The missing number in the arithmetic sequence 60, 51, ___, 33 is:

Answers

Answer 1

Answer:

42

Step-by-step explanation:

In this question, we have the find the rate of change in the sequence.

To find this, we need to find how much the sequence is changing by.

We know from 60 to 51 is -9, so we know that our sequence is changing by -9.

To find our unknown number, we would subtract 9 from 51.

51 - 9 = 42

Our missing number in the sequence is 42.

We can check our answer by subtracting 9 from 42. This gives us our next number, which is 33.

42 would be your answer.


Related Questions

A Petri dish is growing bacteria. It starts with 3 cells on day 1, 9 cells on day 2, and continues tripling the number of cells every day after that. How many cells of bacteria are there on day 5? 3 5 5 3 15 18

Answers

Answer:

243

Step-by-step explanation:

Given that:

Day 1 = 3

Day 2 = 9

After the 2nd day, number of cells continue to triple ;

Day 3 = 9^3

P(t) = 9 * 3^3

P(t) = 9 * 27

= 243

Are the ratios 1:2 and 8:20 equivalent?

Answers

Answer:

Nah

Step-by-step explanation:

8:20=2:5

1:2 is not equal to 2:5

* Find the length of BD.
A

Answers

9514 1404 393

Answer:

  BD = 17

Step-by-step explanation:

The Pythagorean theorem can be used twice:

  BC^2 + AC^2 = AB^2

  BC = √(AB^2 -AC^2) = √(25^2 -24^2) = √49 = 7

__

Likewise, ...

  DC = √(AD^2 -AC^2) = √(26^2 -24^2) = √100 = 10

Then ...

  BD = BC +DC = 7 + 10

  BD = 17

chloe is 5 feet 4 inches tall. there are 2.54 centimeters in 1 inch. what is chloe's height in centimeters?

Answers

Answer:

Her height would be 162.56 centimeters tall.

Step-by-step explanation:

There are 12 inches in 1 foot so that would mean that 1 foot has 30. 48 centimeters.

30.48 x 5 = 152.4

Add the 4 extra inches so 4 inches in centimeters is 10.16

152.4 + 10.16 = 162.56

I don’t understand this

Answers

Answer:

3 to 1

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, image to original, that is

OA' : OA

= 27 : 9 ( divide both parts by 9 )

= 3 : 1

can someone help me on this please :) ​

Answers

9514 1404 393

Answer:

x = 6y = 18

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

__

  [tex]\left(\dfrac{a^3b^4}{a^2b}\right)^6= (a^{3-2}b^{4-1})^6 =a^{1\cdot6}b^{3\cdot6}=\boxed{a^6b^{18}}[/tex]

Comparing to the given form, we see x=6, y=18.

Solve for z. 12=15(z-1/5)​

Answers

Z=0.6 or 3/5

Distribute
12=15z+3
Subtract the 3
9=15z
Divide by 15
0.6=z

Answer:

1

Step-by-step explanation:

First, Distribute

Then, add 3 to both sides

Then, Divide 15 from both sides

1=Z

Erwin earns $ 2 , 100 per month. Her deductions amount to 26 % of her paycheck. How much does Erwin take home each month?

Answers

Answer:

Credit ⇒ 45

Debit ⇒ $30

Step-by-step explanation:

Credit = $45

Debit = $30

When an account balance increases it means that it has been credited and when it decreases, it has been debited.

The beginning balance here is $0 and the closing balance is $15.

There were 2 transactions, one credit and one debit.

For the closing balance to be $15, the Credit amount must have been $15 more than the Debit amount.

I dont think this is right PLEASE HELP ASAP!!!! thank you so so so much!!! *will give brainliest*

Answers

Answer:

i got -2.093 repeating

Step-by-step explanation:

multiply -2 and 3.14 then divide by - 3 sorry if not right

I need help ASAP! picture below is what I need​

Answers

Answer:

Evaluating the piecewise function when X =3, we get f(3) = 7

Step-by-step explanation:

Given the following piecewise function

f(x)= { 2x+1; where x > 0

         -3 when x ≤ 0

Evaluate the function when X = 3

We will evaluate f(x) =2x+1 where x > 0, because x = 3 and 3 <0

We can't use -3, because x ≤ 0, and 3 is not less than 0.

Now, evaluating the function:

[tex]f(x)=2x+1\\Put\:x=3\\f(3)=2(3)+1\\f(3)=6+1\\f(3)=7[/tex]

So, Evaluating the piecewise function when X =3, we get f(3) = 7

Work out these approximate conversions. 8 miles=..... km​

Answers

Answer:

12.87 km

Step-by-step explanation:

searched it up

Evaluate
2-8÷-2-3-12÷-6×-2

Answers

Answer:

7

Step-by-step explanation:

2-8÷-2-3-12÷-6×-2

2 - -4 - 3 - 2 x -2

2 + 4 + -3 - -4

6 + -3 + 4

3 + 4

7 :)

Simply each expression
1) 2x+5-3x
2) -(w-2)

Answers

Answer:

1) -x+5

2)-w+2

Step-by-step explanation:

2x+5-3x Combine.

-x+5

-(w-2)

-w+2

PLEASE HELP | WILL GIVE BRAINLY IF RIGHT | LOOK AT IMAGE

Answers

Answer:

Town C

Step-by-step explanation:

the answer is town C

HELP ME PLEASE I NEED HELP

Answers

try the other answer.

Answer:

a. x=2

b. y=5

Step-by-step explanation:

a. 2(11x+7)=58

22x+14=58

x=2

b. 16y+10=90

16y=80

y=5

Write the ratio of the first measurement to the second measurement. Compare in millimeters Diameter of ball A: 33mm Diameter of ball B: 5.4 cm

Answers

Answer:

The ratio of first measurement to second measurement in millimeters is 11:18

Step-by-step explanation:

Given that:

Diameter of ball A = 33 mm

Diameter of ball B = 5.4 cm

1 cm = 10 mm

5.4 cm = 10*5.4 mm

5.4 cm = 54 mm

Ratio of diameter of ball A to diameter of ball B.

33 : 54

Simplifying the ratio

11 : 18

Hence,

The ratio of first measurement to second measurement in millimeters is 11:18

what does it mean by a variables​

Answers

Answer:

variables

Step-by-step explanation:

variables are constantly variating to contour to the problem it is being used in like in rentals, the variable is the amount of hours rented and the constant is the price it's being rented for

I need help with this please!! ​

Answers

Answer:

[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]

Step-by-step explanation:

1. Expand by distributing sum groups.[tex]3x( {2x}^{2} + 5x - 1) - 3( {2x}^{2} + 5x - 1)[/tex]

2. Expand by distributing terms.

[tex] {6x}^{3} + {15x}^{2} - 3x - 3( {2x}^{2} + 5x - 1)[/tex]

3.Expand by distributing terms.

[tex] {6x}^{3} + {15x}^{2} - 3x - ( {6x}^{2} + 15x - 3)[/tex]

4. Remove parentheses.

[tex] {6x}^{3} + {15x}^{2} - 3x - {6x}^{2} - 15x + 3[/tex]

5. Collect like terms.

[tex] {6x}^{3} + {15x}^{2} - {6x}^{2} ) + ( - 3x - 15x) + 3[/tex]

6. Simplify.

[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]

Thus. the answer is,

[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]

What are all the variables of x y and z ?

Answers

Answer:

x°=96°

y°=88°

z°=151°

Step-by-step explanation:

55°+29°+×°=180°

×°=96°

96°+55°=z°

z°=151

then let variable A° be one of the inner angle of the triangle

A°+z°=180°

A°+151°=180°

A°=29°

finally adding all the inner angles will give us 180°

96°+y°-13°+29=180°

y°=88°

For the model to scale, the ratio of the height to the side length should be the same for both the actual pyramid and the model. Is the model of Khufu's pyramid to scale? If not, is it close?

PLEASE HELP. I WILL MARK YOU BRANLIEST​

Answers

Answer:

Scale Model of the Great Pyramid

You can build a model of the Great Pyramid, but first you need to scale it down. To do this, you will need to

make the pyramid 3,000 times smaller than it really is! To achieve that, every 30 meters of the pyramid is

represented as 1 centimeter.

Step-by-step explanation:

Solve for x. 5 = 1/5x -3​

Answers

Answer:

40.

Step-by-step explanation:

5=1/5x-3

8=1/5x

40

Brainliest PLS

The cost of hot drinks in a cafe is shown

Answers

Answer:

???? there's no attachment.

Step-by-step explanation:

a car travels 180 miles in 3 hours at this rate how many miles will the? car travel in 6 hours ?

Answers

It will cover 360 miles in 6 hrs

Hope this helps

Pls give me BRAINLIEST

What is this problem: It is also a rational function. 6 / x^2 - 9 - 1 / x - 3 = 1 Answers: A) -1+-sqr(73) / 2 B)-4 C)2 D)3 or -4

Answers

Answer:  B)-4

Step-by-step explanation:

The given equation: [tex]\dfrac{6}{x^2-9}-\dfrac{1}{x-3}=1[/tex]

Using identity: [tex]a^2-b^2=(a-b)(a+b)[/tex]

[tex]\dfrac{6}{(x-3)(x+3)}-\dfrac{1}{x-3}=1\\\\\Rightarrow\ \dfrac{6-(x+3)}{(x-3)(x+3)}=1\\\\\Rightarrow\ \dfrac{6-x-3}{(x-3)(x+3)}=1\\\\\Rightarrow\ 3-x=(x-3)(x+3)\\\\\Rightarrow\ (-1)(x-3)=(x-3)(x+3)\\\\\Rightarrow\ -1=x+3\\\\\Rightarrow\ x=-1-3=-4 \ \ \ [x\neq3][/tex]

Hence, the solution is : x=-4

The correct option is B.

I need help- I’ll give brainlist if it’s right

Answers

Answer:

D.  x>[4]

Plzzzzz give me Brainliest!!!!!  

Answer:

D. x > 4

Step-by-step explanation:

You have to do the opposite operations to get the variable on one side of the equation by itself.

4 - x + 4 = 8 - 4

x = 4

You only switch the comparison sign if you mutliply or divide by negative numbers when you do opposite operations to get the variable on one side of the equation by itself.

I hope this helps!

Find the measure of

Answers

Answer:

119 is the answer

Step-by-step explanation:

use sum of angles on a straight line

Answer:

is the 3 one (119)

Because we all know that (B) is equal to 62 and (AB is 57 and if you add 62 + 57 = 119

Which graph shows a linear function?

Answers

Answer:

I this that its the third graph

Find the slope of the line graphed below.
-

Answers

Step-by-step explanation:

1st point=(-2,2)x1=-2,y1=2

2nd point=(3,-2)x2=3,y2=-2

slope=y2-y1/x2-x1

According to the question,

slope=-2-2/3-(-2)=-4/5

8 * 6 + (12-4) / 2 equals to what

Answers

Answer:

52

Step-by-step explanation:

Simplify the expression (Steps shown below).

1/3 divided by 4
2/5 divided by 4
4/7 divided by 4
2/5 divided by 3
5/6 divided by 5
5/8 divided by 10

Answers

1. 1/3 divided by 4 is 0.0833
2. 2/5 divided by 4 is 0.1
3. 4/7 divided by 4 is 0.1428
4. 2/5 divided by 3 is 0.1333
5. 5/6 divided by 5 is 0.1666
6. 5/8 divided by 10 is 0.0625

Answer:

1. 0.0833

2. 0.1

3.  0.1428

4.  0.1333

5. 0.1666

6.  0.0625

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