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STatiana [176]
3 years ago
6

The arithmetic mean of ten boys is 8 years, 6 months one of them is 13 years old. Then the arithmetic mean of remaining 9 boys i

s
a)9.5 b) 9 c) 8 d) 7
Mathematics
1 answer:
FrozenT [24]3 years ago
3 0
<span>The arithmetic mean of ten boys is 8 years, 6 months = 8.5 years
total age = 10* 8.5 = 85 years

one of them is 13 years
total age of rest = 85 - 13 = 72 years
mean of rest = 72/9 = 8 years

Answer is C) 8 years
</span>
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Clarice Sloan is a shift supervisor for Ace
Igoryamba

The net pay is the amount left after taxes and deductions have been removed from the gross pay.

Her monthly gross pay is: $4111.93

The deductions are:

\mathbf{FIT = \$102}

\mathbf{SIT = 3.2\%}

\mathbf{CIT = 1.8\%}

Let her gross pay be x.

So, we have:

\mathbf{Net = x - FIT - x \times SIT - x \times CIT}

So, we have:

\mathbf{3804.33 = x - 102 - x \times 3.2\%- x \times 1.8\%}

Express percentage as decimals

\mathbf{3804.33 = x - 102 - x \times 0.032- x \times 0.018}

\mathbf{3804.33 = x - 102 - 0.032x -  0.018x}

Add 102 to both sides

\mathbf{3906.33 = x - 0.032x -  0.018x}

\mathbf{3906.33 = 0.95x}

Divide both sides by 0.95

\mathbf{4111.93 = x}

Rewrite as:

\mathbf{x = 4111.93 }

Hence, her monthly gross pay is: $4111.93

Read more about gross and net pay at:

brainly.com/question/8952173

4 0
3 years ago
Can anyone help me on this problem? Please it doesn’t make sense to me...
Sav [38]

Answer:

6

Step-by-step explanation:

Cost per item is found by dividing the cost by the number of items. If the woman bought n items for $120, the cost of each item is $120/n. If the woman bought 24 more items, n+24, at the same price, then the cost per item is $120/(n+24). The problem statement tells us this last cost is $16 less than the first cost:

120/(n+24) = (120/n) -16

Multiplying by n(n+24) gives ...

120n = 120(n+24) -16(n)(n+24)

0 = 120·24 -16n^2 -16·24n . . . . . . subtract 120n and collect terms

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The solutions to this are the values of n that make the factors zero: n = -30, n = 6. The negative value of n has no meaning in this context, so n=6 is the solution to the equation.

The woman bought 6 items.

_____

Check

When the woman bought 6 items for $120, she paid $120/6 = $20 for each of them. If she bought 6+24 = 30 items for the same money, she would pay $120/30 = $4 for each item. That amount, $4, is $16 less than the $20 she paid for each item.

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2. x =(10+√140)/4=(5+√<span> 35 </span>)/2= 5.458</span></span>
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