Alex only keeps ten pence coins and some twenty pence coins in
his coin box. He has a total of 18 coins which amounts to £2.30.
Work out the number of ten pence coins and twenty pence coins
in Alex's coin box.


Answers

Answer 1

Answer:

In the box. we have 5 20 pence coins and 13 10 pence coins

Step-by-step explanation:

Let the number of 10 pence coins be x and the number of 20 pence coins be y

The sum of these numbers is 18

Thus;

x + y = 18•••••••(i)

Writing the value in pence only

£2.30 * 100 = 230 pence

Now we have that;

total 10 pence coin amount = 10 * x = 10x

Total 20 pence coin amount = 20 * x = 20y

10x + 20y = 230

x + 2y = 23 •••••••(ii)

from ii;

x = 23-2y

Substitute this into i

23-2y + y = 18

23-18 = 2y-y

y = 5

Recall;

x + y = 18

x + 5 = 18

x = 18-5

x = 13


Related Questions

Carlotta thinks that 3y + 5y3 is the same as 8y4. Which statement shows that it is NOT the same?

3y + 5y ≠ 8y
3y + 5y3 = 8y3
3(4) + 5(4)3 ≠ 8(4)4
3(4) • 5(4)3 ≠ 8(4)4

Answers

Answer:

C. 3(4) + 5(4)³ ≠ 8(4)⁴

Step-by-step explanation:

3y + 5y³ is NOT the same as 8y⁴

Assume y = 4

Not equal to sign ≠

3y + 5y³ ≠ 8y⁴

3(4) + 5(4)³ ≠ 8(4)⁴

12 + 20³ ≠ 32⁴

12 + 8000 ≠ 1,048,576

8012 ≠ 1,048,576

The statement which shows that 3y + 5y³ is NOT the same as 8y⁴ is 3(4) + 5(4)³ ≠ 8(4)⁴

Write an equation that represents the line.
Use exact numbers.

Answers

Answer:

1x-2y

Step-by-step explanation:

You have to go down 2 on the y-axis and over to the right 1 on the x axis

A triangle where one angle measures 20° and another angle measures 45°.Help please

Answers

Answer: 115 degrees

Step-by-step explanation:

Pretty vague question but with the info given im guessing that your looking for the last angle in the triangle which is 115 since all angles in a triangle must add up to 180

Find the length of CB round to the nearest tenth.

Answers

Answer:

38

Step-by-step explanation:

A triangle is 180 degrees.

You have to add 99 and 43 first.

99 + 43 = 142

You then subtract 142 from 180 to find the missing angle.

180 - 142 = 38

need help asap will give brainly

Answers

Answer:

x = 60

Step-by-step explanation:

So, ever triangle, no matter what shape or size, is always going to equal 180 degrees. You start off by trying to find angle L which is 71. The way you find this is you subratch 109 from 180 which ultimately gives you 71.

180 - 109 = 71

After that you have to add what you already have (49 degrees) with what you just found (71 degrees)

49 + 71 = 120

Now that you have 120, you have to again subtract 180 by 120 to get your answer, 60 degrees. And that's it.

180 - 120 = 60

Please help immediately! thanks

Answers

Answer:

pretty sure its 9 : 4

Step-by-step explanation:

Answer:

9:4

Step-by-step explanation:

"to" :

Does anyone know how to do This? I don’t get it

Answers

So if you understand side side angle and side side side and the others you will be able to solve it as if it was the privious lesson I know this hadn’t helped much but change the way you look at it

Answer:

jsjjsjejehehhejejejejejejejejjejrjejrjr

Which equals the ratio of sin A to the nearest hundredth?

Answers

Answer:

we cant answer if we dont know what sin A is

5(x-4)+2x=14 help me find the answer x=?

Answers

Exact Form:
x = 34/7

Decimal Form:
x= 4. 857142

Mixed Number Form:
x= 4 6/7

Answer:

x = - 6/7

Step-by-step explanation:

Distribute 5 (x - 4) first --> 5x - 20

Combine like-terms: 5x - 20 + 2x = 14 --> 7x - 20 = 14

Subtract 20 on both sides: 7x = -6

Divide both sides by 7: x = -6/7

(Help please) Find both the perimeter and the area of the following rectangle
2x+3
X+6
Perimeter:_____
Area:____

Answers

Given:

Length of a rectangle = (2x+3) units

Width of the rectangle = (x+6) units

To find:

The perimeter and the area of the rectangle.

Solution:

We know that, the perimeter of the rectangle is

[tex]Perimeter=2(Length+Width)[/tex]

[tex]Perimeter=2((2x+3)+(x+6))[/tex]

[tex]Perimeter=2(3x+9)[/tex]

[tex]Perimeter=6x+18[/tex]

The area of rectangle is

[tex]Area=Length\times width[/tex]

[tex]Area=(2x+3)\times (x+6)[/tex]

[tex]Area=2x^2+12x+3x+18[/tex]

[tex]Area=2x^2+15x+18[/tex]

Therefore, [tex]Perimeter=6x+18[/tex] and [tex]Area=2x^2+15x+18[/tex].

PLEASE HELP MEEEEEE!!!!!
I literally have to get this done

Answers

I believe the answer is 360. Let me know if you want a step by step answer! Hope this helps!!

PLEASE HELP!!!! ANSWER FAST

Answers

Step-by-step explanation:

[tex] {d}^{2} = {5}^{2} + {5}^{2} \\ {d}^{2} = 50 \\ d = 5 \sqrt{2} \\ [/tex]

[tex] \tan(60) = \frac{4}{c} \\ c = \frac{4}{ \tan(60) } = 2.3[/tex]

Determine the values of x and y.

Answers

Answer:

answer is d please follow me I hope it will help you

Use the Distributive Property to simplify the expression.PLS HURRY VERY URGENT I GIVE BRAINLEST AWNSER
3z+14+5z+9

Answers

8z + 23

all you have to do is collect like terms

DESPERATE WILL GIVE BRAINLIST AND THANKS
Which associations best describe the scatter plot?

Select each correct answer.


Nonlinear association

Positive association

Linear association

Negative association

Answers

Answer:

D) I think

Step-by-step explanation:

Answer: From the graph all the points are moving in tandem and shows a directly proportional relation between them . Hence, positive linear association best describe the scatter plot.

Step-by-step explanation:

https://wfs.fireflycloud.net/resource.aspx?id=677205

Answers

Answer:

huh????????????????.??????

?? whatt i dont get it lol

Daniel has dinner at a restaurant and the cost of his meal is $28.00. Because of the service, he wants to leave a 20% tip. What is his total bill including tip?

Answers

Answer: answer is $33.60

Step-by-step explanation:

Find an explicit formula for the geometric sequence -40,-20,-10......
Note: the first term should be c(1).

c(n)= ?

Answers

Answer:

The explicit formula for the geometric sequence is [tex]c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}[/tex].

Step-by-step explanation:

By definition of geometric sequence, we should use the following expression:

[tex]c(n) = c_{1}\cdot r^{n-1}[/tex], [tex]n \ge 1[/tex] (1)

Where:

[tex]c_{1}[/tex] - First term.

[tex]r[/tex] - Geometric rate.

[tex]n[/tex] - Position of the element within the series.

If we know that [tex]c_{1} = -40[/tex] and [tex]r = \frac{1}{2}[/tex], then the explicit formula for the geometric sequence is:

[tex]c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}[/tex]

The explicit formula for the geometric sequence is [tex]c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}[/tex].

2x + 8 = 14 solve the equation you may find using algebra tiles to be helpful

Answers

Answer:

x = 3

Step-by-step explanation:

2x + 8 = 14

2x = 6

x = 3

Answer:

3

Step-by-step explanation:

subtract 8 from both sides

then divide 2 from both sides to get x = 3

11/6=n+7/9 what does n equal

Answers

Answer:

n = 19/18

Step-by-step explanation:

11/6 = n + 7/9

-n + 11/6 = 7/9

-n = 7/9 - 11/6

-n = -19/18

n = 19/18

Answer:

n = 19/18

Step-by-step explanation:

The equation 11/6=n+7/9 has fractions with two different denominators (6 and 9).  The LCD is 18, which is the smallest number evenly divisible by 6 and 9.  Thus, we can rewrite 11/6=n+7/9 as:

33/18 = (18/18)n + 14/18 (Now all three denominators are the same:  18)

Then 33 = 18n + 14, or

         19 = 18n

Dividing both sides by 18, we get n = 19/18

Check:  Is 11/6 = 19/18 + 7/9 true?  YES

cellus
Light of wavelength 535 nm passes
through a single slit of width
2.00 x 10-5 m. What is the angle
between the first (m = 1) and third
(m = 3) interference minima?
[?]

Answers

Answer:

3.06

Step-by-step explanation:

I got it right on acellus

(3 x 4) + (3 x 7)
Pls help need it know

Answers

the answer to the equation is 33

Which equation can be used to solve for b?

Answers

Answer:

tan(30)=5/b

Step-by-step explanation:

Answer:

a^2 + b^2 = c^2

Step-by-step explanation:

Are of triangle

PLSS HELP!!

Answers

BaseX height/ 2

8X7/2=28

There are 5,280 feet in 1 mlle. If Riley ran 26,400 feet, how many mlles did she run? [Type your answer as a number.]
miles

Answers

#BTS

#Bangtan

#BTS_Purple_Heart

Riley ran 5 miles. All you needed to do was divide 26,400 by 5,280 which gives you five.

What is the measurement of angle arc

Answers

Answer:

32°

Step-by-step explanation:

90 - 58 = 32

b = 32°

Answer: 32
90-58 = 32

A teacher lives 8 miles from school. She drives a 2015 Chevy Camaro that gets 19 miles per gallon of gas. How much fuel will she need to get TO AND FROM work for the week?

Answers

Answer:

Step-by-step explanation:

Technically we cannot solve this without knowing how many days a week that she works.

f=(16mi*d)(gal/19mi)

f=(16/19)d

We would have to assume that she works a certain amount of days. If we assume she works every day

f=7(16/19)=112/19, approximately 5.9 gal

In order to raise money for road repairs, the bridge toll is going to increase 130% next month. If the bridge toll is currently $2.50, how much will the toll be after the increase?

A.$0.75

B. $3.25

C. $4.80

D. $5.75

Answers

B, just multiply 130% by 2.50

what is the length of AD
A. 1
B. 2
C. 3
D. 4

Answers

Answer:

B

Step-by-step explanation:

it's basically divided

A unicycle wheel has a diameter of 12 inches. How many inches will the unicycle
travel in 5 revolutions?
Use n = 3.14 and round your answer to the nearest hundredth of an inch.

Answers

Answer:The unicycle would travel 226.29 inches in 6 revolutions.

Step-by-step explanation:

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