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Marianna [84]
3 years ago
14

How do you solve 34.86 x 1.2?

Mathematics
1 answer:
Nezavi [6.7K]3 years ago
3 0

Answer: 41.832

Step-by-step explanation:

I like to write decimals without decimals when multiplying. for this I would do  

3486 x 12 which equals 41832 then You would move the decimal up from 3 spaces from the 2 from 41832 which would put the decimal between the 1 and 8

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What is the equation of the line that goes through the points (1,2) and (2,1)?
Mandarinka [93]

Answer:

y = -x+3

Step-by-step explanation:

We have two points so we can find the slope

m =(y2-y1)/(x2-x1)

    (1-2)/(2-1)

    -1/1

 The slope is -1

We can use the slope intercept form of the equation

y = mx+b where m is the slope and b is the y intercept

y = -x+b

Substitute a point into the equation to find b

2 = -1 +b

Add 1 to each side

2+1 =-1+1 +b

3 =b

y = -x+3

4 0
3 years ago
A local high school held a two-day fundraiser selling lunches. The equations shown represent the amount of money the school coll
Over [174]

Answer:

  11

Step-by-step explanation:

The two equations appear to be ...

  • 12x +4y = 152
  • 32x +12y = 420

These can be solved for y using Cramer's rule:

  y = (152(32) -420(12))/(4(32) -12(12)) = -176/-16 = 11

The cost of the vegetarian lunch is 11.

_____

<em>Comment on Cramer's Rule</em>

For equations ...

  ax +by =c

  dx +ey = f

The solutions are ...

  x = (bf -ey)/(bd -ea)

  y = (cd -fa)/(bd -ea) . . . . note the denominators are the same expression

Once you memorize the pattern of products, this can be the simplest way to solve a pair of equations--especially if you only need one of the variable values.

6 0
3 years ago
Twenty times y is at most 100 in interval notation
DiKsa [7]

Answer:

y\in (-\infty ,5]

Step-by-step explanation:

In this problem, we need to write "Twenty times y is at most 100 in interval notation ".

20 times y means, 20y

Atmost means an inequality which is \le

ATQ,

20\times y\le 100

i.e.

20y\le 100\\\\y\le 5

We can also write it as :

y\in (-\infty ,5]

Hence, the required interval notation is y\in (-\infty ,5].

7 0
3 years ago
Help please I would really really appreciate it!!!i need someone kind hearted and that cares to help!!!
Free_Kalibri [48]
#5) 7.065 sq. ft.
#6) 36 ft
#7) 200.96 sq. ft.
#8) 176.625 sq. ft.

Explanation
#5) Converting 18 inches to feet, 18/12 = 1.5.  The area of the circle would be given by A=3.14(1.5)² = 3.14(2.25) = 7.065 sq. ft.

#6) The radius is 18 inches, so the diameter is twice that:  18*2 = 36 inches.  Converting this to feet, we have 36/12 = 3 feet.  Each stone is 3 feet across.  Laying 12 of them against each other would give us a total length of 12*3 = 36 feet.

#7) The radius of the entire mirror with frame is 20/2 = 10.  The area of the entire mirror with frame is A=3.14(10²) = 3.14(100) = 314 in².
The area of the mirror without the frame is A=3.14(6²) = 3.14(36) = 113.04 in².

The difference between the two will give the area of the frame:
314-113.04 = 200.96 in²

#8) The area of the circular region is given by A=3.14(7.5²) = 176.625 ft²
6 0
3 years ago
A researcher is interested in knowing the average height of the men in a village. To the researcher, the population of interest
Anna11 [10]

Answer:

The population mean height of men in the village is 5.78 feet.

The sample mean height of men in the village is 7.8 feet.

Step-by-step explanation:

It is provided that the researcher's interest is in knowing the average height of the men in a village.

To the researcher, the population of interest is the <em><u>men</u></em><em> </em>in the village, the relevant population data are the <em><u>height of men</u></em> in the village, and the population parameter of interest is the <em><u>mean height of men</u></em>.

It is also provided that there are 590 men in the village, and the sum of their heights is 3,410.2 feet.

Compute the average height as follows:

\bar X_{H}=\frac{3410.2}{590}=5.78\ \text{feet}

Thus, the population mean height of men in the village is 5.78 feet.

It is given that the researcher measured the heights of 18 village men and calculated the average to estimate the average height of all the village men.

The sample for his estimation is <em><u>18 men</u></em>, the relevant sample data are the <em><u>heights of the 18 men</u></em>, and the sample statistic is the <em><u>sample mean height</u></em>.

It is also given that the  sum of the heights of the 18 village men is 104.4 feet.

Compute the average height of the 18 men as follows:

\bar x_{H}=\frac{104.4}{18}=7.8\ \text{feet}

Thus, the sample mean height of men in the village is 7.8 feet.

8 0
3 years ago
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