Juan examines the sequence 1, 3, 4, 7, 11, . . . and draws the conclusion that the next number in the sequence is 18. Which statements regarding the situation are accurate? Check all that apply.

Juan used inductive reasoning.
Juan's conclusion is a conjecture.
Juan's conclusion is not possible.
Juan's conclusion is a counterexample.
Juan based his conclusion on patterns.

Answers

Answer 1

Answer:

Juan conclusion is counterexample

Answer 2

Answer:

1, 2, and 5

Step-by-step explanation:


Related Questions

An Actor invest some money at 6% and $41000 more than twice the amount at 9% the total annual interest earned from the investment is $32490 how much did he invest at each amount use the 6 step method

Answers

Answer: he invested $120000 at 6% and $281000 at 9%

Step-by-step explanation:

Let x represent the amount invested at 6%

Let y represent the amount invested at 9%

The Actor invest some money at 6% and $41000 more than twice the amount at 9%. This means that

y = 2x + 41000- - - - - - - - - 1

The interest gotten from x is

6/100 × x = 0.06x

The interest gotten from y is

9/100 × y = 0.09y

The total annual interest earned from the investment is $32490. It means that

0.06x + 0.09y = 32490- - - - - - - - -2

Substituting equation 1 into equation 2, it becomes

0.06x + 0.09(2x + 41000) = 32490

0.06x + 0.18x + 3690 = 32490

0.06x + 0.18x = 32490 - 3690

0.24x = 28800

x = 28800/0.24

x = 120000

Substituting x = 120000 into equation 1, it becomes

y = 2(120000) + 41000

y = 281000

Carrie had $60. as an allowance for the week. She spent 2/5 of it on snacks, and 1/4 on stickets and saved the remainder. How much money did she save?​

Answers

Answer:

$ 21

Step-by-step explanation:

Money spent = (2/5) * 60 + (1/4) * 60

                      = 2*12 + 1*15

                      = 24 + 15

                      = $ 39

Money save = 60 - 39 = $ 21

What's the answer?I need help!

Answers

Answer:

(-1,1)

Step-by-step explanation:

The solution to the system of equations is where the two lines cross

They cross at x=-1 y=1

(-1,1)

Answer:

The answer is (-1,1)

Step-by-step explanation:

First of all, you can see where the two lines intersect.

Also, if there was no graph, then you could solve by substitution:

1. Substitute y from y = 2x + 3 to -x

2. Then simplify

-x = 2x + 3

subtract 2x from each side

-3x = 3

divide -3 from each side

x = -1

3. To solve for the value of y, you can plug -1 for x and solve.

y = -(-1)

y = 1

Whats the number in the box?

Answers

Answer:

It is 3.

Step-by-step explanation:

By looking at the sentences, you can translate the sentences to equations.

The sum of two numbers is 90, so this involves addition because the sum is the answer of an addition problem. x+y=90.

x is the larger number

y is the smaller number

The larger number is 14 more than or addition sign 3 times or multiplying the smaller number (y).

The equation would be x=14+3y because it is 3 times the smaller number.

Hope this helps!

dentify the property used in this equation: 3 + [7 + (–4)] = (3 + 7) + (– 4) Evaluate the expression above.

Answers

Answer:

associative property with respect to addition and subtraction

3+[7+(-4)]=(3+7)+(-4)

3+[7-4]=10+(-4)

3+3=10-4

6=6

Step-by-step explanation:

i hope it will help you

(10 points) Joe’s parents bought him a new car for his birthday. They paid $6990 for a car that was originally priced at $7599. What percent of the original price did they pay?

[A] Set up a proportion that can be used to solve this problem.

[B] Show all steps to solve the problem.


HELP: Please and thank you!

Answers

Answer:

91.99%

Step-by-step explanation:

To find what percentage of $7599 is $6990, we simply need to divide $7599 by $6990 and multiply by 100:

6990 / 7599 * 100 = 91.99%

Therefore, they paid 91.99% of the original price.

1. Jayden spent $46.20 on 12 gallons of gasoline. What was the price per gallon? 2. Jayla buys 1.2 pounds of bananas. The bananas cost $1.29 per pound. To the nearest cent, how much does Jayla pay for the bananas? 3. Billy ate 1/4 of a pizza, and Wi ate 1/3 of the same pizza. How much of the Pizza did they eat in all?

Answers

Answer:

1. $3.85 per gallon

2. $1.59

3. 7/12

Step-by-step explanation:

1. Jayden spent $46.20 on 12 gallons of gasoline. The price per gallon can be gotten by dividing the total price paid by the total number of gallons bought:

46.20 / 12 = $3.85 per gallon

The price per gallon is $3.85

2. Jayla buys 1.2 pounds of bananas and they cost $1.29 per pound. The total amount paid for the bananas is:

1.2 * 1.29 = $1.59

3. Billy ate 1/4 of a pizza, and Wi ate 1/3 of the same pizza. The total fraction of the pizza ate is:

1/4 + 1/3 = 7/12

They ate 7/12 of the pizza

The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. The amount collected can be modeled by the equation 5 x plus 10 y equals 800, where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total? 55 60 130 150

Answers

Answer:

150

Step-by-step explanation:

Step 1: Plug in what we know

5x + 10(5) = 800

Step 2: Solve for x (smaller cars)

5x + 50 = 800

5x = 750

x = 150

Answer:

150

Step-by-step explanation:

:)

Find the sum of (-4 + 1) and (10-51).

Answers

Answer:

-44

Step-by-step explanation:

(-4+1)+(10-51)

-4+1+10-51

-3-41

-44

Simplify √63x10y15 to the form a√b.

Answers

Answer:

49

Step-by-step explanation:

Add then subtract

2(x + 4) + 2x + 3 = 3x + 16
what does x eqaul​

Answers

Answer:

x=5

Step-by-step explanation:

2(x+4)+2x+3=3x+16

One solution was found :

                  x = 5

Answer:

2x+8+2x+3=3x+16=

2x+2x-3x=-8-3+16=

4x-3x=-11+16=

x=5

What is the average rate of change between:
x= 1 and x = 2?
x = 2 and x = 3?
x = 3 and x = 4?

Answers

Answer: See bolded below

Step-by-step explanation:

Average rate of change is the slope. To find that, we would need the equation [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].

Reminder: The scale fo the graph goes by 2. You need to make sure you are looking at the right coordinates.

1. The coordinate points are (1, 2) and (2, 4).

[tex]m=\frac{4-2}{2-1}=\frac{2}{1} =2[/tex]

The average rate of change is 2.

2. The coordinate points are (2, 4) and (3, 8).

[tex]m=\frac{8-4}{3-2} =\frac{4}{1} =4[/tex]

The average rate of change is 4.

3. The coordinates are (3, 8) and (4, 16).

[tex]m=\frac{16-8}{4-3} =\frac{8}{1} =8[/tex]

The average rate of change is 8.

Find the sum of the interior angles of a polygon that has 9 sides?

Answers

Answer: (9 - 2) ⋅ 180 ° = 7 ⋅ 180 ° = 126 0 °

Step-by-step explanation:

A triangular flag has a height of 16 inches and a base of 24 inches. Which formula represents how to find the area of the triangle?

Answers

Answer:

A=(1/2)(b)(h)

Step-by-step explanation:

The area of a triangle is 1/2(b)(h), so in this case, A=(1/2)(24)(16)=192

2x - y - 4-0
3x + y - 9=0
What is the solution set of the given system?
Of(5,5)
[(5, 6)) [/13/5, 6/5) [[6/5, 13/5))

Answers

Answer:

([tex]\frac{13}{5}[/tex] , [tex]\frac{6}{5}[/tex] )

Step-by-step explanation:

Given the 2 equations

2x - y - 4 = 0 → (1)

3x + y - 9 = 0 → (2)

Adding the 2 equations term by term will eliminate the term in y, thus

5x - 13 = 0 ( add 13 to both sides )

5x = 13 ( divide both sides by 5 )

x = [tex]\frac{13}{5}[/tex]

Substitute this value into either of the 2 equations and evaluate for y

Substituting into (2)

[tex]\frac{39}{5}[/tex] + y - 9 = 0

- [tex]\frac{6}{5}[/tex] + y = 0 ( add [tex]\frac{6}{5}[/tex] to both sides )

y = [tex]\frac{6}{5}[/tex]

Solution is

([tex]\frac{13}{5}[/tex] , [tex]\frac{6}{5}[/tex] )

please help with this slope question fast

Answers

Answer:

B. x-intercept = 2, y-intercept = 4

Step-by-step explanation:

→The y-intercept can be found on the vertical line, while the x-intercept can be found on the horizontal line.

→Looking at the graph, you can see that the line intersects at a point on the vertical line (y-intercept), and this number is 4.

→Looking at the graph, you can see that the line intersects at a point on the horizontal line (x-intercept), and this number is 2.

h(t) = -t + 3; Find h(-5)

Answers

Answer:

8

Step-by-step explanation:

h(t) = -t + 3;

h(-5)

Let t = -5

h(-5) = - -5 +3

       = 5+3

       = 8

Answer:

8

Step-by-step explanation:

h(t) = -t + 3

Put t as -5 in the function.

h(-5) = -(-5) + 3

The negative signs cancel.

h(-5) = 5 + 3

Add both the terms.

h(-5) = 8

Dina distributed 120 marbles to three of her friends. Raghu received one-fourth of the marbles. Freya received one - third of the REMAINING marbles. Bineet got half of the REMAINING marbles. Who got the MOST number of marbles?

Answers

They all got the same amount, each person got 30 marbles.

120 divided by 4 = 30.
Raghu received 30.
90 remaining,
90 divided by 3 = 30
Frey’s received 30
There are 60 remaining, Bineet got half of the remaining so he now has 30 as well.

**DUE IN 20 MINS, PLZZZ HELP**

5 dices are thrown simultaneously. What is the probability of getting two sixes?

+Thank you!

Answers

So each got 1/6 chance to get an 6 and chance for two of them get a six and the same time is 1/6^2=1/36.

15% of 20 is what number?

Answers

Answer:

Brainliest plz

Step-by-step explanation:

20 x 15%

is equal too...

20 x 0.15

and that is equal to

...

3

Brainliest question please help me answer my question please

Answers

Answer:

A) inside the circle

Step-by-step explanation:

equation of the circle is:

[tex](x-a)^{2} + (y-b)^{2} = r^{2}[/tex]

where (a,b) is center of the circle and r is radius so

[tex]x^{2} + y^{2} = r^{2}[/tex] now plug in given point to find the radius

[tex](6)^{2} + (-4)^{2} = r^{2}[/tex]

36 +16 = 52 so

r = [tex]\sqrt{52}[/tex]  ≈ 7.2 or  [tex]r^{2} =52[/tex]

when you plug point (√2 , -7) into equation of the circle

(√2)^2 + (-7)^2 = 2 +49 =51

51 is less than 52 so this is inside of the circle

don’t even have to write an explaination I need this ASAP

Answers

Answer:

The answer is C, 60 degrees.

Step-by-step explanation:

can someone help I need an inequality that shows how much I can spend on brochures I have $1900 to spend and brochures cost $0.40 each​

Answers

0.40x=1900 .............

Answer:

0.40x=1900

Step-by-step explanation:

I need help with the last one

Answers

The last one you’re correct , 16 is a perfect example of a perfect square

Select values to multiply each equation by to form opposite terms for the x-variable. One-third x + one-sixth y = 2 One-half x + three-fourths y = negative 3

Answers

Answer:

First equation: 1/2

Second equation: -1/3

Step-by-step explanation:

We get the following equations:

[tex]\frac{1}{3}x+\frac{1}{6}y=2[/tex]          first equation

[tex]\frac{1}{2}x+\frac{3}{4}y=-3[/tex]       2nd equation

Then, to obtain opposite terms for the x variable, we need to identify the coefficient of the x for the 1st equation and the 2nd equation as:

The coefficient for x in the 1st equation is [tex]\frac{1}{3}[/tex] and the coefficient for x in the 2nd equation is [tex]\frac{1}{2}[/tex]

Finally, we need to multiply 1st equation with the coefficient of the 2nd equation and multiply the 2nd equation with the negative of the coefficient of the 1st equation.

We multiply by the negative of the coefficient of the 1st equation because we need to find opposite terms for x.

So, the first equation is equal to:

[tex](\frac{1}{3}x+\frac{1}{6}y)*\frac{1}{2} =2*\frac{1}{2} \\\frac{1}{6}x+\frac{1}{12}y=1[/tex]        

The second equation is:

[tex](\frac{1}{2}x+\frac{3}{4}y)*\frac{-1}{3} =-3*\frac{-1}{3} \\\frac{-1}{6}x+\frac{-1}{4}y=1[/tex]

Now, the coefficients for x, 1/6 and -1/6, are opposite terms.

Answer:3, -2

Step-by-step explanation:

The ratio of sandwiches with white bread to brown bread is 10:3. Out of the sandwiches that are white, 2 3 are vegetarian. Out of the sandwiches that are on brown bread, half are vegetarian. Wha

Answers

Answer:

Ratio of sandwiches with white bread and brown bread is 10:3. Of the white sandwiches 2/3 are vegetarian, of the sandwiches that are brown half are vegetarian. What fraction of the sandwiches are vegetarian?

Step-by-step explanation:

Givens

The ratio between white bread and brown bread is 10:3, that is, for every 10 white bread, there are 3 brown bread.

2/3 of white sandwiches are vegetarian.

1/2 of brown sandwiches are vegetarian.

We know that white bread is represented by 10, and brown bread is represents by 3. So, 2/3 of 10 are vegetarians, and 1/2 of 3 are vegetarians. The sum of them is

2/3 of 10 are vegetarians = [tex]\frac{2}{3} \times 10 = \frac{20}{3}[/tex]

1/2 of 3 are vegetarians = [tex]\frac{1}{2} \times 3 = \frac{3}{2}[/tex]

[tex]=\frac{20}{3}+\frac{3}{2}\\\\=\frac{40+9}{6}\\\\=\frac{49}{6}[/tex]

Therefore, 49/6 represents all the sandwiches which are vegetarian.

Find the mean of the data in the dot plot below.
fish
h
Fish Emma caught each day
of her fishing trip
+
0
1
1
2
3
4
5
6
Number of fish​

Answers

Answer:

The answer would be, 2.75

Step-by-step explanation:

Add all the numbers up:

0+1+1+2+3+4+5+6=22

Divide the answer by the amount of numbers:

22÷8=2.75

Answer:

The mean of the following dot plot:

Mean: 3

Step-by-step explanation:

0 x 1 = 0

3 x 1 = 3

6 x 1 = 6

(we only add the numbers that only has a dot on the number in the dot plot)

So:

Mean: 0 + 3 + 6 = 9/3 = 3

12.6+b=15.7 what’s the length of the base?

Answers

Answer:

3.1

Step-by-step explanation:

15.7 - 12.6 = 3.1

Pls mark me brainliest !!

The answer is B=3.1 you get to this answer by subtracting 15.7-12.6 to find the length of B

click the image please...

Answers

Answer:

[tex]9^{-7}, 9^{-2}[/tex]

Step-by-step explanation:

[tex]\frac{9^5\times9^{-9}}{9^3}\\\frac{9^{-4}}{9^3}\\ 9^{-7}[/tex]

When you multiply like terms, you add their powers. When dividing like terms, you subtract their powers (subtract the power in the denominator from the one in the numerator).

[tex](9^4)^3\times9^{-14}\\9^{12}\times9^{-14}\\9^{-2}[/tex]

Which graph represents a proportional relationship?

Answers

the second graph represents a proportional relationship
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