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A mother shares a box of 20 chocolates in the same ratio as her children's

A mother shares a box of 20 chocolates in the same ratio as her children's ages . Calculate how many chocolates each child gets if Sibusiso is 2 years old , Dorris is 3 years old and Freddy is 5 years old. Post a FULL explanation plz.

2 months ago

Solution 1

Guest Guest #5746
2 months ago
So a box of 20 chocolates is divided between a group of people based on age So the ratio for Sibusiso, Dorris, and Freddy is 2:3:5 Add these together, and you get 10 So to find how much each person gets, divide total amount of chocolates by total age So (20÷10) = 2 So multiply each age term by 2 and you have your answer (4:6:10) So Sibusiso gets 4, Dorris gets 6 and Freddy gets 10

📚 Related Questions

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During one week, Josh ran 36 miles, Corey ran 26 miles, Rhona ran 30 miles, and Lyndsay ran 28 miles. What is the mean distance run by the four students? A. 29 miles B. 30 miles C. 36 miles D. 120 miles
Solution 1

The mean distance ran by all four of them is 30.

What are algebraic expressions?

  • In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
  • Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that during one week, Josh ran 36 miles, Corey ran 26 miles, Rhona ran 30 miles, and Lyndsay ran 28 miles.

  • A mean in math is the average of a data set, found by adding all numbers together and then dividing the sum of the numbers by the number of numbers.
  • Mathematically, we can write -

       ${\displaystyle {\bar {x}}={\frac {1}{n}}\left(\sum _{i=1}^{n}{x_{i}}\right)={\frac {x_{1}+x_{2}+\cdots +x_{n}}{n}}}

We can write the mean as -

m = (36 + 26 + 30 + 28)/4

m = 120/4

m = 30

Therefore, the mean distance ran by all four of them is 30.

To solve more questions on algebraic expressions, visit the link below -

brainly.com/question/1041084

#SPJ2

Solution 2
B.) 30 miles

You needed to add all the numbers together then divide by the amount of numbers there which is 4. (ex: 36 + 26 + 30 + 28 = 120  120÷4= 30)

hope that helps!
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Circumference of a circle = 2*π*radius of circle Radius = half of diameter =6in. So circumference = 2*π*6 =2π6
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high school student working part-time as a lifeguard had a gross income of $6596 last year. If his federal tax rate was 10% and his state tax rate was 4.15%, what was the amount withheld from his pay last year in federal tax, state tax, and FICA combined?
Solution 1

1437.93 is the answer here my guy


Solution 2
It should be $933.33 combined, since 14.15(federal tax rate and state tax rate) of 6596 is $
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Question
Your gross income is $4,520.00/month. Your deductions are FICA (7.65%), federal tax withholding (11.75%), and state tax withholding (8.5%). Your fixed expenses are 30% of your realized income. You saved 5 months' worth in an emergency fund, placing 75% in a 60-day CD at a 5.25% APR and the rest in a regular savings account at a 3.8% APR. What is the total amount of your emergency fund?
Solution 1

Answer:

$11,406.20

Step-by-step explanation:

7.65% of 4520 is

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11.75% of 4520 is

0.1175(4520) = 531.10.  This is what is withheld for federal tax.

8.5% of 4520 is

0.085(4520) = 384.20.  This is what is withheld for state tax.

This leaves 4520-(345.78+531.10+384.20) = 3258.92 for realized income.

Your fixed expenses are 30% of this; this means you keep 100-30 = 70% of your realized income.  This is

0.7(3258.92) = 2281.24.  This is the monthly amount you have after fixed expenses.

This means 5 months' worth is 5(2281.24) = 11460.20.


Solution 2
1st we need to calculate the take-home net monthly income, 2nd deduct 30% expenses then × 5 mos, then last calculate the rates for emergency fund (EF).

1) $4,520.00/month - [4520 × (FICA (7.65%) + federal tax (11.75%) + state tax (8.5%))]
= 4520 - [4520 × 0.279] = 4520 - 1261.08
= 3258.92

2) less 30% expenses every month = 3258.92-(3258.92×0.30) = 3258.92×0.70 = 2281.24,
2281.24 × 5 mos = 11,406.22

3) EF = CD + savings acct
75% of 11,406.22 = 8554.67 in 60-day CD
25% × 11,406.22 = 2851.56 in savings acct

If they want to know what this EF is at a certain point in the future, that should have been asked. Otherwise the beginning total amt of the EF after saving for 5 mos = $11,406.22
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6x*3=18x
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6x²+6x²=12x²
18x-8x=10x

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Question
(Please help me!) Which type of probability is determined by considering all possible outcomes, without actually testing them? A. Empirical probability B. Theoretical probability C. Unpredictable probability D. Random probability
Solution 1
Answer: (B) Theoretical probability.

Reason: Theoretical probability is based on reasoning by counting the numbers of favourable outcomes against the number of possible outcomes.
Solution 2

Answer: B. Theoretical probability

Step-by-step explanation: Theoretical probability is based on calculations, and not actual tests.

Question
Why 5/8 is bigger than 7/12 ?
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Because the larger the denominator, the smaller the value (especially if the numerators are the same).
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Question
Lori passes 80% of her tests. In the next week, Lori has 4 tests. She wants to determine the probability that she passes all 4 of the tests. Which simulation design has an appropriate device and a correct trial? A) Let Heads represent Lori passing a test and Tails represent Lori failing a test. Flip the coin four times. B) Roll a die letting 1-5 represent Lori passing a test and 6 represent Lori failing a test. Roll the die four times. C) Spin a spinner that is split up into 5 sections, where 4 sections are a success of passing a test. Spin the spinner four times. D) Using a random digits table select one digit numbers where 0-8 is a passing grade and 9 is a failing grade. Select four digits.
Solution 1
Since Lori passes 80% of her tests you need to make sure that the randomizing device has 80% of the outcomes assigned to passing and 20% of the outcomes assigned to failing. The correct answer is Spin a spinner that is split up into 5 sections, where 4 sections are a success of passing a test. Spin the spinner four times.
Solution 2

Answer: C)

Step-by-step explanation:

Question
In a scale drawing a plane has a length of 35 centimeters. The actual length of the plane is 87.5 feet. What is the scale of the drawing?
Solution 1

Using proportions, it is found that the scale of the drawing is of 1 ft:0.4 cm.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have that 35 cm represent 87.5 ft. How many cm represent a ft?

The rule of three is given by:

35 cm - 87 ft

x cm - 1 ft

Applying cross multiplication:

87x = 35

x = \frac{35}{87}

x = 0.4

Hence, the scale of the drawing is of 1 ft:0.4 cm.

More can be learned about proportions at brainly.com/question/24372153

Solution 2
35 cm : 87.5 ft
1 cm : x
cross multiplying
35 cm X = 1 cm x 87.5 ft
x= 87.5 ft. cm /35 cm
x = 2.5 ft
therefore, the scale is 1 cm : 2.5 ft

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