What is 3.611 in expanded form

Answers

Answer 1
Answer:

Answer and Step-By-Step-Explanation:

Expanded form is stating all place values of a number and separating it.

So we have 3.611

3 is the ones place

3

There is a decimal point following before the number 6

Which is in the tenths place

3 + 0.6

After that, there is a 1

In the hundredths place

3 + 0.6 + 0.01

Lastly, there is another 1

In the thousandths place

3 + 0.6 + 0.01 + 0.01


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What is 32-6x+7x=-15+38

0.4x+0.5y=2.51.2x-3.5y=2.5




ELIMINATION BY USING MULTIPLICATION

Answers

\begin{cases} 0.4x+0.5y=2.5\ \ /*7 \n 1.2x-3.5y=2.5\end{cases} \n \n \begin{cases} 2.8x+3.5y=17.5 \n 1.2x-3.5y=2.5\end{cases}\n +\ \ -------- \n4x=20 \ \ /:4\n \nx=5

0.4x+0.5y=2.5\n \n 0.4*5+0.5y=2.5\n \n2+0.5y=2.5\ \ | -2\n \n0.5y=2.5-2\n \n0.5y=0.5 \ \ :/ \ 0.5\n \n y=1 \n \n \begin{cases}\ \x=5 \n y=1 \end{cases}


Determine whether the given point lies on the graph of the inequality. (-1,-3); -x-6y < 19.

in this case, is the point on the graph (yes or no)

Answers

-x - 6y < 19. 

Point ( -1, -3)   
⇔    x = -1   ,  y = -3
instead of the variables you need to put the values ​​of x and y ( coordinates of the point )
- (-1) - 6*(-3) < 19

we calculate

1 + 18 < 19    
record turns mushy

Proposal
the point does not belong to the graph



Help with with 6x + 11 = -31

Answers

Answer:

x=-7

Step-by-step explanation:

-31-11=-42         -42/6=-7

So first you would cancel out the 11 on both sides so -31-11 =-42 The divide it by 6 -42 divided by 6 is -7

Turn 0.12 to a fraction

Answers

12/100
6/50
3/25


once fully simplified 3/25 is your answer

What is 743×295 in standard algorithm

Answers

 when your multipying in algorithm is going to have a lot of steps 
the last 2 digets is 3and 5 so multpy witch will equal 15 5 goes on the bottem and your 1 goes ontop of 4 ect... 743x295=219185

Final answer:

The product of 743 and 295 computed using the standard multiplication algorithm is 219035.

Explanation:

The multiplication question is asking for the product of the numbers 743 and 295. We can solve this by using the standard algorithm of multiplication, which follows these steps:

  1. Setup the multiplication problem with 743 on top and 295 below.
  2. Start with the digit in the ones position in the bottom number, which is 5. Multiply 5 by each digit in the top number, placing the result below the line on the right.
  3. Move to the digit in the tens position in the bottom number, which is 9. Multiply 9 by each digit in the top number, then place the result below the line on the left. Remember to include a 0 in the ones place this time as we are working with tens.
  4. Repeat the last step for the hundreds place. In this case, 2 is in hundreds place so, we multiply 2 by every digit in the top number. Remember to include two 0s at the end as we are working with hundreds.
  5. Add up the results and you have your answer.

If you follow these steps correctly, the product you obtain should be 219035.

Learn more about standard algorithm multiplication here:

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PLEASE HELP!!!! This table gives information on serving sizes of a variety of sodas sold in a day in a cafeteria.

            Orange   Cola    Lemon
Small       51         66          57
Medium  37         56         48
Large       9           17          6



What percentage of orange sodas sold are small, and what percentage of large servings sold are colas? Round your answers to the nearest whole number.
A. 29% of orange sodas sold are small, and 12% of large servings sold are colas.
B. 12% of orange sodas sold are small, and 53% of large servings sold are colas.
C. 53% of orange sodas sold are small, and 53% of large servings sold are colas.
D. 29% of orange sodas sold are small, and 53% of large servings sold are colas.
E. 53% of orange sodas sold are small, and 12% of large servings sold are colas.

Answers

total: 51 + 66 + 57 + 37 + 56 + 48 + 9 + 17 + 6 =347

Orange: 51 + 37 +9 = 97
cola: 66 +56 +17 = 139
Lemon: 57 + 48 + 6= 111

small: 51 +66 +57 = 174
medium: 37 + 56 +48 = 141
large: 9 +17 +6 = 32

percents of orange sodas are small: 51 / 97 = 0.526 = 53%
large servings are cola: 17 / 32 = 0.536 = 53%
 Answer is C

53 percentage of orange sodas sold are small , and 53 percentage of large serving sold are colas.

What is percentage?

"Percentage is a number which represents the fraction of a number as its hundredth part."

Formula used

Percentage(%)  = ( Value / Total value) × 100

According to the question,

As given in the table,

Total number Oranges soda = 51 + 37 + 9

                                 = 97

Number of Small Oranges soda = 51

Substitute the value in the formula we get,

Percentage of orange sodas sold are small= (51 / 97) × 100

                                                                     = 52.57%

                                                                     = 53% (nearest whole number)

Total number of large sodas = 9 + 17 + 6

                                               = 32

Number of large sodas are Cola = 17

Percentage of large  sold sodas are colas = (17 / 32) × 100

                                                                     = 53.125%

                                                                    = 53% (nearest whole number)

Hence, Option(C) is the correct answer.

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