If you wanted to reduce a 8 by 6 rectangle by a ratio of 1/4,what would the dimensions of the new rectangle be?

Answers

Answer 1
Answer:

Answer:

The dimensions of the new rectangle are 2\ by\ 1.5

Step-by-step explanation:

we know that

In this problem the ratio of (1)/(4) is equal to the scale factor

To obtain the dimensions of the new rectangle multiply the dimensions of the original rectangle by the scale factor

so

8*(1/4)=2\ units

6*(1/4)=1.5\ units

Answer 2
Answer: Answer=2 by 1.5

Rectangle= 8 by 6

Reduced Rectangle= 1/4(8) by 1/4(6)
Reduced Rectangle= 2 by 1.5

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Joseph drove for hours at the speed of 40 km per hours he changed his speed to 65 km for the next 2 hours how far had Joseph driven in km

Answers

Answer:

The answer to your question is 450 km

Step-by-step explanation:

Data

First stage                      Second stage

speed 1 = 40 km/h         speed 2 = 65 km/h                      

time 1 = 8 h                     time 2 = 2 h

Process

1.- Write the formula to calculate the speed

    speed = distance / time

-Solve for distance

    distance = speed x time

2.- Calculate the distance of the first stage

    distance 1 = 40 x 8

    distance 1 = 320 km

3.- Calculate the distance of the second stage

    distance 2 = 65 x 2

    distance 2 = 130 km

4.- Calculate the total distance

    Total distance = 320 + 130

                             = 450 km

I’d go with the answer from the top it seems reliable

Please please help me but make sure you give me the right answer :)

Answers

it is not representative of the whole school because you asked only peple at the gym
what if there happened to be 1 person at the gym,
therfor you conclude that 100% of people at school exercise?
rediculus


1. no, becuse yo only asked peple at gym who are probaly exercising or pretenitng to exercise or showing off

2. yes, at the doors of the school or the school cafeteria or where there is a mixed group of people, the more the better, if you can survey the entire school, great

3. that is an either or situation, also people don't like to be called a couch potato so theere will be some people who will lie and say they exercise every day and there will be some peple wo don't want to answer and there will be some who will think you are insulting them and punch you
you will have biased results since you changed the question to the extermes
1. No, the results will only represent how much exercise those people do. 2.A better location would be somewhere like a playground because everyone goes there. At a gym you will only talk to people who do exercise. 3. The results of you answer would be different because there is less of a range of answers. People who don't exercise every day would have to go with the second answer even if they exercised on like 5 days a week. Without those answers you could say that they exercised a lot.

Skye's two new aquariums each hold exactly 200 gallons of water. One aquarium will hold small fish and the other will hold large fish. Now hew needs new fish for his aquariums. She will buy 5 small fish for every 10 gallons of water in the aquarium. She will buy 8 large fish for every 40 gallons of water in the aquarium. What is the total number of fish Skye will have?

Answers

Answer=140 fish

200 gallons of water in the first aquarium.

200 gallons of water in the second aquarium.

The first will be for the small fishes.

   5 small fish            x fish
_____________=__________
     10 gallons        200 gallons

cross multiply
10x=1000
divide both sides by 10
x=100 small fish

The first aquarium has 100 small fish.

The second aquarium holds large fish.

   8 large fish            x fish
____________=___________
    40 gallons        200 gallons

cross multiply
40x=1600
divide both sides by 40
x=40 large fish

The second aquarium has 40 large fish.

100small fish+40 large fish=140 total fish
In terms of the first aquarium, the number of small fish Skye will have is:
200 gallons of water* (5 small fish/ 10 gallons of water)= 100 small fish.

In terms of the second aquarium, the number of large fish Skye will have is:
200 gallons of water* (8 large fish/ 40 gallons of water)= 40 large fish.

The total number of fish Skye will have is:
100 fish+ 40 fish= 140 fish.

Final answer: 140 fish.

Hope this would help~

Which of the following points is a solution of y > |x| + 5?a. (0, 5)
b. (1, 7)
c. (7, 1)

Answers

You can do this one simply just by plugging in the values of x and y for each answer.
Note: (0,5) is just a way to right x=0 and y=5

Try answer A (0,5)
y\ \textgreater \ |x|+5
5\ \textgreater \ |0|+5
5\ \textgreater \ 0+5
5\ \textgreater \ 5
This is not true. 5 is not bigger than 5 so A is not the answer

Try answer B (1,7)
y\ \textgreater \ |x|+5
7\ \textgreater \ |1|+5
7\ \textgreater \ 1+5
7\ \textgreater \ 6
This is true so answer B works!

Might as well try answer C (7,1)
y\ \textgreater \ |x|+5
1\ \textgreater \ |7|+5
1\ \textgreater \ 7+5
1\ \textgreater \ 12
1 is obviously not greater than 12 so C does not work

The answer is B (1,7)

The table gives the mean and standard deviation of four data distributions.Mean Standard Deviation
Distribution 1 22 0.2
Distribution 2 21 0.8
Distribution 3 19 1.2
Distribution 4 20 3.2
which Distribution has the greatest spread.? help please !

Answers

The distribution 4 has the greatest spread because the value of the  standard deviation is 3.2

What is the standard deviation?

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

As we know, the standard deviation will give idea about the spread of the data.

As we can see in the distribution 4

The standard deviation = 3.2

And 3.2 is the bigger than all other distribution.

Thus, the distribution 4 has the greatest spread because the value of the  standard deviation is 3.2

Learn more about the standard deviation here:

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The sample with the greatest standard deviation relative to the mean has the greatest spread.  Since the means are all similar, we just look at the distribution with the highest standard deviation.  This is Distribution 4, with a standard deviation of 3.2.

You have a long-distance calling card with a remaining balance of $12.00. It costs $4.25 for the first 5 minutes and then an additional $0.40 for each additional minute. How many minutes do you have remaining on the card? Round your answer to the nearest whole number. A. 10 B. 16 C. 22 D. 17 E. 24

Answers

Final answer:

After subtracting the initial 5-minute cost from the total balance and dividing by the cost of additional minutes, you would have about 24 minutes remaining on your long-distance calling card when rounding to the nearest whole number.

Explanation:

To solve how many minutes you have remaining on your long-distance calling card, you'll first need to subtract the cost of the first 5-minute period from your total balance, which gives you $12.00 - $4.25 = $7.75.

Next, you would divide this amount by the cost of each additional minute which is $0.40. This calculation ( $7.75 / $0.40 ) results in a total of approximately 19.375 minutes.

Therefore, since you already have 5 minutes from the initial payment, you would add these two values together (5 + 19 = 24 minutes). But, according to the task you need to round your answer to the nearest whole number. As such, you can say you have approximately 24 minutes left on your card.

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Final answer:

To determine the number of minutes remaining on the calling card, subtract the cost of the first 5 minutes from the remaining balance and divide by the additional cost per minute. You have approximately 19 minutes remaining on the calling card.

Explanation:

To determine the number of minutes remaining on the calling card, we need to subtract the cost of the first 5 minutes from the remaining balance and then divide the result by the additional cost per minute.




  1. Subtract the cost of the first 5 minutes ($4.25) from the remaining balance ($12.00): $12.00 - $4.25 = $7.75.

  2. Divide the result by the additional cost per minute ($0.40): $7.75 ÷ $0.40 ≈ 19.38 minutes.

  3. Round the result to the nearest whole number: 19.38 ≈ 19 minutes.



Therefore, you have approximately 19 minutes remaining on the calling card.

Learn more about Calculating remaining minutes here:

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