10 Two factory workers win the in-house raffle with a prize of £240. Monika and Robert share the prize money in a ratio of

3:5. How much does Monika get?

(a) £120

(b) £200

(c) £60

(d) £90

Answers

Answer 1

Answer:

(d) £90

Step-by-step explanation:

Total raffle prize = £240

Ratio of sharing

Monika : Robert

3 : 5

The amount Monika get is calculated as

3/(3 + 5) × £240

= 3/8 × £240

= 3 × 30

= £90

Therefore, the amount Monika gets is £90


Related Questions

A rectangle with length of 9 centimeters and width of 5 centimeters. The perimeter of the rectangle is cm. If the rectangle is dilated by a scale factor of 6 to create a new rectangle, the new dimensions are . The perimeter of the new rectangle is ✔ 168 cm. When comparing the new perimeter to the original perimeter, the new perimeter is .

Answers

The perimeter of the new rectangle is 150 cm more than the original perimeter.

What is a rectangle?

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a rectangle, opposite sides are parallel and equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

A rectangle with a length of 9 centimeters and a width of 5 centimeters.

The perimeter of the rectangle will be

Perimeter = 2 (9 + 5)

Perimeter = 2(14)

Perimeter = 28

If the rectangle is dilated by a scale factor of 6 to create a new rectangle, the new dimensions will be

Length = 6 × 9 = 54 cm

Width = 6 × 5 = 30 cm

The perimeter of the new rectangle is 168 cm.

When comparing the new perimeter to the original perimeter, the new perimeter will be

→ New perimeter - original perimeter

→ 168 - 28

→ 150

The perimeter of the new rectangle is 150 cm more than the original perimeter.

More about the rectangle link is given below.

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Answer:

1. C
2. D
3. D
4. B

Step-by-step explanation:


(You will need a calculator.) Suppose you deposit $4800 into an account paying 3.2% simple annual interest and leave it there for six years.
Assuming that you make no other deposits or withdrawals, how much will the account hold at the end of that time?
Answer: $
(Round your answer to the nearest cent. Enter only the number without commas, not the dollar sign.)

Answers

The answer is 38,016. You have to multiply 4800 by 6 which equals 28,800. then multiple 0.32 times 4800 which equals 1538. multiply 1538 by 6 which equals 9,216 and then add 28,800 which equals it to 38,016.

Answer:

Step-by-step explanation:

principal (P) = $4800

Interest (I) = 3.2%

Time (T) = 6 years

Now

I = (P*T*R)/ 100 = (4800*3.2*6) / 100 = 921.6

Amount (A) = P + I = 4800 + 921.6 = $5721.6 = $5272

     

4. Rewrite the expression using the distributive property.
(7•3) + (7•7)

Answers

(7•7)+(7•7)

We can use the formula of distributive property
a(b+c)=ab+ac
So it will look like a(b+c)= (7•7)+(7•3)
A is 7, B is also 7, and C is 3. Plug those in and you get 7(7+3)

Answer: 7(7+3)

Hope this helps ʕ•ᴥ•ʔ

Margo baked 120 cookies for the school big sale 84 of the cookies were chocolate chip what portion of the cookies were chocolate chip select the three correct answers a 42/60 B 84% C7/10 D 0.70 E 0.84

Answers

D

Explanation:
120*0.70
84

So, 70 percent of 120 is 84. Which means the chocolate chip cookies are 70% (0.70) of the cookies in all.

You work at a sporting goods store and make commissions on the products you
help sell. If you earn a 5.5% commission on all regular priced items, and a 4.5%
commission on all items on sale, how much do you earn in a week where you sell
$8,800 worth of regular goods, and $10,650 worth of items that are on sale?

Answers

Answer:

963.25

Step-by-step explanation:

8,800x0.055=484

10,650x0.045=479.25

484+479.25=963.25

Tell me the correct anser

Answers

Answer:

D is the correct answer

The volume of a cylinder is 675π cm3. The radius of the base of the cylinder is 5 cm. What is the height of the​ cylinder?

Answers

Answer: 27 cm

Step-by-step explanation:

We know that the volume of a cylinder is [tex]V=\pi r^2h[/tex]. Since we were given the volume and radius, we can plug them in and solve for height.

[tex]675\pi =\pi (5^2)h[/tex]              [divide both sides by π]

[tex]675 = (5^2)h[/tex]                  [exponent]

[tex]675=25h[/tex]                     [divide both sides by 25]

[tex]h=27[/tex]

Now, we know that the height is 27 cm.

2. Select all ratios that are equivalent to 3:18.
21:126
6:36
1:6
1:18
15
21

Answers

Answer:

21:126

6:36

1:6

Step-by-step explanation:

How would you write an explanation for a, b, and c? Mississipi is the data point on the upper left that is an outlier

Answers

Step-by-step explanation:

a. Your answer is correct.  The trend is that obesity rate increases with the number of fast food restaurants per capita.  Since Mississippi has a high obesity rate and number of fast food restaurants per capita, it goes against the trend.  It is an outlier in terms of the relationship.

b. The number of restaurants per capita is between 2 and 6 for most states.  Mississippi's number of restaurants per capita is within this range, so it is not an outlier.

c. The obesity rate is between 22 and 38 for most states.  Mississippi's obesity rate is within this range, so it is not an outlier.

Which set of ordered pairs represents a function?
o {(5,-2), (-5,2), (-5, -4),(4, -5)}
{(9,6),(-1,7), (9,–7), (4,7)}
o {(-1,0),(-8, 9), (7,0), (1,3)}
{(8,6), (8, –4), (-7, -2),(-1, —8)}

Answers

Answer:

{(-1,0),(-8, 9), (7,0), (1,3)}

Step-by-step explanation:

number 3 is the only one with no colliding outputs.

simplify to create an equivalent expression-4(z+3)-4(5-4z)

Answers

Answer:

12z−32

Step-by-step explanation:

Distribute:

=(−4)(z)+(−4)(3)+(−4)(5)+(−4)(−4z)

=−4z+−12+−20+16z

Combine Like Terms:

=−4z+−12+−20+16z

=(−4z+16z)+(−12+−20)

=12z+−32


A rate of 5 yards per second is equal to how many yards per minute?

Answers

Answer:

300 yards per minute

Step-by-step explanation:

60 seconds in a minute 5 yards per second

5x60=300 yards per minute

When considering different sampling methods, cluster sampling includes the steps: _______.
a. use simple random sampling to select a set of groups; every individual in the chosen groups is included in the sample
b. list the members of the population; use simple random sampling to select a starting point in the population; let k = (number of individuals in the population)/(number of individuals needed in the sample); choose every kth individual in the list
c. starting with the one that was randomly selected
d. divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group
e. identify individuals of the population that are easily accessible; obtain data from these individuals

Answers

Answer:

d. divide the population into groups; use simple random sampling to identify a proportionate number of individuals from each group

Step-by-step explanation:

Remember, a cluster represents a selection out of a group belonging to a larger population. Thus, cluster sampling includes the steps;

divide the population into groups;use simple random sampling to identify a proportionate number of individuals from each group.

For example, A bus company wants to survey all its customers for a particular day, using cluster sampling, they will randomly select 10 trips that day and survey some or all the passengers on those trips.

Answer:

B

Step-by-step explanation:

Combine like terms -2+5x-8x+4

Answers

Answer:

-3x+2

Step-by-step explanation:

5x-8x-2+4

= -3x+2

Answer:

-2+5x-8x+4

-3x+2

Step-by-step explanation:

In an alloy of gold and silver the ratio of the amount of gold to the amount of silver is 2:5.

What is the weight of gold in the alloy, if there are 80g of silver?

Answers

Given :

The ratio of the amount of gold to the amount of silver is 2:5.

To Find :

The weight of gold in the alloy, if there are 80 g of silver.

Solution :

Let, amount of gold is x.

So, the ratio of amount of gold and silver is :

[tex]\dfrac{x}{80}=\dfrac{2}{5}\\\\x=32\ g[/tex]

Therefore, the weight of gold in the alloy is 32 g.

Hence, this is the required solution.

Answer:

32

Step-by-step explanation:

do 80÷5=16 to get unit. Then do 16*2=32

what is the capital of poland?​

Answers

Answer:

Warsaw is capital of poland

Answer:

Warszawa

Step-by-step explanation:

When a number x is multiplied by 6, the result is 3/8 What is the value of x?​

Answers

Answer:

1/16.

Step-by-step explanation:

6x  = 3/8

Divide both sides by 6:

6x / 6 = 3/8 / 6

x = 3/8 *  1/6

= 3/48

= 1/16.

Dan and David are marking exam papers. Each set takes Dan 37 minutes and David 1 hour.
Express the times Dan and David take as a ratio in its simplest form.

Answers

Answer:

37:60

Step-by-step explanation:

Change 1 hour into minutes= 60 minutes

37 minutes: 60 minutes

The ratio of times Dan and David take as a ratio in its simplest form is,

60 : 37.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, Dan and David are marking exam papers.

Each set takes Dan 37 minutes and David 1 hour or 60 minutes.

Therefore, The ratio of time taken by Dan and David is

60 : 37.

learn more about proportion here :

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ASAP
Sales tax is calculated as a percentage of the sales price. If sales tax is 6%, what is the sales tax on clot that cost 180
$6.00
O $9.80
$10.80
O $18.60

Answers

The answer should be $10.80.
The reason being. 180 x 6% = 10.80. You would then add 10.80 to 180 to get the total which would be $190.80. But you only need what the tax would be so the tax would be $10.80

I need help on fractions and decimal world problems​

Answers

What answer do you need help on

The equation of a parabola with a vertex as the origin is y2=−4px. If 4p=12, what is the equation of the directrix?

Answers

Answer:

-5

Step-by-step explanation:

3,394 divided by 42

Answers

Answer:

80.80

Step-by-step explanation:

3394/42 simplified would be 1697/21

as a mixed form it would be 80 and 17/21

As a decimal, 80.809...

Hope this helps :)

Solve for g.
s=4g + 4u

Answers

Answer:

[tex]\frac{s-4u}{4}[/tex]

Step-by-step explanation:

[tex]s=4g+4u[/tex]

Switch sides:

[tex]4g+4u=s[/tex]

Subtract 4u from both sides:

[tex]4g+4u-4u=s-4u[/tex]

[tex]4g=s-4u[/tex]

Divide both sides by 4:

[tex]\frac{4g}{4}=\frac{s-4u}{4}[/tex]

[tex]g=\frac{s-4u}{4}[/tex]

Answer:

g= s/4-u

Step-by-step explanation:

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

c. When the cost of flour was Rs 28 per kg, the weight of a bread was 496 gram.
What will be the weight of bread if the cost of flour increases to Rs 32 per kg?

Answers

Answer:

hope it helps

plz mark as brainliest

Answer:

when cost of flour was 28 then cost of bread is 496

so the coost of bread if flour cost 32 = 496*32/28=566.86

Step-by-step explanation:

HELP ME PLEASE WHAT IS THE ANSWER TO THESE QUESTIONS

Answers

Answer:

question 3.3 Answer: Angle 3

question 3.4  Answer: ABD and DBC are complementary angles

question 3.5  Answer: x is 7 degrees (first answer option)

Step-by-step explanation:

First question:

Recall that suplementary angles are those whose addition gives 180 degrees. Therefore the supplementary angle to angle 8 is angle 3.

Second question:

Recall that complementary angles are those angles which added give 90 degrees. Therefore, the only correct answer for this question is the third one: ABD and DBC are complementary angles.

Third question:

Notice that the two angles added should render 90 degrees, therefore, their expression should as well add to 90 degrees. Such can be written in equation form as:

( 6 x - 20 ) + (4 x + 40 ) = 90

combining like terms and later solving for x we get:

6 x + 4 x - 20 + 40 = 90

10 x + 20 = 90

10 x = 90 - 20

10 x = 70

x = 7

Therefore x is 7 degrees

Evaluate (-5z)^3 . Write your answer using only positive exponents. Evaluate any numerical powers.

Answers

Answer:

-125z³

Step-by-step explanation:

-5 times - 5 = 25 canceling negative

125 times -5 = -125

zXzXz = z to power of 3 =z³

What's 2|–9| – |–2|? Question 10 options: A) 20 B) –18 C) 16 D) –20

Answers

Answer:

Step-by-step explanation:

7

I think it would be 16
2 x -9 =-18 and which the absolute value sign would make it positive 18 then 18 - the absolute value of -2. 18-2= 16

not sure if that is the answer tho

Tim biked 40 miles in 2 hours. His Rate is
every hour.
This means Tim biked
miles for every hour ?

Answers

Answer:

20 miles/hour

Step-by-step explanation:

40 miles in 2 hours,

thus,

         40/2 miles  in 2/2 hours = 20 miles in 1 hour.

Therefore, Tim bikes 20 miles per hour.  

Inez says you can plot 4/5 on a number line, but Jeremiah says you cannot. Who is correct?

Answers

Inez is correct, 4/5 is a real number

Answer:

Inez is correct.

Step-by-step explanation:

You can plot any real number on a number line.

What is the sum of the first 10 even multiples of 8?

Answers

the first 10 multiples of 8 are 8,16,24,32,40,48,56,64,72 and 80.

all of those numbers add up to the sum of 440

440 is ur answer :)
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