Mr Lee has a family of 6 people and Mrs Scarlett has a family of 4. They were given 15 kg of chocolate
when they visited a chocolate factory for work. If they decide to share it so that each family
member gets an equal amount, determine the required ratio and hence calculate how much
chocolate Mr Lee and Mrs Scarlett will each take home to their families.

Answers

Answer 1

Answer:

Mr. Lee takes home 9 kg of chocolate.

Mrs. Scarlet takes home 6kg of chocolate.

Step-by-step explanation:

Mr. Lee has a family of 6 people, and Mrs. Scarlett has a family of 4 people.

Together, the total number of people is 6 + 4 = 10

If we divide evenly the chocolate between all 10, then each one gets the same amount.

Then we need to do the quotient:

15kg/10 = 1.5kg

This means that each person gets 1.5kg of chocolate.

And Mr. Lee has 6 on his family, then the amount of chocolate that Mr. Lee takes home is 6 times 1.5 kg

6*1.5kg = 9kg

Mr. Lee takes home 9 kg of chocolate.

Mrs. Scarlett has a family of 4 people, then she takes home 4 times 1.5kg of chocolate, this is:

4*1.5kg = 6kg

Mrs. Scarlet takes home 6kg of chocolate.


Related Questions

Use complete sentences to describe why postulates are helpful.​

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Postulates are statements that are assumed to be true with out proof

If x : 3 = 5 : 7 , then x = ………

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Answer:

the answer is A which 2(1/7)

When multiplying or dividing integers, if the signs are the same, you keep the sign for the answer.
GIVING BRAINLIST PLEASE ANSWER CORRECT!!! ‍
False

True

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It is true it is a known and common fact

Evaluate the expression 42 + 5/9y

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Combine
5
9
5
9
and
y
y
.
42
+
5
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f(x) = 5x^2 + 14
g(x) = 4x + 8
What is f(g(-8))?

Answers

Answer:

it is 24

Step-by-step explanation:

i did andn i got 1000

ratio of width to length is 2:3 if the length 18 meters what is the width

Answers

Answer:

12

Step-by-step explanation: 18/3=6 6(2)= 12

50 points! Help fast it’s due soon

Answers

-3, 2 would be the new coordinates of point A.

Answer:

A' = (-3, 2)

Step-by-step explanation:

Reflection over y-axis results in:

(x, y) → (-x, y)

Point A is (3, 2)

It's reflection is:

(3, 2) → (-3, 2)A' = (-3, 2)

The diagram shows a square with a perimeter of 20 cm.
Not drawn
accurately
Eight of these squares fit together to make a rectangle.
Not drawnaccurately
What is the perimeter of the rectangle?​

Answers

Basically that’s it but write it down by yourself

The perimeter of the rectangle is 70cm.

What is perimeter?

Perimeter is the total length of the sides of a two-dimensional shape.

What is the formula for the perimeter of square?

Perimeter of the square is given by

P = 4a

where,

a is the side length of the square.

P is the perimeter of the square.

What is the formula for the perimeter for the rectangle?

Perimeter of the rectangle is given by

P = 2( l + b)

Where,

l is the of the rectangle

b is the breadth of the the rectangle

According to the given question.

We have the perimeter of the square is 20cm.

⇒ 4a = 20

⇒ a = 5cm

⇒ Each side length of the square is 5cm

And a rectangle made of 10 squares.

⇒ length of the rectangle = 5×5 = 25cm

and the breadth of the rectangle = 2 × 5 = 10cm

Therefore, the perimeter of the rectangle = 2(25 + 10) = 2 × 35 = 70cm

Hence, the perimeter of the rectangle is 70cm.

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cos 2 * (x/2) = (sec(x) + 1)/(2sec(x))

Answers

Answer:

Answer below

Step-by-step explanation:

I really hope it works

Write the equation of a vertical line running through the point (-2,-10)

Answers

Equation would be x=-2. That creates a vertical line where all x values are -2 and therefore inclusive of (-2,-10).

A pair of shoes usually sells for $60. If the shoes are 20% off, and sales tax is 7%, what is the total price of the shoes, including tax?

Answers

Answer:

$50.88

Step-by-step explanation:

Adjusted Price without tax = 0.8 * 60,

0.8 * 60 = 48,

With Tax = 1.06 * 48,

1.06 * 48 = 50.88

∴ New Price = 50.88

Answer:

Its $12.84

Step-by-step explanation:

20 percent of $60 is 12, and the sales tax is $.84, so you add those two together and you get $12.84! Hopes this helps and good luck!

Olivia has a points card for a movie theater. She receives 80 rewards points just for signing up. She earns 2.5 points for each visit to the movie theater. She needs at least 105 points for a free movie ticket. Write and solve an inequality which can be used to determine xx, the number of visits Olivia can make to earn her first free movie ticket.

Answers

Answer:

10 visits

Step-by-step explanation:

According to the scenario, calculation of the given data are as follows,

Rewards for signing up = 80 points

Reward per visit = 2.5 points

Total points needed = 105

Let, number of visits = x

So, we can calculate number of visits by using following formula,

80 + (2.5 × X) = 105

2.5X = 105 - 80

2.5X = 25

X = 25 ÷ 2.5

X = 10 visits.

Hence, Olivia needs to make 10 visits in order to earn a free movie ticket.

Plz help me I will give you brainliest and 10 points

Answers

Answer:

0.08522

Step-by-step explanation:

38 < 4x - 10
help me out plz n ty

Answers

Answer:

Step-by-step explanation:

Bringing like terms on one side

38 + 10 < 4x

48 < 4x

48/4 < x

12 < x

In triangle XYZ, XY¯¯¯¯¯¯¯¯=15, YZ¯¯¯¯¯¯¯=8, ∡X=(3w−35)°, and ∡Y=52°. In triangle RST, RS¯¯¯¯¯¯¯=15, RT¯¯¯¯¯¯¯=8, ∡R=(w+17)°, and ∡S=52°. Find the angle measure for each of the four angles whose measures are not known.



A. ∡R=43°, ∡T=85°, ∡X=43°, ∡Z=85°


B. ∡R=64°, ∡T=64°, ∡X=64°, ∡Z=64°


C. ∡R=35°, ∡T=93°, ∡X=35°, ∡Z=93°


D. ∡R=52°, ∡T=76°, ∡X=52°, ∡Z=76°

Answers

Answer:

A. ∡R=43°, ∡T=85°, ∡X=43°, ∡Z=85°

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Cosine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

[tex]a^2=b^2+c^2-2bc*cos(A)[/tex]

In triangle XYZ, we can find XZ using cosine rule:

[tex]XZ^2=XY^2+YZ^2-2(XY)(YZ)cosY\\\\subtituting:\\\\XZ^2=15^2+8^2-2(15)(8)cos(52)\\\\XZ^2=141.24\\\\XZ=11.88\\\\Using\ sine\ rule:\\\\\frac{XZ}{sin(Y)}=\frac{XY}{sin(Z)}\\\\\frac{11.88}{sin(52)}=\frac{15}{sin(Z)}\\\\sin(Z)=15*sin(52) /11.88\\\\sin(Z)=0.9946\\\\Z=sin^{-1}(0.9946)\\\\Z=85^0[/tex]

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

∠X + 52 + 85 = 180

∠X + 137 = 180

∠X = 43°

∠X = 3w - 35

3w - 35 = 43

3w = 78

w = 26

In triangle RST, using sine rule:

∠R = w + 17

∠R = 26 + 17

∠R = 43°

∠R + ∠S + ∠T = 180° (sum of angles in a triangle)

43 + 52 + ∠T = 180

∠T + 95 = 180

∠T = 85°

(Write an equation to go with the problem) Miranda goes to the store to buy 3 apples and some rice. The total was 6.50. If the rice cost $5.00, what was the cost per Apple?

Answers

Answer:

14.15 is the answer..comment it if that subtraction or multiple division

Answer:   3x + 5 = 6.50  is the equation where x represents the cost per apple and the cost per apple is 50 cents.

Step-by-step explanation:

In this situation we will represent the cost per apple by the variable x.

If she bought 3 apples, then 3 has to be multiply by x to find the cost so we will have the expression 3x

The rice cost $5  and she spend a total of 6.50  so  3x has to be add to 5 and it has to equal 6.50.

3x + 5 = 6.50  You can now solve for x in the equation to find the cost per apple

3x + 5 = 6.50

     -5       -5

 3x = 1.5

x= 0.5  

This means  the cost of an apple is 50 cents.

What is the solution to the equation? 13 3/4+X= 7 1/ 4​

Answers

Answer: x=-6 1/4

Step-by-step explanation:

a triangle has sides measuring 31 in 18in and 25 in what is the perimeter of the triangle​

Answers

31+18+25=74 inches in total :)

Write the equation of a line through (-1,-5) parallel to 3x-y=5, and in slope intercept form

Answers

Answer:

y = 3x -2

Step-by-step explanation:

The general equation form is;

y = mx + b

where m is the slope and b is the y-intercept

For the equation given;

y = 3x -5

the slope from here is 3

If two lines are parallel, they have equal slopes

This mean that the slope of the line we want to calculate too is 3

Now we can use the point slope format to get the correct equation

y-y1 = m(x-x1)

y+ 5. = 3(x+ 1)

y = 3x + 3 -5

y = 3x -2

If ya dont mind can u help me .....thanks


Today 108 people visited a water park during the first hour that the park was open.

This number of people is 40% of the number of people who visited the water park

during the first hour yesterday.




How many people visited the water park during the first hour yesterday?

F 148

G 270

H 292

J 151

Answers

Divide the people who costed today by the percentage:

108/0.40 = 270

The answer is G. 270

Write System of Equations from Context

Mason owns a trucking company. For every truck that goes out, Mason must pay the driver $13 per hour of driving and also has an expense of $1 per mile driven for gas and maintenance. On one particular day, the driver drove an average of 30 miles per hour and Mason's total expenses for the driver, gas and truck maintenance were $258. Write a system of equations that could be used to determine the number of hours the driver worked and the number of miles the truck drove. Define the variables that you use to write the system.

Answers

Answer:

x and y

Step-by-step explanation:

Which postulate proves that the triangles below are similar?
SSS
AA
SAS
These triangles are not similar

Answers

Answer:

AA~

Step-by-step explanation:

These triangles are similar but not congruent. One triangle is bigger than the other, meaning none of the side lengths are the same. On the triangles, two angles are given, a 53 degree and a 90 meaning that you would us the AA rule to determine if they are similar. Which they are.

The two triangles are similar triangles using AA postulate.

What are Similar Figures?

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

Given one of the angles in both the triangles is equal to 53°, the other angle is 90°, which are also the vertical angles to each other. As shown below.

Hence, the two triangles are similar triangles using AA postulate.

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*PLEASE HELP ME ASAP* Sydnis room is 32 ft by 40 ft. She needs to make a scale drawing of her room that is 8 in. by 10 inc. What is the scale she needs to use?
1 inch = 8ft
1 inch = 4 ft
1 inch = 2 ft
1 inch = 1 ft

Answers

1 inch equals four 4 because 32 divided by 4 is 8 and 40 divided by 4 is 10

are 2x3 and 4x4 like or unlike terms

Answers

Answer:

They are like terms

Step-by-step explanation:

Answer:They are like terms!

Step-by-step explanation:

Please help me solve this

Answers

Its 70% because 7/10 is .7

Andy played with Buzz 65% of the time. How many times did andy play with Buzz if her played with his toys 20 times?

Answers

Answer:

13

Step-by-step explanation:

yes.

Step-by-step explanation:

65/100×29

13

plz make me brainlest

You brought a magazine for $3 and some candy bars for $2 each. You spent a total of $19. How many candy bars did you buy?

Answers

Answer:

8

Step-by-step explanation:

Answer:

Candy bars: $13

Step-by-step explanation:

$3 magazine + $13 total of candy bars = $19

Help pls this is timed!!!!!!! Pls and thank you ;P
Who supported the formation of Washington Territory out of a belief that it was America’s destiny to settle the Pacific Northwest?

A.)President Millard Fillmore
B.)Governor Isaac Stevens
C.)Oregon Territory’s northern settlers
D.)Oregon Territory’s southern settlers

Answers

Answer:

A. President Millard Fillmore

The answer is letter A !

select all relations that are functions from the choices below.

Answers

The correct answer is A

Two trains, Train A and Train B, weigh a total of 381 tons. Train A is heavier than Train B.
The difference of their weights is 193 tons. What is the weight of each train?
I need this answer quick!

Answers

Answer:

Train A is 287 tons

Train B is 94 tons

Step-by-step explanation:

My method of solving it may have been a bit different from how you were taught. I divided 381 by 2 to give both trains an equal weight of 190.5 tons. I then divided the difference, 193, by 2 to get 96.5 tons. I subtracted the new difference from the weight of Train B and added it to train A. To double check, you can grab a calculator and see that their weights are equal to 381.

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