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Kruka [31]
3 years ago
14

8 - 1/2 x = -6(3/4 x -2) + 4

Mathematics
1 answer:
____ [38]3 years ago
3 0

Answer:

x=2

Step-by-step explanation:

distribute- 8-0.5x=-4.5x+12+4

combine like terms- 8-0.5x=-4.5x+16

combine more by subtracting 8 from both sides- -0.5x=-4.5x+8

and more by adding 4.5 to each side 4x=8

and finally divide 4 from both sides to get x=2

hope this helps! have a great day/night :)

*I changed it to decimals just because it was easier for me you can keep them as fractions and get the same result*

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Please help!! will mark branliest
Mashcka [7]

Answer:

a. After the first bounce, the ball will be at 85% of 8 ft. After 2 bounces, it'll be at 85% of 85% of 8 feet. After 3 bounces, it'll be at (85% of) (85% of) (85% of 8 feet).  You can see where this is going. After n bounces the ball will be at

h(n) = (85\%)^n 6ft = (\frac{17}{20})^n(6ft\times 12\frac{in}{ft}) = (\frac{17}{20})^n\times72'

b. After 8 bounces we can apply the previous formula with n = 8 to get

h(8)=(\frac{17}{20})^8\times 72' = 19.62'

c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous h(n)increasing the value of n until we find a good value. I recommend using a spreadsheet for that; the condition will lead to the following inequality:

1>(\frac{17}{20})^n\times 72 Let's first isolate the fraction by dividing by 72.

(\frac{17}{20})^n  Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:

ln ((\frac{17}{20})^n) < ln \frac 1{72} \rightarrow n\times ln (\frac{17}{20}) < -ln72. Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:

-(0.16)n < - 4.27 \rightarrow n>26.31 Now, since n is an integer - you can't have a fraction of a bounce after all, you pick the integer right after that, or n>27.

7 0
3 years ago
Look at the 2 fractions below. Choose which are equivalent fractions from the choices. Hint: There may be more than 1 correct an
sergeinik [125]
2/12 and 9/12 is right. 4/24 and 18/24 is right. So, answers A and D are right
6 0
3 years ago
Read 2 more answers
You are standing on a footbridge in a city park that is 12 feet high above the pond. You look down and see a duck in the water 7
SashulF [63]
Opposite/adjacent= cosine
cos B= opp/adj

cosB= 7/12
B=cos^-1 (7/12)
(Type it into a graphing calculator)
B=54.3 degrees

Make sure your calculator is in degree mode and you use the inverse cosine.
8 0
3 years ago
Translate this phrase into an algebraic expression.
wariber [46]

Answer:

17+2g

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Help i have no idea how to solve this
ASHA 777 [7]

Answer:

AB =24

Step-by-step explanation:

So, since all the sides are equal, you can just take two of the sides and set em equal to each other to find x and then, solve for AB

4x+8 =6x

8= 6x-4x

8=2x

8/2 =x

x= 4

Now, find AB, which is 4x+8

4(4) + 8

16+8 = 24

Hope this helps!

Please mark brainliest if you think I helped! Would really appreciate!

5 0
4 years ago
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