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2 years ago

Rewrite the fraction as a decimal. -82/5

2 answers:

8 0

Rewrite the fraction

- 82/5

as a decimal.

First, express it as a mixed number.

5 goes 16 times into 82, because 16 * 5 = 80, and you have a remainder of 2. So

- 82/5

= - [ 80/5 + 2/5 ]

= - [ 16 2/5 ]

= - [ 16 + 2/5 ]

Now, multiply both numerator and denominator of that proper fraction by 20, so you get a new fraction whose denominator is a power of ten (100 in this case):

= - [ 16 + (2 * 20)/(5 * 20) ]

= - [ 16 + 40/100 ]

But.40/100 = 0.4. So it is

= - [ 16 + 0.4 ]

= - 16.4 <----- this is the answer.

I hope this helps. =)

dlinn [17]2 years ago

3 0

You can just multiply the top and the bottom by 2, to get the bottom to be 10. So you get -164/10. From here you can see that 10 goes into 164,16.4 times.

Therefore, -82/5 = -16.4

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Combine terms: 12a + 26b -4b – 16a.

Liula [17]

Answer:

C. -4a + 22b

Step-by-step explanation:

12a + 26b -4b – 16a

= 12a – 16a + 26b – 4b

= -4a + 22b

5 0

2 years ago

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(pls help .z.) Both the numerator and the denominator of 21/24 can be divided by _____. .2 .3 .4 .6

makkiz [27]

Answer:

B.) 3

Step-by-step explanation:

21/3 = 7

24/3 = 8

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3 0

3 years ago

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Does Anyone have idea how to solve this problem?

garik1379 [7]

A.

5 * 2 = 10

8 * 2 = 16

10 cm by 16 cm is the new dimensions. Area = 160 sq cm. Perimeter = 52 cm.

B.

5 * 3 = 15

8 * 3 = 24

15 cm by 24 cm is the new dimensions. Area = 360 sq cm. Perimeter = 78 cm.

C.

The areas for the different sized photos both still maintain a ratio of 5:8 cm.

6 0

3 years ago

Read 2 more answers

Sin4x.sin5x+sin4x.sin3x-sin2x.sinx=0

andreev551 [17]

Recall the angle sum identity for cosine:

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

cos(x - y) = cos(x) cos(y) + sin(x) sin(y)

==> sin(x) sin(y) = 1/2 (cos(x - y) - cos(x + y))

Then rewrite the equation as

sin(4x) sin(5x) + sin(4x) sin(3x) - sin(2x) sin(x) = 0

1/2 (cos(-x) - cos(9x)) + 1/2 (cos(x) - cos(7x)) - 1/2 (cos(x) - cos(3x)) = 0

1/2 (cos(9x) - cos(x)) + 1/2 (cos(7x) - cos(3x)) = 0

sin(5x) sin(-4x) + sin(5x) sin(-2x) = 0

-sin(5x) (sin(4x) + sin(2x)) = 0

sin(5x) (sin(4x) + sin(2x)) = 0

Recall the double angle identity for sine:

sin(2x) = 2 sin(x) cos(x)

Rewrite the equation again as

sin(5x) (2 sin(2x) cos(2x) + sin(2x)) = 0

sin(5x) sin(2x) (2 cos(2x) + 1) = 0

sin(5x) = 0 or sin(2x) = 0 or 2 cos(2x) + 1 = 0

sin(5x) = 0 or sin(2x) = 0 or cos(2x) = -1/2

sin(5x) = 0 ==> 5x = arcsin(0) + 2nπ or 5x = arcsin(0) + π + 2nπ

… … … … … ==> 5x = 2nπ or 5x = (2n + 1)π

… … … … … ==> x = 2nπ/5 or x = (2n + 1)π/5

sin(2x) = 0 ==> 2x = arcsin(0) + 2nπ or 2x = arcsin(0) + π + 2nπ

… … … … … ==> 2x = 2nπ or 2x = (2n + 1)π

… … … … … ==> x = nπ or x = (2n + 1)π/2

cos(2x) = -1/2 ==> 2x = arccos(-1/2) + 2nπ or 2x = -arccos(-1/2) + 2nπ

… … … … … … ==> 2x = 2π/3 + 2nπ or 2x = -2π/3 + 2nπ

… … … … … … ==> x = π/3 + nπ or x = -π/3 + nπ

(where n is any integer)

5 0

2 years ago

3x − 1/2(8x − 2) = 4 step 1: 3x − 4x 1 = 4 step 2: x 1 = 4 step 3: x 1 − 1 = 4 − 1 step 4: x = 3 which step was the error made a

Mrrafil [7]

3x-1/2(8x-2)=4
3x-4x+1=4
-x=3
X=-3

8 0

3 years ago