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miss Akunina [59]
3 years ago
5

Help me with this problem

Mathematics
1 answer:
Alexus [3.1K]3 years ago
6 0

Answer:

x = -59/66

Step-by-step explanation:

Solve for x over the real numbers:

log(7) - log(x + 1) = log(66)

Subtract log(7) from both sides:

-log(x + 1) = log(66) - log(7)

Multiply both sides by -1:

log(x + 1) = log(7) - log(66)

log(7) - log(66) = log(7) + log(1/66) = log(7) + log(1/66) = log(7/66) = log(7/66):

log(x + 1) = log(7/66)

Cancel logarithms by taking exp of both sides:

x + 1 = 7/66

Subtract 1 from both sides:

Answer:  x = -59/66

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if A and B together can do a piece of work in 10 days and B along can do it in 15 days, how many part of the work does A complet
anzhelika [568]

Answer:

1/5

Step-by-step explanation:

Well work can be defined as: work = rate \ *\ time

where rate=amount of work that can be done in one unit of time

let a = rate of work A does in a day

let b = rate of work B does in a day

this means that: 10a + 10b=1 where work=1 and it just means the entire job has been completed.

Since b can do it alone in 15 days, this means that: 15b=1

If we divide by 15 here, we get the equation: b=\frac{1}{15}

We can now use this definition to substitute it into the first equation we made.

10a + 10(\frac{1}{15}) = 1

Multiply the 10 and 1/15

10a+\frac{2}{3}=1

subtract 2/3 from both sides

10a=\frac{1}{3}

Now divide both sides by 10

a=\frac{1}{30}

Now multiply this by 6, since we a represents the amount of work that can be done in a day, we want to find how many parts of the work can be done by a in 6 days

6a=\frac{6}{30}

Now divide both the numerator and denominator by 6

a=\frac{1}{5}

8 0
2 years ago
Simplify radical -81
Solnce55 [7]

Step-by-step explanation:

-81

\sqrt{ - 1}  \:  \times  \sqrt{81}

\sqrt{ - 1}  = i

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Step-by-step explanation:

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1 year ago
HeLP WiLL gIve BranIliEST
mario62 [17]
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7 0
2 years ago
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A bag of rice contains 17 1/2 cups of rice. Ken's children eat 2 1/2 cups of rice each day.
balu736 [363]

Answer:

The answer is "7".

Step-by-step explanation:

Given values:

\ bag \ of \ rice= 17\frac{1}{2} \\\\\ eating \ rice \ by \ ken \ per \ day = 2\frac{1}{2}\\\\\ rice = \frac{35}{2}\\\\ \ eat \ by \ day = \frac{5}{2}\\\\\ total \ days = \frac{\ bag \ value}{ \ eat \ by \ day}\\\\\ total \ days = \frac{\frac{35}{2}}{\frac{5}{2}}\\\\\ total \ days = \frac{35}{2} \times \frac{2}{5}\\\\\ total \ days = 7

4 0
3 years ago
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