio of rise to run is the slope of the graph, which tells us  how many steps should we take on the y-axis for every step we move forward on the x-axis.

They represent the rise and run of the graph.  

The difference between the x-axis of the points represents the" run" of the graph( or how  important you should run along x-axis to get to the coming point.)  The difference between the y- axis of of the points represents the" rise" of the graph( or how  important you should rise up the y- x is to get to the coming point).  

The  rate of rise to run is the slope of the graph, which tells us how  numerous  way should we take on the y- axis for every step we move forward on the x-axis.

To know more about slope of the graph visit:

https://brainly.com/question/14548961

#SPJ2

Help please brainliest and 63 points!
And please answer correctly :)

Determine the horizontal asymptote for the rational function.
y = 5
y = −5
y = 1
y = −1

Answers

Answer:

y = 1

Step-by-step explanation:

horizontal asymptote

This is the value that the graph approaches but never reaches

It approaches 1 but never reaches 1

y = 1

What do you add to 2 5/7 to make 4?

What do you add to 4 2/9 to make 6?

Answers

Answer:

For each question, just subtract the bigger number from the smaller one :D

jas is 8 years younger than Sandeep 10 years ago their ages total 20 how old are they now​

Answers

Answer: Jas is 9, and Sandeep is 11.

Step-by-step explanation: 9 + 11 = 20

A water tank already contains 55 gallons of water when Jenny begins
to fill it. Water flows into the tank at 8 gallons per minute. What is the
volume of water in the tank after 25 minutes?
a. 145 gallons
200 gallons
b. 255 gallons c.200 gallons
d. 1383 gallons

Answers

Answer:

200

Step-by-step explanation:

8x25=200

What's the fraction of this equation 0.017

The fraction is _______

Answers

the fraction would be 17/1000

Multiple
(3x – 4)(2x²–5x+1)

Answers

Multiply each term in the first expression by each term in the second expression and combine like terms.
The Answer is
6x^3 - 23x^2 + 23x - 4

Which can represent the intersection of a line and a plane.
A) a segment
B) a ray
C ) a plane
D) a point

Answers

D) a point

I say this because in geometry , a point is said to be the place where a line and a plane meets at empty space (which three dimensional)


Given: Y is the midpoint of XZ
Prove: XY = 1/2 XZ
Statements
Reasons

Answers

Answer:

The proposition If Y is the midpoint of XZ, then XY = 1/2 XZ is true.

Step-by-step explanation:

We proceed to present the demonstration of the following proposition:

If Y is the midpoint of XZ, then XY = 1/2 XZ.

1) Y is the midpoint of XZ. Given.

2) [tex]XY + YZ = XZ[/tex] Definition of line segment.

3) [tex]XY = YZ[/tex] By 1)

4) [tex]2\cdot XY = XZ[/tex] 3) in 2)

5) [tex]XY = \frac{1}{2}\cdot XZ[/tex] Algebra/Result

Therefore, the proposition If Y is the midpoint of XZ, then XY = 1/2 XZ is true.

diet cola is on sale, and for $10 you can buy 4 packs of diet cola.
how much does 1 pack of diet cola cost?

Answers

Answer: $2.50

if 10 dollars can buy 4 packs of cola then you need to divide 10 by 4 10/4=2.50 so 1p=$2.50

Answer:

you divide 4 by 10 to get the answer

10÷4=2.5

Select the correct answer.
The product of two numbers, x and I + 3, is 550. Which equation could be solved to find the value of the smaller number, x?
CA. 12 + 3.1 = 550
B. 12 + 3 = 550
C. 31 + 3 = 550
D. 322 = 500
Reset
Next

Answers

Answer:

the answer on plato is x^2+3=500

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