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Scrat [10]
3 years ago
14

I did the first one but can you help me with the second one plz??

Mathematics
1 answer:
yanalaym [24]3 years ago
5 0

the only like-terms are on the right-hand-side, since the left-hand-side has only 1 term anyway.

\bf \cfrac{5}{2}s=\cfrac{3}{2}s+s\implies \cfrac{5}{2}s=\cfrac{3}{2}s+\cfrac{s}{1}\implies \cfrac{5}{2}s=\stackrel{\textit{using the LCD of 2}}{\cfrac{(1)3s+(2)s}{2}} \\\\\\ \cfrac{5}{2}s=\cfrac{3s+2s}{2}\implies \cfrac{5}{2}s = \cfrac{5}{2}s

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A plane is flying from Albuquerque new Mexico to Austin Texas so far it has flown 161 miles or 23% of the total distance of the
Karo-lina-s [1.5K]

Answer: 700 miles.

Step-by-step explanation:

1. You know that 23% of the total distance of the flight from Albuquerque New Mexico to Austin Texas is 161 miles.

2. Then, keeping that information on mind, you can calculate the total distance of the flight (which you call x) as following:

\frac{161miles}{23\%}=\frac{x}{100\%}

Solve for x. Then, you obtain that the result is:

x=\frac{161miles*100\%}{23\%}\\x=700miles

3 0
3 years ago
Ryan has deposited $100 into a retirement account at the end of every month for 50 years. The interest rate on the account is 1.
Andre45 [30]

Answer:

future payment is $77056.92

total interest is paid after 45 year is  $23056.42

Step-by-step explanation:

Given data

payment (P) = $100

No of installment (n) = 12

rate of interest ( r ) = 1.5 %  i.e. = 0.015

time period (t) = 45 years

to find out

future payment and interest after 45 year

solution

we know future payment formula i.e. given below

future payment = payment × (1+\frac{r}{n})^{nt} - 1) / (r/n)

now put all these value in equation

future payment = $ 100  × (1+\frac{0.015}{12})^{12*45} - 1) / (0.015/12)  

future payment = $ 77056.92

payment paid in 45 year @ $100 total money is paid is 45 × 12 × $100 i.e. = $54000

total interest = future payment  - money paid

total interest = $77056.42 - $54000

total interest = $23056.42

4 0
3 years ago
Which expression shows 36 + 63 as the product of their greatest common factor and the sum of two whole numbers with no common fa
jarptica [38.1K]

Hey!

Hope this helps...

~~~~~~~~~~~~~~~~~~~~~~~~~~

The first thing we know is that all the answers equal 99, so we cannot cross any answer off, however, what we want to know is what answer (after distribution) looks like 36 + 63...

A.) 11(3 + 6) > 33 + 66

Does 33+66 look like 36+63?

NO

B.) 9(4 + 7) > 36 + 63

Does 36+63 look like 36+63?

YES

C.) 11(4 + 5) > 44 + 55

Does 44+55 look like 36+63?

NO

D.) 3(15 + 18) > 45 + 54

Does 45+54 look like 36+63?

NO

So...

The answer is: B.) 9(4 + 7)


4 0
3 years ago
The Roosevelt Branch Library is open daily from 9:00 A.M. until 4:30 P.M., 255 days a year. How many hours in all is the library
kramer

Lets look at the hours they are open from. 9 am - 4:30 pm which is 7 and a half hours a day. Now we multiply 7 1/2 by the number of days they are open, which will be 7 1/2 * 255 = 1,912.5. This means that the library is open 1,912 1/2 hours a year.

I hope I've helped! :)

3 0
3 years ago
Read 2 more answers
Demarco substitutes a value for x in the equation 2x = 4.
MA_775_DIABLO [31]

Answer:

If both sides are equal

Step-by-step explanation:

If both sides are equal and are the same in both sides of the equation, than it is a solution.

For instance, the solution for 2x = 4, is x = 2 because 2(2) = 4 is 4 = 4.

6 0
3 years ago
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