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3 years ago

Choose the expression that is equivalent to the expression

Mathematics

1 answer:

nadezda [96]3 years ago

4 0

Answer:

A. n

Step-by-step explanation:

n/4 + n/4 + n/4 + n/4 = 4n/4 = n

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The digits 1, 2, 3, and 4 are used to make a 3-digit number. Each digit can be repeated. What is the total number of 3-digit num

KiRa [710]

I think the answer is 10

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2 years ago

The length of a rectangle is x times the square root of 100. The width is one-half y more than three-halves x. Given that the ar

dimulka [17.4K]

Answer:

$15x^2+5xy-125=0$

Step-by-step explanation:

We are give the following in the question:

Dimensions of rectangle:

Length , l =

$l = x\sqrt{100} = 10x$

Width of rectangle, w =

$w = \dfrac{y}{2} +\dfrac{3x}{2}$

Area of rectangle = 125 square cm.

Area of rectangle =

$A =l\times w$

Putting values, we get,

$125 = 10x\times (\dfrac{y}{2}+\dfrac{3x}{2})\\\\125 = 5xy+15x^2\\15x^2+5xy-125=0$

is the required equation.

7 0

2 years ago

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HELP ME I KEEP ON ASKING THIS MY MOM WILL KILL ME!!!

ra1l [238]

Answer: 70

Step-by-step explanation:

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3 years ago

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Exercise 2.4.2: Proving statements about rational numbers with direct proofs. About Prove each of the following statements using

IgorLugansk [536]

Answer:

See Explanation

Step-by-step explanation:

(a) Proof: Product of two rational numbers

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

$A = \frac{1}{2}$

$B = \frac{2}{3}$

The product:

$A * B = \frac{1}{2} * \frac{2}{3}$

$A * B = \frac{1}{1} * \frac{1}{3}$

$A * B = 1 * \frac{1}{3}$

$A * B = \frac{1}{3}$

Proved, because 1/3 is rational

(b) Proof: Quotient of a rational number and a non-zero rational number

Using direct proofs.

Let the two rational numbers be A and B.

Such that:

$A = \frac{1}{2}$

$B = \frac{2}{3}$

The quotient:

$A / B = \frac{1}{2} / \frac{2}{3}$

Express as product

$A / B = \frac{1}{2} / \frac{3}{2}$

$A / B = \frac{1*3}{2*2}$

$A / B = \frac{3}{4}$

Proved, because 3/4 is rational

(c) x + y is rational (missing from the question)

Using direct proofs.

Let x and y be

Such that:

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

$y = \frac{2}{3}$

The sum:

$x + y = \frac{1}{2} + \frac{2}{3}$

Take LCM

$x + y = \frac{3+4}{6}$

$x + y = \frac{7}{6}$

Proved, because 7/6 is rational

<em>The above proof works for all values of A, B, x and y; as long as they are rational values</em>

8 0

3 years ago

Which pair of numbers have a greatest common factor of 7?

ella [17]

<span>The GCF is the number that is a factor of both (or all) of the numbers of a given set and which is the biggest factor of this kind (often the smaller number of the two)

7 and 14 have a greatest common factor of 7.

28 and 7 also have a GCF of 7, so the first two responses fit.

21 and 3 have a GCF of 3, so that isn't correct.

7 and 1 have a GCF of 1, so that's incorrect as well.</span>

3 0

3 years ago

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