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3 years ago

Which number produces a rational number when multiplied by 0.5?

1 answer:

4 0

If the number begins by being rational, multiplying by 0.5 will not change whether or not it is rational. It will remain rational.

That would include any even number 12 * 0.5 = 6

12 started out as rational, so the answer is rational (6)

Any odd number is also rational

23 * 0.5 = 11.5

23 and 11.5 are both rational.

3.636363636 ... is rational so when multiplied by 0.5 the result will be rational.

1.818181818....

So if we start with something irrational like pi

then pi * 0.5 is not rational.

If you have choices, please list them.

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What is the greatest common factor of the terms in the polynomial 4x^4-32x^3-60x^2?

jonny [76]

Answer:

$\mathrm{Factor}\:4x^4-32x^3-60x^2:\quad 4x^2\left(x^2-8x-15\right)\\$

$\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^3=xx^2\\x^4=x^2x^2\\=4x^2x^2-32xx^2-60x^2\\\mathrm{Rewrite\:}60\mathrm{\:as\:}4\cdot \:15\\\mathrm{Rewrite\:}32\mathrm{\:as\:}4\cdot \:8\\=4x^2x^2-4\cdot \:8xx^2-4\cdot \:15x^2\\\mathrm{Factor\:out\:common\:term\:}4x^2\\=4x^2\left(x^2-8x-15\right)$

Hope this helps and have a great day!!!

$Sofia$

4 0

3 years ago

They make a base of 50 gallons (20%). They make a “heavy batch of 150 gallons (80%) They mix them both. What is the percent of

SSSSS [86.1K]

Answer #1: x= 250

50 = x times 20/100

X= 100 times 50/ 20

X=250

Answer #2: same explanation but the answer is X= 120

If your talking about merging the percentage of the answer, I can’t help you with that

4 0

3 years ago

Read 2 more answers

Can somebody tell me the answer to these question please

strojnjashka [21]

Answer:

Step-by-step explanation:

2) Take the number you see (7). How many 7s are there? There are three.

7 x 3

3) What number do you see? 3. How many 3s? Five 3s.

3 x 5

Now you try

4 0

2 years ago

Read 2 more answers

PLZ HElPPPPPP MEEEEEEEEE !

Effectus [21]

The picture looks blurry

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3 years ago

The length of a rectangle is six times its width. If the area of the rectangle is 384^2, find its perimeter.

Leno4ka [110]

Answer:

Perimeter, P = 112 meters

Step-by-step explanation:

Let the length of the rectangle be L.
Let the width of the rectangle be W.

Translating the word problem into an algebraic expression, we have;

L = 6W ...... equation 1

Given the following data;

Area of rectangle = 384 m²

To find the perimeter of the rectangle;

First of all, we would determine the dimensions of the rectangle using its area.

Mathematically, the area of a rectangle is given by the formula;

Area of rectangle = LW ..... equation 2

Substituting eqn 1 into eqn 2, we have;

384 = 6W(W)

384 = 6W²

Dividing both sides by 6, we have;

W² = 384/6

W² = 64

Taking the square root of both sides, we have;

W = √64

Width, W = 8 meters

Next, we would find the length;

L = 6W

L = 6 * 8

Length, L = 48 meters

Lastly, we would determine the perimeter of the rectangle using the above dimensions;

Mathematically, the perimeter of a rectangle is given by the formula;

Perimeter = 2(L + W)

Substituting the values into the formula, we have;

Perimeter, P = 2(48 + 8)

Perimeter, P = 2(56)

Perimeter, P = 112 meters

4 0

3 years ago