A bonus of £3150 is shared by 15 people who work for a company.
40% of the bonus is shared equally between 3 managers.
The rest of the bonus is shared equally between 12 salespeople.
One of the salespeople says,
“If the bonus is shared equally between all 15 people I will double the money.
Is the salesperson correct?
You must show how you get your answer.

Answers

Answer 1

Answer:

We have a bonus of £3150

40% is divided between 3 managers, so if

100% = £3150

40% = X

Now we can solve this for X by taking the quotient of these two equations:

(100%/40%) = (£3150/X)

Then:

X = £3150*(40%/100%) = £1260

Then each one of the 3 managers gets:

£1260/3 = £420

Each manager gets £420

The other £3150 - £1260 = £1890

are divided between 12 salespeople, then each one gets:

£1890/13 = £157.5

Each one of the salespersons will get £157.5

Now there is the case where we divide the £3150 evenly between the 15 workers.

We get:

£3150/15 = £210

Each worker gets £210.

Notice that before, each salesperson gets £157.5 and in this case, each salesperson gets £210.

Then the statement:

"If the bonus is shared equally between all 15 people I will double the money."

Is false.


Related Questions

Diver Dan enjoys scuba diving. He dives to 34 feet below the surface of a lake. His friend Jump in Jeff dives to 40 feet below the surface, but then descends 20 feet. What is the vertical distance between Dan and Jeff? Please show work.

Answers

Answer:

The vertical distance between Dan and Jeff is of 26 feet.

Step-by-step explanation:

Diver Dan enjoys scuba diving. He dives to 34 feet below the surface of a lake.

His position is -34 feet.

His friend Jump in Jeff dives to 40 feet below the surface, but then descends 20 feet.

Dives to 40 feet, and descends 20 more feet. So

-(40 + 20) = -60

What is the vertical distance between Dan and Jeff?

|-34 - (-60)| = |-34 + 60| = 26

The vertical distance between Dan and Jeff is of 26 feet.

Olivia wrapped a string around a circle and found it was 30 mm long. Approximately, what is the radius of this circle
A. r= 4.77mm
B. r= 7.5mm
C= r= 9.55
D= r= 15mm

Answers

Answer:7.5

Step-by-step explanation: cause I looked it up lol

Help due soon
find the area using 3.14 for π
round to the nearest Hundredth if you have too

Answers

Answer:

Circumf = diam * PI = 4 * 3.14159265 = 12.57 m

Area = PI * radius^2 = 3.14159265 * 2^2 = 12.57 square meters

Step-by-step explanation:

Help please! What is 438 x 934? I'm timed (gc for the school peeps sending this to them)

Answers

Answer:

438 x 934=409092

Step-by-step explanation:

I hope this helps.

Help please !!

Thanks

Answers

Answer:

The starting height

In ΔPQR, the measure of ∠R=90°, the measure of ∠P=40°, and QR = 5.1 feet. Find the length of RP to the nearest tenth of a foot.

Answers

Answer:

The answer is 6.1 feet

Step-by-step explanation:

Answer:6.1

Step-by-step explanation:

What is the median 3 7 4 6 10

Answers

Arrange them in ascending order
3,4,6,7,10
Median = the term in the middle = 6

Candy company produces 4800 candies per minute. How many in an hour. Must show work

Answers

Answer:

288,000 candies in 1 hour

Step-by-step explanation:

4800 candies per minute

60 minutes = 1 hour

4800 × 60 = 288,000

how to multiply square roots in scientific notation and divide them

Answers

I hope this helps u!

Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes

Answers

-4.9(-2)=9.8
9.8-9.2=0.6
the answer is 0.6

Answer:

0.6

Step-by-step explanation:

(- 4.9 × -2) - 9.2

9.8 - 9.2 = 0.6

2/3 + 1/4 show work plsss

Answers

Answer:

2/3=8/12+(1/4=3/12)=11/12

Answer=11/12

Nolan's car used 2 gallons to travel 50 miles. How far can he travel on 3 gallons?

Answers

Answer:

On 3 gallons, he could travel 75 miles

Step-by-step explanation:

50 / 2 = 25 miles per gallon

25 * 3 = 75miles

5929596167356137525183482795462456÷26.332583

Answers

Answer:2.25180954E32

Step-by-step explanation:

Sam earned $450 during winter vacation. He needs to save $180 for a camping trip over spring break. He can spend the remainder of the money on music. Write ar
inequality to show how much he can spend on music. Then, graph the inequality.

Answers

Answer:

180 + s <= 450; s <= 270

Step-by-step explanation:

s = amount of money spent on music.

max amount that can be spent on s = 450 - 180 = 270 so s <= 270.

Area of a trapezoid help please

Answers

Answer:

143

Step-by-step explanation:

A = (b1 + b2)h/2

A = (18 + 8)(11)/2

A = 143

Answer: 143

PLEASE HEEEEELP,WILL GIVE BRAINLIEST
Also can you explain how you got your answer

Answers

when finding the bottom numbers, divide the top number by 3

when finding the top numbers,
multiply the bottom number by 3

21 / 3 = 7
12 X 3 = 36
20 X 3 = 60
90 / 3 = 30

answer: c

Answer:

The answer is c! 7,36,60,30

Step-by-step explanation:

To answer this equation you have   to find  a number that fits the description of what is required. It may seem difficult but it's not  first off it's trial and error  you have to find the right equation for every given number. For example,  what makes 15  equal 5  true? To make the equation true you have to do 15 divided by 3 equals 5  now we take the / 3 and apply them to all the other numbers  so 21 / 3 is  7 ,  36  divided by 3 is 12  hi, 60 / 3 is 20 ,  90 /3 is 30. If you have any other question like this all you have to do is trial and error with a number to make the equation true hopefully that helps! (B.t.w / symbol means divided by)

Solve the following quadratic equation for all values of x in simplest form.
20+ 2x= 28

Answers

Answer:

x = 4

Step-by-step explanation:

To solve, we need to isolate x.

Start by moving the 20 to the other side by subtracting it from both sides.

2x = 8

Since x is being multiplied by 2, we need to divide both sides by 2 to move it to the other side.

x = 4

A baseball team offers a promotion. Normally it’s $12 for bleacher seats, but every specially marked soda can takes $0.50 off the price.
Make a table with the following information:
Cans: 0, 2, 4, 6
Cost:


Equation:

Answers

Answer:

$12,$11,$10,$9

Step-by-step explanation:

As the starting price is $12, the first piece of information they give you is the number of cans + the discount each one gives, meaning that the table should have two titles being cost and cans. The number of cans should be at the top with the price being put below for example.

cans:  0    2   4    6

cost:  12   11   10   9

that is the table; the equation to figure this out would be

if you say that 1 can is = to "x"

then the equation becomes much easier to write down and you can simply write it down for each price

cost = 12

cost = 12 - 2x = 11

cost = 12 - 4x = 10

cost = 12 - 6x = 9

making x worth 0.5

Answer: $12,$11,$10,$9

Step-by-step explanation:

As the starting price is $12, the first piece of information they give you is the number of cans + the discount each one gives, meaning that the table should have two titles being cost and cans. The number of cans should be at the top with the price being put below for example. cans:  0    2   4    6 cost:  12   11   10   9 that is the table; the equation to figure this out would be if you say that 1 can is = to "x" then the equation becomes much easier to write down and you can simply write it down for each price cost = 12 cost = 12 - 2x = 11 cost = 12 - 4x = 10 cost = 12 - 6x = 9 making x worth 0.5

Geometry Question Need Help

Answers

Answer:

Step-by-step explanation:

y = x² + 6x + 12

 = x² + 6x + 3² - 3² + 12

 = (x+3)² + 3

vertex (-3,3)

can someone plz help?

solve for x in the triangle below given that AB =4cm ,BC=3cm and AC =x​

Answers

Use the Pythagorean Theorem.
4^2+3^2=x^2
16+9=x^2
x=5

AC=5

Answer:

5

Step-by-step explanation:

a²+b²=c²

4²+3²=c²

25=c²

c=√25

c=5

Fill in the missing terms of the arithmetic sequence,
-7. 1,5-13

Answers

Answer:

-3, 9

Step-by-step explanation:

The constant is 4.

What characteristic is true for all relations that are functions

Answers

Answer:

every y value in the relation has exactly one x value

Help find anwser please

Answers

Answer:

D.92

Step-by-step explanation:

A triangle adds up to 180

1 Step.

180-148 = 32

this is the missing angle

2 Step.

to find h

180-(32+56)= 92

7. Quadrilateral MNPQ has vertices M(4,0), N(0,6), P(-4,0) and Q(0, -6). Determine whether
MNPQ is a parallelogram, a rhombus, a rectangle, a square, or a quadrilateral. Choose the most
specific term. Show work.

Answers

Answer:

SQUARE

Step-by-step explanation:

If Quadrilateral MNPQ has vertices M(4,0), N(0,6), P(-4,0) and Q(0, -6).

Find the following MN,  NP, PQ and MQ

Using the formula for calculating the distance between two points

MN = √(6-0)²+(0-4)²

MN = √6²+4²

MN = √36+16

MN = √52

MN = 2√13

NP = √(0-6)²+(-4-0)²

NP = √6²+4²

NP = √36+16

NP = √52

NP = 2√13

PQ = √(-6-0)²+(0-(-4))²

PQ = √6²+4²

PQ = √36+16

PQ = √52

PQ = 2√13

MQ = √(-6-0)²+(0-4)²

MQ = √6²+4²

MQ = √36+16

MQ= √52

MQ = 2√13

Since the length of all the sides are equal, hence the shape is a SQUARE

Answer:

D

Step-by-step explanation:

Trust me, I got it correct.

The leteras Surface area of a cube is 324cm3
find the value and its total surface area​

Answers

Step-by-step explanation:

hope it will help you

good luck

What is 734.91 rounded to the nearest ten

Answers

Answer:

735

Step-by-step explanation:

10
What shape is both a rhombus and a rectangle?
A.triangle
B.trapezoid
C.Square
D.kite

Answers

C
A square can be defined as a rhombus which is also a rectangle – in other words, a parallelogram with four congruent sides and four right angles. A trapezoid is a quadrilateral with exactly one pair of parallel sides.

The shape that is both a rhombus and a rectangle is a square (option a).

A square possesses the characteristics of both a rhombus and a rectangle. A rhombus is a quadrilateral with all sides of equal length, while a rectangle is a quadrilateral with four right angles. A square satisfies both conditions, as it has four equal sides and four right angles.

Therefore, a square can be classified as a rhombus because its sides are equal, and it can also be classified as a rectangle because it has right angles. The square is a special case where the properties of both a rhombus and a rectangle are met, making it the correct answer. The correct option is a.

To know more about rectangle:

https://brainly.com/question/15019502


#SPJ6

In ARST, the measure of ZT=90°, TR = 18 feet, and RS = 44 feet. Find the measure of
ZR to the nearest degree.

Answers

Answer:

66

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

deltamath

А
B
Scarlett walks along the edges of a
rectangular path from A to B to C to D, a
distance of 38 metres. Jake walks along the
same rectangle, but from B to C to D to A,
a distance of only 31 metres.
What is the area, in square metres, of rectangle ABCD?
D
С

Answers

Answer:

168 meters squared

Step-by-step explanation:

So we know that Jake walked from b to c and d meaning he didn't go from a to b, but we also know that scarlet walked a to b so to find the length we can subtract scarlet's walk by jake's walk or 38-31 which is 7.

So we know the length of one side is 7 so this means we have side a to b and c to d, but we still need to know b to c. So what we can do is get the length of a b c and d and isolate it so that we only have b to c. To do this we get the length of 7 and double it which is 14 and take it away from the 38m

38-14=24

so now we know that the side is 24 and we can solve for the area

24*7=168

so the answer is 168 meters squared

Someone please help me answer this!!

Answers

Answer:

[tex]y^{6}[/tex]

Step-by-step explanation:

Combine exponents by multiplying (2x3=6)

Answer:

[tex]y^6[/tex]

Step-by-step explanation:

[tex](y^2)^3[/tex]

Use the rules of exponents to simplify the expression.

[tex](y^2)^3[/tex]

To raise a power to another power, multiply the exponents.

y^2x3

Multiply 2 times 3.

y^6

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