Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
Use the table to answer the following questions.
Time (hours) Distance (miles)
2 90
3 135
5 225
6 270
1. Find the constant of proportionality.

2. Use the constant of proportionality to write a unit rate for the data in the table.

3. Write an equation to represent the relationship between time, t, and distance, d.

Can you please do step by step showing us how you got the answers?

Answer:

5.5

Step-by-step explanation:

2,3,3,4,5,7,8,8,8,10,10,12

The mean of this data is 7.5.  So what you are trying to figure out is the mean between 2 and 7.  Since that is 3 and 4 it would be 3.5.  So 3.5 is the Q1.  Now you have to figure out the mean between 8 and 12.  That is 9.  This is Q3.  You have to subtract 9-3.5 and that is the interquartile range. So 5.5 is the answer.  I hope that made sense.

The requried small section of the solar panel does not have an area of 30.4 inches.

Surface area is defined as the measure of a region or surface is called as surface area.

Identify the problem and find the area of the small section.

Formulate the area using the dimensions provided: (10.4 x 4.8)/2

Solve for the area: (49.92)/2 = 24.96

Contrast the calculated area with the given area: 24.96 is not equal to 30.4.

Finalize the answer: Disagree, the small section of the solar panel does not have an area of 30.4 inches.

Thus, the requried small section of the solar panel does not have an area of 30.4 inches.

Learn more about the surface area here: https://brainly.com/question/2835293

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Answer: There are 227 watches.

Step-by-step explanation:

What I did was that, I added the cost of watch A and B and then divided the sum by $22,000

The rower can bring all of them to another side because if he put sheep and wolf along with wolf will eat the sheep.

The process of applying a chain of reasoning to solve a problem and achieve a conclusion is known as logical thinking. It's an effective method for conquering seemingly insurmountable difficulties because it gives you the mental tools you need.

We have:

You want to bring a wolf, a goat, and a cabbage across a river. You are the rower and don't get out of the boat.

The rower first takes the sheep to the other side then again from the starting point he takes the wolf and takes it to another side then picks the sheep to take it to another side then and drops the sheep at the starting point and picks the cabbage then drop it to another side then again pick the sheep and drop to another side.

Thus, the rower can bring all of them to another side because if he put sheep and wolf along with wolf will eat the sheep.

Learn more about the logical thinking here:

https://brainly.com/question/4073398

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Answer:

22
St

ep-by-step explanation:

Find the middle value of the data set and that is your answer. If there are 2 middle values then add them together and divide by 2.

Answer:

62

length x width x hight

Step-by-step explanation:

Answer:

The answer is -1 1/2 is less than -1 3/4

Step-by-step explanation:

I look at it more as numbers, so for example 1/2 can be simplified into 50, and 3/4 is 75/ 75 would be greater if it was positive. But, with there being a negative 1 in front of the answer, the lowest number closest to 0 is better. :D

Answer: -1 1/2 is greater

Step-by-step explanation:

-1 1/2 is closer to zero and that makes it larger because they are negative numbers.

Answer:

Answer: 3.75 g

Step-by-step explanation:

Assume the weight of the square is x.

The hanger is in balance so the left side is equal to the right side.

Equation therefore is:

Triangle + Square + 3 * circle = 5* square + circle

3 + x + (3 * 6) = 5x + 6

3 + x + 18 = 5x + 6

5x - x = 3 + 18 - 6

4x = 15

x = 15/4

x =  3.75 g

Answer:

154+46×9 is the write answer

Answer:

hi I don’t know what you need because there is no picture but if you need help with other things I can help.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

1   put in  16 for x

   5/4 (16) + 7 = 27 pounds  at 16 months  

2  5/4 would be the pounds an infant should put on each month

3  7 would be when the infant is born ( x = month 0)     7 pound birthweight

Answer:

See below

Step-by-step explanation

Step-by-step explanation:

1   put in  16 for x

  5/4 (16) + 7 = 27 pounds  at 16 months  

2  5/4 would be the pounds an infant should put on each month

3  7 would be when the infant is born ( x = month 0)     7 pound birthweight

Answer:

18 degrees

Step-by-step explanation:

6 hours times 3 Fahrenheit every hour is 18 Fahrenheit

Answer:B

Step-by-step explanation:

Answer:

Main part of backpack V = 840 inᶾ

Front pocket of backpack V = 64 inᶾ

Top curve of the backpack V = 395.8406744 inᶾ

Total V = 1299.840674 inᶾ

Step-by-step explanation:

1.

As we know, the formula for the volume of a rectangular prism is width x height x length (V = whl).  We will use this formula to find the volume of the large rectangular prism (bottom part of the backpack) and the volume of the smaller rectangular prism (the pocket).  As for the cylinder, we know the formula for the volume of a cylindrical prism is pi x radius squared x height (V = πr^2h).  We will use this formula to find the volume of the half cylinder (top curve of the backpack).

2.

For the large rectangular prism (main part of the backpack), we are given:

w = 7in

h = 10in

l = 12in

Now let's incorporate our formula for the volume of a rectangular prism into this situation.

V = whl

V = 7 x 10 x 12

V = 840 inᶾ

3.

Now for the smaller rectangular prism (front pocket of backpack), we are given:

w = 2in

h = 4in

l = 8in

Now let's incorporate our formula for the volume of a rectangular prism into this situation.

V = whl

V = 2 x 4 x 8

V = 64 inᶾ

4.

Now to calculate volume for the half cylinder (top curve of the backpack), we must first imagine that this is a full, circular cylinder.  We are given:

r = 6in

h (which will be the same as the width of the backpack in this case scenario) = 7in

Now let's incorporate our formula for the volume of a rectangular prism into this situation.

V* = πr^2h

V* = π x 6^2 x 7

V* = 791.6813487 inᶾ (round this number if you must)

Now that we have the volume of a whole cylinder, we can halve it (divide by two) since we only need half of the cylinder.

V = V*/2

V = 791.6813487/2

V = 395.8406744 inᶾ (round this number if you must)

5.

Finally, we can add our volumes together to acquire the volume of the backpack as a whole!

Large rectangular prism (bottom part of the backpack) + Smaller rectangular prism (the pocket) + Half cylinder (top curve of the backpack) = Total Volume (Whole backpack)

Recall that:

Large rectangular prism (bottom part of the backpack) = 840 inᶾ

Smaller rectangular prism (the pocket) = 64 inᶾ

Half cylinder (top curve of the backpack) = 395.8406744 inᶾ

So:

Total Volume (Whole backpack) = 840 inᶾ + 64 inᶾ + 395.8406744 inᶾ

Total Volume (Whole backpack) = 1299.840674 inᶾ (round this number if you must)

Answer:

the and is 574

Step-by-step explanation:

in the function table it shows that that they r all multiples of 14

therefore 14×41 = 574

Answer:

574

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

We can either cross multiply or turn into decimal form to see if they have the same value.

I will be showing both.

Cross Multiply:                                                   Decimal Form:

[tex]\frac{18}{24} \;[\;\;] \frac{10}{15}[/tex]                                                [tex]\mathrm{To\;turn\;fraction\;into\;decimal\;just}[/tex]                                

[tex]18\times15=270[/tex]                                               [tex]\mathrm{Divide\;numerator \;by \;denominator\;}[/tex]

[tex]24\times10=240[/tex]                                                [tex]\mathrm{18\div24=0.75}[/tex]

[tex]\frac{18}{24} \;[ > ] \frac{10}{15}[/tex]                                                           [tex]\mathrm{10\div15=0.66666666666}[/tex]

[tex]\mathrm{As\;a\;result\;we\;can}[/tex]                                             [tex]0.75 > 0.66666666666[/tex]

[tex]\mathrm{conclude\;that\;\frac{18}{24} \;is\;greater\;than\;\frac{10}{15}}[/tex]                     [tex]\frac{18}{24} \;[ > ] \frac{10}{15}[/tex]

We can conclude that 18/24 and 10/15 are not the same.

~Kavinsky

Answer:

2/15

Step-by-step explanation:

The answer choices to this question do not make sense since probability is a measure that is always <= 1.0

Based on the number of times a particular colored tile is drawn we can assume that at the minimum there are 6 green, 20 red, 7 blue, 8 purple and 4 black tiles

Total number of tiles = 6 + 20 + 7 + 8 + 4 = 45

Probability of drawing a green tile = 6/45 = 2/15

Answer:

A has been reflected over the x-axis

B has been reflected over the y-axis

C has been reflected over the x-axis

Step-by-step explanation:

Answer:

the answer is 19

Step-by-step explanation:

hence the output is 19 hope it help u

putting the value of x in rule

2x+7

2*6+7

=19

Answer:

1st box: 6/9

2nd box: 1/9

3rd box: 5/9

Step-by-step explanation:

Finding the LCD is pretty simple here, it has to at least be the highest denominator, which is 9, and since 3 goes into 9 evenly we get a LCD of 9.

Then to make the fractions correct we do 2/3 x 3/3 which is 6/9.

So now we figure out 6/9 - 1/9 which is just subtracting the numerator so 6/9 - 1/9 = 5/9 and since that is the most it can be simplified, 5/9 is our answer. Hope this helps!

Answer:

6/9

1/9

5/9

What is a least common denominator?

Well, a least common denominator is the smallest number of all the common multiples of the denominators when 2 or more fractions are given.

Find LCM(3, 9)

3: 3, 6, 9,

9: 9

2/3 =   2/3  × 3/3 =  6/9

1/9 =    1/9 × 1/1 =  1/9

2/3 = 6/9

1/9 = 1/9

6/9 - 1/9 = 5/9

Therefore the answers are in bold.

Answer:

A) [tex]x=42\sin32^\circ[/tex]

Step-by-step explanation:

With respect to our angle, the side opposite to it is [tex]x[/tex], and the hypotenuse is [tex]42[/tex], so the trig ratio we need to use here is sine as [tex]\displaystyle \sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}[/tex]. Hence, if we rearrange the equation so that we solve for the opposite side [tex]x[/tex], then we'll have [tex](\text{hypotenuse})(\sin\theta)=\text{opposite}\rightarrow42\sin32^\circ=x[/tex] as the correct equation.

Answer:

sales tax: $85.023

Explanation:

Original or actual price is always of 100%

Solving:

100% = $1269

Find the unit percent :

1% = $(1269/100) = $12.69

Find the sales tax :

$12.69 × 6.7 = $85.023

The bathtub had 120 L of water before Barb pulled the plug.

It will take about 9.23 minutes for the water to drain out.

Given equation: L = -5t - 8t + 120

Simplified: L = -13t + 120

Notice how it's written in slope-intercept form (y = mx+b)

The y-intercept (L) is 120. So the coordinates for L = (0 , 120)

The coordinates mean that before the water in the bathtub began draining out, it initially had 120 Liters of water.

Now that we know how many liters there were before, the new equation would look like this: L = -13t --> 120 = -13t

Solving the equation, we get that t = -9.23 minutes

Since time can't be negative, we'll just say that it will take 9.23 minutes to drain out all the water.