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matrenka [14]
3 years ago
7

Please help with these two math problems 1. 7^x ÷ 7^y = 2. z^10x^y ÷ z^5 =

Mathematics
1 answer:
IceJOKER [234]3 years ago
8 0

Answer:

  1.  7^(x-y)

  2. z^5x^y

Step-by-step explanation:

The applicable rule of exponents is ...

  (a^b)/(a^c) = a^(b-c)

__

1.

  \dfrac{7^x}{7^y}=\boxed{7^{x-y}}

__

2.

  \dfrac{z^{10}x^y}{z^5}=x^yz^{10-5}=\boxed{z^5x^y}

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What is the value of r, the part of the job that Marina can complete in 1 hour?
EastWind [94]

Answer:

0.4

Step-by-step explanation:

so, Katherine can do 0.1 of the job per hour. (if she needs 10 hours for the job, each hour she can do the whole divided by the time, so 1/10, which is 0.1)

if in two hours she and Marina can be done, then Marina will do 1(the whole job)-2/10 (twice as much as she can do in an hour)=0.8 of the job. So if Marina does 0.8 of the job in two hours, each hour she will do half of it: 0.4 - and this is the correct answer 

5 0
4 years ago
the sales price for a bicycle $315. the original price was first discounted by 5o% and then discounted by 10%. find the original
VMariaS [17]

Answer:

?× ( 1 − 50/ 100 ) × ( 1 − 10/ 100 ) = $ 315            ? = $ 315 /( .5 ) ( .9 ) = $ 700

Step-by-step explanation:

5 0
3 years ago
Find the equation of the line tangent to the graph at y=e^x at x =a
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3 0
4 years ago
Read 2 more answers
The odds of winning a teddy bear are 5:8. The probability of winning a framed picture is 43%. For which do you have a better cha
Serhud [2]

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I'd say you had a better chance going 5:8

4 0
3 years ago
Two families went to the event. The first family bought two children's tickets and one adult ticket and paid a total of 8.2 euro
blagie [28]

Answer:

Step-by-step explanation:

step a system of two equations         c = child ticket     a = adult ticket

eq 1)  2c + 1a = 8.2            multiply by 2

eq 2) 3c + 2a = 14.1

I will multiply eq 1 times TWO and subtract eq 2 from eq 1a)

         eq 1a)  4c + 2a = 16.4

          eq 2)  3c + 2a = 14.1

subtract  (4c - 3c) + (2a -2a)  = 16.4 - 14.1  

                    c      +       0       =   2.3 euros     for one child ticket

Now find the adult ticket price,  plug 2.3 for c into eq 1)

     eq 1)  2c + 1a = 8.2

     eq 1)  2(2.3) + 1a = 8.2         solve for a

                 4.6  + a   =  8.2         substract 4.6 from both sides

                             a =  8.2 - 4.6

                               =   3.6 euros    for one adult ticket

double check using eq 2)    we know c and a values

    eq 2)  3c + 2a = 14.1

    eq 2)  3(2.3) + 2(3.6) = 14.1

                   6.9 + 7.2    =  14.1

                          14.1    =  14.1

5 0
3 years ago
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