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SashulF [63]
3 years ago
14

Solve for x:5/7 = 4x/83​

Mathematics
1 answer:
Simora [160]3 years ago
7 0

Step-by-step explanation:

\to  \dfrac{5}{7}  =  \dfrac{4x}{83}

By cross multiplication,

→ 83(5) = 4x(7)

→ 415 = 28x

<h3>→ 415/28 = x</h3>

  • In decimal : 14.8214286

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Paul [167]

Answer:

B: y = 3x + 6

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3 years ago
Read 2 more answers
Log16^*+log4^*+log2^*=7​
ale4655 [162]

Answer:

x = 16

Step-by-step explanation:

Given

log_{16}(x) + log_4(x) + log_2(x) = 7

Required

Solve for x

log_{16}(x) + log_4(x) + log_2(x) = 7

Change base of 16 and base of 4 to base 2

\frac{log_2(x)}{log_2(16)} + \frac{log_2(x)}{log_2(4)} + log_2(x) = 7

Express 16 and 4 as 2^4 and 2^2 respectively

\frac{log_2(x)}{log_2(2^4)} + \frac{log_2(x)}{log_2(2^2)} + log_2(x) = 7

The above can be rewritten as:

\frac{log_2(x)}{4log_22} + \frac{log_2(x)}{2log_22} + log_2(x) = 7

log_22 = 1

So, we have:

\frac{log_2(x)}{4*1} + \frac{log_2(x)}{2*1} + log_2(x) = 7

\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x) = 7

Multiply through by 4

4(\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x)) = 7 * 4

log_2(x) + 2}log_2(x) + 4log_2(x) = 28

7log_2(x) = 28

Divide through by 7

\frac{7log_2(x)}{7} = \frac{28}{7}

log_2(x) = 4

Apply the following law of logarithm:

<em>If </em>log_ab = c<em> </em><em>Then </em>b = a^c<em></em>

So, we have:

x = 2^4

x = 16

6 0
3 years ago
If it takes John 10 hours to paint the fence, how long will it take John and his 2 friends to do the job if they work at the sam
Pepsi [2]

Answer:

about 5

Step-by-step explanation:

each of them are doing it so it won't take as long as just one person by themselves that's was a educated guess

3 0
3 years ago
What is 8-6g+15=19 step by step
taurus [48]
8 -6g + 15 = 19

You want to isolate the terms (separated by +) that doesn't have letters next to it, to the other side.

So, get 8 and 15 to the other side by subtracting both sides. They don't have letters next to them.

-6g =-4

Divide the -6 on both sides to get "g" alone.

g = 4/6

Simplify

g= 2/3



8 0
3 years ago
ABCD is a quadrilateral.
klasskru [66]

Answer:

C 350 workout the length of CD. Give answer correct to 3 significant figures. 52

B 102

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3 years ago
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