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timurjin [86]
2 years ago
8

In this situation, which equation is NOT equivalent to the rest? Mrs. Jones deducts $3 from each of her 5 children's allowances

this week because they didn't finish their chores. They then received a total of $125 in allowance.
Mathematics
1 answer:
lawyer [7]2 years ago
3 0

Answer:

c. 5x - 3 = 125

Step-by-step explanation:

Mrs. Jones deducts $3 from each of her 5 children's allowances this week because they didn't finish their chores. They then received a total of $125 in allowance. a. 5(x - 3) = 125

b. 5x - 15 = 125

c. 5x - 3 = 125

d. 5x = 140

Solution:

Let x represent the allowance for each of Mrs. Jones children. Since she deducts $3 from each children because they didn't finish their chores, the allowance for each child becomes x - 3.

There are 5 children, hence the allowance for the 5 children would be:

5(x-3)

Since they received a total of $125 in allowance, hence:

5(x-3) = 125

5x - 15 = 125

5x = 125 + 15

5x = 140

Option c is wrong

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diamong [38]

Answer: 12,972,960

Step-by-step explanation: There are 14 chairs and  8 people to be seated. But among the 8. three will be seated together:

So 5 people and (3) could be considered as 6 entities:

Since the order matters, we have to use permutation:

¹⁴P₆ = (14!)/(14-6)! = 2,162,160, But the family composed of 3 people can permute among them in 3! ways or 6 ways. So the total number of permutation will be ¹⁴P₆  x 3! 

2,162,160 x 6 = 12,972,960 ways.

Another way to solve this problem is as follow:

5 + (3) people are considered (for the time being) as 6 entities:

The 1st has a choice among 14 ways

The 2nd has a choice among 13 ways

The 3rd has a choice among 12 ways

The 4th has a choice among 11 ways

The 5th has a choice among 10 ways

The 6th has a choice among 9ways

So far there are 14x13x12x11x10x9 = 2,162,160 ways

But the 3 (that formed one group) could seat among themselves in 3!

or 6 ways:

Total number of permutation = 2,162,160 x 6 = 12,972,960

5 0
3 years ago
12/15=x/10 solve for x
Alexandra [31]

Answer: x=8

Step-by-step explanation:

This is a simple cross multiplication problem:

12/15=x/10

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=> x=8

There is your answer.

Have a nice day! :)

7 0
3 years ago
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castortr0y [4]
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nevsk [136]

Answer:11

Step-by-step explanation:

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Sum of ratio=7+1=8

Let them number of girls be y

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4 0
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