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dezoksy [38]
3 years ago
9

Solve log6 22 = log6 (5x – 8) for x

Mathematics
2 answers:
Ahat [919]3 years ago
7 0
I hope this helps you

Dafna1 [17]3 years ago
4 0

Answer:

The value of x is 6

Step-by-step explanation:

The given equation is

\log_622=\log_6(5x-8)

In both sides of the equation, the base of log is 6. Hence, we can eliminate it from both sides and we are left with

22=5x-8

Add 8 to both sides

30=5x

Divide both sides by 5

x=\frac{30}{5}\\\\x=6

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What's the answer ????
gizmo_the_mogwai [7]
The mistake is line 4, she should have divided 42 by 5, not add 5 and 16
5 0
3 years ago
There are 500 people in a survey to answer two yes-or-no questions, for the first question, 440 people has a "yes" answer, for t
ollegr [7]

Answer:

Mininum value of K is 220

Step-by-step explanation:

400 people has a "yes" answer for the first question and 220 people has a "yes" answer for the second question

There is a possibility that 220 out of the 400 people that has a "yes" answer for the first question also has a "yes" for the second question

Therefore, the minimum number of people that has two "yes" answer (K) is 220

6 0
3 years ago
In preperation for an easter egg hunt, 4 blue eggs are filled for every 7 green. How many green eggs will be filled if 100 blue
ivann1987 [24]

Answer:

1. Typed question: 175 green eggs

2. Attached: 22 tables

Step-by-step explanation:

For the question you typed down, it is a ratio and proportion problem. You need to solve for the ratio proportional to the first ratio given.

4 blue eggs are filled for every 7 green. This means that the ratio between blue eggs and green eggs is 4:7.

Now yo need to figure out a ratio proportional to 4:7 if 100 blue eggs were filled. Below is how this is set up:

\dfrac{4\;blue\;eggs}{7\;green\;eggs} = \dfrac{100\;blue\;eggs}{x\;green\;eggs}

Now let's solve for x:

\dfrac{4\;blue\;eggs}{7\;green\;eggs} = \dfrac{100\;blue\;eggs}{x\;green\;eggs}\\\\or\\\\\dfrac{4}{7}=\dfrac{100}{x}\\\\Cross-multiply\\\\4x = (7)(100)\\\\4x = 700\\\\Divide\;both\;sides\;by\;4\\\\\dfrac{4x}{4}=\dfrac{700}{4}\\\\x=175

For your attached problem:

You have a total of 175 people, you need to figure out how many round tables you need if here are 8 chairs for each table You just need to divide the number of people by the number of chairs per table.

175 ÷ 8 = 21.9 tables

Now since you cannot have half a table, you round up to the nearest whole number. (we round up because you need to make sure that all of them are seated)

21.9 ≅ 22 tables.

8 0
3 years ago
The product of a number and -3, increased by 8, is 20
natita [175]

answer:

-4

Step-by-step explanation:

-3x+8= 20

-8 -8

-3x = 12

÷-3. = ÷-3

x = -4

3 0
3 years ago
What is the value of the expression below when r = 2?
djverab [1.8K]
The answer is C. 3, because you're essentially saying 9 - (3 × 2) and that is 9 - 6, which equals 3. I hope this helps!
5 0
2 years ago
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