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


Max puts a stopper in the bathtub and turns on the faucet at t = 0.
After 5 minutes, there are 11 gallons of water in the tub and after 10 minutes, there are 22 gallons in the tub.
Write an equation that relates the number of gallons, g, to the time, t.
Does the relationship represent a linear function 2 Justify your response

Answers

Answer:

D

Step-by-step explanation:

Answer:

22 and 500 and 23

Step-by-step explanation:

helicopter flies 152 miles in 1 hour 54 minutes. Calculate the average speed.

Answers

Answer:

80mph?

Step-by-step explanation:

The answer is 80 mph

HELP!!!! If a scale of 2 in:10 ft is used, how long is an object that is 14 in. long
in a drawing?

Answers

answer: 70 feet
explanation: 14/2=7 7x10=70

Show work, please
32 points!

Answers

Answer:

1.Equivalent

2.Equaivalent

3.Not Equivalent

4.Equivalent

The diameter of a circle is 5 cm. Find its area to the nearest tenth

Answers

Answer:

Check pdf

Step-by-step explanation:

check pdf it should help you out a lot!

What is Your Budget?
Task 2
Directions:
You are offered a job with a starting annual salary of $50,000 and two options for
determining your annual raise:
Option 1: An annual raise of $3,000 per year.
Option 2: A 5% raise each year.

Answers

Option 1 I think i’m not positive though

There are 12 inches per foot. How many feet is 96 inches? Enter only the number.

Answers

8, the answer needs to be more than a certain amount of characters.
8 feet is the correct answer!But just enter 8 when you put in the answer. Otherwise, you'll get it wrong.96 ÷ 12 = 8Please let me know if I am wrong.

What goes on the green box ?

Answers

Answer:

5^9 / 5^3 = 5^6

the answer is 6

Step-by-step explanation:

someone help it’s timed!!!

Answers

Answer:

p=195

Step-by-step explanation:

If m = 65 and v = 3,

when two variables are together like that, that means you multiply,

65*3 = 195

Answer:

195

Step-by-step explanation:

p=mv

p=65 times 3

p=195

Solve the equation and check the solution.
1 1
O a=1
1
O a = 3
2
O a=4
o
1
a = = 4
2

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Equation: }\mathsf{a - 2\dfrac{1}{2} = 1\dfrac{1}{2}}[/tex]

[tex]\large\text{You have to SIMPLIFY the BOTH SIDES of the given EQUATION}[/tex]

[tex]\mathsf{-2\dfrac{1}{2}=\bf -\dfrac{5}{2}}[/tex]

[tex]\mathsf{1\dfrac{1}{2}=\bf \dfrac{3}{2}}[/tex]

[tex]\large\text{New equation: }\mathsf{a + \dfrac{-5}{2}= \dfrac{3}{2}}[/tex]

[tex]\large\text{ADD by }\mathsf{\dfrac{5}{2}}\large\text{ to BOTH SIDES}[/tex]

[tex]\mathsf{a + \dfrac{-5}{2}+\dfrac{5}{2}= \dfrac{3}{2}+ \dfrac{5}{2}}[/tex]

[tex]\large\text{Cancel out: }\mathsf{-\dfrac{5}{2}+ \dfrac{5}{2}}\large\text{ because it gives you 1}[/tex]

[tex]\large\text{Keep: }\mathsf{\dfrac{3}{2}+\dfrac{5}{2}}\large\text{ because it helps solve for \bf a}[/tex]

[tex]\large\text{New equation: }\mathsf{a = \dfrac{3}{2}+\dfrac{5}{2}}[/tex]

[tex]\mathsf{\dfrac{3+5}{2\ \& \ 2}}[/tex]

[tex]\mathsf{3 + 5 = 8}[/tex]

[tex]\mathsf{2\ \& \ 2=2}[/tex]

[tex]\large\text{Equation: }\mathsf{a = \dfrac{8}{2}}[/tex]

[tex]\large\text{Simplify above and you have the \bf a value}\uparrow[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf a = 4}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

10 Points, and thank you!

Answers

-8x^2-50x-60 i don’t know if that’s correct

Monica deposits $100 into a savings account that pays a simple interest rate of 3.8%. Paul
deposits $200 into a savings account that pays a simple interest rate of 2.5%. Monica says that
she will earn more interest in 1 year because her interest rate is higher. Is she correct? Justify your
response

Answers

Answer:

Paul

Step-by-step explanation:

Paul earn more than monica. Though he is getting less interest but because of his higher initial amount he is getting more return.

Computing the return of both

Monica return is  100*3.4%= $3.4 in a year

Paul return is 200*%2.2=  $4.4 in a year.

Answer:

3.3

multiply all the number in pairs then you have to add both number 3.3

Integer that describes debit of $40

Answers

Answer:

+40

Step-by-step explanation:

+40 hope this helps

Find the area of this triangle. Round to the nearest tenth. 9.5 yd 23 yd



Please help!

Answers

Answer:

[tex]Area=\frac{ab}{2} \\\\area=\frac{9.5.23}{2} \\\\answer=108.8 yd^{2}[/tex]

Step-by-step explanation:

I hope this helps ^_^

The area of the triangle is 108.7 square yards.

What is the area of the triangle?

Let a, b, and c is the sides of the triangle.

The area of the triangle is given as

S = (a + b + c) / 2

[tex]\rm A = \sqrt{s(s - a)(s - b)(s -c )}[/tex]

The third side of the triangle will be

c² = a² + b² - 2ab cos θ

c² = 9.5² + 23² - 2 × 9.5 × 23 × cos 85°

c² = 619.25 - 38.09

c² = 581.16

 c = 24.11 yd

Then the area of the triangle will be

S = (9.5 + 23 + 24.11) / 2

S = 56.61 / 2

S = 28.3

Then the area will be

[tex]\rm A = \sqrt{28.3(28.3 - 24.11)(28.3 - 23)(28.3 - 9.5)}[/tex]

Simplify the expression, then the value will be

A = √11815.01

A = 108.7 square yd

The area of the triangle is 108.7 square yards.

More about the area of the triangle link is given below.

https://brainly.com/question/19305981

#SPJ2

Phil is riding his bike. He rides 25 miles in 2 hours, 37.5 miles in 3 hours, and 50
miles in 4 hours. Find the constant of proportipnality and write an equation to
describe the situation. Let x represent the number of hours.
The equation that describes the relationship is y =

Answers

The constant of proportionality (known as "speed" in this case) is 12.5 miles per hour.

The equation is  

d

=

12.5

×

t

Explanation:

To find the constant of proportionality, divide one value in each pair by the other. If this relationship is a true direct proportionality , when you repeat these for every pair, your will come up with the same value:

For example

25

miles

÷

2

hours

=

12.5

miles

hour

A direct proportionality will always result in an equation that resembles this:

y

=

k

x

where  

y

and  

x

are the related quantities and  

k

is the constant of proportionality. If you draw a graph using the values you have, the graph will show a straight line the passes through the origin. The slope of this line will be the constant of proportionality. (And if the values given are real physical quantities, this constant will contain important information about the situation you are studying!)

Math question! I don't understand! can I have an explanation?​

Answers

Answer:

linear monomial

Step-by-step explanation:

A sport bag used to cost $40, then the store decides to change the cost to $52. What is the mark up? Write your answer like this 00% but instead of zeros, put the percent you found.

Answers

Answer:

Step-by-step explanation:

Use the given functions to set up and simplify

40=

52=

0%=0

Indicar el número entero que corresponde a cada
situación

a) Se realiza un descuento de $20 en la primera compra con tarjeta de crédito.


b) Se acredita $15 al saldo telefónico por una promoción.

c) La playa de estacionamiento se encuentra en el tercer subsuelo

.
d) María Angélica tiene una deuda de $300.

e) En el nordeste de Francia la temperatura llegó a los 15 grados
bajo cero.

f) La empresa disminuyó las ventas en un promedio de 5 000
unidades por mes.

Answers

Answer:

a)-20

b)+15

c)-3

d)-300

e)-15

f)-5000

g)-400

h)-250

i)+420

If 8 students want to share 62 gallons of water for a water balloon fight,
how many gallons of water should each student get?

Answers

Answer:

Each student should get 7:75 gallons of water

Step-by-step explanation:

Do 62 divided by 8

They don't want place on the school baseball team in the last 9 games one was at bat 28 times and got six hits what is the experimental probability that one will get a kid during his next time at that express your answer as a fraction in simplest form

Answers

Eisismokistee form is their je. Ejeieiek wowow

Joe walked 12m East and stopped for lunch. After eating he continued walking for 12m East. What is his displacement?

Answers

Answer:

24meters

Step-by-step explanation:

Given data

Joe walked 12m East

We are told that Joe continued to walk for another 12m east

Therefore, Joes displacement is

=12+12

=24m

His displacement is 24meters

I just failed algebra for the third time someone help pls
Just tell me what to do

Answers

Answer:

study lol

Step-by-step explanation:

Anyone that answers this right will get 100+ points, any wrong answers or spamming will be reported.

Answers

Answer:

na

Step-by-step explanation:

ez I did this in 3rd grade

Can someone please help me pleaseeee!

Answers

Answer:

y=-1.7x+8

Step-by-step explanation:

An equation of a line is y=mx+c

m is the gradient and c is the y intercept, which is where the line intercepts y.

you work out m getting two points and then subtracting y - y ÷ x - x

So in this graph, if we chose points (6,-2) and (3,3) then we would do this equation.

[tex] \frac{3 - - 2}{3 - 6} = \frac{5}{ - 3} = - 1.7[/tex]

So m = -1.7

c = 8 because it goes through 8 in y.

So the equation is y=-1.7x+8

What is the length in centimeters of the hypotenuse of the right triangle below?
2 cm
8 cm

Answers

Answer:

Step-by-step explanation:

WASSUP

Help me pls pls pls thanks I

Answers

Answer:

T (3 , -6)   O ( -6 , -4) and M (-9 , 6)

Step-by-step explanation:

(x , y) -> (-x , -y)

The measures of the angles of a triangle are shown in the figure below. Solve for x. 620 39°​

Answers

Answer:

6.29

hope this helped

Step-by-step explanation:

:)

will give brainlesr please help im 25% blind

Which statement is true about the following pair of rectangles?

Two rectangles are shown. To the left, a larger rectangle has a lower side labeled 60 centimeters and a left side labeled 30 centimeters. To the right, a smaller rectangle has an upper side labeled 6 centimeters and a right side labeled 3 centimeters.
A. They are not similar because Start Fraction 6 over 60 End Fraction≠ Start Fraction 30 over 3 End Fraction.
B. They are not similar because Start Fraction 30 over 3 End Fraction = Start Fraction 60 over 6 End Fraction.
C. They are not similar because Start Fraction 3 over 6 End Fraction ≠ Start Fraction 30 over 60 End Fraction.
D. They are similar because Start Fraction 3 over 6 End Fraction = Start Fraction 30 over 60 End Fraction.

Answers

Answer:

Option D

Step-by-step explanation:

the height of the first rectangle ( 30 ) over the height of the other rectangle     ( 3 )  is 30/3 and equals 10

the length of the first rectangle ( 60 ) over the length of the second rectangle  ( 6 )  is 60/6 and equals 10

the ratio of the sides of both rectangles are equivalent therefore the are similar

Pleas help me solve the following inequality and graph the solution set on the number line
2(x-3)-5x≤9

Answers

Answer:

x≥ -5

Step-by-step explanation:

what is 2838 divisible by?

Answers

It can be divisible by 2, 3, 6, 11 but these are just a few examples :) You can look through factors of 2838 and a bunch of numbers will pop up!!

Answer:

have calculated all the numbers that 2838 is evenly divisible by. The numbers that 2838 is divisible by are 1, 2, 3, 6, 11, 22, 33, 43, 66, 86, 129, 258, 473, 946, 1419, and 2838. You may also be interested to know that all the numbers that 2838 is divisible by are also known as the factors of 2838.

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