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mixer [17]
4 years ago
7

Which of the following results in a sum or a product that is rational? Choose all that apply. (3 points)

Mathematics
1 answer:
Kazeer [188]4 years ago
3 0

Remark

It is easier in this case to state the irrational ones and then talk about the rationals.

sqrt(2) * sqrt(3) is irrational. The square root of 6 fills your calculator's window with many numbers and there is no pattern to them. Sqrt(6) cannot be expressed as a fraction or a repeating decimal which is also a fraction.

The last one is also irrational for the same reason. 3*pi cannot be expressed as either a repeating decimal or a fraction.

All the others are rational. The one you might have trouble with is the first one.

0.12 repeating is actually found by letting x = 0.12121212121212121212...Then

100 x =  12.121212121212121212 ...

<u>       x =    0.121212121212121212..</u>.     Subtract

99 x = 12

x = 12/99

So the mixed fraction you get is 3 12/99 which is 309/99

When you multiply that by 1.4 it does not change the fact that you still get a fraction. It turns out to be 721 / 165.  The method is similar to the one used to get 12 / 99. I don't think you need to know the exact answer. You need only need to know that the first one is rational.

Choice 2 is rational because 9 and 25 are  perfect squares. sqrt(9) = 3

Sqrt(25) = 5.

3*5 = 15.

Answer

One Two are four are all rational.

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explain why a student who runs 3/4 mile in 6 minutes is faster than a student who runs 1/2 mile in 5 minutes.​
luda_lava [24]

Answer:

A student who runs 3/4 mile in 6 minutes is faster than a student who runs 1/2 mile in 5 minutes because when you simplify both fractions to per minute, the student who ran 3/4 mile in 6 minutes (1/8 mile per min) ran faster than the student who ran 1/2 mile in 5 minutes (1/10mile in 1 min).

Step-by-step explanation:

\frac{3/4mile}{6min} divided by 6 to get per min =

1/8 mile per min

6 0
3 years ago
John and 3 friends are going out for pizza for lunch. They split one pizza and 4 large drinks. The pizza cost $13.50. The
Nuetrik [128]

Answer:

7 dollars

Step-by-step explanation:

do 20.50 minus 13.50 but you can just take out the .50 because both sides have them and they will cancel out anyways then its just 20 minus 13 and that is 7.

6 0
4 years ago
Graph y equals 1/2 x - 3​
Elis [28]

Answer:

Resulting plot in the image attached

Step-by-step explanation:

Start by making a table of (x,y) pairs that satisfy this equation. Notice that two pairs would be enough, but it is always safer to obtain at least three to see them actually "aligned".

We are trying to find values for y when x= 0, 2, and 4 to make our calculations simple:

y=\frac{1}{2} x-3

When x = 0 then: y=\frac{1}{2} (0)-3=-3 So we plot the value (0,-3) on the x-y plane.

When x = 2 then: y=\frac{1}{2} (2)-3=1-3=-2 So we plot the value (2,-2) on the x-y plane.

When x = 0 then: y=\frac{1}{2} (4)-3=2-3=-1 So we plot the value (4,-1) on the x-y plane.

Please see the points and the resulting line in the image attached

5 0
3 years ago
What is the result a transformation called?
rodikova [14]

Answer:

The result of a transformation is called the new image.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
The table represents a function.
Karolina [17]

Answer: A) Greater than

The equation y = 2x+5 has a greater rate of change compared to the table.

=========================================

Pick any two points from the table. I'm going to pick the first two rows so I picked (-1,0) and (2,3) as the two points. From here, the idea is to use the slope formula

m = (y2 - y1)/(x2 - x1)

m = (3-0)/(2 - (-1))

m = (3 - 0)/(2 + 1)

m = 3/3

m = 1

The slope of the line going through all of the points shown in the table is m = 1. So the rate of change for the table is also 1.

-------------

The slope of y = 2x+5 is m = 2. The equation y = 2x+5 is in the form y = mx+b. So the rate of change for y = 2x+5 is 2.

Comparing the table's rate of change to the equation's rate of change, we see that the equation's rate of change is larger.

8 0
3 years ago
Read 2 more answers
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