Lowest common multiple of 40 and 220

Answers

Answer 1
Answer:

Answer:

440

Step-by-step explanation:

Prime factors of 40 = 2 x 2 x 2 x 5

Prime factors of 220 = 2 x 2 x 5 x 11

Common factors = 2² x 5

Prime factors of 40 (excluding common factors with 220) = 2

Prime factors of 220 (excluding common factors with 40) = 11

Multiply the common factors with remaining factors

2² x 5 x 2 x 11

= 440  


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Identify the vertex of the quadratic function in standard form y=2x^2 -16x+31
Which is a quadratic function having a leading coefficient of 3 and a constant term of –12?
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3. Suppose you invest $5,000 in a continuously compounded interest account. After four years,your account balance was $6,230. What interest rate were you earning on this account? Convert your answer to percent and round your answer to the nearest tenth(one decimal place).

A stack of paper contains 400 sheets. The volume of the stack is 140.25 cubic inches. Each sheet of paper is identical, with a length of 11 inches and a width of 8.5 inches. Find the height of each sheet of paper. Please put the process.

Answers

Answer:

0.00375\ \text{inches}

Step-by-step explanation:

Volume of the stack of paper is 140.25 cubic inches

The length and width of the stack will be equal to that of a single sheet of paper so

l=11\ \text{inches}

w=8.5\ \text{inches}

Let h be the height of the stack.

Volume of the stack would be

lwh=140.25\n\Rightarrow h=(140.25)/(lw)\n\Rightarrow h=(140.25)/(11* 8.5)\n\Rightarrow h=1.5\ \text{inches}

So the stack has a height of 1.5 inches. Now there are 400 sheet of paper in the stack.

Thickness of one sheet of paper is given by

(1.5)/(400)=0.00375\ \text{inches}

Hence, the height of each sheet of paper is 0.00375\ \text{inches}.

What is the value of

Answers

Answer:

61°

Step-by-step explanation:

∠SPQ is a straight line, so it equals to 180°.

∠SPR is 119° and since we're looking for ∠QPR, we subtract 119° from 180°.

180° - 119° = 61°, so ∠QPR = 61°

Answer:

61 degrees

Step-by-step explanation:

Because SPQ is said to be a straight line, we know that a straight line in this kind of equation is equal to 180 degress.

Since we already know the measure to one angle (119), we would need to find the difference between 180 and 119, meaning we'd have to subtract.

(180-119)

Then we would just get the sum, which in this case, is 61 degrees.

Georgianna wants to use the linear model associated with the data in the table to make a prediction.Which range of time values describes the entire interval over which she would be interpolating?

A) 0 to 5 minutes
B) 0 to 18 minutes
C) 0 to 30 minutes
D) 18 to 30 minutes

Answers

the data in the table in the attached figure

we know that

Linear model regression is used to predict the relationship between 2 variables by fitting the observed data in a linear equation.  

The range of time values that describes the interpolation that Georgianna would be making is from

0to30minutes

Because

the minimum value of the time of the data in the table is equal to 0 minutes

the maximum value of the time of the data in the table is equal to 30 minutes

therefore

the answer is the option

C) 0 to 30 minutes

Georgianna wants to use the linear model associated with the data in the table to make a prediction. The range of time values that describes the entire interval over which she would be interpolating is 18 to 30 minutes. The answer is letter D.

What is the smallest three-digit number that has a digit sum of 8?

Answers

Three-digit number made ​​up of
- Hundreds digit
- Tens digit
- Digits unity
We denote it as HTU
The numbers seemingly available to the number 8 - 1 = 7 0,1,2,3,4,5,6,7

Explanation
At the beginning can not be zero , the smallest is the number one
H = 1
hundreds digit indicates
1 * 100 Unity
2 * 100 Unity
3 * 100 Unity ........
because we wrote the lowest possible
.................................
T - at the scene of tens of type 0
Explanation
the tens digit is 1 * 10 unity
2 * 10 unity
3 * 10 unity ........
because we wrote here a value of 0


the smallest value in number there is unity U and there you enter the digit 7

digit unity means
1 * 1 unity
2 * 1 unity
3 * 1 unity ........
because we wrote here a value of 7
because we wrote here a value of 0
Answere 107

107

1+0+7=8

If you can put 008 then that would be even smaller.

13x+8+8x=-9x-22

please help i’m so confused

Answers

Answer:

-1

Step-by-step explanation:

-isolate everything  with x on one side and without x on the other side

-remember if you pass the equal sign change the sign of that term

13x+8x+9x = -22-8

-combine like terms

30x = -30

-divide both sides by 30

x= -1

Answer:

x = -1

Step-by-step explanation:

simplfy to 21x + 8 = -9x -22

add 9x  to get 30x + 8 = -22

then subtract 8 to get 30x =-30

divide by 30 and you get x = -1

A code is formed using four of these letters: A, B, I, K, N, O, and T. (Note that the order of the letters in the code matters; for example, ABIK is a different code from BAIK.)The size of the sample space is . The probability that the first three letters of the four-letter code are vowels is?

Answers

Answer: The size of the sample is 840.

The probability that the first three letters of the four-letter code are vowels is=(1)/(35)

Step-by-step explanation:

Th total number of letters given to form code of 4 letters = 7

Since, the order of the letters in the code matters, which means there is no repetition.

The total number of ways to form the code size =7*6*5*4=840

Therefore, The size of the sample is 840.

Since, there are 3 vowels and rest of 4 letters are consonant.

The number of ways to form code such that the first three letters of the four-letter code are vowels =3*2*1*4=24

The probability that the first three letters of the four-letter code are vowels is

=(24)/(840)=(1)/(35)

The probability that the first three letters of the four-letter code are vowels is 1/35 and the size of the sample is 840.

What is the explanation for the above?

Step 1 - Determine the sample size.

It is to be noted that the total number of letters given to form code of 4 letters = 7

Given that  the order of the letters in the code matters, which means there is no repetition; hence,

The total number of ways to form the code size = 7 x 6 x 5 x 4 = 840

Thus, the size of the sample is 840.

Step 2  - Solve for the Probability

Given that  there are 3 vowels and rest of 4 letters are consonant.

The number of ways to form code such that the first three letters of the four-letter code are vowels

= 3 x 2 x 1 x 4

= 24

Hence, the probability that the first three letters of the four-letter code are vowels is

= 24/840

= 1/35

Learn more about probability at;
brainly.com/question/24756209
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