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Answer: The smallest possible value of q is 9.

Step-by-step explanation:

If we have the set of N numbers:

{x₁, x₂, x₃, ..., xₙ}

The mean of this set is:

M = (x₁ + x₂ + x₃ + ... + xₙ)/N

Now, in this case our set is:

{1, 2, 3, 4, 5, 6, p times 5, q times 7}

Then we have a total of:

6 + q + p numbers.

The mean of this set will be:

Mean = 5.3 = (1 + 2 + 3 + 4 + 5 + 6 + p*5 + q*7)/(6 + p + q)

This is the equation that we will use now.

First, we can simplify this as:

5.3 = (21 + p*5 + q*7)/(6 + p + q)

Now we can pass the denominator in the right to the other side as:

5.3*(6 + p + q) = (21 + p*5 + q*7)

31.8 + p*5.3 + q*5.3 = 21 + p*5 + q*7

Now we want to isolate the variable p in one side of the equation.

p*5.3 - p*5 = 21 - 31.8 + q*7 - q*5.3

p*0.3 = q*1.7 - 10.8

p = (q*1.7 - 10.8)/0.3 = q*(1.7/0.3) - 36

p = q*(1.7/0.3) - 36

p = q*(17/10)*(10/3) - 36

p = q*(17/3) - 36

Now we can see that the denominator is 3, so q should be a multiple of 3.

We want to start with the smallest multiples of 3, but if we use q = 3, then we will have a negative value of p (the same happens if we use 1 = 6)

We do not want that, then we need to use q = 9

p = 9*(17/3) - 36

p = 3*17 - 36

p = 15

Then we have;

9 times the number 7

15 times the number 5 (plus one, because it was already on the first 6 numbers that Sam wrote)

The smallest possible value of q is 9.

Now we want to get the smallest possible value of q.

Remember, p and q need to be positive numbers.

Answer:

All of them are correct except for the last one which is incorrect

Step-by-step explanation:

All you need to substitute the answers given for "r" and see if its less than or equal to 2

- 3.5 [tex]\leq[/tex] 2 Correct (negative numbers are always smaller than a positive number)

- 2 [tex]\leq[/tex] 2 Correct (negative numbers are always smaller than a positive number)

-1 [tex]\leq[/tex] 2 Correct ( negative numbers are always smaller than a positive number)

0 [tex]\leq[/tex]  2 Correct ( 0 has a value much more less than the value of 2)

2 [tex]\leq[/tex] 2 Correct (they both have the same value as "2")

4 [tex]\frac{1}{4}[/tex] [tex]\leq[/tex]  2 Incorrect ( 4 [tex]\frac{1}{4}[/tex] has a much more greater value than 2, therefore this is incorrect)

Answer:

3.5x + 2.50y = 1237.50

425 = x + y

Step-by-step explanation:

number of adult tickets: x

number of student tickets: y

3.5x + 2.50y = 1237.50

( value of adult ticket [3.50]* number of adult tickets [x]) + (value of student ticket [2.50] * number of student tickets [y]) = total value (1237.50)

425 = x + y

(number of adult tickets [x]) + (number of student tickets [y]) = total (425)

Answer:

89 cents.

Step-by-step explanation:

hope this helps

Answer: D. DE/DF

Step-by-step explanation: I got it right on edg...

Answer:

35 to 23

Step-by-step explanation:

Answer:

B. y = -3x - 9

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

The equation perpendicular to the given equation is y=-3x-9. Therefore, option B is the correct answer.

Given that, the equation of the line is y+2 = 1/3 (x-5) and the coordinate point is (-4, 3).

Here, the slope is 1/3

The slope of a line perpendicular to given line is m1=-1/m2

So, the slope is m=-3

Substitute m=-3 and (x, y)=(-4, 3) in y=mx+c, we get

3=-3×(-4)+c

3=12+c

c=-9

So, the equation is y=-3x-9

Therefore, option B is the correct answer.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ1

Answer:

I would LOVE to help but your photo is just a black screen for me.  Sorry

Answer:

19-37=18

18÷3=6

she scored (6) 3-points

Answer:

4

Step-by-step explanation:

what you would do is 19-3 and get 16 then add 3 until you get 37. you would have to cout how many times you counted up 3, here we go,16,19,21,24,27,30,33,36 we have a remainder but she made 8 shots. so since we are 1 short we have to divide by 2 to get 4.

hope this helped, pls mark brainliest

Answer:

324 Months

Step-by-step explanation:

Answer:

324 months according to goggle.

Answer: 317/305 or 1 12/305

Step-by-step explanation: Reduce the expression, if possible, by cancelling the common factors.

Answer:

The acceleration of object is -4 ms⁻²

Step-by-step explanation:

We are given:

Initial Velocity = 65 m/s

Final Velocity = 25 m/s

Time t = 10 seconds

We need to find acceleration.

The formula used to find acceleration is: [tex]Acceleration=\frac{Final\:Velocity-Initial\:Velocity}{Time}[/tex]

Putting value in the formula and finding acceleration:

[tex]Acceleration=\frac{Final\:Velocity-Initial\:Velocity}{Time}\\Acceleration=\frac{25-65}{10}\\Acceleration=\frac{-40}{10}\\Acceleration=-4\:ms^{-2}[/tex]

So, acceleration of object is -4 ms⁻²

Answer:

the surface area is 3140 square feet

Step-by-step explanation:

The computation of the surface area is given below:

Given that

Diameter = 20 feet

radius =  20 ÷ 2 = 10 feet

Surface area = [tex]2\pi r^2 + 2\pi rh[/tex]

= 2 × 3.14 × (10)^2 + 2 × 3.14 × 10 × 40

= 6.28  × 100  + 6.28  × 400

= 628 + 25.12  × 100

= 628+ 2512

= 3140 square feet

hence, the surface area is 3140 square feet

Answer:

D. 7 (6x+7)

Step-by-step explanation:

Factor  7  out of  42x  +  49

Answer:

20

Step-by-step explanation:

b:r            

2:5

8:x       8/2=4

           5*4=20

Answer:

I think that it is...

Step-by-step explanation:

sorry

Answer:

$1,725,360

Step-by-step explanation:

For this, you would just multiply every number: [tex]employees×weekly salary×weeks[/tex] which is [tex]546×790×4=1,725,360[/tex].

Answer:

I think all u need to do is mulitply thoses numbers just use calulator

Step-by-step explanation:

hope it helped

Answer:

The answer is >.

Step-by-step explanation:

78 19/88 is bigger than 74/93 because 74/93 has way less whole numbers on its side.

Answer:

88%

Step-by-step explanation:

Answer:

A. Enlargement, 1.5

Step-by-step explanation:

Comparing the two triangles, it would be observed that ΔD'E'F' is larger than ΔDEF. This implies that ΔDEF has been multiplied by a scale factor.

To determine the scale factor used, consider the side DE and D'E' of the two triangles:

scale factor = [tex]\frac{D'E'}{DE}[/tex]

                   = [tex]\frac{6}{4}[/tex]

scale factor  = 1.5

Therefore, ΔDEF was enlarged to ΔD'E'F' using a scale factor of 1.5. Then the correct option is A.

Answer:

This could be correct in the case and only if k would equal 24.5 so only in that case

Step-by-step explanation:

Answer:

9.5

Step-by-step explanation:

Answer:

9.5 answer to 1 work out work out 3.8x2.5

Answer: K=3

Step-by-step explanation: Have a nice day!-Lily ^_^

Answer:

true

Step-by-step explanation:

if an object is losing heat energy, it turns cold, and can turn into a solid, for example, water turning into ice. If you apply heat on ice, it's turns back to water. IF you apply heat to water, it vaporizes, and turns into gas.

Answer:

Step-by-step explanation:

if an object is losing heat energy, it turns cold, and can turn into a solid, for example, water turning into ice. If you apply heat on ice, it's turns back to water. IF you apply heat to water, it vaporizes, and turns into gas.

Answer:

2.646

Step-by-step explanation:

You have to 6 to the 1 and then take the square root of the number which is seven leaving you with 2.646

Answer:

x = ±√7

Step-by-step explanation:

Symbolically, we have x^2 - 6 = 1,  and so x^2 = 7, so that x = ±√7