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2 years ago

Simplify log(10a)+log(100a)

2 answers:

6 0

One rule of logs is when you add logs, u can combine the parentheses by multiplying so..

log(10a) + log(100a)
log(10a × 100a). now multiply
log(1000a^2)

hope this helps C:

neonofarm [45]2 years ago

4 0

Log(10a) + log(100a)
log(10a × 100a). now multiply
log(1000a^2)

hope this helps!
Answer is C

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Translate each phrase into an algebraic inequality:

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Let hours = x

She can work a maximum of 30 hours so x can be any number from 30 or below.

The inequality would be: X <= 30

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2 years ago

The given lengths are two sides of a right triangle. All three side lengths of the triangle are integers and together form a pyt

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Two possibilities:
28^2 + x^2 = 96^2
OR
28^2 + 96^2 = c^2

784 + x^2 = 9216
subtract 784 from both side
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Take the square root of both sides
x = 91.83 NOT an Integer

28^2 + 96^2 = c^2
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2 years ago

Explain how System 1 becomes equivalent to System 2.

LenKa [72]

Answer:

In the procedure

Step-by-step explanation:

we have

System 1

Ax+By=C -----> equation A

Lx+My=N -----> equation B

step 1

Multiply equation B by -1 both sides

(-1)*(Lx+My=)N*(-1)

-Lx-My=-N ------> equation C

step 2

Adds equation A and equation C

Ax+By=C

-Lx-My=-N

----------------

Ax-Lx+By-My=C-N

(A-L)x+(B-M)y=C-N -----> equation D

step 3

An equivalent system (System 2) is formed with

Ax+By=C -----> equation A

(A-L)x+(B-M)y=C-N -----> equation D

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2 years ago

Three candidates were running for president of a student council. Altogether, 1524 students cast a vote in the election. The sec

Leya [2.2K]

Answer:

48%

Step-by-step explanation:

The total number of votes casted = 1524 votes = 100%

Let a = votes of first place candidate

b = votes of second place candidate

c = votes of third place candidate

The second place candidate had 140 votes less than the winner

b = a - 140 votes...... Equation 1

Hence,

a = b + 140.......... Equation 2

Second place candidate has 395 votes more than the last place candidate

b = c + 395.......Equation 3

Hence,

c = b - 395......Equation 4

a + b + c = 1524 votes....... Equation 5

If a = b + 140 and c = b - 395

The number of votes by b(second place candidate ) =

b + 140 + b + b - 395 = 1524 votes

3b = 1524 + 395 - 140

3b = 1779

b = 1779/3

b = 593 votes.

Therefore, the second place candidate had 593 votes.

Now we can calculate how many votes, the other candidates had.

The second place candidate had 140 votes less than the winner

Votes for the winner( first place candidate)

b = a - 140 votes...... Equation 1

Hence,

a = b + 140.......... Equation 2

Since b = 593

a = 593 + 140

a = 733 votes

Votes for the last place candidate

Since, Second place candidate has 395 votes more than the last place candidate

b = c + 395.......Equation 3

Hence,

c = b - 395......Equation 4

b = 593

c = 593 - 395

c = 198

From the above calculation,

a = votes of first place (winner) candidate = 733

b = votes of second place candidate = 593

c = votes of third(last) place candidate = 198

In the above question, we were asked to calculate the percentage of all the votes cast were received by the winner.

This is calculated as

= Voted received by winner/ Total number of votes casted × 100

= 733/1524 × 100

= 48.09711286%

Approximately to the nearest percent = 48%

Therefore, the percentage of all the votes cast were received by the winner = 48%

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2 years ago