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Salsk061 [2.6K]
2 years ago
7

lisa drank 1/3 quart of orange juice and lane drank 1/2 quart of orange juice. how many quarts did they drink together

Mathematics
1 answer:
mezya [45]2 years ago
4 0

Answer:

\frac{5}{6} quarts

Step-by-step explanation:

Total amount of drinks = \frac{1}{3} + \frac{1}{2}

You would want to make the denominators the same before adding them, so I will multiply the first fraction by 2 and the second one by 3 so their denominators are 6.  

\frac{1}{3} + \frac{1}{2} = \frac{2}{6} + \frac{3}{6}

Now we can directly add them together while keeping the denominator the same.

\frac{2}{6} + \frac{3}{6} = \frac{5}{6} quarts  

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1-25. Given f(x) =- 2/3x +3 and g(x) = 2x2 - 5, complete parts (a) through (f).
Korolek [52]

Answer:

When f or g are equivalent to a number you are solving for x. For example b, d, e, f. In the equation g(x) =2x2-5 I assumed 2 was a typo. So, if it's incorrect, please use same steps and just adjust the solution.

Step-by-step explanation:

f(x)=-\frac{2}{3x}+3

a) f(3)=-\frac{2}{2(3)} +3

           =-\frac{1}{3}+3 =\frac{-1+6}{3} =\frac{5}{3}

b) f(x)=-5

      -5=-\frac{2}{3x}+3

      -8=-\frac{2}{3x}

  -24x=-2

        x=\frac{1}{12}

g(x)=2x-5

c) g(-3)=2(-3)-5

               =-6-5

               =-11

d) g(x)=-7

      -7=2x-5

      -2=2x

        x=-1

e) g(x)=8

        8=2x-5

       12=2x

        x=6

f)  g(x)=9

         9=2x-5

        11=2x

         x=\frac{11}{2}

3 0
3 years ago
20 POINTS!!!!
Lostsunrise [7]
15/4 - 6/5 , 300/20 -24/20, 276/20, 69/5
6 0
3 years ago
Read 2 more answers
A movie theatre has 26 rows of seats.There are 18 seats in each row.How many seats are there in all?
lawyer [7]
468 seats is the answer.

26 x 18

or

13 x 2 x 9 x 2

both equal 468
5 0
3 years ago
A small combination lock on a suitcase has 4 ​wheels, each labeled with the 10 digits 0 to 9. how many 4 digit combinations are
tamaranim1 [39]
This is the easiest way to solve this problem:

Imagine this represents how many combinations you can have for each of the 4 wheels (each blank spot for one wheel): __ __ __ __

For the first situation it says how many combos can we make if no digits are repeated.
We have 10 digits to use for the first wheel so put a 10 in the first slot 
10 __ __ __
Since no digit can be repeated we only have 9 options for the second slot
10 9_ __ __
Same for the third slot, so only 8 options
<u>10</u> <u> 9 </u> <u> 8 </u> __
4th can't be repeated so only 7 options left
<u>10</u> <u> 9 </u> <u> 8 </u> <u> 7 
</u><u>
</u>Multiply the four numbers together: 10*9*8*7 = 5040 combinations


For the next two do the same process as the one above.

If digits can be repeated? You have ten options for every wheel so it would look like this: <u>10</u> <u>10</u> <u>10</u> <u>10
</u>
10*10*10*10 = 10,000 combinations

If successive digits bust be different?
We have 10 for the first wheel, but second wheel only has 9 options because 2nd number can't be same as first. The third and fourth wheels also has 9 options for the same reason.

<u>10</u> <u> 9</u><u> </u> <u> 9 </u> <u> 9 </u>

10*9*9*9 = 7290 combinations






8 0
2 years ago
Radical exponent definition
kaheart [24]

Answer:

a fractional exponent in which the numerator of the fractional exponent is the power of the base and the denominator of the fractional exponent is the index of the radical.

Step-by-step explanation:

3 0
1 year ago
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