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2 years ago

Which of the following statements is false?

1 answer:

nataly862011 [7]2 years ago

7 0

Alright. So We Need To Take A Look At The Answer Choices. The Sum Of Two Rational Numbers Is Always Rational. This Is True. You Cant Add Bad With Bad And Get Good. So You Will Always Get Rational Numbers, So It Is Not A.

Lets Look At B. The product of a nonzero rational number and an irrational number is always irrational. This is True. Pi Times Any Number Is Irrational. If You Have A Repeating Decimal,You Can't Change It To A Whole Number.

Lets Look At C. The product of two rational numbers is always rational. This Is True. Any Rational Numbers Multiplied Will Always Be Rational. 3.5 * 4 = 14. this Is Still Rational, So Not C.

Lets Look At D. The sum of two irrational numbers is always rational.This Is Not True. If You Do: Pi + Pi, This Will Not Be Rational. So, It Is D.

So, Having Looked At All The Choices, The Answer Is D.

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The length of a rectangle is 6 in. more than the width. The perimeter of the rectangle is 24 in. Find the dimensions of the rect

klasskru [66]

1. First, let us define the width of the rectangle as w and the length as l.

2. Now, given that the length of the rectangle is 6 in. more than the width, we can write this out as:

l = w + 6

3. The formula for the perimeter of a rectangle is P = 2w + 2l. We know that the perimeter of the rectangle in the problem is 24 in. so we can rewrite this as:

24 = 2w + 2l

4. Given that we know that l = w + 6, we can substitute this into the formula for the perimeter above so that we will have only one variable to solve for. Thus:

24 = 2w + 2l

if l = w + 6, then: 24 = 2w + 2(w + 6)

24 = 2w + 2w + 12 (Expand 2(w + 6) )

24 = 4w + 12

12 = 4w (Subtract 12 from each side)

w = 12/4 (Divide each side by 4)

w = 3 in.

5. Now that we know that the width is 3 in., we can substitute this into our formula for length that we found in 2. :

l = w + 6

l = 3 + 6

l = 9 in.

6. Therefor the rectangle has a width of 3 in. and a length of 9 in.

8 0

2 years ago

What is the radius of a circle whose equation is x2 + y2 + 8x - 6y + 21 = 0? units

pickupchik [31]

Answer:r=2

Step-by-step explanation:

6 0

2 years ago

What is the equation of this line? y=−3/2x y=2/3x y=3/2x y=−2/3x Graph of a line passing through the origin and the point begin

iogann1982 [59]

Correct answer: y=(2/3)x

The line passes through the origin (0,0) and the pair (3,2)

the equation y=(2/3)x satisfies both points:

for (0,0): 0=(2/3)*0 = 0

for (3,2): 2 = (2/3)*3 = 2

and therefore is the correct linear function of the line described.

4 0

2 years ago

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What is the sum and classification of <img src="https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D%20%2B%20%5Csqrt%7B88%7D" id="TexFo

aleksandrvk [35]

Answer:

The answer is def. A.

8 0

2 years ago

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The Northwest High School senior class decided to host a raffle to raise money for their senior trip. They charged $2 for each s

prisoha [69]

Let $x$ be the tickets that the adults bought, and $y$ be the tickets that children bought.
From the problem we have the system of linear equations:
$\left \{ {{2x+5y=2686} \atop {y=3x}} \right.$

The first thing we are going to do to solve our system, is replacing equation (2) in equation (1), and then, solve for $x$
$2x+5y=2686$
$2x+5(3x)=2686$
$2x+15x=2686$
$17x=2686$
$x= \frac{2686}{17}$
$x=158$

Now that we have the number of tickets that the adults bought, lets replace that value in equation (2):
$y=3x$
$y=3(158)$
$y=474$

Last but not least, to find the total number of tickets, we are going to add $x$ and $y$ :
$158+474=632$

We can conclude that Northwest High School's senior class sold 632 raffle tickets.

7 0

2 years ago

Read 2 more answers