Bob and mark talk about their families. Bob says he has 3 kids, the product of their ages is 72. He gives another clue: the sum of the ages of his children. Mark points out there is still not enough information to accurately guess. Finally, Bob says" my youngest child called justice". Mark can then correctly determine the ages of bob's children. What are the ages?

Answers

Answer 1
Answer: I can only give possible combinations of the ages. This is because only the product is given. Had the sum of all ages been given, possible combinations would boil down into 1 combination.

3 kids with a youngest. This means that the ages are not the same.
We do prime factorization to get the age combination.

72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 =   9
  9 ÷ 3 =   3
  3 ÷ 3 =   1

1 x 2 x 2 x 2 x 3 x 3 = 72

Possible combination with no repeating number.

1 x 8 x 9 = 72
2 x 4 x 9 = 72
4 x 6 x 3 = 72
1 x 6 x 12 = 72

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1. If angle A and angle B are vertical angles and mA = 7x-5 and mB = 4x + 10, what is the value of x

   add and simplify  9/16=1/2=?


Answers

(9)/(16)+(1)/(2)=(9)/(16)+(8)/(16)=(17)/(16)=1(1)/(16)

I hope I helped :D
9/16+ 1/2= 9/16 + 8/16= 17/16 simplified as 1 1/16 

What is addition property of equality

Answers

In an equation, the additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal

Answer:

Additive property of equality states that if we add or subtract the same number to both sides of an equation, the sides remain equal.

If x is a negative number, which of the following could equal the absolute value of x? Select all that apply.A. -2
B. 2
C. 4
D. 6

Answers

The absolute value of a number is its distance from zero. There can not be a negative distance from zero. Therefore, all absolute values are positive, no matter if the value inside them is positive or negative. So, B, C, and D can each be the absolute value of some number x, because they are all positive.

Hope this helps! :)
the answer to your question is B, C, and D.

In a family with 2 children, excluding multiple births, what is the probability of having a boy and a girl in any order?75%
25%
50%
60%

Answers

50% because it can either girl or boy first. I hope i helped
50% because 100% divided by 2 children would be 50% per child.

How do you solve this using additional method elimination
3x + y = 17
4x - y = 18

Answers

// Solve equation [1] for the variable  y 
 

[1] y = -3x + 17

// Plug this in for variable  y  in equation [2]

  [2] 4x - (-3x+17) = 18  [2] 7x = 35

// Solve equation [2] for the variable  x 

  [2] 7x = 35   [2] x = 5 

// By now we know this much :

  x = 5  y = -3x+17

// Use the  x  value to solve for  y 

  y = -3(5)+17 = 2 Solution : {x,y} = {5,2}  
Is the answer

A salad dressing calls for 3 parts oil and 1 part vinegar. Manuela uses 2 tablespoons of vinegar and 6 tablespoons of oil to make her salad dressing. Is this a proportional relationship

Answers

Answer:To determine if the relationship between the amount of vinegar and oil in the salad dressing is proportional, you can compare the ratio of vinegar to oil used by Manuela to the ratio called for in the recipe.

The recipe calls for 3 parts oil to 1 part vinegar. This means for every 3 tablespoons of oil, you should use 1 tablespoon of vinegar.

Manuela used 6 tablespoons of oil and 2 tablespoons of vinegar.

Now, let's compare the ratios:

Manuela's ratio of oil to vinegar: 6 tablespoons of oil to 2 tablespoons of vinegar, which can be simplified to 3:1.

The recipe's ratio of oil to vinegar: 3 parts oil to 1 part vinegar, which is also 3:1.

Since both ratios are 3:1, Manuela's use of oil and vinegar is in proportion to the recipe's instructions. Therefore, it is a proportional relationship.