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3 years ago

Which expression is equivalent to 1/2(6x+12)?

Mathematics

2 answers:

Tema [17]3 years ago

6 0

Answer is b hope this helps

barxatty [35]3 years ago

4 0

Answer:C

Step-by-step explanation:

because if x 1/2 to (6x+12) it give you = 6x+13

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Without using a calculator, choose the statement that best describes the value of the square root of 86

zubka84 [21]

The value of square root 86 is between 9 and 9.5

5 0

3 years ago

Jessica made plans to weave a rectangular jute rug, but she needs to update the plans to change the dimensions of the rug. The o

loris [4]

Answer:

Length of rug in original design is 36 inches .

Width of rug in original design is 60 inches .

The problem says that the new design has length 3x inches longer and x inches wider than the rug in the original plans .

New length of rug would be 3x inches longer than the original design which is 36 inches .

Thus new length of rug is ( 3x + 36 ) inches .

New width of rug is x inches wider than the rug in the original plans which is 60 inches in original plan .

Thus new width of rug is ( x + 60 ) inches .

Area of rectangle is Length * Width

Area of new rug is ( 3x + 36 ) * ( x + 60 )

We distribute the terms using FOIL method .

( 3x + 36 ) *( x + 60 ) = 3x ( x + 60 ) + 36 ( x + 60 )

= 3x² + 3x * 60 + 36 x + 36 * 60

= 3x² + 180 x + 36 x + 2160

Combining like terms , 3x² + 216 x + 2160

Thus the area of the rug with the new dimensions is

( 3x + 36) ( x + 60 ) = 3x² + 216 x + 2160 .

7 0

3 years ago

Read 2 more answers

Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follow

guajiro [1.7K]

Answer:

a) x = 1.52

b) s = 1.16

Step-by-step explanation:

We have that:

5 students watched 0 movies.

9 students watched 1 movie.

5 students watched 2 movies.

5 students watched 3 movies.

1 student watched 4 movies.

(a) Find the sample mean x.

Sum divided by the number of students. So

$x = \frac{5*0 + 9*1 + 5*2 + 5*3 + 1*4}{5 + 9 + 5 + 5 + 1} = \frac{38}{25} = 1.52$

(b) Find the approximate sample standard deviation, s.

Standard deviation of the sample.

Square root of the sum of the squares of the values subtracted from the mean, divided by the sample size subtracted by 1. So

$s = \sqrt{\frac{5*(0-1.52)^2 + 9*(1-1.52)^2 + 5*(2-1.52)^2 + 5*(3-1.52)^2 + 1*(4-1.52)^2}{24}} = \sqrt{\frac{32.24}{24}} = 1.16$

3 0

3 years ago

Rob was driving his car slowly and then increased its speed by 40.5 miles per hour to reach a top speed of 60 miles per hour. Wh

Lemur [1.5K]

Answer:

19.5

Step-by-step explanation:

60 - 40.5 = 19.5.

4 0

3 years ago

What is the answer please tell me

hammer [34]

Answer:

D) 7/2

Step-by-step explanation:

y=1/3 (ax-2) =>(2,3) so x=2, y=3.

Then,3=1/3 (2a-2)=> 9=2a-2 and a=7/2

So, slope is 7/2

7 0

3 years ago