Marcin buys 7 rulers and 15 crayons for £7.
A ruler costs 12p more than a crayon.

Find the cost of one crayon.

Answers

Answer 1
Answer: 28 p



Explanation:

To solve this problem we're going to use an equation. First let's write down the information that we do know.Let's use (r) for ruler and (c) for crayon.
So 7 rulers and 15 crayons cost £7 (or 700 pennies) --> 7r + 15c = 700But we also know that r = c +12
So we can substitute c + 12 into the first equation where r is at the moment.
7(c+12) + 15c = 700
Now let's expand the brackets. We multiply 7 by c to get 7c and 7x12 t0 get 84
7c + 84 +15c = 70022c + 84 = 700 Here I'm going to take 84 away from both sides. 22c = 616
Remember this is a non calculator paper so we need to find an easy way of dividing 616 by 22.
616 divided by 22 is 28 so c = 28Each crayon therefore costs 28p
Answer 2

Answer: 28 p is the cost of one crayon.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

Marcin buys 7 rulers and 15 crayons for £7.

A ruler costs 12p more than a crayon.

now,

To solve this problem we're going to use an equation.

First let's write down the information that we do know.

Let's use (r) for ruler and (c) for crayon.

So 7 rulers and 15 crayons cost £7 (or 700 pennies)

--> 7r + 15c = 700

But we also know that r = c +12

So we can substitute c + 12 into the first equation where r is at the moment.

7(c+12) + 15c = 700

Now let's expand the brackets.

We multiply 7 by c to get 7c

and 7x12 t0 get 84

7c + 84 +15c = 700

22c + 84 = 700

Here I'm going to take 84 away from both sides.

22c = 616

616 divided by 22 is 28

so c = 28

hence, Each crayon therefore costs 28p.

To learn more on multiplication click:

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Related Questions

A manufacturer of pickup trucks is required to recall all the trucks manufactured in a given year for the repair of possible defects in the steering column and defects in the brake linings. Dealers have been notified that 3% of the trucks have defective steering, and that 5% of the trucks have defective brake linings. If 94% of the trucks have neither defect, what percentage of the trucks have both defects

Answers

Answer: 2%

Step-by-step explanation:

Let A be the event of having defective steering and B be the vent of having defective brake linings.

Given: P(A)  = 0.03  P(B) = 0.05

P(neither A nor B ) = 0.94

Using formula: P(either A nor B) = 1- P(neither A nor B )

= 1-0.94

i.e.  P(either A nor B) =0.06

Using formula:P(A and B) = P(A)+P(B)-P(either A or B)

P(A and B) =0.03+0.05-0.06

= 0.02

Hence, the percentage of the trucks have both defects = 2%

whati is a quotient of (-1) (2) (-3) (4) and (-5) divided by 6?

Answers

Answer:

You should get -20

Step-by-step explanation:

;)

Factorise 8x + 12
Thankssssss

Answers

Answer:

4(3 + 2x)

Step-by-step explanation:

8x+12

Simplifying

8x + 12

Reorder the terms:

12 + 8x

Factor out the Greatest Common Factor (GCF), '4'.

4(3 + 2x)

Final result:

4(3 + 2x)

Alguien me ayuda porfiss

Answers

Answer:

Step-by-step explanation: a, c, and e

Solve for x.
3(-2x - 1) = 2(x + 5)

Answers

Answer:

x= −  8 /13  = −1  8 /5  = −1.625

Step-by-step explanation:

either one is the answer

<3 Enjoy,

    Dea

Answer:

x=-1.625  Decimal form  

x= -13/8    Fraction form

Step-by-step explanation:

3(-2x-1)=2(x+5)

Use distributive property to solve-

-6x-3=2x+10

Now add like terms

-6x-3=2x+10

    +3       +3

   -6x=2x+13  (get the x by itself)

  -2x    -2x

-8x=13     Divide

x= -1.625   Decimal form

x=-13/8   Fraction form

PLEASE HELP ILL GIVE BRAINLIEST AND FOLLOW using y=mx+b form

Answers

Answer:

y=1+5

Step-by-step explanation:

b is the y intercept and 1 is the slope gradient

What is the decimal multiplier to decrease by 0.6%?

Answers

it is 0.10+1........

Answer:

0.6/100 = 0.006

Step-by-step explanation:

should be multiplied to decrease a number by 0.6%

a chicken eats 0.114 kg of grains per day. how much grain does the chicken eat in 31 days

Answers

Answer:

3.534kg

Step-by-step explanation:

0.114 × 31 = 3.534 kg

hope this helps...

△RST is shown below. XU = –2y + 15 and XW = 3y + 5.

PLEASE HELP ME

Answers

The answer for RST= 24

The required measure of the radius inscribed in the triangle RST is 11.

What is the triangle?

The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°

Here,
The incenter of the triangle will be the center of the circle inscribed in the triangle. and radius will be the perpendicular distance from the incenter to the sides.
So,
XU = XW,
-2y + 15 = 3y +5
5y = 10
y = 2

Now,
Radius = XU
          = -2(2) + 15
          = 11

Thus, the required measure of the radius inscribed in the triangle RST is 11.

Learn more about triangles here:
https://brainly.com/question/2773823

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A regular number cube is rolled. What is the probability that an odd number will not be rolled?

1/2,1/3,5/6,2/3,

Answers

Answer:

1/2

Step-by-step explanation:

A regular die has 3 odd numbers (1, 3, and 5) and 3 even numbers (2, 4, and 6). The question asks for the probability that an odd number will not be rolled. This is the same as asking the probability of an even number being rolled. Since we have 6 numbers in our data set and 3 are even, we can deduce that 1/2 of them are even and the probability of an even number being rolled is 1/2.

HTH :)

Answer:

the answer is 5/6

Step-by-step explanation:

Se vendieron un total de 297 boletos para la obra de teatro escolar. Los boletos eran o de adulto o de estudiante. El número de boletos de estudiante vendidos fue dos veces el número de boletos de adulto vendidos . ¿Cuántos boletos de adulto

Answers

Answer: x boletos de adulto

2x boletos de estudiante

x+2x=288

3x=288

x=288/3

x=96

adulto =96

estudiante 2*96=192

96+192=288

Step-by-step explanation: 96 y 192

30% of 50. Find the percentage of the number.

Answers

Answer:

15

hope it's helpful ❤❤❤❤

THANK YOU.

Answer:

15

Step-by-step explanation:

30%x50÷100=15

Pls help me, i really need help!

Answers

Answer:

Step-by-step explanation:

a) c/8

b) 16+5p

c) (x+5)-5

Answer:

9. 80

Step-by-step explanation: ssssssse

Simplify: x^2-16/x-4 What does the given expression simplify to? What is the excluded value of x for the given expression?

Answers

Step-by-step explanation:

Difference of Squares: a² - b² = (a + b)(a - b)

(x² - 16) / (x - 4)

= [(x + 4)(x - 4)] / (x - 4)

= x + 4, where x =/= 4.

Answer:

1.    (x+4)

2.     4

Step-by-step explanation:

got right on edge

The area of a sign in the shape of a square is 219 square inches. Which measurement is closest to the side length of
this sign in inches?
55 in.
B
15 in.
7 in.
D 110 in.

Answers

Answer:

A

Step-by-step explanation:

The area of a square is given as the side² thus the side length of the given square will be around 15 inches thus option (B) will be correct.

What is a square?

A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.

Length of diagonal of square = √(2) × side

It is known that,

Area of square = Side²

Given, the area is 219 square inches.

Side² = 219

Side = √219 = 14.79 ≈ 15 in.

Hence "The area of a square is given as the side² thus the side length of the given square will be around 15 inches".

For more about a square,

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7996
Ben sat outside his school in Cambridge and made a note of the colour of
the first 100 cars that passed.
27 of the cars were red.
In Britain there are around 35 million cars on the road .
Use bens findings to give an estimate of how many cars on the road are red

Answers

Answer:

1,296,296 cars are red.

The total number of seashells a divided by 10

Answers

Answer:

Please give more info

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

b - 1/8= 3 1/2


what’s b equal

Answers

in fraction
b= 29/8
decimal
b= 3.625
another’s fraction
b= 3 5/8

What is 33x44=? Give brainleist

Answers

1452 is 33x44’s sum

  33

x 44

____

 132

1320

1452

Answer:

1452

Step-by-step explanation:

33 * 44 = 1452

Iuhi(in 6uguyguygugjhguygiygi6ihb

Answers

Answer:

gt676t6

Step-by-step explanation:

Answer:

yuhijokfdvbr9878r9t

Step-by-step explanation:

jy

Kiran says that -2<-5. Do you agree with Kiran? Explain or show your reasoning.

Answers

Answer:

No I do not agree. -2 is closer to 0 than -5

Step-by-step explanation:

-5 -----------> -2---------> 0

10x-3Y=-150

how do you solve and graph?

Answers

add 3y to both sides

10x = -150 +3y

subtract -150 from both both sides

10x + 150 = 3y

then divide both sides by 3 (and going to switch the two sides cuz i prefer it that way)

y = (10/3)x + 50

so for graphing you take the y intercept

which is 50 and put a point there

slope (10/3) is rise/over run

so going down and to the left from your y intercept (cuz the slope is positive) count 10 then go over 3

put a point

do it again

then for the other way go up 10 and over 3

that’s graphing

i’ll graph it too but it’ll be sloppy so i figured i’d explain it too

William fills 1/3 of a water bottle in 1/9 of a minute. How much time will it take him to fill the bottle

Answers

Answer:

3/9 = 1/3 of a minute or 20 seconds

Step-by-step explanation:

Answer:

1/3 of a minute

Step-by-step explanation:

1/3 x 3 = 1 bottle

1/9 x 3 = the time

1/9 x 3 = 3/9 or 1/3

A toy train set includes a train station building which is a scale model of a real building. The area of
the front side of the toy building is 1 square foot. The real building's front side has an area of 400
square feet. If we view the real building as a dilation of the toy, what is the scale factor?
Your answer

Answers

Answer:

[tex]20[/tex]

Step-by-step explanation:

The area of the front side of the toy model is [tex]1\ \text{ft}^2[/tex]

The area of the real building's front side is [tex]400\ \text{ft}^2[/tex]

So

[tex]1\ \text{ft}^2[/tex] of the toy model is equivalent to [tex]400\ \text{ft}^2[/tex] of the real building.

Area scale factor is given by [tex]k^2[/tex], where [tex]k[/tex] is the scale factor of the sides.

So,

[tex]\dfrac{400}{1}=k^2\\\Rightarrow k=\sqrt{400}\\\Rightarrow k=20[/tex]

Hence, the scale factor is [tex]20[/tex].

The scale factor should be 20.

Important information:

The area of the front side of the toy building is 1 square foot. The real building's front side has an area of 400 square feet.

Calculation of the scale factor:

Since 1 square foot should be equal to 400 square feet

So,

[tex]400\div 1 = k^2[/tex]

[tex]K = \sqrt{400}[/tex]

k = 20

Learn more about the scale factor here: https://brainly.com/question/23908178

A Traveler arrived at his final destination on February 11, 2021 at 2:30pm. The traveler departed 72 hours earlier traveling East from a time zone that is eight hours behind tha arrival time zone

On what day and at what time did the traveller depart?​

Answers

9514 1404 393

Answer:

  Feb 8, 2021, at 6:30 am

Step-by-step explanation:

The time of arrival, as seen from the point of departure, is 8 hours earlier than 2:30 pm, so is 14:30 -8:00 = 6:30 (am), on Feb 11. Three days (72 hours) before that time is ...

  6:30 am on Feb 8, 2021

At the grocery store,
Ben purchased $7.50
worth of groceries and
a 44 cent stamp If he
paid with two $5 bills,
how much change
should he receive?

Answers

2.06...........................

Answer:

$2.06

Step-by-step explanation:

add 7.05 and 44 cents. he used 2 5 dollar bills, which is 10 dollars. 10-7.94 is 2.06.

Need help asap
Will mark you brainlist

Answers

Josiah then Taylor and last is Layla

HELPPPPPPPPPPPPPPPPPPPP QUICK PLEAAAAAAAAAAAASE

Which of these geometric figures can intersect to form a cross section? Check all that apply.
1. a line and a prism
2. a line and a rectangle
3. a point and a prism
4. a prism and a horizontal plane
5. a vertical plane and a pyramid

Answers

A:line and a prism.
B:line and rectangle

Paul is a newspaper boy who received a total piecework
paycheck of $265.72. He receives 73 cents for every
newspaper he delivers. How many newspapers did he
deliver?

Answers

Answer:

364

Step-by-step explanation:

265.72 ÷ 0.73 is 364

Check:

364 x 0.73

265.72

Plz help I’m really confused

Answers

Answer: i think its 134

Step-by-step explanation:

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