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melomori [17]
3 years ago
11

Please help ASAP 40 pts + brainliest to right/best answer

Mathematics
2 answers:
Step2247 [10]3 years ago
8 0
Use properties of logs

log( \frac{5x}{4y} ) \\ log(5x) - log(4y) \\( log(5) + log(x)) -( log(4) + log(y) )

distribute the negative

your answer is B
Ivan3 years ago
4 0

Because it is a fraction ( division) rewrite as:

log (5x) - log (4y)

Rewrite log 5x as log 5 + log x

Rewrite log 4y as log 4 + log y

Now you have log 5 + log x  - log 4 + log y

Apply distributive property:

log 5 + log x - log 4 - log y


The answer is B.


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Toys R Us is having a 38% off sale on all their backpacks. If a backpack normally costs $22.00, how much will it be on sale?
UkoKoshka [18]
13.64
22.00 * .38 = 8.36
22.00 - 8.36 = 13.64
4 0
4 years ago
Read 2 more answers
Choose the solution to this inequality.
Mnenie [13.5K]

Answer:

A y < -1/2

Step-by-step explanation:

4/3 < -8/3 y

Multiply both sides by 3

3×4/3 < 3× -8/3 y

4  < - 8y

Divide both sides by -8

4/-8 > -8y/-8

The inequality sign changes by dividing by negative

-1/2 > y   is same as y < -1/2

Therefore

y < -1/2

I hope this was helpful, please mark as brainliest

7 0
3 years ago
One Friday night, a group of friends bought 5 containers of popcorn and 4 granola bars at the movie theatre for $42. 50. The nex
astra-53 [7]

The cost of one container of popcorn and granola is $6.5 and $2.5.

<h2>Linear system</h2>

It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.

Given

A group of friends bought 5 containers of popcorn and 4 granola bars at the movie theatre for $42.50.

The next week, the same group of friends bought 3 containers of popcorn and 6 granola bars for $34.50.

<h3>To find </h3>

The equation and solution of the equation.

<h3>How to get it?</h3>

Let p represent the cost of one container of popcorn.

Let g represent the cost of one granola bar.

A group of friends bought 5 containers of popcorn and 4 granola bars at the movie theatre for $42.50.

5p + 4g = 42.50 .....1

The next week, the same group of friends bought 3 containers of popcorn and 6 granola bars for $34.50.

3p + 6g = 34.50 .....2

From Equations 1 and 2, we have

p = 6.5  and  g = 2.5

Thus, the cost of one container of popcorn and granola is $6.5 and $2.5.

More about the linear system link is given below.

brainly.com/question/20379472

8 0
3 years ago
The mean breaking strength of a ceramic insulator must be at least 10 psi. The process by which this insulator is manufactured m
olga nikolaevna [1]

Answer:

H0: u ≥ 9.5

Ha:  u < 9.5

Step-by-step explanation:

The null hypothesis and the alternate hypothesis are reverse of each other.

The claim is either set as the null or alternate hypothesis

The null hypothesis  is : H0: u ≥ 9.5  the mean breaking strength of a ceramic insulator is at least 9.5 which is considered equivalent to the standard.

The alternate hypothesis is: Ha:  u < 9.5 the mean breaking strength of a ceramic insulator is less than 9.5 which is  not considered equivalent to the standard.

6 0
3 years ago
The number of corn stalks in each row of field can be modeled by arithmetic sequence.The 5th row in this field has 36 corn stalk
Mice21 [21]

Answer:

a_{n}=20+4(n-1)

Step-by-step explanation:

It is given that the number of corn stalks in rows of the field can be modeled by an arithmetic sequence.

The 5th row has 36 corn stalks. This means 5th term of the sequence is 36. i.e.

a_{5}=36

The 12th row has 64 stalks. So,

a_{12}=64

In order to write the explicit rule we need to find the first term(a1) and common difference(d) of the sequence.

The explicit rule for the arithmetic sequence is of the form:

a_{n}=a_{1}+(n-1)d

Writing the 5th and 12th term in this way, we get:

a_{5}=a_{1}+4d

a_{1}+4d=36                                                     Equation 1

Similarly for 12th term, we can write:

a_{1}+11d=64                                                     Equation 2

Subtracting <u>Equation 1</u> from <u>Equation 2</u>, we get:

7d = 28

d = 4

Using the value of d in <u>Equation 1</u>, we get:

a_{1}+4(4)=36\\\\ a_{1}=20

Thus, for the given sequence first term is 20 and common difference is 4. Using these values in the general explicit rule, we get:

a_{n}=20+4(n-1)

7 0
3 years ago
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