Mr. Jack conducted a survey among the students in his class to see what the most popular color was. The results of his survey are displayed in this table. Which statistic(s) can be used to represent the most popular color? A. the mean B. the median C. the mode D. the median and the mode

Answer:

w = -8

Step-by-step explanation:

7(w + 13) = 35

Divide each side by 7

7/7(w + 13) = 35/7

w+13 = 5

Subtract 13 from each side

w+13-13 =5-13

w = -8

Or you can distribute

7w +91 = 35

Subtract 91 from each side

7w+91-91 = 35-91

7w = -56

Divide each side by 7

7w/7 = -56/7

w = -8

Answer:

7(w+13)=35  {Here, 7 is wholly multiplied to w and 13}

7w+91=35

7w=35-91= -56

w= [tex]\frac{-56}{7}[/tex]

w= -8

Proof:

7(-8+13)= -56+91= 35

Therefore, w= -8

The volume of the marbles is   26-20.9 = 5.1 l      and there ar e85 marbles

5.1/85 = .06 l/marble

then 200 marbles would requrie    .06 l/marble x 200 marbles = 12 liters

so he would only need  26-12= 14 liters of water to fill the tank !

Answer:

14 marbles

Step-by-step explanation:

Answer:

C = 15m

Step-by-step explanation:

Since the almonds are $15 per kg, the cost can be represented by 15m, where m is the number of kg.

To create the equation, set this equal to C, the cost in dollars:

C = 15m

So, the equation is C = 15m

Here is an equation to represent the relationship between the cost, C, in dollars, and the mass, m, in kg of almonds sold at a rate of $15 per kg at a local store: C = 15m

The mass of the almonds closely relates to how much they cost. This implies that the price of almonds will rise along with the mass of the nuts. Since the proportionality constant is $15, the price will be $15 for every kilogram of almonds.

Let's use an illustration to try to comprehend this. A 2 kg purchase of almonds will cost $30. Since 2 x 15 = 30, this is the case.

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Answer:10

Step-by-step explanation:

Answer: 23 dimes & 7 quarters

Step-by-step explanation:

You can create two equations:

[tex]\left \{ {{x + y = 30} \atop {0.10x + 0.25y =4.05}} \right.[/tex]

Rearrange x + y = 30:

[tex]y=30-x[/tex]

Substitute it into the x-value of the other equation & solve:

[tex]0.10x + 0.25y =0.10x + 0.25(30-x)=4.05\\0.10x+7.5-0.25x=4.05\\0.10x-0.25x=4.05-7.5\\-0.15x=-3.45\\x=\frac{-3.45}{-0.15} =23[/tex]

With the x-value, substitute it back to the original equation to find y-value:

[tex]y=30-x=30-23=7[/tex]

Therefore, there are 23 dimes & 7 quarters.

There are 23 dimes and 7 quarters.

Given that, the total number of coins=30.

To convert dimes to dollars we need to multiply the number of dimes by 0.1.

Let the number of dimes be x, and then the number of quarters will be 30-x.

Now, x×0.1+(30-x)×0.25=4.05

⇒-0.15x=-3.45

⇒x=23

30-x=7

Hence, there are 23 dimes and 7 quarters.

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Answer:

19.5

Step-by-step explanation:

Answer:

340

Step-by-step explanation:

2920 - 2580 = 340

There need to be 340 people to watch the third show.

An absolute value equation to satisfy the given solution set shown on a number line is -1/2 ≤ a ≤ 1/2.

A number has both magnitude(its absolute value) and its sign(positive or negative).

Thus, for -5, the magnitude is 5, and sign is –ve.

Also, positive numbers > 0 > negative numbers.

In the number line we can clearly see that our possible values of a are in the range:

-1/2 ≤ a ≤ 1/2

And we need to find an absolute value equation such that this set is the set of possible solutions.

An example can be:

Ia - 1/2I ≤ 1/2

Notice; using the minor and equal sign, this is because the black dots means that the values a = -1/2 and a = 1/2 are included, if the dots were empty dots, it would be an open set and we should use the <  > signs.

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Answer:

I don't know if you have any questions or need any further information please contact me at the sun with the sun with the sun with the sun

Answer:

[tex] \displaystyle D) {x}^{5} + \rm C[/tex]

Step-by-step explanation:

we would like to integrate the following Integral:

[tex] \displaystyle \int 5 {x}^{4} \, dx [/tex]

well, to get the constant we can consider the following Integration rule:

[tex] \displaystyle \int c{x} ^{n} \, dx = c\int {x}^{n} \, dx[/tex]

therefore,

[tex] \displaystyle 5\int {x}^{4} \, dx [/tex]

recall exponent integration rule:

[tex] \displaystyle \int {x} ^{n} \, dx = \frac{ {x}^{n + 1} }{n + 1} [/tex]

so let,

Thus integrate:

[tex] \displaystyle = 5\left( \frac{ {x}^{4+ 1} }{4 + 1} \right)[/tex]

simplify addition:

[tex] \displaystyle = 5\left( \frac{ {x}^{5} }{5} \right)[/tex]

reduce fraction:

[tex] \displaystyle = {x}^{5} [/tex]

finally we of course have to add the constant of integration:

[tex] \displaystyle \boxed{ {x}^{5} + \rm C}[/tex]

hence,

our answer is D)

Answer:

75 miles miles an hour. (First one)

5 mph for the second one.

Step by Step:

1800%2F3 = u + v   (1)  is the equation for the flight with the wind.

                     (Here "u" is the airspeed of the airplane with NO wind,

                           "v" is the wind speed)

1800%2F4 = u - v   (2)  is the equation for the flight against the wind.

Simplify equations (1) and (2) and write them as a system:

u + v = 600,           (1')

u - v = 450.           (2')

Now add the two equations (1') and (2'). You will get

2u = 1050  --->  u = 1050%2F2 = 525 miles per hour.

Having this, you can easily determine "v" from (1'):  

v = 600 - 525 = 75 miles per hour.

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

Second one will be 15 divided by 3 = 5mph

Answer:

look at the picuture

Step-by-step explanation:

Answer:

7(top left) 5(top right)

6(bottom left) 0(bottom right)

Answered by GAUTHMATH

90 cars out of 450

90 / 450 = 1/5

I guess the number of floors is 5

Answer:

0.3 miles above the ground

Answer: 2nd one.

Step-by-step explanation:

Basically is more turkey for cheaper price...

The best buy is the second turkey.

1. 1 5/7

2. 1 mile per hour

3. 13. Well, 13.5 but since you can't cut half a board, it's rounded down to 13.

4. a. 3 batches of cookies

   b. 180 cookies

5. a. 1/8 of a pound of candy every day

   b. It will take him 8 days to eat 1 pound of candy

Let me know if any of these are wrong, I will correct them.

Answer:

-2

Step-by-step explanation:

In the picture

Answer:

x = -2

Step-by-step explanation:

1/3(3x - 6) = 2x

3x - 6 / 3 = 2x

9x - 6 = 6x

3x = -6

x = -2

Step-by-step explanation:

If we count for both numbers up to 36, we start seeing a pattern...

Candy: 6 12 18 24 30 36

Danny: 4 8 12 16 20 24 28 32 36

Every other number in Candy's counting is also counted by Danny. So here's what we'll do:

600/6 = 100

This is how many numbers Candy counted overall.

100/2 = 50

This is how many numbers Danny counted that were also numbers Candy counted.

Answer:

50 of the numbers that candy counted were also counted by Danny.

Answer:

50

Step-by-step explanation:

Answer:

[see answer below]

Step-by-step explanation:

"Perry saved 4 twenty-dollar bills, 2 ten-dollar bills, 3 dimes, and 2 pennies."

4 * 20 = 80

2 * 10 = 20

3 * 0.1 = 0.3

2 * 0.01 = 0.02

80 + 20 + 0.3 + 0.02 = $100.32

100.32 - 49.86 = 50.46

Hope this helps you.

Answer:

$50.46

Step-by-step explanation:

Answer:

3480

Step-by-step explanation:

Set it up so it looks like this.

(2580 + 2930 + x )/3 = 3000                Combine the terms on the left

(5510 + x) / 3 = 3000                              Multiply by 3

5510 + x = 9000                                    Subtract 5510

x = 9000 - 5510

x = 3490

Does that really work?

2580 + 2930 + 3490 = 9000

Which says it does work.

Answer:

803.78

Step-by-step explanation:

983.45-214.67=768.78

768.78-15=753.78

753.78+50=803.78

answer is 803.78

Answer:

$803.78

Step-by-step explanation:

You would subtract the car loan(214.67) from 983.45. then subtract another 15 since he is giving it away. You then add the $50 because you deposited it meaning you are getting money back into your acount.

Answer:

original: 2x4

scale factor: 8

new dimensions:

2x8=16

4x8=32

(To get the new dimensions all you have to do is multiply the sides by the scale factor)

Step-by-step explanation:

The new dimensions of the photograph is [tex]64 \ in^{2}[/tex]

The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.

According to the question

[tex]S_{1} =2\times4=8[/tex]

[tex]S_{2} =8S_{1} =8\times8=64[/tex]

The new dimensions of the photograph is [tex]64 \ in^{2}[/tex]

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[tex]\\ \sf\longmapsto 290-110=180[/tex]

Total days

[tex]\\ \sf\longmapsto \dfrac{180}{20}=9[/tex]

If days be p the equation will be

[tex]\\ \sf\longmapsto 20p+110=290[/tex]

Answer:Can't see the question

Step-by-step explanation:

Answer:

The centroid of a triangle divides each median in the ratio of 2:1. D, E, F are mid-points of BC, CA, AB. AD, BE and CF are medians. The medians cut each other are centroid G.

Helpful link:

https://qcweb.qc.edu.hk/math/Junior%20Secondary/Centroid%20divides%20medians%20in%202%20to%201.htm#:~:text=The%20centroid%20of%20a%20triangle,in%20the%20ratio%202%3A1&text=D%2C%20E%2C%20F%20are%20mid,each%20others%20are%20centroid%20G%20.

Answer:

The centroid of a triangle divides each median in the ratio of 2:1. D, E, F are mid-points of BC, CA, AB. AD, BE and CF are medians. The medians cut each other are centroid G.

Helpful link:

https://qcweb.qc.edu.hk/math/Junior%20Secondary/Centroid%20divides%20medians%20in%202%20to%201.htm#:~:text=The%20centroid%20of%20a%20triangle,in%20the%20ratio%202%3A1&text=D%2C%20E%2C%20F%20are%20mid,each%20others%20are%20centroid%20G%20.

Answer:

Blank1: (-1/10)

Blank2: 1

Blank3: 5

Step-by-step explanation:

First we can see that numerator is equal to 1 in the last equation, so the second missing value is 1. Looking at the middle equation we can differ that the denominator is 10. This means the missing number in the third equation is equal to ten, so a*2=10, where the answer "a" is the missing value. Solve the equation by dividing both sides by 2 leaving a=5. Final step is to make 1/5+b=1/10, where ''b" is the answer for the first blank. Solve the equation by subtracting (1/5) from (1/10) leaving b=(-1/10)

Answer:

61.973

Step-by-step explanation:

let the unknow side be x

surf of prism = 2*(8*8+8x+8x) = 2*(64+16x) = 128+ 32x

again, surface of cylinder = 2pi*r*(r+h) = 2 * pi * 14 * (14+10) = 672pi

now solve for x, when

128+32x = 672pi

Answer:

Answer is B

just do your work and proof the work and that will give u the right answer

Answer:

it is B

Step-by-step explanation:

it is just B man, trust