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2 years ago

What is 254 divided by 40

Mathematics

2 answers:

Zigmanuir [339]2 years ago

8 0

The answer is 6.35. Because you put in 254 / 40 and it says 6.35.

tangare [24]2 years ago

5 0

Solutions

254 divided by 40 also know as 254 ÷ 40

254 ÷ 40= <span>6 with a remainder of 35 (6.35)</span>

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Marla bought 12 books at a garage sale. Some of them were hardback and the rest were paperback. She paid $0.50 for each paperbac

olga nikolaevna [1]

Answer: The number of books bought were 9 paperbacks and 3 hardbacks

Step-by-step explanation: We shall start by assigning letters to the unknown variables, hence let the hardback be called h, while the paperback shall be called p.

If Marla bought 12 books at the garage sale, that means she bought

h + p = 12 ------(1)

Then she paid 0.5 dollars for paperback and 0.75 dollars for hardback and the total spent was 6.75 dollars for all of them, then we can express these as follows;

0.5p + 0.75h = 6.75 ------(2)

We now have a pair of simultaneous equations which are

h + p = 12 ------(1)

0.5p + 0.75h = 6.75 ------(2)

From equation (1), make h the subject of the equation,

h = 12- p

Substitute for h into equation (2)

0.5p + 0.75(12 - p) = 6.75

0.5p + 9 - 0.75p = 6.75

0.5p - 0.75p = 6.75 - 9

-0.25p = -2.25

Divide both sides of the equation by -0.25

p = 9

Now, substitute for p into equation (1)

h + p = 12

h + 9 = 12

Subtract 9 from both sides of the equation

h = 3

Therefore Marla bought 9 paperbacks and 3 hardbacks

6 0

3 years ago

Read 2 more answers

24x=3y solve for x and y

olga2289 [7]

$\ 24x=3y \\ \\ \ x=3 \ ; \ y=24$

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3 years ago

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Neporo4naja [7]

Answer:

Step-by-step explanation:

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3 years ago

Which number is located between 15 and 20 on a number line?

jeyben [28]

Answer: 17.5 is located between them.

Step-by-step explanation:

To find out which number is located between the numbers, find their mean average which sum of the numbers divide by the number of values.

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35 / 2 = 17.5

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3 years ago

A rectangular solid with a square base has a volume of 2,744 cubic inches. (Let w represent the length of the sides of the squar

vaieri [72.5K]

Answer:

For minimum surface area, the base length and height are equal in length and <u>equal to 14 inches.</u>

Step-by-step explanation:

Given:

Volume of rectangular solid (V) = 2744 cubic inches

Length of base side = 'w'

Height of solid = 'h'

We know that,

Volume = Area of base × Height

$2744=(w\times w)\times h\\\\2744=w^2h\\\\h=\frac{2744}{w^2}-----(1)$

Now, surface area of the solid is given as:

$Surface\ area=2\times (base\ area)+4(hw)\\\\Surface\ area=2w^2+4hw$

Plug in 'h' value from equation (1). This gives,

$Surface\ area=2w^2+4\times\frac{2744w}{w^2}\\\\Surface\ area=2(w^2+\frac{5488}{w})$

Now, for minimum surface area, the derivative of surface area with respect to length 'w' must be 0.

Differentiating both sides with respect to 'w' and equating it to 0, we get:

$\frac{dS}{dw}=0\\\\\frac{d}{dw}[2(w^2+\frac{5488}{w})]=0\\\\2w-\frac{5488}{w^2}=0\\\\2w=\frac{5488}{w^2}\\\\w^3=\frac{5488}{2}\\\\w=\sqrt[3]{2744}= 14\ in$

Therefore, the base length is 14 inches.

Now, from equation (1), the height is given as:

$h=\frac{2744}{w^2}\\\\h=\frac{2744}{14^2}=14\ in$

Therefore, for minimum surface area, the base length and height are equal in length and equal to 14 inches.

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3 years ago