Need help with these questions. Simplify them. Simplify.

|–10 – 3| =

Which set of numbers is ordered from least to greatest?

A.
{0.4, 2.3, –1.1, –2, –3.1}

B.
{2.3, 0.4, –1.1, –2, –3.1}

C.
{–3.1, –2, –1.1, 2.3, 0.4}

D.
{–3.1, –2, –1.1, 0.4, 2.3}

What is the middle number when the numbers {5.1, –3.6, 0, –2, –1.1} are ordered from least to greatest?

Answers

Answer 1

Answer: |-10 - 3|

Subtract.

|-13|

Simplify:

13

The 'bigger' the negative numbers look, the smaller they are.

Therefore, Option D is correct.

5.1, -3.6, 0, -2, -1.1

Arrange from least to greatest:

-3.6, -2, -1.1, 0, 5.1

So the middle number is -1.1.

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What set of reflections and rotations would carry rectangle ABCD onto itself? Rectangle formed by ordered pairs A at negative 4, 1, B at negative 4, 2, C at negative 1, 2, D at negative 1, 1. (4 points) Reflect over the y-axis, reflect over the x-axis, rotate 180°
Rotate 180°, reflect over the x-axis, reflect over the line y=x
Reflect over the x-axis, rotate 180°, reflect over the x-axis
Rotate 180°, reflect over the y-axis, reflect over the line y=x

Answers

Answer: The correct option is

(A) Reflect over the y-axis, reflect over the x-axis, rotate 180°.

Step-by-step explanation: Given that the co-ordinates of the vertices of rectangle ABCD are A(-4, 1), B(-4, 2), C(-1, 2) and D(-1, 1).

We are to select the set of reflections and rotations that would carry rectangle ABCD onto itself.

We see that if a point (x, y) is first reflected across Y-axis, its co-ordinates becomes

(x, y) ⇒ (-x, y).

Now, if the new point is reflected across X-axis, then its co-ordinates becomes

(-x, y) ⇒ (-x, -y)

and finally if we rotate the point by 180 degrees, its co-ordinates becomes

(-x, -y) ⇒ (x, y).

That is, after these three transformations, each of the vertex of rectangle ABCD, that is, A(-4, 1), B(-4, 2), C(-1, 2) and D(-1, 1) come back to its original position.

Thus, the required set of reflections and rotations would carry rectangle ABCD onto itself is

Reflect over the y-axis, reflect over the x-axis, rotate 180°

Option (A) is CORRECT.

Answer:

Step-by-step explanation:

Reflect in the y-axis.

this takes it to the first quadrant.

Reflect in the x-axis.

To the fourth quadrant

Rotate through through 180 degrees.

Back to its original location.

Rate for 40 meters in 10 seconds?

Answers

The rate for 40 meters in 10 seconds is

40m/10sec (40 meters per 10 seconds)

You can turn it into a different unit of measurement by multiplication or division.

For example, if you want the rate in 1 second, you divide both units by 10 (because there are 10 seconds, and 10 ÷ 10 = 1).

40m/10sec then becomes

4m/1sec (4 meters per 1 second)

40 ÷ 10 = 4, and 10 ÷ 10 = 1

Or if you'd like it in minutes, you multiply both units by 6 (because there are 60 seconds in 1 minute, and 6 x 10 = 60).

40m/10sec becomes

240m/60sec = 240m/1min

40 x 6 = 240, 10 x 6 = 60 = 1 minute

It takes 45 minutes to bake 2 dozen cupcakes. At this rate, how many hours would it take to bake 8 dozen cupcakes? I need to show all work involved at arriving at the answer.

Answers

First you need to find how many minutes it takes to bake 1 dozen cupcakes.
45/2=22.5 minutes
Now you can start finding how many hours it would take to bake 8 dozen.
22.5 * 8 = 180.
180/60=3
Your answer is 3 hours!

well lets make these into fractions:)

2 8
--- -> ----
45 x

see this is simple now we just have to find x
what do we multiply too 2 to get 8?
4 right?
so keeping that in mind we do the same thing to the denominator(the 45)

sooooo 45 x 4 = 180
now this is in minuets and since there are 60 minutes in one hour lets
divide 180/60 = 3
see how simple this one was?
so it would take you three hours to make 8 dozen cupcakes

The average number of moves a person makes in his or her lifetime is 12. If the standard deviation is 3.2, find the probability that the mean of a sample of 36 people is less than 10.