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Art [367]
2 years ago
8

3(6k+5)+3(6k+4 The expression has to be equivalent.

Mathematics
2 answers:
DerKrebs [107]2 years ago
7 0
Hey
I’m not sure that’s correct, but here it is!

romanna [79]2 years ago
5 0

Step-by-step explanation:

3(6k+5)+ 3(6k+4)

open the bracket

18k+15+18k+12=0

collect like terms

18k+18k+15+12=0

36k + 27 =0

36k=-27

k=-27/-36

divide through by 3

k= -9/-12

still divide through by 3

k=-3/-4

minus cancel minus

k=3/4

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Manny is covering a book. The front of the book is 11.2 inches high and 7.3 inches wide. What is the area of the front of the bo
irina [24]

Answer:

81.76in^2

Step-by-step explanation:

Given data

Lenght of book=  11.2 inches

WIdth of book= 7.3 inches

We know that Area= Length* Width

Area= 11.2*7.3

Area= 81.76 in^2

Hence the area of the front of the book is is 81.76in^2

7 0
3 years ago
The largest possible circle is cut out of a square whose side length is 8 feet. What will be the approximate area, in square fee
valentina_108 [34]
<h3>Therefore the area of remaining board  =13.76 square feet</h3>

Step-by-step explanation:

Given , The length of side of the square is 8 feet.

Since a circle is inscribed in the square. Then the diameter of the circle is equal to the length of side of the square .

Therefore the diameter of the circle is = 8 feet.

Radius of the circle is(r) = \frac{8}{2} feet = 4 feet

The area of the circle is= 3.14 r²

                                       = 3.14 × 4² square feet

                                      = 50.24 square feet

The area of the square  is = side × side

                                          = 8×6 square feet

                                          =64 square feet

Therefore the area of remaining board = (64- 50.24)square feet

                                                                 =13.76 square feet

4 0
2 years ago
How do I get from: <br>Sin x = -1/2<br>To: x = 7Pi/6, 11Pi/6
brilliants [131]
A few ways. you can enter it into a calculator for one, but the easiest way would be to reference a unit circle and look for an ordered pair where sin (the y value), is equal to -1/2

on a unit circle, the sin value is -1/2 at 7pi/6 and 11pi/6

because sin is the y value, it will additionally be in the quadrants III or IV based on the fact that (-1/2) as a sin value IS a negative and would have to be found in a quadrant in which sin is negative (the lower half of a coordinate plane, in this case)
8 0
3 years ago
Find the greatest common factor of these three expressions.
leva [86]
6x

42/6 = 7 (valid), 18/6 = 3 (valid), 12/6 = 2 (valid)

7, 8, 9, 10, and 11 are all not divisible by 12, and 12 is not divisible by 18, so 6 is the highest number.

Also, each number has at least one x, so you can take one out.

Remaining=
6x (7 + 3x^2 + 2x^3)

3 0
3 years ago
Carolyn Mills does maintenance work at a golf course. She worked these hours last season: April, 150; in each of the next four m
GalinKa [24]

Answer:

$11,025

Step-by-step explanation:

April: 150hrs

May-August: 200hrs x 4 = 800 hrs

September: 100 hrs

$10.50/hr pay rate

150+800+100 = $1,050

$1,050 x $10.50 = $11,025

*Gross pay is the amount of money made before tax

8 0
2 years ago
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