Lesson 1-1: The periodic comet named Johnson has been seen at every return since its discovery in 1949, as shown in the table below: Occurrence Year Seen 1- 1949 2 1956 3 1963 4 1970 Use the table for Items 1-5. Describe any pattern you see in the table. Write the values in the second column at the table as a sequence. Identify the common difference. If the pattern continues, in which of the following years will the comet be visible again? A. 2017 B. 2018 C. 2019 D. 2020 About how many times would the Johnson comet be visible during a typical person’s lifetime? Explain your reasoning. 5. Reason abstractly. A man was born during a year in which the Johnson comet was visible in the sky. The next time that the comet was visible after the man’s birth year was in 2005. In what year was the man born? The table to use is attached to the question.

Answer:

[tex]n=1[/tex]

Step-by-step explanation:

[tex]8n - 5 = -2n + 5[/tex]

First, add 5 to both sides.

[tex]8n-5+5=-2n+5+5\\[/tex]

[tex]8n=-2n+10[/tex]

Then, add 2n to both sides.

[tex]8n+2n=-2n+10+2n[/tex]

[tex]10n=10[/tex]

Finally, divide both sides by 10.

[tex]\frac{10n}{10}=\frac{10}{10}[/tex]

[tex]n=1[/tex].

Answer:

[tex]n=1[/tex]

Step-by-step explanation:

So we have the equation:

[tex]8n-5=-2n+5[/tex]

First, add 2n to both sides. The right side cancels:

[tex]10n-5=5[/tex]

Add 5 to both sides:

[tex]10n=10[/tex]

Now, divide both sides by 7:

[tex]n=1[/tex]

And we're done!

Answer:

paul spent 18 on the discount card.

Step-by-step explanation:

1.50 x 12= 18

Answer:

1 and 4, 2 and 3, and 5 and 0.

Step-by-step explanation:

Counters are used by educators to teach children how to do calculations like addition, subtraction, multiplication and division. Using color counters help to visualise the result from the operands in a calculation.

To get the pairs of numbers that adds to 5.

- Use the first color counter to mark out the five ones on the sheet.

- then with the second color counter, subtract one from the five ones.

- repeat the first two steps and increment the subtracted value until it gets to five.

Answer:

48: D ([tex]10u^3+4u^2-2u+10[/tex])

[tex]\left(4u^3+4u^2+2\right)+\left(6u^3-2u+8\right)[/tex]

Remove brackets:

[tex]4u^3+4u^2+2+6u^3-2u+8[/tex]

Group the similar terms together:

[tex]4u^3+6u^3+4u^2-2u+2+8[/tex]

Add/Subtract:

[tex]10u^3+4u^2-2u+10[/tex]

49: A. ([tex]2x\left(x^2+2x+4\right)[/tex])

[tex]2x^3+4x^2+8x[/tex]

Factor out 2x:

[tex]2x\left(x^2+2x+4\right)[/tex]

50: C. ([tex]8x^2+26x+15[/tex])

[tex]\left(4x+3\right)\left(2x+5\right)[/tex]

Use FOIL:

[tex]4x* \:2x+4x* \:5+3* \:2x+3* \:5[/tex]

[tex]8x^2+20x+6x+15[/tex]

[tex]8x^2+26x+15[/tex]

51:  B. ([tex]8n^3+6n^2-4n-20[/tex])

[tex]\left(2n^2+4n+4\right)\left(4n-5\right)[/tex]

Expand:

[tex]2n^2* \:4n+2n^2\left(-5\right)+4n* \:4n+4n\left(-5\right)+4* \:4n+4\left(-5\right)[/tex]

[tex]8n^3-10n^2+16n^2-20n+16n-20[/tex]

[tex]8n^3+6n^2-20n+16n-20[/tex]

[tex]8n^3+6n^2-4n-20[/tex]

52: D. [tex](d+9)(d+1)[/tex]

You can factor by grouping:

[tex]d^2+10d+9[/tex]

[tex]\left(d^2+d\right)+\left(9d+9\right)[/tex]

[tex]d\left(d+1\right)+9\left(d+1\right)[/tex]

[tex](d+9)(d+1)[/tex]

Answer:

x= 5

Step-by-step explanation:

48 = 4x – 2 + 6x

Combine like terms

48 = 10x-2

Add 2 to each side

48+2 = 10x-2+2

50 = 10x

Divide by 10

50/10 = 10x/10

5 =x

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 5}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{48 = 4x - 2 + 6x}[/tex]

Collect like terms

[tex] \longrightarrow{ \sf{48 = 10x - 2}}[/tex]

Swap the sides of the equation

[tex] \longrightarrow{ \sf{10x - 2 = 48}}[/tex]

Move 2 to right hand side and change it's sign

[tex] \longrightarrow{ \sf{10x = 48 + 2}}[/tex]

Add the numbers: 48 and 2

[tex] \longrightarrow {\sf{10x = 50 }}[/tex]

Divide both sides by 10

[tex] \longrightarrow{ \sf{ \frac{10x}{10} = \frac{50}{10}}} [/tex]

Calculate

[tex] \longrightarrow{ \sf{x = 5}}[/tex]

Hope I helped!

Best regards! :D

Answer:

1.3 kilograms

Step-by-step explanation:

Answer:

i agree

Step-by-step explanation:

Answer:

0.672 is rational because it is a terminating decimal.

Answer:

56°

Step-by-step explanation:

2x+3x+5=90

5x=90-5

5x=85

x=85÷5

x=17

m<2=3x+5=3(17)+5=51+5=56

Answer: 7 classes enrolled in

Step-by-step explanation:

200+40n=480

40n = 280

n = 7

Answer:

x = 2 because 5 times 2 = 10 and 10 - 2 = 8

Step-by-step explanation:

Answer:

The correct answer is x = 17.

Step-by-step explanation:

If EF bisects DEG, this means that angles DEF and angles FEG are congruent, and they each make up half of angle DEG.

Therefore, we can set up the equation:

DEF + FEG = DEG

However, since we know that DEF and FEG represent the same value, we can change this equation into the following:

2(DEF) = DEG

Now, we can substitute in the expressions that we are given:

2(3x+1) = 5x + 19

To simplify, we should first use the distributive property on the left side of the equation.

6x + 2 = 5x + 19

Our next step is to subtract 5x from both sides of the equation.

x + 2 = 19

Finally, we can subtract 2 from both sides of the equation to get x by itself on the left side.

x = 17

Therefore, the value of x is 17.

Hope this helps!

Answer:

They will be able to have their break together in 60 minutes.

Step-by-step explanation:

You will have to find the least common multiple (LCM) between 20 and 30.

The prime factorization of 20 is: 2 x 2 x 5

The prime factorization of 30 is: 2 x 3 x 5

Eliminate the duplicate factors of the two lists, then multiply them once with the remaining factors of the lists to get lcm(20,20) = 60

Step-by-step explanation:

to find the area more easily, you can divide the figure.

make a small rectangle from the upper part (a 5×6 rectangle) then a square from the lower part (a 5×5 square).

now you have a small rectangle, a big rectangle and a square.

small rectangle: 5×6=30

big rectangle: 15×5=75

square:5×5=25

30+75+25=130

if anything is unclear, ask freely.

[tex] {2}^{m + n} [/tex]

Step-by-step explanation:

[tex] \huge {2}^{m} . {2}^{n} = {2}^{m + n} [/tex]

Answer:

2^m•2^n would be the same as 4mn.

Step-by-step explanation:

Answer:

c= (f-d)/ab

Step-by-step explanation:

Answer:  84

Step-by-step explanation: 7 Times 12 because each foot is 12 inches

Answer:

1 foot = 12 inches

7 foot = ?

7 * 12 = 84

Step-by-step explanation:

1 foot is 12 inches so to convert 7 foot to inches we need to multiply it with 12

Answer:

8589465 pages are unread

Step-by-step explanation:

nidhi's hobby is reading moral value books

plz mark as brainliest if it helps

Answer:

8589465 unread pages

Step-by-step explanation:

Answer:

(1;3)

Step-by-step explanation:

midpoint=(x1+x2;y1+y2)÷2

=(-2+4;-3+9)÷2

=(2;6)÷2

=(1;3)

Answer:

Point 1 to the left with a closed circle <-----*

Point 8 to the right with an open circle o------>

Step-by-step explanation:

Got the answer correct

Answer:

24 =w

Step-by-step explanation:

1000 ^8 = 10 ^w

Rewriting 1000 as 10 ^3

10^3 ^8 = 10 ^w

We know a^b^c = a ^(b*c)

10 ^24 = 10^w

24 =w

Answer:Total cost for bread:$48.75

Total cost for peanut butter:$384

Total cost for jelly:$192

Last step:$361.75

Step-by-step explanation:I just took an assignment and got all right.

Answer:

otal cost for bread:$48.75

Total cost for peanut butter:$384

Total cost for jelly:$192

Last step:$361.75

Step-by-step explanation:I just took an assignment and got all right.

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

First, find the probability of choosing the red pen:

There are 6 total pens and 3 are red, so the probability will be 3/6

This can be simplified to 1/2

Then, find the probability of choosing a blue pen after not replacing the red one:

There are 5 total pens now, since we did not replace the red one.

There is only 1 blue pen, so the probability is 1/5

Then, multiply these 2 probabilities together:

1/2(1/5)

= 1/10

So, the probability is 1/10

Answer:

[tex]7x(x+2y-3yz)[/tex]

Step-by-step explanation:

First we find the greatest common factor of the coefficients, 7, 14 and 21.

The greatest common factor is 7.

Factor 7 out and divide the terms by 7:

[tex]7x^2+14xy-21xyz=7(x^2+2xy-3xyz)[/tex]

-----------------------------------------------------

Next, we find the greatest common factor of [tex]x^2,xy[/tex] and [tex]xyz[/tex].

The greatest common factor is x.

Factor x out and divide the terms by x:

[tex]7(x^2+2xy-3xyz)=7x(x+2y-3yz)[/tex]

Answer:

its b

Step-by-step explanation:

Answer:

There is one solution.

Step-by-step explanation:

x equals only one number which is 0 so there is one solution if there was like 0 = 0 it would be infinite if it was two different numbers, it would be no solutions.

Answer:

7.0%

Step-by-step explanation:

If the sales tax in Virginia is 2.5% less than Rhode Island, then the tax rate in Rhode Island is 2.5% MORE than Virginia, so we add it to Virginia’s tax rate.

4.5% + 2.5% = 7.0%