help pls
14 numbers are written in a row so that the sum of any three consecutive numbers is
19, and the sum of all the numbers is 77. Find the 9th number.

Answers

Answer 1

The series of numbers that meets the requirements is 5+6+8+9+4+6+7+3+9+2+8+9+1.

How to check that the series meets the requirements?

To verify that the series meets the requirements, we must establish what the requirements are:

Every 3 consecutive numbers must add up to 19.In total there must be 14 numbers.The total sum of all the numbers must be 77.

To verify that every 3 consecutive numbers add up to 19, we separate them into 4 groups of 3 and one number is left over.

5 + 6 + 8 = 199 + 4 + 6 = 197 + 3 + 9 = 192 + 8 + 9 = 19

In total there must be 14 numbers and they must add up to 77.

5+6+8+9+4+6+7+3+9+2+8+9+1 = 77

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Related Questions

Aaron took his car to the shop for an oil change. He dropped the car off at 2:34. Aaron came back to pick up his car 1 hour and 43 minutes later. What time was it when he picked up the car?

A.8:43
B.4:37
C.4:17
D.4:27

Answers

Answer:

c

Step-by-step explanation:

2.34 to 3.34 is 1hr

3.34 plus half an hour is 4.04 plus 13 mins

I'll give brainiest to the first person to respond BUT only if the answer is correct

Answers

Answer:

115 and 1/2

Step-by-step explanation:

B•W•H

Hope this helps! ;-)

Thanks for correcting my mistake!!!

Answer:  The answer is 115 1/2

Explanation: Just multiply all the dimensions

The scatterplot represents the total fee for hours renting a bike. The line of best fit for the data is y = 6.855x + 10.215.

A graph shows hours of rental labeled 2 to 6 on the horizontal axis and cost in dollars on the vertical axis. A line increases from 0 to 6.

Which table shows the correct residual values for the data set?

A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, 1.22, 1.315, negative 1.99.
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries 2.12, negative 1.575, negative 1.22, negative 1.315, 1.99.
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries 2.12, negative 1.575, 1.22, negative 1.315, 1.99.
A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5. The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, negative 1.22, 1.315, negative 1.99.

Answers

The table shows the correct residual values for the data set regarding the scatterplot is D. A 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5.

What is a scatterplot?

It should be noted that a scatterplot simply means a type of data display which shows the relationship between the variables.

In this case, the table shows the correct residual values for the data set regarding the scatterplot is a 3-column table with 5 rows. The first column is labeled x with entries 1, 2, 3, 4, 5.

The second column is labeled given with entries 14.95, 25.50, 32, 38.95, 42.50. The third column is labeled residual value with entries negative 2.12, 1.575, negative 1.22, 1.315, negative 1.99.

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At the beach, nardia collected triple the number of seashells that pierre did. together, they collected 52 seashells. which equations represents p, the number of seashells that pierre collected. 3 p p = 52 3 p = 52 52 p = 3 p 52 p = 3

Answers

The equation that represents p, the number of seashells that Pierre collected is 3p + p = 52

Writing a system of equation

From the question, we are to determine the equation which represents p

From the given information,

Nardia collected triple the number of seashells that Pierre did

If Pierre collected p number of seashells

Then,

Nardia collected 3p number of seashells

Also, from the given information,

They collected 52 seashells in total

That is,

3p + p = 52

Hence, the equation that represents p, the number of seashells that Pierre collected is 3p + p = 52.

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Darcy gave her hair hairstyles a $4.90 tip the tip was 7% of the cost of the haircut Write an equation to find​ b, the cost of the haircut

Answers

Answer: $70

Step-by-Step Explanation:

Let the total cost of haircut be ‘x’

Therefore, 4.9/x * 100 = 7
= 4.9 * 100 = 7 * x
= 4.9 * 100/7 = x

Therefore,
x = 490/7
= 70

Hence, the Total cost of the Haircut would be ‘x’ ie. 70$.

The lifespan of a pair of shoes is normally distributed with a mean of
24 months and a standard deviation of 6 months. what is the
probability that a new pair of shoes won't last longer than 18 months?
a)8%
b)50%
c)23%
d)16%
e)34%

Answers

a)8% is the right answer

What is the slope of the line that passes through the points (-8, 6) and (-8, 2)?
Write your answer in simplest form.

Answers

Answer: Undefined or Vertical Slope.

2. a science museum has a spherical model of the moon with a diameter of 6.4 ft. what is the volume of the model to the nearest cubic foot? show your work.

Answers

The volume of the model to the nearest cubic foot is 137 ft³

Volume of a sphere

Volume of a sphere = 4/3πr³

π = 3.14Diameter = 6.4 ft

Radius, r = diameter / 2

= 6.4 ft / 2

= 3.2 ft

Volume of a sphere = 4/3πr³

= 4/3 × 3.14 × 3.2³

= 4/3 × 3.14 × 32.768

= 411.56608 / 3

= 137.188693333333

Approximately,

Volume of the sphere = 137 ft³

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how would I solve y=9(x+3)(x-1) I need to find the vertex and the X intercepts​

Answers

Answer:

See below ~

Step-by-step explanation:

Finding the x-intercepts :

The x-intercept's y-value is always 00 = 9(x + 3)(x - 1)x + 3 = 0 ⇒ x = -3x - 1 = 0 ⇒ x = 1So, hence the x-intercepts are : (-3, 0) and (1, 0)

Finding the vertex :

Expand the polynomial from factorized formy = 9(x + 3)(x - 1)y = 9(x² + 3x - x - 3)y = 9(x² + 2x - 3)y = 9x² + 18x - 27Vertex = (h, k)h = -b/2a = -18/2(9) = -1k = 9(-1 + 3)(-1 - 1)k = 9(2)(-2)k = 9(-4) = -36Vertex = (-1, -36)

Answer:

x-intercepts:  x = 1 and x = -3

vertex:  (-1, -36)

Step-by-step explanation:

x-intercepts

x-intercepts are when y = 0

⇒  9(x + 3)(x - 1) = 0

Divide both sides by 9:

⇒  (x + 3)(x - 1) = 0

Therefore:

⇒  (x + 3) = 0 ⇒ x = -3

⇒  (x - 1) = 0 ⇒ x = 1

Therefore the x-intercepts are x = 1 and x = -3

Vertex

Vertex form:  [tex]y=a(x-h)^2+k[/tex]  where (h, k) is the vertex

Completing the square

[tex]\begin{aligned}y & =ax^2+bx+c\\& =a\left(x^2+\dfrac{b}{a}x\right)+c\\\\& =a\left(x^2+\dfrac{b}{a}x+\left(\dfrac{b}{2a}\right)^2\right)+c-a\left(\dfrac{b}{2a}\right)^2\\\\& =a\left(x-\left(-\dfrac{b}{2a}\right)\right)^2+c-\dfrac{b^2}{4a}\end{aligned}[/tex]

Therefore:

[tex]y=9(x+3)(x-1)[/tex]

[tex]\implies y=9x^2+18x-27[/tex]

Completing the square to rewrite the equation in vertex form:

[tex]\begin{aligned}y & =9x^2+18x-27\\& =9\left(x^2+\dfrac{18}{9}x\right)-27\\\\& =a\left(x^2+\dfrac{18}{9}x+\left(\dfrac{18}{2(9)}\right)^2\right)-27-9\left(\dfrac{18}{2(9)}\right)^2\\\\& =9\left(x-\left(-\dfrac{18}{2(9)}\right)\right)^2-27-\dfrac{18^2}{4(9)}\\\\& =9(x+1)^2-36\end{aligned}[/tex]

Therefore, the vertex is (-1, -36)

The number of cable TV systems recently decreased from 20, 000 to 8.500 Find the percent of decrease Round to the nearest tenth of a percent.

A: 8.1%
B: 12.5%
C: 75%
D: 81.1%

Answers

Answer:

B: 12.5%

Step-by-step explanation:

You take the 20.000- 8.500 the number decreased with= 11.5.

You then round of your answer to the nearest 10th, the number 11,5 will change to 12,50.

A student gives the answer to a probability problem as 6/5. tell why this answer must be incorrect.

Answers

Answer:

Probability of an event must be from 0 to 1.

Here,6/5 is more than 1 i.e. 1.2.

Hence,the answer is incorrect.

Joseph built a sandbox in his backyard that is 2 meters wide, 4 meters long, and 2 meters tall. What volume of sand does he need to completely fill the sandbox?

A) 20 cubic meters

B) 16 cubic meters

C) 8 cubic meters

D) 12 cubic meters

Answers

Answer: B) 16 cubic meters

Step-by-step explanation:

To find the volume of a rectangular prism like this sandbox, multiply the length, height, and width together. 2*2*4 = 16.

Answer:

the answer would be 16 cubic meter because l*w*t which is because l*w*t which is 4*2*2

Find the median and mean of the data set below:
3,40,15,28
3,40,15,28

Answers

Answer:

21.5

Step-by-step explanation:

Median: List all numbers in order, then find the two in the middle and average them so 3 15 28 40 and then do 15+28=43 then divide by 2 = 21.5

Mean: Average all of them so 3+15+28+40=86 divided by 4 = 21.5

Solve the equation, -(X/ d )=5 , for x . Which of the following properties of equality did you apply

Answers

Answer:

Multiplication

The solution of given equation x = -20

Step-by-step explanation:

step (i) :-

given equation = -(x/4) = 5

multiply '1' on both sides we get

[tex] = - (( - \frac{x}{4} )) = - 5[/tex]

[tex] = \frac{x}{4} = - 5[/tex]

step (ii) :-

multiply '4' on both sides we get

[tex] = \: \: \: \: \: \frac{x}{4} \: \: \times \: 4 \: \: = - 5 \times 4[/tex]

Cancellation '4' on left side we get

x = -20

conclusion:-

The solution of given equation x = -20

Quadrilateral CDEF is similar to quadrilateral GHIJ. Find the measure of side JG.
Round your answer to the nearest tenth if necessary.

Answers

Answer: 30.5

Step-by-step explanation:

How many variables are displayed in a scatterplot?

A. one along the x-axis, and one along the y-axis

B. one along the x-axis, and two along the y-axis

C. two along the x-axis, and one along the y-axis

D. two along the x-axis, and two along the y-axis

Answers

Answer:

  A. one along the x-axis, and one along the y-axis

Step-by-step explanation:

For any kind of a plot, one variable is displayed along each axis.

__

A scatter plot has variables displayed one along the x-axis, and one along the y-axis.

Answer:

A. one along the x-axis, and one along the y-axis

Step-by-step explanation:

Edge 2023

The volume of an aquarium is 4,000 cubic feet and has a height of 10 ft. if a similar aquarium has a height of 1 foot, how many cubic feet would the smaller aquarium hold

Answers

The volume that the similar aquarium will hold is 400 cubic feet

Similar figures

Similar figures are figures that have similar angles and sides.

Given the following parameters

volume of aquarium = 4000 cubic feetheight of aquarium = 10feetheight of similar aquarium = 1 feet

Required

Volume of similar aquarium

Substitute into the formula

V/H = v/h

4000/10 = v/1

400 = v

v = 400 cubic feet

Hence the volume that the similar aquarium will hold is 400 cubic feet

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The flight path of a rocket, launched from the ground, is modeled by y = 0.5(20x – x2), where y is the height of the rocket in feet from the ground and x is the time in seconds after it was launched. Find the vertex of the parabola and explain what it represents in terms of the context.

a. (20, 0); rocket lands at 0 feet after 20 seconds
b. (10, 50); rocket reaches maximum height of 50 feet after 10 seconds
c. (10, 50); rocket reaches maximum height of 10 feet after 50 seconds
d. (20, 0); rocket reaches 20 feet after 0 seconds

Answers

Answer: B. (10, 50)

Step-by-step explanation:

y = 0.5(20x - [tex]x^{2}[/tex])

[tex]y=-\frac{1}{2} x^{2} + 10x[/tex]

to find x coord of vertex use the equation

[tex]\frac{-b}{2a}[/tex]

[tex]x=\frac{-10}{-1} \\\\x=10[/tex]

plug in x to the original equation

y = 0.5(20(10) - [tex](10)^{2}[/tex]

y = 0.5(100)

y = 50

Answer: (10, 50)

solve 3y= x+1 and 2y= x

Answers

Answer:

(2, 1 )

Step-by-step explanation:

3y = x + 1 → (1)

2y = x → (2)

substitute 2y = x into (1)

3y = 2y + 1 ( subtract 2y from both sides )

y = 1

substitute y = 1 into either of the 2 equations and solve for x

substituting into (2)

2(1) = x

2 = x

solution is (2, 1 )

Answer:

{y,x} = {-1,-2}

Step-by-step explanation:

2y = - 2

  [2]    y = - 1

// Plug this in for variable  y  in equation [1]

  [1]    3•(-1) - x = -1

  [1]     - x = 2

// Solve equation [1] for the variable  x

  [1]    x = - 2

// By now we know this much :

   y = -1

   x = -2

{y,x} = {-1,-2}

hope this helps

pls mark brainliest

What is the area of the composite figure?

500

490.62

245.31

745.31

Answers

Answer:

745.31

Step-by-step explanation:

20x25=500

(2(12.5)pie)/2=245.435

245.435+500=745.31

Bag contains fewer than 90 lollipops it is possible to evenly divide all of the lollipops among 2, or 6, or 7 children. how many lollipops are in the bag? list all possible answers

Answers

Answer:

Step-by-step explanation:
It says the bag contains less than 90 lollipops. If you find an equation that's the closest yet under 90, it would be. …

88 ÷ 2 = 44 per each child

84 ÷ 6 = 14 per each child

84 ÷ 7 = 12 per each child

Because your also making sure to "evenly divide all of the lollipops among 2, or 6, or 7 children."

Find the area of a trapezoid with bases of 10 inches and a height of 5 inches?

Answers

Answer:

50in^2

Step-by-step explanation:

[tex]A=\frac{a+b}{2}(h)\\ \frac{10+10}{2}(5)[/tex]

if a = 5+2√6 then find a²-1÷a²

Answers

Answer:

a²+1/a² = 7

Step-by-step explanation:

Given, a = (3+√5)/2

We have to find the value of a² + 1/a².

1/a = 1/((3+√5)/2) = 2/(3+√5)

By taking conjugate,

2/(3+√5) = 2/(3+√5) × (3-√5)/(3-√5)

= 2(3-√5) / (3+√5)(3-√5)

By using algebraic identity,

(a - b)(a + b) = a² - b²

(3+√5)(3-√5) = (3)² - (√5)²

= 9 - 5

= 4

2(3-√5) / (3+√5)(3-√5) = 2(3-√5) / 4

So, 1/a = (3-√5)/2

Now, a² = [(3+√5)/2]²

= (3+√5)²/4

By using algebraic identity,

(a + b)² = a² + 2ab + b²

(3+√5)² = (3)² + 2(3)(√5) + (√5)²

= 9 + 6√5 + 5

= 14 + 6√5

a² = (14+6√5)/4

= 2(7+3√5)/4

a² = (7+3√5)/2

Now, 1/a² = [(3-√5)/2]²

= (3-√5)²/4

By using algebraic identity,

(a - b)² = a² - 2ab + b²

(3-√5)² = (3)² - 2(3)(√5) + (√5)²

= 9 - 6√5 + 5

= 14 - 6√5

1/a² = (14-6√5)/4

1/a² = (7-3√5)/2

a²+1/a² = (7+3√5)/2 + (7-3√5)/2

= 7/2 + 3√5/2 + 7/2 - 3√5/2

= 7/2 + 7/2

= 7

Therefore, a²+1/a² = 7

Fill in the blank with a whole number.
√√3+2√2-√√3-2√2
||

Answers

Answer:

^2x2√3+2x√2-^2x2√3-2x√2

Step-by-step explanation:

The sales tax rate is 10%. If Matt buys a computer keyboard priced at $34, how much tax
will he pay?

Answers

He will pay $3.50 and in total $38.50 because 10x35 is 350 and when you divide by 100 you get 3.5 which can also be 3.50

Answer:

$3.40

Step-by-step explanation:

10% of $34

= [tex]\frac{10}{100}[/tex] × $34

= 0.1 × $34

=$3.40

The table below shows the hours the restaurant is open each week.
Monday through Friday 10 A.M.-7 P.M.
Saturday and Sunday 9:30 AM.-8 P.M.
How many hours is the restaurant open each week?

Answers

Answer:

66 hours

Step-by-step explanation:

Monday through Friday is 45 hours

and Saturday and Sunday is 21 hours

Gabriella is playing a board game. The
probability that Gabriella will lose a turn on
her next turn is 0%. Which word or phrase
describes the probability that Gabriella will
lose a turn?

Answers

Answer:

Impossible.

Step-by-step explanation:

I learned that you can use the word impossible during one of my math classes, so I chose the word impossible since she cannot lose a turn on her next turn.

(Express the answer as dollar.cents)

Answers

Answer:

$46.20

Step-by-step explanation:

Do 8.80 times 7 to get 61.6 then divide by four to get 15.40 then subtract it by 61.6 to get 46.20

Which expression is equivalent to the given expression
In(2e/x)

Answers

Answer:

option C is the best answer

Step-by-step explanation:

Answer:

1 + ln 2 - ln x

Step-by-step explanation:

Plato/Edmentum

Belinda is putting 496 fish into 8 different aquariums. The same number of fish will be put into each one. How many fish will be in each​ aquarium?

Answers

Answer:

62

Step-by-step explanation:

all you do for this is take 496 and divide it by 8, which gives you 62, if you still need help explain I can reply with a step by step of showing how to divide

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