Alvin and Simon shared £540 in the ratio 4:5. Alvin gave half of his share to Theo. Simon gave a tenth of his share to Theo. What fraction of the £540 did Theo receive.

Answers

Answer 1

Answer:

[tex]\frac{5}{18}[/tex]

Step-by-step explanation:

sum the parts of the ratio, 4 + 5 = 9 parts

Divide the amount by 9 to find the value of one part of the ratio

£540 ÷ 9 = £60 ← value of 1 part of the ratio , thus

4 parts = 4 × £60 = £240 ← Alvin's share

5 parts = 5 × £60 = £300 ← Simon's share

[tex]\frac{1}{2}[/tex] × £240 = £120

[tex]\frac{1}{10}[/tex] × £300 = £30

Theo receives £120 + £30 = £150 , which as a fraction is

[tex]\frac{150}{540}[/tex] ( divide numerator/ denominator by 30 )

= [tex]\frac{5}{18}[/tex] ← in simplest form


Related Questions

find the missing side lengths!! pls help!!!!!!!!! marking brainliest

Answers

Answer:

y = 5.19615 or 3√3

x = 10.3923 or 6√3

also missing angle is 60°.

hope this helps!

Step-by-step explanation:

help!!!! meeeeeeeeeeeee

Answers

Answer:

most likely yards

Step-by-step explanation:

Souvenir hats, T-shirts, and jackets are sold at a rock concert. Three hats, two T-shirts, and one jacket cost $40. Two hats, two T-shirts, and two jackets cost $60. One hat and three T-shirts cost $10. Find the prices of the individual items. (you have to use substitution and/or elimination method, NO matrix or Graph.)

Answers

Answer:

j = 24

t = 2

h = 4

Step-by-step explanation:

Three hats, two T-shirts, and one jacket cost $40.

3h + 2t + j = 40

Two hats, two T-shirts, and two jackets cost $60.

2h + 2t + 2j = 60

One hat and three T-shirts cost $10.

h + 3t = 10

3h + 2t + j = 40 (1)

2h + 2t + 2j = 60 (2)

h + 3t = 10. (3)

From (3)

h = 10 - 3t

Substitute into (1) and (2)

3(10 - 3t) + 2t + j = 40 (1)

2(10 - 3t) + 2t + 2j = 60 (2)

30 - 9t + 2t + j = 40

20 - 6t + 2t + 2j = 60

- 7t + j = 40 - 30

-4t + 2j = 60 - 20

-7t + j = 10 (1a)

-4t + 2j = 40 (1b)

Multiply (1a) by 2

-14t + 2j = 20

-4t + 2j = 40

Subtract to eliminate j

-4t - (-14t) = 40 - 20

-4t + 14t = 20

10t = 20

t = 20/10

t = 2

Substitute t = 2 into

h = 10 - 3t

h = 10 - 3(2)

= 10 - 6

= 4

h = 4

Substitute t = 2 and h = 4 into

3h + 2t + j = 40

3(4) + 2(2) + j = 40

12 + 4 + j = 40

16 + j = 40

j = 40 - 16

= 24

j = 24

Please solve this multi-step equation that has parenthesis.
2(x - 5) + x = x + 8

Answers

Answer:

Your answer : x = 9

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Hope this helped : )

Janet hiked 3/8 mile in 1/4 hour. How fast did she hike, per hour?

Answers

Answer:  answer is A

A:3/32

B:2/3

C: 1 1/2

D:4

She hike 1.5 miles  per hour.A common unit of measurement is the mile (mi).

How to fast she hike per hour?

1.609344 kilometers are exactly one unit of length. mile, any of several different measures of distance, such as the statute mile, which has a length of 5,280 feet, is also equivalent to 1,760 yards (1.609 km). It derives from the mile passus, or "thousand paces," of the Romans, which was equivalent to 5,000 Roman feet.

A common unit of measurement is the mile (mi). It is typically used to express the distance between cities, the length of rivers, and the distance between roadways. The letter "mi" stands for the unit mile in writing. Therefore, a marathon race would be roughly 26.3 miles or 26.3 mi in length.

Given ,

1/4hrs=15mins

15mins=3/8miles

60mins=more

60/15 × 3/8

=4/1 × 3/8

=12/8

=1.5miles

Therefore 1.5 miles fast she hike per hour.

To learn more about Miles calculation refer to:

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The sum of a number and its reciprocal is 6.41. What is the number?

Answers

Answer:

i think you need to make the number into a whole all together.

NEED ANSWER NOW PLS HELP

Answers

Answer:

The second one: [tex]8x^{2}y+7x^{2}-5y^{2}+3x-2+2x^{2}y-x^{2}-2y^{2}-3x-4[/tex]

Step-by-step explanation:

You have to combine the like terms (any numbers with the same variables and exponents)

[tex]8x^{2}y+2x^{2}y=10x^{2}y, 7x^{2}-x^{2}=6x^{2}, -5y^{2}-2y^{2}=-7y^{2}, 3x-3x=0, -2-4=-6[/tex]

If you put all of the answers together you get [tex]10x^{2}y+6x^{2}-7y^{2}-6[/tex]

At a candy store, Jeremiah bought 1 pound of jelly beans for $9. Meanwhile, Emma bought 4
pounds of jelly beans and 6 pounds of gummy worms for $60. How much does the candy
cost?
Plz help ASAP

Answers

Answer:

I think the candy cost 51 dollars

Jellybeans: 36$

Gummy worms: 15$

36 + 15 = 51

Step-by-step explanation:

Since jeremiah bought 1 pound for 9 dollar you can minus 9 from the equation which is 51 and since each pound of jelly beans were 9 dollars 9 x 4 = 36 and 51 - 36 is 15 so the cost of the gummy worms are 15 so

either 51 or 36 and 15

Find the midpoint between (2.8) and (-6.2). *​

Answers

1.7
I added the two numbers together an divided it by two to find the median, or midpoint. Can I have brainliest?

Who wants to smash some COD in the morning

Answers

Which COD do you have? And what console??

Answer:

Sorry Ion play COD

Step-by-step explanation:

What do you do in algebra

Answers

Algebra 1 is the second math course in high school and will guide you through among other things expressions, systems of equations, functions, real numbers, inequalities, exponents, polynomials, radical and rational expressions. Basic Of Algebra
Basics of Algebra cover the simple operation of mathematics like addition, subtraction, multiplication, and division involving both constant as well as variables. For example, x+10 = 0. ...
Q 1: Find y, when, y + 15 = 30.
Solution: y = 30 – 15.
Q 2 : Find x, when, 9x = 63.
Q. 3: If x/7 = 21, then find x. Learning algebra helps to develop your critical thinking skills. That includes problem solving, logic, patterns, and reasoning. You need to know algebra for many professions, especially those in science and math.
Algebra is a system of manipulating numbers and operations to try to solve problems. When you learn algebra, you will learn the rules to follow for solving problems. But to help make that easier, you need to have a strong understanding of basic math facts. ... Being able to work with two-digit numbers is even more helpful. The Basic Laws of Algebra are the associative, commutative and distributive laws. They help explain the relationship between number operations and lend towards simplifying equations or solving them. Algebraic expressions include at least one variable and at least one operation (addition, subtraction, multiplication, division). For example, 2(x + 8y) is an algebraic expression. Algebra is thinking logically about numbers rather than computing with numbers. ... Paradoxically, or so it may seem, however, those better students may find it harder to learn algebra. Because to do algebra, for all but the most basic examples, you have to stop thinking arithmetically and learn to think algebraically. Algebra is an important life skill worth understanding well. It moves us beyond basic math and prepares us for statistics and calculus. It is useful for many jobs some of which a student may enter as a second career. Algebra is useful around the house and in analyzing information in the news.

Simplify: 12x + 4(-7x + 3)

Answers

-16x+12

hope this helps

Answer:

-4x+3

Step-by-step

4*(-7)=-28

4*3=12

12x-28x+12

-16x+12

4/ (-16x+12)= -4x+3

You can buy 5 cans for green beans at the Village Market for $3.70. You can buy 10 of the same cans of beans at Sam's Club for $6.90. Which place is the better buy?

Answers

Answer:

1 can of green beans at Village Market is $0.74.  At Sam's Club, one can of green beans is $0.69. Therefore, Sam's Club is the better buy, by being cheaper than Village Market's by $0.05.

Step-by-step explanation:

Classify the numbers as rational or irrational.
7
√ 14
7 + √ 14
7./14
rational
irrational

Answers

Answer:

1. R

2.I

3. I

4.R

Step-by-step explanation:

6+56+56+56+75+87+100000000000000000000000000000-3

Answers

Answer:

1.0e29

Hope this helps! Please mark Brainliest!

lol evn the bob ross doesn't know the answer to that

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful  no matter ur shape, size, color, gender.. anything

don't give up bby i need u to live.

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Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

Nikki used the calculations shown to determine whether a carton of 12 eggs or a carton of 18 eggs was the better buy. A carton of 12 eggs cost $2.39, and a carton of 18 eggs cost $3.39. Unit price of the 12-egg carton = ($2.39)(12 eggs) = $28.68 per egg Unit price of the 18-egg carton = ($3.39)(18 eggs) = $61.02 per egg The 12-egg carton has the lower unit cost, so it is the better buy. What was her first error?

Answers

Given :

A carton of 12 eggs or a carton of 18 eggs was the better buy. A carton of 12 eggs cost $2.39, and a carton of 18 eggs cost $3.39. Unit price of the 12-egg carton = ($2.39)(12 eggs) = $28.68 per egg Unit price of the 18-egg carton = ($3.39)(18 eggs) = $61.02 per egg The 12-egg carton has the lower unit cost, so it is the better buy.

To Find :

What was her first error.

Solution :

Her first error is to find Unit price of egg in each carton.

To find, unit price we should divide total amount by number of units :

Unit price for carton of 12 eggs, $ (2.39)/12 = $0.199 .

Hence, this is the required solution.

Answer:

She is right, however her explanation is wrong.

In order to find the unit price, you need to divide the amount by the cost.

You will then see that 12 divided by 2.39 < 18 divided by 3.39.

The smaller unit price is obviously the better buy.

Step-by-step explanation:

plz help me understand this question

Answers

Answer:

sorry I can't understand this question

Step-by-step explanation:

im busy sorry

Using the figure below, find the measure of z ( just enter in the number for your answer don’t worry about the degree symbol or saying “ degrees” after the number

Answers

Answer:

z = 29°

Step-by-step explanation:

We know that the 3 angles in a triangle always add up to 180°.  So for triangle ABC, angle A = 59° (given), and angle B = 43° + 49° = 92° (given).  

angle A + angle B + angle C = 180°

59° + 92° + z = 180°

151° + z = 180°

Subtract 151° from both sides of the equation

z = 180° -151°

z = 29°

daniel kicks a soccer ball and the trajectory is modeled by f(t) = -16t^ +32t. what would be the value of f(1)

Answers

Answer:

f(1)=16

Step-by-step explanation:

f(t)=-16t+32t

f(1)=-16(1)+32(1)

f(1)=-16+32

f(1)=16

Answer:

f(1)=16

Step-by-step explanation:

1.) Diego paid $47 for 3 tickets to a concert. Andre paid $141 for 9 tickets to a concert.
Did they pay at the same rate (what was the value they paid for 1 ticket)? How do you
know?

Answers

They pay at the same rate.
The value they paid for one ticket is 15.67$
How do you know:
Andre paid for 3 times more tickets than Diego. 47 x 3 is 141, so they are at the same rate.
47 / 3 is 15.667, which rounds up to 15.67$ in money terms.

b) Write 36 as a product of its prime factors.
Write the factors in order, from smallest to largest

Answers

Answer:

1, 2, 3, 4, 6, 9, 12, 18

The product of a and 52 is the same as 676

Answers

Answer: A= 13

Explanation: 13x52=676

Answer:

a = 13

Step-by-step explanation:

a * 52 = 676

52a = 676

a = 13

Please mark me the brainliest!?!

use the zero product property to find the solutions to the equation (x+2)(x+3)=12

Answers

Answer:

x=-6, x=1

Step-by-step explanation:

The zero product property

It states that if a.b=0, then it must be satisfied that a=0 or b=0. It's commonly used to solve equations where one of the sides is 0.

The given equation is:

(x+2)(x+3)=12

Since neither side is 0, we operate the expression:

x^2+3x+2x+6=12

Moving 12 to the left side and simplifying:

x^2+3x+2x+6-12=0

x^2+5x-6=0

Factoring:

(x+6)(x-1)=0

Now, since there is zero on the right side, we apply the property to solve:

x+6=0, or x-1=0

The two solutions come directly:

x=-6, x=1

“The product of a number and negative 8” ( translating expression).

Answers

Answer:

x(-8)

Step-by-step explanation:

-8x is the expression

Use the figure to find the measures of the numbered angles.

Answers

Answer:

95 degrees is the measure of 3 just like the other angle because they equal each other the angle of 4 you would find out by subtracting 180-95=85. so the measure of 3 is 95 and the measure of 4 is 85

If f(x)= 2x-5, then what is the value of f(2) + f(5)

Answers

Answer:

4

Step-by-step explanation:

replace x with 2 then you get -1

Next step replace x with 5 then u get 5

Add 5 and -1. You get four.

The value of  f(2) + f(5) in f(x) = 2x - 5 is 4.

What is a function?

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given,  f(x)= 2x-5, therefore f(2) + f(5) can be obtained if we replace x with numerical values 2 and 5 in f(x) which is,

f(2) + f(5) = 2(2) - 5 + 2(5) - 5.

f(2) + f(5) = 4 - 5 + 10 - 5.

f(2) + f(5) = 4

learn more about functions here :

https://brainly.com/question/12431044

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Find the slope
please help!

Answers

Answer: the slope is 1/1

Step-by-step explanation:

it rises up 1 and goes over 1

Answer:

4/5

Step-by-step explanation:

(4, 2)

(-1, -2)

Slope = (y2 - y1)/(x2 - x1)

2 - (-2)/4 -(-1)

Slope = 4/5

Hope this helps!

Let me know if I'm incorrect :)

Can you please solve this?

Answers

Answer:

I think it’s c

Step-by-step explanation:

Plz help this assignment is due today!!! Also plz make sure to write the equation, graph, and type the solution. Thank you

Answers

Answer:

u can search on google the example

Hayden likes building radio-control sailboats with his dad.One of the sails shaped like a triangle has side lengths measuring 6 inches 8 inches and 10 inches. To log her activity Hayden creates and collects drawings of all the boats she and her father built together. Using the scale factor of 1/4 creat a scale drawing of the sail.

Answers

Answer:

1.5 inches ; 2 inches ; 2.5 inches

Step-by-step explanation:

Given that the original measurement of the triangular sail is :

6 inches, 8 inches and 10 inches

Scale factor = 1/4

Hence, scaled diagram of the triangular sail :

1/4 * (6 inches, 8 inches, 10 inches)

1/4 * 6 = 1.5 inches

1/4 * 8 = 2 inches

1/4 * 10 = 2.5 inches

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