Challenge. The mean of two numbers is
28. Find the numbers if 3 times one of the
numbers equals half the other number.
Hint. The mean of x and y is (x + y)/2 =
1/2(x + y).

Answers

Answer 1

Answer:

8 and 48

Step-by-step explanation:

Here is how to find it mathematically

x = one number     6x = other number    ( because 3x is 1/2 of x)

(x + 6x) /2 = 28

7x = 56

x = 8     then 6x = 48


Related Questions

16 km
12 km
What is the length of the hypotenuse? If necessary, round to the nearest tenth.
С
kilometers

Answers

Answer = 20 km

Step-by-Step Explanation:

Which data set does this stem-and-leaf plot represent?


7, 0, 6, 2, 8

77, 7, 0, 6, 6, 0, 0, 2, 8

17, 27, 40, 46, 56, 60, 82, 88

40, 88, 82, 46, 56, 60, 17, 60, 27, 17

Answers

Answer:

it's 40, 88, 82, 46, 56, 60, 17, 60, 27, 17

There are 24 pictures on a roll of film. Adelle had 84 pictures from her trip home. She said that 12 other pictures were spoiled. How many rolls of film did Adelle use?

Answers

Answer:

Total pictures = 84+12 = 96

roll of films = 96 / 24 = 4

she used 4 rolls

The price of a certain computer stock t days after it is issued for sale is p ( t ) = 100 + 20t − 3t^2 dollars. The price of the stock initially rises, but eventually begins to fall. During what period of time does the stock price rise? 0 ≤ t ≤ If you owned the stock, after how many days would you sell it? days

Answers

The period of time does the stock price rise is 0 ≤ t ≤ 10/3.

It would sell in 3.34 days.

What is differentiation?

It is the process of finding the derivative, or rate of change, of a function.

The price of a certain computer stock after t days is

p(t) = 100 + 20t - 3t²

Now, take the derivative of the given function and equate it to zero to find the critical points,

p'(t) = 20 - 6t = 0

t = 20/6

t = 10/3 days

Thus, there are two intervals in which the given function is defined

(0, 10/3) and (10/3, ∞)

For the interval (0,10/3 ),

p'(1) = 20 - 6(1) =14

For the interval (10/3, ∞),

p'(2) = 20 - 6(2) = 8

Since p'(t) in the interval (0, 10/3) indicates that the function is increasing.

0 < t <10/3

Since at the point t = 3.34 days it would sell.

Learn more about this concept here:

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I need help on this question and please explain what I got wrong so I understand and what I'm supposed to do.​

Answers

Answer:

A. 64

Step-by-step explanation:

In this problem, you're trying to find out what b is.

With the information that you have, you know that the answer will be 16, and your denominator (what you'll be dividing by) is 4. What you got wrong in this was thinking of it as "what times 4 equals 16", to which you got the answer 4 because 4*4=16. But, that's not exactly what you're supposed to be doing.

If we looked at it like that in this problem, you'd have b=4, making the equation then look like 4/4=16. This isn't true because 4/4=1.

Instead, to get the correct answer, you'll be multiplying 4, the denominator, by 16, our solution. With this, you'll get the answer A. 64.

If you have any more questions, feel free to reach out for help.

Answer:

We are given an equation of [tex]\frac{b}{4} = 16[/tex] and we need to determine what b is.  The way that we would do this is what you did and we would multiply both sides by 4 which would get rid of the 4 in the fraction and this would end up multiplying 16 by 4 giving us [tex]b=64[/tex].  This would best match with option A which is 64.

Hope this helps!  Let me know if you have any questions

In a cafe, there are 5 women, 4 men, and 2 employees. Write the following reports:
a) between women and men
b) between men and employees
c) between customers and employees
d) between women and the total number of people in the cafe
e) between men, employees and women

Answers

It’s E between men, employees and women because it’s separating them!

Max is creating a playlist and can have at most 180 minutes of music. He currently has 45 minutes. How many more minutes of music could Max include in the playlist?​

Answers

Answer:

max could still add 135 minutes of music into his playlist

Step-by-step explanation:

180 - 45 = 135

Answer:

So we know that Max's playlist can have at most 180 minutes of music meaning that our amount of music cannot exceed that number.  We are also given that Max already has 45 minutes of music on there so we need to subtract that from 180 minutes to see how much we have left.

[tex]180\ minutes - 45\ minutes[/tex]

[tex]135\ minutes[/tex]

Max still has 135 minutes left on his playlist that he can fill up.

Hope this helps!  Let me know if you have any questions

The angle below is the image formed when a figure containing /KLM is
dilated by a scale factor of 1/2 What is the measure of ZKLM?
M'
K'
48°
L'

Answers

Answer: 48 degrees

Step-by-step explanation:

Dilations preserve angle measure.

Pleas help ppppppp pls

Answers

Step-by-step explanation:

option A is correct answer

You’ll earn points just answer.. I know the answer already I’m just giving points

Answers

Answer:

10 inches

Step-by-step explanation:

2+2.25+2.25+2.25+2.5+2.75+2.75+3.25=10!!!!!!!!!

Answer:

thank youuu

Step-by-step explanation:

The length of a rectangle is 3 times the
width. Find the dimensions of the
rectangle if its perimeter is 16 cm.

Answers

Step-by-step explanation:

length = 3×width

2×length + 2×width = 16

length + width = 8

we can use the first equation in the second :

3×width + width = 8

4×width = 8

width = 2 cm

therefore,

length = 3×width = 3×2 = 6 cm

How to solve the square root of x - 1.​

Answers

Answer:

I know i'm late but I think this might be right, I don't know, I used a website-

Step-by-step explanation:

When

√x-1

STEP

1

:

Isolate the square root on the left hand side

    Radical already isolated

    √x-1 = 0

STEP

2

:

Eliminate the radical on the left hand side

    Raise both sides to the second power

    (√x-1)2 = ()2

    After squaring

    x-1 =

STEP

3

:

Solve the linear equation

    Rearranged equation

    x -1 = 0

    Add  1  to both sides

    x = 1

    A possible solution is :

    x = 1

STEP

4

:

Check that the solution is correct

    Original equation

    √x-1 =

    Plug in 1 for  x

     √(1)-1 =

     Simplify

     √0 = 0

     Solution checks !!

    Solution is:

     x = 1

also, want to talk and be friends?

       ~Dreamer1331~

Which of the following are always congruent?

Answers

Answer:

B. Vertical angles

Step-by-step explanation:

Javier uses 1/8 teaspoon of nutmeg for each loaf of banana bread he makes. How many loaves f banana bread can Javier with 4 teaspoons of nutmeg?

Answers

5 loaves of banana bread

A rectangle has sides measuring (12x - 2) units and (x + 8) units.

Part A: What is the expression that represents the area of the rectangle? Show your work. (5 points)

Part B: What is the expression that represents the perimeter of the rectangle? Show your work. (5 points)

Part C: What are the degree and classification of the expression obtained in Part A? (3 points)

Answers

The area equation is:

A = (12x - 2)*(x + 8)

Which is a polynomial of degree 2, and the perimeter is:

P = 26x + 12

How to write the area of the rectangle?

Remember that for a rectangle of length L and width W, the area is written as:

A = L*W

Here we know that:

L = (12x - 2)

W = (x + 8)

Then the equation for the area is:

A = (12x - 2)*(x + 8).

How to write the perimeter?

For a rectangle of length L and width W, the perimeter is:

P = 2*(L + W).

Replacing what we know, we get:

P = 2*(12x - 2 + x + 8) = 2*(13x + 6) = 26x + 12

What are the degree and classification of the area equation?

The area equation is:

A = (12x - 2)*(x + 8).

Notice that this is a polynomial that is made of the product of two polynomials of degree 1, so this is a polynomial of degree 2.

If you want to learn more about polynomials:

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find the speed and direction of a plane with a velocity of 〈5,-12〉.

Answers

Answer:

Below in bold.

Step-by-step explanation:

Speed = √(5^2 + (-12)^2)

= √169

= 13,

Direction = arctan (5/-12)

= -22.61 degrees     ( its in the 4th quadrant)

So we can write the direction as 90 + 22.61

= 112.61 degrees.

Number of Edges = [?]
=

Answers

Answer:

6

Step-by-step explanation:

(53 +9r²s) (12rs²-g³) + (-7r²s +7rs²)

Answers

Answer:

(negatively proximity is (31 + 1r¼)car bite

Step-by-step explanation:

Hope it helps

Warren's Scores
Absolute Deviation from Mean Score
mean - individual score
0
25
15
10
20
30
10
15
5
25
20
15
20
5

Answers

50 dollars is on Emma's way

Step-by-step explanation:

Not math is free okay but only mathematics is free

Which of these numbers are relatively prime to 51? Select all that apply. da) 84 Ob) 70 Oc) 62 0d) 30

Answers

Answer:

  b) 70

  c) 62

Step-by-step explanation:

Numbers are relatively prime when they have no factors in common.

__

The factors of 51 are ...

  51 = 3×17

The factors of the other numbers are ...

  84 = 2²×3×7 . . . . . has a factor of 3 in common with 51

  70 = 2×5×7 . . . . . . no factors in common

  62 = 2×31 . . . . . . . no factors in common

  30 = 2×3×5 . . . . . has a factor of 3 in common with 51

The numbers 70 and 62 are relatively prime to 51.

PLEASE HELP ME I NEED HELP

Answers

Answer:

5x + 7y = 37

Step-by-step explanation:

I hope it is the answer

If
x
=

9
and
y
=
2
, evaluate the following expression:
2
(
y

3
x
y
)

Answers

Answer: -104

Explanation: x=-9 y=2
2(y-3xy)
=2(2-3(-9)(2))
=4-2(3(-18))
=4-108
=-104

Hope it helped

Why is 1/2 the same as 0.5

Answers

Answer:

it’s because 0.50 is half of 100 and 1/2 is a reduced fraction of 50/100.

Step-by-step explanation:

Hayden said the expression 3(2x+1) will always be greater than 3 because when I distribute the 3 to the numbers inside the parentheses, I will multiply 3 and 1 which is 3 since I will always be adding to the first part of the expression the final answer must be greater than 3

Answers

Answer:

9x.

Step-by-step explanation:

Hayden is correct. 3(2x + 1) = 9x.

Here is explanation:

If you didn't know, 2x + 1 would simply be 3x.

So then, 3 * 3x would then be 9x.

Here is math explanation:

3(2x + 1)= 3(3x)= 3 * 3x= 9x.

You now have your answer!

9x is your answer.

Obisa has a radio which uses 18-volt batteries. Each battery has 1.5 volts. How many batteries does he need to use his radio?​

Answers

Answer:

I believe he would need 12 batteries

Rita reads 48 chapters of a book in 6 hours.
What is her rate in chapters per hour?

Answers

Answer:

To find Rita's rate per hour, all you have to do is divide 48/6 which 8. This means that Rita reads 8 books per hour

Step-by-step explanation:

Pa help po salamat, ​

Answers

Answer:

- a frequency table is how much a number occurs, for example there are 4 10's in data list given so the frequency is 4

- the prompt asked for a width of 6 so 1 - 6, there was no numbers of 1, 2, 3, 4, 5, 6 in the list making the frequency 0

A. 0.31
B 0.52
C 0.56
D 0.26​

Answers

Answer:

0.56

Step-by-step explanation:

Michiko is selling raffle tickets to raise money for the school band. The odds against winning a prize in the raffle are 13:1. What is the probability of winning a prize? Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.
0.929
14
0.071
0.077

Answers

The probability of winning a prize is 0.929 if Michiko is selling raffle tickets to raise money for the school band. The odds against winning a prize in the raffle are 13:1 option first is correct.

What is probability?

It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

The odds against winning a prize in the raffle are 13:1

This means 13 to 1 odds for winning:

The probability of winning a prize:

Winning = 13/(13+1) = 0.929 or

=92.8571%

Losing = 1 - 0.9286 = (0.0714) or

=7.14%

Thus, the probability of winning a prize is 0.929 if Michiko is selling raffle tickets to raise money for the school band. The odds against winning a prize in the raffle are 13:1 option first is correct.

Learn more about the probability here:

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Answer:

0.071

Step-by-step explanation:

If the odds against winning a prize are 13:1, then the odds in favor of winning a prize are 1:13.

A random sample of 87 eighth grade students’ scores on a national mathematics assessment
test has a mean score of 283. The test results prompts a state school administrator to declare
that the mean score for the eighth graders on the exam is more than 280. Assume the
population deviation is 37. At α = 0.14, is there enough evidence to support the administrator’s
claim?

Answers

There is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.

What is a statistical hypothesis?

A hypothesis to test the given parameters requires that we determine if the mean score of the eighth graders is more than 283, thus:

The null hypothesis:

[tex]\mathbf{H_o \leq 283}[/tex]

The alternative hypothesis:

[tex]\mathbf{H_i > 283}[/tex]

From the population deviation, the Z test for the true mean can be computed as:

[tex]\mathbf{Z = \dfrac{\hat X - \mu _o}{\dfrac{\sigma}{\sqrt{n}}}}[/tex]

[tex]\mathbf{Z = \dfrac{283 -280}{\dfrac{37}{\sqrt{87}}}}[/tex]

Z = 0.756

Note that, since we are carrying out a right-tailed test, the p-value for the test statistics is expressed as follows:

P(z > 0.756)

P = 0.225

Since the P-value is greater than the significance level at α = 0.14, we can conclude that there is not enough evidence to support the administrator’s claim and the true mean is not significantly greater than 280.

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