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White raven [17]
3 years ago
14

there are 90 people in a group. 6 of the people are men. The number of women is 2 times the number of men. the rest are children

. the number of children : the number of men is n:1. work out n
Mathematics
1 answer:
stepladder [879]3 years ago
3 0

Answer:

n= 12

Step-by-step explanation:

6*2= 12

Men= 6

Women= 12

12+6= 18

90-18= 72

72:6= 12:1

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The battery on McKenzie's old computer can last for 4 1/5 hours. She bought a new computer that has a battery that can last 40%
Vesnalui [34]

Answer:

5\frac{22}{25}\ hours

Step-by-step explanation:

we know that

4\frac{1}{5}\ hours=\frac{4*5+1}{5}=\frac{21}{5}\ hours100\%+40\%=140\%=\frac{140}{100}

Let

x ------> new battery life

The equation that represent this situation is

x=(\frac{140}{100})(\frac{21}{5})=\frac{2,940}{500}\ hours

convert to mixed number

\frac{2,940}{500}=\frac{2,500}{500}+\frac{440}{500}=5\frac{22}{25}\ hours

4 0
3 years ago
The dimensions of a rectangle are such that its length is 3 in. more than its width. If the length were doubled and if the width
Kay [80]

Answer:

The length of the rectangle is 11 inch and its width is 8 inch.

Step-by-step explanation:

Given:

Rectangle (R_1) and rectangle (R_2).

Let the width of the rectangle be 'x' inch.

Its length = '(x+3)' inch

Area of the rectangle = (A_1)

⇒A_1 = (x)(x+3)

Now for rectangle (R_2) its width is decreased by 1 inch and length is doubled,the area (A_2) will increased by 66 sq-inch.

So,

A_2=A_1+66

According to the question.

⇒ Area of rectangle (R_2)  with width '(x-1)' and length '2(x+3)'='(2x+6)' .

⇒ A_2=(x-1)(2x+6)

Plugging the values of A_2 in terms of A_1.

⇒ A_1+66= (x-1)(2x+6)

Plugging  A_1 = (x)(x+3) into the equation.

⇒ (x)(x+3)+66=(x-1)(2x+6)

⇒ x^2+3x+66=2x^2+6x-2x-6

⇒ x^2-2x^2+3x-6x+2x+6+66=0

⇒ -x^2-x+72=0

Now using quadratic formula we can find the value of 'x'.

Quadratic formula, (x)= \frac{\pm b+\sqrt{b^2-4ac} }{2a}

x= -9 and x= 8

Discarding the negative value.

Our width  = 'x' = 8 inches.

So the length of the rectangle = 11 inches and width of the rectangle = 8 inches.

7 0
3 years ago
an office supply company sells two types of printers. they charge $95 for one of the printers and $125 for the other. if the com
Ivenika [448]

Answer:

22 of the 95$ ones and 10 of the 125

Step-by-step explanation:

22 times 95 = 2090

10 times 125 = 1250

2090+1250=3340

hope this helped

4 0
3 years ago
Solve the proportion<br>17/3 = y/6
cricket20 [7]
To solve a proportion, you can either use cross products or basic multiplication.

To do cross products, you would multiply 17 (1st numerator) by 6 (2nd denominator). 

Do the same with the other diagonal angle, 3 times y.

You'll end up with 3y = 102.

To solve for y, you divide both sides by 3.

102 ÷ 3 = 34

y = 34

The other way you could solve this is to see that 6 is 2 times as large as 3, so you would multiply 17 by 2 to get an equal proportion.

3 × 2 = 6
17 × 2 = 34

Your final answer is y = 34. Hope this helps! :)
7 0
3 years ago
Jack pays $42.75 for 2.5 pounds of fish. What is the price per pound of the fish?​
dimulka [17.4K]

Answer:

$17.1

Step-by-step explanation:

You would divide 42.75 by 2.5 to find the price per pound of the fish.

7 0
4 years ago
Read 2 more answers
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