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2 years ago

If the value of 3/4 divided by x Is the whole number which number is the value of x?

Mathematics

1 answer:

gregori [183]2 years ago

5 0

A whole number is a number that has no fractional representation.

Let's test all the options for the value of x.

When dividing a fraction by another fraction, the divisor will be in its reciprocal form.

1. 3/4 × 2/3

= 6/12 = 1/2

1/2 isn't a whole number.

2. 3/4 × 2/1

= 6/4 = 3/2

3/2 isn't a whole number.

3. 3/4 × 6/1

= 18/4 = 9/2

9/2 isn't a whole number.

4. 3/4 × 8/1

= 24/4 = 6

6 is a whole number.

Hence the answer is 1/8.

Hope it helps. :)

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What are the coordinates of D' after its preimage, D(4, -8), is reflected over the line y = x?

olya-2409 [2.1K]

Answer: D' is (-8,4)

Step-by-step explanation: The rule for reflection y=x is (x,y)>( y,x) So when relecting over the axis y=x the x cordinate and the y cordinate switch places.

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2 years ago

The area of a right triangle is given by the expression:

lorasvet [3.4K]

The expression that models the length of the second leg of the triangle is 2x - 3.

Recall:

The area of a triangle = $\frac{1}{2} bh$

Given:

Area of triangle = $\frac{1}{2} (6x^2 - 7x - 3)$

Length of one of the legs = 3x + 1

Therefore, it means that multiplying both legs should give us:

$6x^2 - 7x - 3$

To find the expression that models the other leg, divide $6x^2 - 7x - 3$ by 3x + 1:

Thus:

$\frac{6x^2 - 7x - 3}{3x - 1}$

Factorize the numerator

$\frac{6x^2 - 2x - 9x - 3}{3x - 1}\\\\\frac{2x(3x - 1) - 3(3x - 1)}{3x - 1}\\\\\frac{(2x- 3)(3x - 1)}{3x - 1}$

Simplify

$\frac{(2x- 3)(3x - 1)}{3x - 1} = 2x- 3$

Therefore, the expression that models the length of the second leg of the triangle is 2x - 3.

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1 year ago

What is 75 equal to? A.) 7x 5 B. 5x5x5x5x5x5x5 C.7x7x7x7x7 D. 5 ‘7

wariber [46]

Answer:

Step-by-step explanation:

you are multiplying 7 by its self 5 times

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3 years ago

Read 2 more answers

In the diagram below of triangle MNO, P is the midpoint of MO and Q is the midpoint of NO. If PQ = 5x + 62, and MN = 6x-4, what

riadik2000 [5.3K]

Answer:

Step-by-step explanation:

There is a triangle embedded in triangle MNO, which is triangle PQO, and these are similar triangles in that their corresponding sides are always in the same ratio, which in this case is 2:1, as MP = MO due to the midpoint definition, and therefore MO is twice as long as MP. Same for NO and QO.

Now that we know the ratio, we can set 6x-4 = 2(-5x+64)

6x-4 = -10x +108

16x = 112

x = 7

Plug x back in for PQ, -5(7)+64 = 29

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2 years ago

Anni [7]

The midpoint is a point the divided a line into two equal parts
So +1 is the midpoint

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2 years ago