Find three consecutive integers such that their sum is 40 more that tiwce the middle integer.

Answers

Answer 1

Answer:

  39, 40, 41

Step-by-step explanation:

Let x represent the middle integer. The sum of the three integers will be ...

  (x -1) +x +(x +1) = 3x

This is 40 more than 2 times the middle integer, so we have ...

  3x = 40 +2x

  x = 40 . . . . . . . subtract 2x

The three integers are 39, 40, 41.

_____

Additional comment

It often works well to solve consecutive integer problems by letting a variable represent the middle value, or the average of the integers.


Related Questions

Someone help, will give brainliest to first right answer

Answers

Answer:

The arrow points to the left, the arrow points to the right, and there is a closed circle on 2 8/9

Step-by-step explanation:

I hope this helps!!

A child is playing a card game where, if she does not
have a red card in her hand, she must draw cards from
the deck, and keep the cards she draws, until she
draws a red card.
is it appropriate to use the geometric distribution to
calculate probabilities in this situation?
o yes, the geometric distribution is appropriate.
o no, since each trial is not independent of the other
trials
o no, because it is not looking for the first occurrence
of success.
o no, since a success and failure on each trial cannot
be defined

Answers

The probability of choosing the red card will be 0.03%

What is probability?

In this situation, Mickey should have drawn the first 7 cards that are not diamond and then on the 8th attempt she should draw an ace.

Let A be the event of drawing 7 cards which are not diamond and B the event of drawing an ace card. therefore the required probability is

P(A∩B)=P(A)*P(B)

Now, there are 13 diamonds and 39 other cards. Hence,

P(A)=(13/39)⁷=0.1335

After drawing 7 non-diamond cards, the 8th card must be a diamond. Hence,

P(B)=0.25

Hence, P(A∩B)=P(A)*P(B)=0.1335*0.25=0.033(approximately 0.03,i.e. 3%)

Therefore the probability that Mickey will draw her first red diamond on the 8th attempt is 0.03%

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Which box and whisker plot accurately shows the data set below

Answers

3rd

Step-by-step explanation:

i am not sure though so confirm it

Answer:

Its the THIRD choice.

Step-by-step explanation:

The values in ascending order are:

6 6 7 9 11 14 15 15 17 19 21 23 23 23 28 31

So the median = (15+17)/2 = 16.

The lowest and highest values are 6 and 31.

The lower quartile is 10.

The upper quartile is 23.

Guys what is the volume formula called for this please ?

Answers

Answer:

Total Area = 24830.437[tex]m^{3}[/tex]

Step-by-step explanation:

This will be using different AREA formula to find the inner area amount

The image is color coded to each shape area

Let me know if you have any questions !

Hope this helps :)

James bought a movie ticket for $4.05. He
paid the movie ticket with quarters and
dimes. If James used 18 coins in all, how
many quarters (q) and dimes (d) did he use?
q+d=18

Please answer fast!!! Will give Brainliest!!!

Answers

Answer: 15 quarters and 3 dimes :D

Find the distance between $\frac{13}{3}$ and $\sqrt{\frac{16}{9}}$ on a number line. The distance is unit.

Answers

[tex]\cfrac{13}{3}~~ - ~~\sqrt{\cfrac{16}{9}}\implies \cfrac{13}{3}~~ - ~~\cfrac{\sqrt{16}}{\sqrt{9}}\implies \cfrac{13}{3}~~ - ~~\cfrac{4}{3}\implies \cfrac{13-4}{3}\implies \cfrac{9}{3}\implies 3[/tex]

Write a cosine function that has an amplitude of 2, a midline of 5 and a period of T.

Answers

phase shift is 0

General equation

y=AcosB(x-C)+D

c is phase shift

y=AcosBx+D

Midline is D

y=AcosBx+5

A is amplitude

y=2cosBx+5

B is period

2π/T

So

Final equation

y=2cos(2πx/T)+5

Not mandatory from now

For some special cases 2π/T=omega

So Equation yields

y=2cos([tex]\omega x[/tex])+5

Answer:

[tex]f(x)=2 \cos (2x)+5[/tex]

Step-by-step explanation:

The cosine function is periodic, meaning it repeats forever.

Standard form of a cosine function:

f(x) = A cos(B(x + C)) + D

A = amplitude (height from the mid-line to the peak)2π/B = period (horizontal distance between consecutive peaks)C = phase shift (horizontal shift - positive is to the left)D = vertical shift

Given:

Amplitude = 2  ⇒  A = 2[tex]\sf Period=\pi \implies \dfrac{2 \pi}{B}=\pi \implies B=2[/tex]mid-line = 5  ⇒  D = 5

Inputting the given values into the standard form:

[tex]\implies f(x)=2 \cos (2x)+5[/tex]

Graph the linear equation y=2/3x-5

Answers

Answer:

As the given equation is a linear equation, to graph it, we simply need to calculate two points on the line, plot these points, then draw a straight line through them.

Given equation:

[tex]y=\dfrac{2}{3}x-5[/tex]

Calculating two points on the line:

[tex]\textsf{when }\: x=0 \implies \dfrac{2}{3}(0)-5=-5 \implies (0,-5)[/tex]

[tex]\textsf{when }\: x=6 \implies \dfrac{2}{3}(6)-5=-1 \implies (6,-1)[/tex]

Plot these points and draw a straight line through them (attached).

A triangle has sides with lengths of 8 kilometers, 11 kilometers, and 12 kilometers. Is it a
right triangle?
yes
no

Answers

Answer: No

The angles equal 76.592, 40.415, 63.056. Use Law of Cosines to find angles.
Answer: no

Please look at the picture for the explanation. :)

Is kilobyte bigger than megabyte.

Answers

Answer:

no

Step-by-step explanation:

1 kilobyte = 1000 byte

1 megabyte = 1,000,000 byte

1 kilobyte = 1/1000 megabyte

Answer: no

Answer:

NO!!!! Kilobyte isn't BIGGER than Megabyte

Step-by-step explanation:

Here's the table:

1 Kilobyte = 1,024 Bytes

1 Megabyte = 1,024 Kilobytes

1 Gigabyte = 1,024 Megabytes

1 Terabyte = 1,024 Gigabytes

From the table, we can see that Megabyte is bigger than Kilobyte

Can someone help me with this question?

A bag contains 12 movie tickets and 8 concert tickets. You randomly choose 1 ticket and do not replace it. Then you randomly choose another ticket. Find the probability that both events A and B will occur. Round your answer to the nearest tenth.

Event A: The first ticket is a concert ticket.

Event B: The second ticket is a concert ticket.

about ___%.

Answers

To solve this problem, we have to understand probability without replacement and consider the two events happening. The probability that both events occurs is 14%

Probability without replacement

To solve this problem, let's write down the data given;

Data;

Movie Ticket = 12Concert Ticket = 8

But we are asked to calculate the probability that both times we pick both tickets, it would be a concert ticket.

Total number of tickets =

[tex]12 + 8 = 20[/tex]

Let's proceed for the first event

[tex]P = \frac{8}{20}= \frac{2}{5}[/tex]

The probability the second event occurs will be

[tex]P = \frac{7}{20}[/tex]

The probability both events occur will be

[tex]P = P_a * P_b = \frac{2}{5} * \frac{7}{20} = \frac{7}{50} =0.14 = 14\%[/tex]

The probability that both events occurs is 14%

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PLEASE HELP ANSWERING THE QUESTIONS ILL GIVE BRAINLIEST OR WHATEVER

Answers

Answer:answer to 9:$1,025.00 answer to 10:$243.90 answer to 11:$1,025.15

Step-by-step explanation:

explanation to 9:First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year.

Solving our equation:

A = 500(1 + (0.07 × 15)) = 1025

A = $1,025.00

The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 7% per year for 15 years is $1,025.00.explanation to 10:First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year.

Solving our equation:

P = 500 / ( 1 + (0.07 × 15)) = 243.90243902439

P = $243.90

The principal investment required to get a total amount, principal plus interest, of $500.00 from simple interest at a rate of 7% per year for 15 years is $243.90. explantion to 11:First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year.

Solving our equation:

A = 500(1 + (0.07 × 15)) = 1025

A = $1,025.00

The total amount accrued, principal plus interest, from simple interest on a principal of $500.00 at a rate of 7% per year for 15 years is $1,025.25.

A cone has a volume of 471cm. If the radius of the cone's base is 5cm what is the height of the
cone? (Round to the tenths place.)
(use 3.14)

Answers

Answer: the height is 18 cm.

Step-by-step explanation:

The equation for the volume of a cone is the following: V = 1/3 × B × h, where B (base) = πr². Because we are given the radius of the base, but not the base’s area itself, we will use V = 1/3πr²h.


Here, we are trying to solve for h, the height, so first we can first rearrange the equation to solve for h:

1) V = 1/3πr²h

2) h = V ÷ 1/3πr² (divide both sides by 1/3πr²h)


Now, we just need to input the given values: V = 471, π = 3.14, r = 5

h = 471 ÷ 1/3(3.14)(5²)

= 471 ÷ 1/3(3.14)(25)

= 471 ÷ 1/3(78.5)

= 471 ÷ (78.5/3)

= 18 cm

Answer This Question For 5 Pts!

Answers

Hello!

First we should figure out what 7 x 800 is.

7x800 is 5,600.

Next, start step 1.

7 x 8 is already 56, so you would multiply 1 in the box

(7x8x1)

Second, step 2.

56 x 100 is 5,600, so you would put 100 in the box.

(56x100)

Finally, step 3.

Put your total in the box

(TOTAL: 5,600)

Hope this helps!

~~~PicklePoppers~~~

Factor using the greatest common factor.
6x^4 + 15x^2 + 24x

show work.

Answers

Answer: [tex]3x(2x^{3} + 5x + 8)[/tex]

Step-by-step explanation:

[tex]6x^{4} + 15x^{2} + 24x[/tex]

[tex]3x(2x^{3} + 5x + 8)[/tex]

The factored expression is 3x(2x³ + 5x + 8).

To factor the expression 6x⁴ + 15x² + 24x using the greatest common factor (GCF), we first need to identify the common terms or factors that can be factored out from each term.

Step 1: Find the GCF of the coefficients (numbers).

The GCF of 6, 15, and 24 is 3.

Step 2: Find the GCF of the variables (x terms).

The GCF of x⁴, x², and x is x.

Step 3: Combine the GCF of the coefficients and variables.

The GCF of the entire expression is 3x.

Now, factor out 3x from each term:

3x * (2x³ + 5x + 8)

The factored expression is 3x(2x³ + 5x + 8).

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What shape does the net form

Answers

Answer:

The correct answer is cone.

Step-by-step explanation:

Hope this helps:) Goodluck!

What is a diameter and what is a radius?

Answers

Radius is the length of the line segment from the center of the circle to an endpoint on the circle and diameter is twice the length of the radius of the circle.

A radius is where a segment from the center to the circle.
A diameter is a segment passing through side to side through the center.
- The radius is going to be HALF of what the diameter is.

First one to answer, i will mark brainlist

Answers

Answer:

Sides in descending order:  YZ > ZX > XY

Step-by-step explanation:

Sum of all angles of triangle = 180

    104 +52 +  ∠Z = 180

            156 + ∠Z = 180

                      ∠Z = 180 - 156

                      Z = 24

The sides opposite to the biggest is the longest side.

Angles in descending order: ∠X  >  ∠Y >  ∠Z

Sides in descending order:  YZ > ZX > XY

Find another angle

m<Z

180-(104+52)180-15624°

We know higher the angle measure higher the opposite side and vice-versa

Here

X>Y>Z

Hence

YZ>XZ>XY

quanto é 756 dividido por 63

Answers

Answer:

the answer is 12

Step-by-step explanation:

[tex] \frac{756}{63} \\ = 12[/tex]

can someone help me?


2x-3y= -1
y=x-1

Answers

x=4 & y=3

Explanation:

Picture

i just need the edges, correct answer gets brainliest

Answers

Answer:

28

Step-by-step explanation:

counting all the lines pretty much

Answer:

its 8x3 for edges so 24 and its 8x2 for vercicles its 16 but for the faces its 8+2 = 10 so you are chillin :)

In the set of scores: 14, 17, 10, 22, 19, 24, 8, 12, and 19, the Q2 is?


15
17
16
13

Answers

Answer:

17

Step 1: rerrange the data

8 , 10, 12, 14, 17, 19, 19, 22, 24

Q2 is the median
see that the middle number is 17

HELP PLEASE. PLEASE DRAW AN EXAMPLE OF ANSWER 100 points !!!

Answers

As all sides are equal it's equitorual hexagon

An inscribed hexagon is best fit for construction

Steps

Draw a circle of radius rPut compass and take radius measure.Draw one. mark then draw 6 marks on circle one after other of measure r Connect 6 marks .

Done ! We created

you can erase the circle later on

Answer:

Attachment 1

Take a compass and adjust it so that it is the width of line r.

Place the point of the compass on the left point of line r and draw a circle going through the right point of line r with radius r.

Attachment 2

Take a ruler, place it so it is against line r and extend the line r across the width of the circle (this is the diameter of the circle).

Attachment 3

Place the point of the compass on the right point of line r and draw a circle (blue circle).

Place the point of the compass on the left of the diameter and draw a circle (orange circle)

Attachment 4

The points of intersection of the 3 circles are the vertices of the hexagon.  

Attachment 5

Join the points of intersection with line segments - this is your hexagon with sides equal to r.

(If necessary, erase the circles to show the hexagon only.)

GUYS HELP ME IM FAILING GEOMETRY AND I NEED HELP pleaseee I need help with both please I’m begging

Answers

Step-by-step explanation:

Here is the solution hope it helps:)

Naeema and Giovanna want to see who can run farther in 5 seconds. Naeema ran 9 yards and 8 inches. Giovanna ran 30 feet. Who ran farther? How much farther did they run?

Answers

Answer:

giovanna ran farther because naeema ran 9 yards and 8 inches and 9 yards is 27 feet so she ran 27 ft 8 in therefore giovanna ran farther

Step-by-step explanation:

30>27

The solution (-4,0) is a solution to which of the following equations? How do you know?
a)3y-x=4
b)10x+1/2y=3
c)-2x-3y=-4
d)-6x+2y=24

Answers

Answer:

Correct option is A)

If the solutions to the equations are 8 and −4, the factored form of the equation is : (x−8)(x+4)=0

Use FOIL to find the quadratic form: x

2

−4x−32=0. Therefore, the correct equation is (A)

Step-by-step explanation:

What do you think?

Don't forget to follow narin ty

use the method of elimination to find the equation of the line in y=mx+b form, that passes through each set of points (3,10) and (5,18)

Answers

Answer:

The answer is y=4x-2

Step-by-step explanation:


5-16 find the general indefinite integral.
8. [tex]\int\left(u^{6}-2 u^{5}-u^{3}+\frac{2}{7}\right) d u[/tex]

Answers

[tex]\displaystyle\int \left( u^6 - 2u^5 - u^3 + \cfrac{2}{7} \right)du\implies \cfrac{u^7}{7}-2\cdot \cfrac{u^6}{6}-\cfrac{u^4}{4}+\cfrac{2}{7}u \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \cfrac{u^7}{7}- \cfrac{u^6}{3}-\cfrac{u^4}{4}+\cfrac{2u}{7}+C~\hfill[/tex]

Verify (x-2) is a factor
of Q(x)=x²-3x²-4x+12

Answers

Answer:

(x - 2) is not a factor of Q(x)

Step-by-step explanation:

if (x - h) is a factor pf f(x) then f(h) = 0

if (x - 2) is a factor of Q(x) then Q(2) = 0

Q(2) = 2² - 3(2)² - 4(2) + 12

       = 4 - 3(4) - 8 + 12

       = 4 - 12 + 4

       = - 8 + 4

       = - 4

since Q(2) ≠ 0 then (x - 2) is not a factor of Q(x)

However , if the polynomial was meant to be

Q(x) = x³ - 3x² - 4x + 12 , then

Q(2) = 2³ - 3(2)² - 4(2) + 12

       = 8 - 12 - 8 + 12

       = 0

then (x - 2) is a factor of Q(x) = x³ - 3x² - 4x + 12

Pls help with this thx

Answers

1. 55
2. N/A - Sorry. I can’t see the numbers properly.
3. 180
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