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

need help with 3 easy math problems​

Answers

Answer:

p=9 m=21 x= - 30

Step-by-step explanation:

p=9

m=21

x= - 30

Step-by-step explanation:

1) 3p + 5 = 14

3p = 14 - 5

3p = 9

p = 9/3

⇢ p = 3

2)

m/7 - 3 = 0

m/7 = 3

m = 3 × 7

⇢ m = 21

3) 8 + x/2 = -7

x/2 = -7 - 8

x/2 = - 15

⇢ x = -30

Which of the following does not represent a function? (1 point)
Answer this as quick as possible


Answers

Answer:

The oval

Step-by-step explanation: A function must pass the vertical line test.

Answer:

The third one (oval)

Step-by-step explanation:

To see if something is a function or not, you do the vertical line test. So just draw lines vertically over the x-values. If an x-value has more than one y-value then it is not a function. It is a relation.

Two sides of a rectangle are the same length, r. The other two sides are each 4 meters.
The perimeter of the rectangle is 26 meters,
Write an equation that represents
the situation.

Answers

Answer:

4 times 4 plus 10

Step-by-step explanation:

there are waaaay more ways than just this there is

( 8 times 2 ) plus ( 5 times 2 )

and

( 5 plus 5 ) plus 16

plz mark me as brainiest

Answer:

equation=  2r+8=26

r = 9

Step-by-step explanation:

i got this lesson that's the answer.

2r+8=26

    -8  -8

 2r = 18

18/8 = 9

r=9

Find the missing side in the similar figure below

Answers

Answer:

30

Step-by-step explanation:

20 divided by 12 is 5/3.

18x5/3 is 30, meaning the missing side is 30.

The value of x from the diagram is 30

Similar shapes

These are shapes with the same sides and angles

From the given figures, we are to get the value of x as shown.

Using the similarity theorem;

18/12 = x/20

Cross multiply

12x = 18 * 20

12x = 360

x = 30

Hence the value of x from the diagram is 30

Learn more on similar shapes here: https://brainly.com/question/2644832

(4v³w)(-2w³)² in simplest form​

Answers

Answer:

16 v^3 w^7

Step-by-step explanation:

Simplify the following:

4 v^3 w (-2 w^3)^2

Hint: | Distribute exponents over products in (-2 w^3)^2.

Multiply each exponent in -2 w^3 by 2:

4 v^3 w×(-2)^2 w^(2×3)

Hint: | Multiply 2 and 3 together.

2×3 = 6:

4×(-2)^2 v^3 w w^6

Hint: | Evaluate (-2)^2.

(-2)^2 = 4:

4×4 v^3 w w^6

Hint: | Combine products of like terms.

4 v^3 w×4 w^6 = 4×4 v^3 w^(1 + 6):

4×4 v^3 w^(1 + 6)

Hint: | Evaluate 1 + 6.

1 + 6 = 7:

4×4 v^3 w^7

Hint: | Multiply 4 and 4 together.

4×4 = 16:

Answer: 16 v^3 w^7

Help ASAP PLZ HELP ME​

Answers

Answer:

Step-by-step explanation:

the sum of angles of triangle=180 degrees

one angle=90 degrees

180-90=90 degrees is the measure of the other two angles

since the two angles are congruent or equal

90/2=45 degrees

the measure of the 2 angles =45 degrees each

pls help me out its needed

Answers

Answer:

150 students

Step-by-step explanation:

30%+60%=90%

15=10%

multiply by 100 on both sides then simplify

Mike discovered an error in his checking account register and when he recalculated his balance he
was overdrawn in the amount of -$738.57. Mike saved two of his paychecks in the amount of $300.40
each in case of emergencies. If Mike deposited the amount he saved, what would be his current balance?

Answers

Answer:

Mike would have -438.17, poor mike lol

Show work, and find the product.
−4x5(11x3+2x2+9x+1)

Answers

Answer:

-44x⁸–8x⁷–36x⁶–4x⁵

Step-by-step explanation:

when you expand problems like these you need to multiple the number in front of the variable the the other numbers in front of the variables and add the exponentslike this-4•11= -44 | 5+3=8 I -44x⁸-4•2= -8 | 2+5=7 | -8x⁷-4•9= -36 | 1+5=6 | -36x⁶-4•1= -4 | 0+5=5 | -4x⁵put it all together and you get -44x⁸–8x⁷–36x⁶–4x⁵

if my explanation is confusing I'm sorry feel free to ask questions

A sewing kit includes a spool that holds 24 yards of thread

How many inches of thread does the spool hold (1 yard = 3, 1 foot = 12 inches)

Answers

Answer:

864 inches

Step-by-step explanation:

12*3=36

36*24=864

A sewing kit includes a spool that holds 864 inches of thread.

Given that,
A sewing kit includes a spool that holds 24 yards of thread, how many inches of thread does the spool hold is to be determined.

What is standard measurement?

All over the world, most things are in use as of common quantity, so people all over the world agree that they have to follow a common system of measurement and that the common system of measurement is called standard measurement.

here,
1 yard = 3, 1 foot = 12 inches
So,
24 yard = 24 [3] feets
24 [3] feet = 24 [3] [12] inches = 864 inches

Thus, A sewing kit includes a spool that holds 864 inches of thread.

Learn more about measurements here:

https://brainly.com/question/4725561

#SPJ2

PLEASE HELP. DUE IN 9 MINS ❤️
Three times the sum of a number and 16 is 8 less than four times that same number. Write an
solve an equation to find the number.

Answers

Answer:

3(x+16)= 4x-8

x=56

Step-by-step explanation:

3(x+16)= 4x-8

use distributive property

3x+48=4x-8

add 8 to each side

3x+56=4x

subtract 3x from 4x

56=x

check work

3(56+16)=4(56)-8

distributive property again

168+48= 224-8

add the left side

216=224-8

subtract the right side

216=216

tada

A 10-inch candle burns down in 10 hours. At what rate does the candle burn, in inches per hour? URGENT PLEASE ANSWER ASAP!!!

Answers

Answer:

1 inch per hour

Step-by-step explanation:

1 hour it burns 1 inch

PLEASE HELP ME!!!

Which equation represents the line that passes through the points (–3, 7) and (9, –1)?
y = negative two-thirds x + 5
y = negative two-thirds x minus 7
y = two-thirds x minus 7
y = two-thirds x + 5

Answers

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex]y = - \frac{2}{3}x + 5 \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Thus the correct answer is the first one.

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Let me know if u want explanation buddy..

Ebony bought 4 cans of Soup A for $6.00.

For each soup, indicate whether the soup has the same price per can as Soup A.

Soup B: 2 cans for $5.00
Soup C: 3 cans for $4.50
Soup D: 5 cans for $5.00
Soup E: 6 cans for $9.00

Answers

soup b; no
soup c; yes
soup d; no
soup e; yes

A teacher takes 5 children on a field trip to a geological museum. As a souvenir, the group receives a bag of stones. When the teacher divides the stones evenly among the children, each child receives exactly 24. If 6 children had been present, how many stones would each child have received?

Answers

Answer:

20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

You do 24 times 5 to find out how many stones were in all. Which is 120. Then you take 120 and divide it by 6 students which is 20.

3/4 + ( 1/3 / 1/6 ) - (- 1/2)
Please hurryyyyyy thank you

Answers

Answer:

=47/36

(Decimal: 1.305556)

Step-by-step explanation:

Answer:

3 1/4

Step-by-step explanation:

3/4 + ( 1/3 / 1/6 ) - (- 1/2)

First, divide within the parenthesis

3/4 + 2 - (- 1/2)

Next, change the double subtraction to an addition

3/4 + 2 + 1/2

Convert to forths

3/4 + 2 + 2/4

Add 3/4 and 2

2 3/4 + 2/4

Add 2 3/4 and 2/4

3 1/4

I hope that this helps :)

Choose 2 numbers whose sum is -2. )

Answers

Answer:

0 and -2

Step-by-step explanation:

0+-2=-2

a) Find the value of: 659 x
17 + 659 x 13 + 659 x 70​

Answers

Answer:

1000000

Step-by-step explanation:

help me plz me and my goat are thinking but not working

Answers

Answer:

2 terms, 3 factors

Step-by-step explanation:

the operation contains 2 values, each value has 3 factors

2 terms and 3 factors i believe

Convert 35 kilometers to miles

Answers

Answer:

The answer would be 21.248 miles

Answer:

35 kilometers = 21.748 miles

Identify all sets to which this number belongs: -459*

Natural, Whole, Integer
Whole, Irrational
Whole, Integer
Integer, Rational
Irrational

Please help!

Answers

Answer:

-459 is rational, and an integer

what are the five lessons or skills you learned in your t.l.e
9​

Answers

Answer:

Step-by-step explanation:

Throughout life, we learn lessons and skills that drastically change the way we view the world and the decisions we make. For me, the lessons and skills that were the most important were the following ...

Don't be jealous of what others have.Invest as much as you can in your 20'sLearn to codeLearn to play GuitarHave goals.

All of these lessons and skills have helped me visualize a future that would make me happy and has even opened some doors which would help make such a future a reality.

Macy estimated a product to be 800. The actual product is 768. Her estimate was an
A. overestimate
B. underestimate ​

Answers

Answer:

Overestimate

Step-by-step explanation:

it would be an underestimate if the number was lower than the actual number but since its larger than it is an overestimation.

hope this helps

5/8 z + (-2.5) = 2.5 worded

Answers

Answer:

Step-by-step explanation:

2.5 subtracted from (5/8)th of z gives 2.5

a square has been cut out of the shaded rectangle. calculate the area of the shaded part of the rectangle

Answers

Answer:

u got zoom class in session ??

Step-by-step explanation:

Im trying to plot a slope function on a graph ​

Answers

Answer:

Graphing from slope

Step-by-step explanation:

To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=2x+3 tells us that the slope of the line is 2 and the y-intercept is at (0,3). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.

what is the domain and range of f(x)=35x​

Answers

Answer:

Domain and Range are all real number

Step-by-step explanation:

Answer is above

Please help im timed:)

Answers

Answer:

A

Step-by-step explanation:

Simplify and subtract.

Answer:

Step-by-step explanation:

4(0.5x+2.5y-0.7x-1.3y+4)

2x+10y-2.8x-5.2y+16

-0.8x+4.8y+16

I need help with this

Answers

Answer:

w=8

Step-by-step explanation:

1(8)+12=2(8)+4

8+12=16+4

20=20

What is the y-intercept of the line 3x – 7y = 42?

Answers

Answer:

(0, -6)

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Write standard form

3x - 7y = 42

Step 2: Rewrite in slope-intercept form

Subtract 3x on both sides: -7y = 42 - 3xDivide both sides by -7: y = -6 + 3/7xRewrite: y = 3/7x - 6

Step 3: Find y-intercept

b = -6

Answer:

(0, -6)

Step-by-step explanation:

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To make matters worse, school lunches do not appeal to many students.5) Due to a lack of fresh and flavorful food in these lunches, many students will choose to buy the cheap junk food offered instead. If we could stock vending machines and cafeterias with healthier foods, it would definitely help our children develop healthy eating habits and improve their overall health.please help me.... If a pair of lines is intersected by Third line known as a transversal, then pairs of congruent angles are formed true or false In a short story set in the future, humankind has developed self-aware computers that can learn and make decisions. Unfortunately, the computers have become dominant over people. In a world run by computers, humans are treated as a novelty, the way we might keep a pet. Sometimes they are cared for fairly well, and sometimes they are not. Which is the best statement of the theme of the story? A. The more we know, the more we are capable of. B. 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