Use differences to find a pattern in the sequence.
7, 17, 30, 51, 85, 137, 212
Assuming that the pattern continues, the eighth term should be

Answer:

56

Step-by-step explanation:

Range is difference between greatest and least. This is 97 - 41 = 56

Answer:

See below

Step-by-step explanation:

Problem 1

If n is the smallest of the consecutive integers, the next integer would be n+1.

Problem 2

The equation is terms of n is going to be

s = n + n + 1 + n + 2 + n+3

Problem 3

Collect like terms on the right

s = 4n + 6

Problem 4

4n + 6 = s             Subtract 6 from both sides

4n = s - 6              Divide by 4

n = (s - 6)/4

Problem 5

Solve for n when s = 2174

n = (2174 - 6)/4

n = 2168 / 4

n = 542

check

n                 = 542

n + 1            = 543

n + 2           = 544

n + 3          = 545

Total            2174         Just as it should

Answer:

1100

55100=1100 x 55100

=1100x

Step-by-step explanation:

Hope it is helpful...

The required value of unknown number a would be 2000.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

WE need to determine 55% of what number is 1100.

Let the unknown number is a. then we get;

55% of a = 1100

55/100 of a = 1100

55/100 x a = 1100

Cross mulitiplication, we get;

55a = 1100 x 100

55a = 110000

Divide by 55, we have;

a = 110000/ 55

a = 10000/ 5

a = 2000

Therefore, the required value of unknown number a would be 2000.

More can be learned about proportions at;

brainly.com/question/24372153

#SPJ5

Answer:

35x48=1680

Step-by-step explanation:

1680

Answer:

x = 115

z= 40

y = 140

Step-by-step explanation:

x = 180 - (40 +25) = 115

z = 180 - (115+25) = 40

y = 180 - (40) = 140

Answer:

This is your answer!!!

Step-by-step explanation:

I attached a pic.

Hope it helps!!!

Answer:

A.6.21

Step-by-step explanation:

A=2, b=-10, c=-5

9514 1404 393

Answer:

  c = 3

Step-by-step explanation:

In order for the function to be continuous at b=3, the left and right limits must be the same. In short, we must have ...

  c(3) +9 = c(3²) -9

  18 = 6c . . . . . . . . add 9-3c to both sides

  3 = c . . . . . . . . . . divide by 6

Function f is continuous when c=3.

Answer:

£12605.15

Step-by-step explanation:

Compound interest formula

34000(1-0.18)^5

The worth car after 5 years will be £12,605.15.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

[tex]\rm A = P \left (1 \pm r \right ) ^{t}[/tex]

Where A is the amount, P is the initial amount, r is the rate of interest, and t is the number of years.

Alex's vehicle deteriorates in esteem by 18% each year. Alex purchased his vehicle for £34000. Then the worth car after 5 years will be given as,

A = 34,000 (1 - 0.18)⁵

A = 34,000 x (0.82)⁵

A = 34,000 x 0.3707

A = £12,605.15

The worth car after 5 years will be £12,605.15.

More about the compound interest link is given below.

https://brainly.com/question/25857212

#SPJ5

Answer:

12 one fourths

Step-by-step explanation:

Answer:

12 one fourths

Step-by-step explanation:

There 3 × 1 1/4 = 3 × 4 = 12 one fourths in 3

Answer:

This is true.

Step-by-step explanation:

No matter where you put the dot on the circumference, the radius will connect to the center, and be the same distance.

Answer:

The answer is y = 4x - 1.

Step-by-step explanation:

The answer is y = 4x - 1.

Step-by-step explanation:

☆The equation we'll be using: y = mx + b

☆Since we already have the slope. we have to find the y-intercept.

☆\begin{gathered}y = mx + b \\ \\ 7 = 4(2) + b \\ 7 = 8 + b \\ \frac{ - 8 = - 8 \: \: \: \: \: \: \: \: \: \: \: }{ - 1 = b \: \: \: \: \: \: \: \: \: \: } \end{gathered}

y=mx+b

7=4(2)+b

7=8+b

−1=b

−8=−8

Answer:

yes

Step-by-step explanation:

only like terms can be combined

Answer:

yes. If it's variables, then only like variables can be combined. If it's fractions, then they must be converted to a common denominator before combining.

Step-by-step explanation:

Answer:

Step-by-step explanation:

x+3 1/2=9

x=9-7/2

x=(18-7)/2=11/2

x=5 1/2

Answer:

3 1/2 + 5 1/2= 9.

Step-by-step explanation:

Hope this helps? im sorry if it doesn't :)

Answer:

27.50

Step-by-step explanation:

Since it is 16.50 each and they bought 5 packets total an easy way to solve this problem would be that you multiply 16.50 × 5 which will give you how much the total cost of the candy would be:

16.50 × 5 = 82.50

Since that is the total amount you would then divide 82.50 by 3 since Mary and her friends all split the cost three ways (since there are three of them):

82.50 ÷ 3 = 27.50

Which will give you your answer.

Answer:

They recieved 192 crayons?

Answer:

The Answer Is 192

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

The Counting Principle states that the number of possible outcomes is equal to the product of the number of outcomes for each event. In this case, (M)(N)(O).

There are 27 possible outcome if the spinner is spun three times.

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Given, A spinner has three sections colored green, purple, and pink.

From the general formula of probability:

Probability = (desired outcomes)/(Total outcomes)

In our case,

the three possible outcomes of this event occurring are Green, Purple, and Purple, Green.

The desired outcomes = 3

The total outcomes = 3 x 3 x 3 = 27

Learn more about probability here:

brainly.com/question/30034780

#SPJ6

Answer:

20,2,0,-4,-.0625

Step-by-step explanation

3*-4=-12

depending on which side its on you can multiply or divide by -4

K= -4

Answer:

[tex]\frac{32}{3}[/tex]

Step-by-step explanation:

you simply multiply the bottom number times the whole number:

10*3 =30

then add the top number:

30+2=32

and finally, you put the 32/3

Answer:

1.-179

2.68

3. 11

4. 25

5. -734

Answer:

A

Step-by-step explanation:

Dilation by 3 from origin causes each point to be multiplied by 3.

(3,3) * 3 = (9, 9)

(6, 6) * 3 = (18, 18)

(9, 3) * 3 = (27, 9)

which is A

Answer:

11.5x 4.5-8 wayy easier all you do is add and multiply

Answer:

1/5 + 1/5 + 1/5 + 1/5 = 4/5

Step-by-step explanation:

The 4 copies of the fraction 1/5 will be 4/5.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

As per the given,

4 copies of 1/5

The first copy of /5 = 1/5

Second one = 1/5

Third = 1/5

And fourth = 1/5

Collective all copies are 1/5 + 1/5 + 1/5 + 1/5

Take LCM as 5,

(1 + 1 + 1 + 1)/5 = 4/5

Hence "The 4 copies of the fraction 1/5 will be 4/5".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ2

Answer:

K should be the answer mark me Brainest :)

Step-by-step explanation:

Answer:

[tex] x = \frac{2*\sqrt{3}}{3} [/tex]

Step-by-step explanation:

Reference angle = 30°

Opposite side = x

Adjacent side = 2

Apply the tan trigonometric function, thus:

[tex] tan (30) = \frac{opp}{adj} [/tex]

[tex] tan (30) = \frac{x}{2} [/tex]

[tex] 2 * tan (30) = x [/tex]

[tex] 2 * \frac{1}{sqrt{3}} = x [/tex] (tan 30 = 1/√3)

[tex] \frac{2}{sqrt{3}} = x [/tex]

Rationalize

[tex] \frac{2* \sqrt{3}}{sqrt{3} * \sqrt{3}} = x [/tex]

[tex] \frac{2*\sqrt{3}}{3} = x [/tex]