For four weeks in June Cameron baked 3 1/4 miles each week and swim 2 1/2 miles each week for three weeks in July he baked 4 3/4 miles each week and swim 3 1/2 miles each week how much greater was the total distance Cameron bike and swim in July compared to the total distance he bike in swim in June

Answers

Answer 1

Answer: For June:
Bike:
(4) * (3 1/4) = 13 miles
Swim:
(4) * (2 1/2) = 10 miles
Total:
13 + 10 = 23 miles
For July:
Bike:
(3) * (4 3/4) = 14.25 miles
Swim:
(3) * (3 1/2) = 10.5 miles
Total:
14.25 + 10.5 = 24.75 miles
The difference between both months is:
24.75 - 23 = 1.75 miles
Answer:
the total distance Cameron bike and swim in July compared to the total distance he bike in swim in June was 1.75 miles greater

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On her way to work, a commuter encounters four traffic signals. Assume that the distance between each of the four is sufficiently great that her probability of getting a green light at any intersection is independent of what happened at any previous intersection. The first two lights are green for forty seconds of each minute; the last two, for thirty seconds of each minute.What is the probability that the commuter has to stop at least three times?

The table on the left is that of a linear function, and the one on the right is that of an exponential function. Can you tell which function has the higher rate of growth? How?

Answers

The correct answer is D.

As you can see, the exponential function grows by doubling the previous output with each increment of the input: start with 1, you double it to get 2, then you double it to get 4, 8 and so on.

On the other hand, the linear function adds 7 with each step. This means that the exponential function will eventually reach and pass the linear one, and will definitely be grater from that point on. In fact, if we continue the table, we get

$\begin{array}{c|c|c}\text{x value}&\text{linear}&\text{exponential}\n4&28&8\n5&35&16\n6&42&32\n7&49&64\n8&56&128\n9&63&256\end{array}$

and you can see how the exponential growth is much faster than the linear one.

What is a description of an undefined term?

Answers

Answer:

In Geometry, we have several undefined terms: point, line and plane. From these three undefined terms, all other terms in Geometry can be defined. In Geometry, we define a point as a location and no size. ... And the third undefined term is the line.

Step-by-step explanation:

What are the coordinates of the vertices of the image after a 90-degree counter-clockwise rotation about the origin?
(2,3)
(-3,-1)
(2, -1)

Answers

The coordinates of the vertices of the image after the 90-degree counter- clockwise rotation about the origin is :

( - 3, 2 )
( 1, -3 )
( 1, 2 )

How to rotate 90-degree counter- clockwise rotation about the origin?

To perform a 90-degree counterclockwise rotation about the origin, follow these steps:

Write down the coordinates of the point you want to rotate. Let's call the point ( x , y).
To perform a counterclockwise rotation, switch the x and y-coordinates and negate the new x-coordinate. The new coordinates will be ( - y , x).

This means that the vertices will become :

( 2 , 3) ⇒ ( - 3, 2 )

( - 3, -1) ⇒ ( 1, -3 )

( 2, - 1) ⇒ ( 1, 2 )

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Which values from the specified set make up the solution set of the inequality?4n<16 ; {1,2,3,4}

Select ALL OF THE correct answers.

A. 1

B. 2

C. 3

D. 4

Answers

You may solve this problem in two ways:

If you solve the inequality explicitly (divide both sides by 4), you get

$(4n)/(4) < (16)/(4) \iff n < 4$

So, if $n$ has to be stricktly less than 4, you can only choose 1, 2 and 3 as answers.

Alternatively, you can plug in all of the values you're proposed and check if the inequality holds:

If $n=1$ , you have $4<16$ , which is true.

If $n=2$ , you have $8<16$ , which is true.

If $n=3$ , you have $12<16$ , which is true.

If $n=4$ , you have $16<16$ , which is false.

So, again, only 1, 2 and 3 are solutions.

A photocopier can print 12 copies in 18 seconds. At this rate, how many copies can it print in 42 seconds?

Answers

28 copies !!!!!!! In 42 second

Answer:

It should be 28 copies

Step-by-step explanation:

If you divide 42 by 18 it gives you 2.33333333

If you multiply 12 by 2.33333333 it gives you 28

Steve began a baseball card collection by purchasing some cards. He increased the number of cards in the collection by a constant amount each week after that. The table below shows the total number of cards in the collection at the end of several weeks. How many cards did Steve initially purchase to begin his collection

Answers

There are 95 cards did Steve initially purchase to begin his collection.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

Steve began a baseball card collection by purchasing some cards.

And, He increased the number of cards in the collection by a constant amount each week after that.

Now, In 3 weeks he collect 285 cards.

Hence, Number of cards to collect in initially is,

⇒ 285/3

⇒ 95

Thus, There are 95 cards did Steve initially purchase to begin his collection.

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Answer:95