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4 years ago

Log(5)(x+4)+log(5)(x+2)=log(5)(7x+10)

1 answer:

7 0

<span>Combine the logarithms first: log5(4x+3)-log5(x-1). Since it's subtract, divide the two.

log5((4x+3)/(x-1))=2

Make both sides the exponent of five. 5^log5 cancels out.

5^(log5(4x+3/x-1))=5^2

4x+3/x-1=25

Multiply both sides by (x-1) to get rid of it under 4x+3.

(x-1)4x+3/x-1=25(x-1)

4x+3=25x-25

Now subtract 4x from both sides AND add 25 to both sides. This way you'll have all the x's by itself.

28=21x

Divide both sides by 21.

28/21=x

x=1.33333333333...

</span>

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One month Ravi rented4 movies and8video games for a total of $57 The next month he rented2 movies and3 video games for a total o

e-lub [12.9K]

SOLUTION

Given the question in the question tab, the following are the solution steps to get the rental cost for each movie and each video game.

Step 1: Write the representation for the two rentals

Let m represents movies

Let v represent video games

Step 2: Write the statements in form of a mathematical equation

$\begin{gathered} \text{Month 1: }4m+8v=57 \\ \text{Month 2: }2m+3v=23 \end{gathered}$

Step 3: Solve the equations above simultaneously using elimination method to get the values of m and v

$\begin{gathered} 4m+8v=57----(1) \\ 2m+3v=23----(2) \\ \text{ multiply equation 1 by 2 and equation 2 by }4 \\ 8m+16v=114----(3) \\ 8m+12v=92----(4) \\ \text{subtract equation (4) from equation (3)} \\ 4v=22 \\ v=\frac{22}{4}=5.5 \\ \text{Substitute 5.5 for v in equation 1 to get the value of m} \\ 4m+8v=57 \\ 4m+8(5.5)=57 \\ 4m+44=57 \\ 4m=57-44=13 \\ m=\frac{13}{4}=3.25 \\ m=\text{\$}3.25,v=\text{\$}5.50 \end{gathered}$

Rental cost for each movies is $3.25

Rental cost for each video games $5.50

8 0

2 years ago

Please help this is due today!!

LUCKY_DIMON [66]

Answer:

Answer is C

Hope this helped!

7 0

3 years ago

Lauren earn to 4.50 an hour babysitting how much will she earn in 3.5 hours

fredd [130]

$4.50 x 3.5 = $15.75.

Hope This Helps You!
Good Luck Studying :)

5 0

4 years ago

Tye is making some trail mix Based on a recipe that combines 2 cups of nuts with 3 cups of granola. If Tye Has 6 cups of nuts, h

WINSTONCH [101]

Answer:

9 cups

Step-by-step explanation:

Ratio of cups of nuts to cups of granola = 2:3

This means that total ratio = 2+3 = 5

Proportion of nuts = 2/5

Proportion of granola = 3/5

So, if Tye has 6 cups of nuts, then 6 represent a proportion of 2/5

then 3/5 would represent how many cups? = $\frac{3}{5} *6 * \frac{5}{2}\\ \\$

The 5 at the top and 5 at the bottom cancel out and you are left with;

=(3*6) /2

=18 /2

= 9 cups

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3 years ago

I bought something for $89 in Wyoming the sales tax is 3.56. What is the state sales tax in Wyoming

Levart [38]

The sale tax is 3.56 or 4.000% depending on how much you spent

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4 years ago