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vichka [17]
3 years ago
13

Carissa takes a square piece of cardboard and cuts 5 in. by 5 in. squares out of each corner. She folds the sides up to make a b

ox without a top.
What equation can Carissa use to determine the volume of the box, where x is the side length of the original piece of cardboard?

Express the equation in standard form.

V = ________
Mathematics
2 answers:
seropon [69]3 years ago
7 0

Answer:

V = 5x² - 100x + 500

Step-by-step explanation:

kow [346]3 years ago
3 0
The answer is v=5x^2-100x+500. First, since we are finding the volume of a square you already know that the equation for a square is volume= length*width*height. Because 5 inches was cut off from each side, that means that each side is now 10 inches shorter than it originally was. So, then you substitute the values into the formula.  So the length is x-10 and the width is also x-10 and the height is 5in. Then you write the formula like this (x-10)(x-10)5. Second, you substitute the values into the formula. Since there are 2 x's that would make x^2 and add that to 5 that would make 5x^2. Then you multiply -10*10=-100. Finally, you multiply -10*-10-5=500. Then you add them all together to get 5x^2-100x+500
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What digits makes 3,71? Divisible by 3 (connections academy unit test)
wlad13 [49]

Since we know that a number is divisible by 3 if the sum of all digits is divisible by 3.

Let us check which digits will make 371? divisible by 3.

3+7+1+0=11

11 is not divisible by 3.

Now let us check other digits as well.

3+7+1+1=12

12 is divisible by 3.

3+7+1+4=15

15 is also divisible by 3.

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18 is divisible by 3 as well.

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Which algebraic expression represents the phrase “two times the quantity of a number minus 12”?
Yakvenalex [24]

Answer:

The algebraic expression which represents the phrase “two times the quantity of a number minus 12” is : 2x- 12

Step-by-step explanation:

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

for example :-

3x + 4y – 7,  4x – 10, etc.

These expressions are represented with the help of unknown variables, constants and coefficients. The combination of these three (as terms) is said to be an expression. It is to be noted that, unlike the algebraic equation, an algebraic expression has no sides or equal to sign

let the quantity mentioned in the question be 'x'

therefore according to the statement the algebraic expression which represents the phrase “two times the quantity of a number minus 12” is : 2x- 12 is

⇒2x - 12 (answer)

more on algebraic expression at

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