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3 years ago

There are 96 grapes in a bag. Four friends are sharing the grapes.

Mathematics

2 answers:

notka56 [123]3 years ago

8 0

Answer:

24 grapes

Step-by-step explanation:

Let the equation be

Xg = 96

Where x is the number of friends sharing the grapes and g is the number of grapes each friend gets .

96 is the number of grapes to be shared amongst friends

Given

There are 4 friends sharing the grapes . That’s x = 4

Therefore

4g = 96

Divide both sides by 4

4g/4 = 96/4

g = 24

Each friend will get 24 grapes

astraxan [27]3 years ago

7 0

Answer:

96/4= g or 4g=96

Step-by-step explanation:

Everyone will get 24 grapes

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The length of a rectangle is four times its width. If the area of the rectangle is 324m^2, find its perimeter.

Anuta_ua [19.1K]

Answer:

$perimeter=90$

Step-by-step explanation:

We know that the length is four times the width, so:

$l=4w$

We also know the area, which is 324 m². The formula for area:

$A=l*w$

Insert the known values:

$324=(4w)*w$

Solve for w. Simplify by removing parentheses:

$324=4w*w\\324=4w^2$

Divide 4 from both sides to isolate the variable:

$\frac{324}{4}=\frac{4w^2}{4} \\\\81=w^2$

Find the square root of both sides:

$\sqrt{81} =\sqrt{w^2} \\\\w=9$

The width is 9 m.

We know the width. Now find the length by using the area formula and inserting known values:

$324=l*9$

Solve for l. Divide both sides by 9:

$\frac{324}{9}=\frac{l*9}{9}\\\\ l=36$

The length of the rectangle is 36. (You can check: 4 times 9 is 36)

Now find the perimeter:

$P=2l+2w$

Insert values:

$P=2(36)+2(9)\\\\P=72+18\\\\P=90$

The perimeter is 90 m.

5 0

3 years ago

A house has increased in value by 37% since it was purchased. If the original value was $720, 000, what is the value after the i

STALIN [3.7K]

Answer:$986,4000

Step-by-step explanation:

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2 years ago

17x-3y=4 2x-4y=1 the solution to the system of equations is

Burka [1]

ANSWER

$x=\frac{13}{62}$

and

$y= \frac{-9}{62}$ e have

EXPLANATION

$17x-3y=4---(1)$

$2x-4y=1$

Let us make y the subject and call it equation (2)

$2x=1+4y$

$x=\frac{1}{2}+2y--(2)$

We put equation (2) in to equation (1)

$17(\frac{1}{2}+2y)-3y=4$

$\frac{17}{2}+34y-3y=4$

$34y-3y=4- \frac{17}{2}$

Simplify to get,

$31y= \frac{8-17}{2}$

$31y= \frac{-9}{2}$

Divide both sides by 31,

$y= \frac{-9}{2} \div 31$

$y= \frac{-9}{2} \times \frac{1}{31}$

$y= \frac{-9}{62}$

We put this value in to equation (2) to get,

$x=\frac{1}{2}+2\times -\frac{9}{62}$

$x=\frac{1}{2} -\frac{18}{62}$

We collect LCM to obtain,

$x=\frac{31-18}{62}$

$x=\frac{13}{62}$

7 0

3 years ago

What dose 2+7x=5x+14 equal

weqwewe [10]

Answer:

$x=6$

Step-by-step explanation:

$2+7x=5x+14$

Subtract 2 from both sides:

$2+7x-2=5x+14-2$

$7x=5x+12$

Subtract 5x from both sides:

$7x-5x=5x+12-5x$

$2x=12$

Divide both sides by 2:

$\frac{2x}{2}=\frac{12}{2}$

$x=6$

3 0

3 years ago

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5×5×5×5×5×5 is equal to

atroni [7]

Answer:

15,625

Step-by-step explanation:

5^6

5 0

3 years ago

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