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Alex Ar [27]
3 years ago
13

3(77/2-5/2y)+7y=111 the answer should be 9 but i don’t know the steps to get to it

Mathematics
1 answer:
inna [77]3 years ago
4 0

Answer:

see below

Step-by-step explanation:

Let's solve your equation step-by-step.

3(

77

2

−

5

2

y)+7y=111

Step 1: Simplify both sides of the equation.

3(

77

2

−

5

2

y)+7y=111

(3)(

77

2

)+(3)(

−5

2

y)+7y=111(Distribute)

231

2

+

−15

2

y+7y=111

(

−15

2

y+7y)+(

231

2

)=111(Combine Like Terms)

−1

2

y+

231

2

=111

−1

2

y+

231

2

=111

Step 2: Subtract 231/2 from both sides.

−1

2

y+

231

2

−

231

2

=111−

231

2

−1

2

y=

−9

2

Step 3: Multiply both sides by 2/(-1).

(

2

−1

)*(

−1

2

y)=(

2

−1

)*(

−9

2

)

y=9

Answer:

y=9

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Answer:

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Explanation:

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Also, we were given the points:

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Making use of the above formula for distance, we have:

D = \frac{|-2\times -4 + 1\times 11 + -4|}{\sqrt{-2^2 + -4^2}}

D = \frac{15}{\sqrt{5}}

D = 6.7units (to the nearest tenth)

8 0
3 years ago
Which are solutions of the equation x2 - 16 = 0? Check all that apply.
Maurinko [17]
Last one
Because you have to substitute it
So you do X times 2 - 16 = 0
And the only X that works is the last one cause 8 X 2 = 16 and 16 -16=0
5 0
3 years ago
What divided by five is seven
bagirrra123 [75]
The answer would be 35

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5 0
3 years ago
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A source of information randomly generates symbols from a four letter alphabet {w, x, y, z }. The probability of each symbol is
koban [17]

The expected length of code for one encoded symbol is

\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha\ell_\alpha

where p_\alpha is the probability of picking the letter \alpha, and \ell_\alpha is the length of code needed to encode \alpha. p_\alpha is given to us, and we have

\begin{cases}\ell_w=1\\\ell_x=2\\\ell_y=\ell_z=3\end{cases}

so that we expect a contribution of

\dfrac12+\dfrac24+\dfrac{2\cdot3}8=\dfrac{11}8=1.375

bits to the code per encoded letter. For a string of length n, we would then expect E[L]=1.375n.

By definition of variance, we have

\mathrm{Var}[L]=E\left[(L-E[L])^2\right]=E[L^2]-E[L]^2

For a string consisting of one letter, we have

\displaystyle\sum_{\alpha\in\{w,x,y,z\}}p_\alpha{\ell_\alpha}^2=\dfrac12+\dfrac{2^2}4+\dfrac{2\cdot3^2}8=\dfrac{15}4

so that the variance for the length such a string is

\dfrac{15}4-\left(\dfrac{11}8\right)^2=\dfrac{119}{64}\approx1.859

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5 0
3 years ago
Please help me idk this ???
nydimaria [60]

Answer:

64

Step-by-step explanation:

16/100 = x / 400

Cross multiply:-

100x = 16*400

x = 6400 / 100

= 64

7 0
4 years ago
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