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Scorpion4ik [409]
3 years ago
7

Simplify the following expression.

Mathematics
2 answers:
svetlana [45]3 years ago
8 0

Answer:

D. 35x+111y

add the X’s together and then add the Y’s!

PIT_PIT [208]3 years ago
8 0
Answer: 35x + 111y

Explanation:
64x + 67y - 29x + 44y
combine like terms:
35x + 111y
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Let log_b 4= G and log_b9= S. Write the expression in terms of G and S
Liono4ka [1.6K]

S-G is the expression in terms of G and S

<h3>What is the expression in terms of G and S?</h3>

Given: log_b 4 = G, log_b9 = S and log_b 9/4

To write log_b 9/4 in terms of G and S, we need to understand logarithm division rule, which states that:

When you divide two values with the same base is to subtract the exponents. Simply, the rule for division is to subtract the logarithms i.e.

logₓ (a/c) = logₓa - logₓc

Thus,  log_b (9/4) = log_b 9 - log_b 4  = S - G  

(Note: log_b 4 = G and log_b9= S)

Therefore, the expression log_b (9/4) in terms of G and S is S-G

Learn more about logarithm rules on:

brainly.com/question/28596566

#SPJ1

6 0
1 year ago
Need help with this problem. Help me please!
tangare [24]
The answer would be 95
7 0
3 years ago
Read 2 more answers
Jenna sells apples and pears. If 20 apples and 60 pears re sold every hour, there will be 80 pears when all the apples are sold.
lutik1710 [3]

Answer:

There are 1,360 pears.

Step-by-step explanation:

Suppose that there are P pears and A apples.

We know that:

"If 20 apples and 60 pears are sold every hour, there will be 80 pears when all the apples are sold."

Suppose that all of these are sold after N hours, then:

20*N = A

80*N = P - 80

We also know that:

"if 60 apples and 20 pears are sold every hour, there will be 400 pears when all the apples are sold."

60*N = A

20*N = P - 400

Then we have four equations:

20*N = A

80*N = P - 80

60*N = A

20*N = P - 400

From the first one and the second one, we get:

20*N = A = 20*N = P - 400

A = P - 400

Now we have 3 equations:

80*N = P - 80

60*N = A

A = P - 400

Now we can just replace the third equation into the second one, then we get:

60*N = A = P - 400

Now we have two equations:

80*N = P - 80

60*N = P - 400

Now, remember that we want to find the number of pears, so we want to find the value of P.

To do it, we can take the quotient of the two equations, so we get:

(80*N)/(60*N) = (P - 80)/(P - 400)

8/6 = (P - 80)/(P - 400)

Now we can solve this for P

(8/6)*(P - 400) = P - 80

(8/6)*P - (8/6)*400 = P - 80

(8/6)*P - P = (8/6)*400 - 80

(2/6)*P = (8/6)*400 - 80

P = (6/2)*( (8/6)*400 - 80 )

P = 3*( (8/6)*400 - 80 ) = 1,360

There are 1,360 pears.

3 0
2 years ago
One senior from the high schools will be selected at random. What is the probability that the senior selected will not be from h
DochEvi [55]

Using the probability concept, it is found that there is a 0.7361 = 73.61% probability that the senior selected will not be from high school b given that the senior responded with a choice other than college.

<h3>What is a probability? </h3>
  • A <em>probability </em>is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

Researching the problem on the internet, it is found that:

  • 538 seniors responded with a choice other than college.
  • Of those students, 99 + 83 + 49 + 31 + 63 + 71 = 396 are not from high school b.

Hence:

p = \frac{396}{538} = 0.7361

0.7361 = 73.61% probability that the senior selected will not be from high school b given that the senior responded with a choice other than college.

You can learn more about the probability concept at brainly.com/question/26148436

8 0
3 years ago
How many solutions does the following equation have? (5 points)<br> 4x+ 12 = 0
zhenek [66]
One solution ! Which is x=-3
8 0
3 years ago
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