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3 years ago

make the indicated conversion assume a 360-day year as needed,8months to simplified fraction of a year

Mathematics

1 answer:

balandron [24]3 years ago

6 0

<span>8 months to simplified fraction of a year:

There are 12 months in a year.

8 month = 8/12 = 2/3</span>

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If numerator is 2 less than the denominator of a rational number and when 1 is subtracted from numerator and denominator both, t

xenn [34]

Answer:

$\frac{3}{5}$

Step-by-step explanation:

Let the denominator be x
So, numerator = x - 2
According to the given condition: when 1 is subtracted from numerator and denominator both, the resulting new rational number in its simplest form is $\frac{1}{2}$

$\implies \frac{x-2-1}{x-1}=\frac{1}{2}$

$\implies \frac{x-3}{x-1}=\frac{1}{2}$

$\implies 2(x-3)=x -1$

$\implies 2x-6=x -1$

$\implies 2x-x=6-1$

$\implies x=5$

$\implies x-2=-5-2= 3$

$Required \: rational\: number = \frac{3}{5}$

6 0

2 years ago

4. The West Corporation has a weekly fixed cost of $5000. It costs $40 to produce each

Fantom [35]

Answer: 250 cameras; $10,000 spent; 15,000 made

Step-by-step explanation:

1) FInd the profit. 60-40=20. This means that they make a profit of $20 per camera.

2) How many cameras to break even? 5000/20=250. The answer is 250 cameras!

3) How much money has been spent? 40x250= $10000 spent.

4) How much money has been made? 60x250= $15000 made.

<em>Hope this helps!</em>

6 0

2 years ago

What is the perimeter of a square whose diagonal is 3 square root 2? Show all work on how you got your answer

Alika [10]

Answer:

Step-by-step explanation:

Given: Diagonal of square= $3\sqrt{2}$

To find the perimeter of square, we need to find the length of sides of square.

∴ Using the formula of diagonal to find side of square.

Formula; $Diagonal= s\sqrt{2}$

Where, s is side of square.

⇒ $3\sqrt{2} = s\sqrt{2}$

Dividing both side by √2

⇒ $s= \frac{3\sqrt{2} }{\sqrt{2} }$

∴ $s= 3$

Hence, Length of side of square is 3.

Now, finding the perimeter of square.

Formula; $Perimeter= 4s$

⇒ $Perimeter= 4\times 3$

∴ $Perimeter= 12$

Hence, Perimeter of square is 12.

6 0

3 years ago

MIDDLE SCHOOL MATH BRAINLEIST AND 5 STARS AS SOON AS YOU ANSWER!!!!!!!! PLEASE HELP AND THANKS SO MUCH IM SUPER GRATEFUL!!!!!!!!

antoniya [11.8K]

Answer:

1.76

Step-by-step explanation:

The formula is l x w x h

2 x 2.2 x 0.2 = 0.88

The prisms are the same so

0.88 + 0.88 = 1.76

7 0

3 years ago

A rectangle and a square have the same area. The length of the rectangle is seventy feet more than two times its width. The leng

Zanzabum

Using the side of the square find the area:

Area = 30^2 = 900 square feet.

The rectangles area is the same, 900 square feet.

Let the width = X

The length would be 2X + 70

Area = length x width

X * 2x+ 70 = 900

This expands to 2x^2 * 70x = 900

Use the quadratic formula to solve for x:

-70 +/- sqrt(70^2-4*2(-900))/2*2

X = 10

Width = x = 10 feet

Length = 2x + 70 = 90 feet

8 0

2 years ago