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nataly862011 [7]
2 years ago
9

Please help, thank you :)

Mathematics
1 answer:
wolverine [178]2 years ago
7 0

Answer:

y^6

Step-by-step explanation:

\frac{y}{1} \times   \frac{{y}^{5} }{1}

=

{y}^{6}

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The interior angles formed by the sides of a hexagon have measures that sum to 720 degrees. What is the measure of angle F?
aniked [119]
The sum of the angles shown is ...
  720° = 3x + 240°
Then
  480° = 3x
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Angle F = 160° -20° = 140°
8 0
3 years ago
Read 2 more answers
What is the y-coordinate of the solution to this system of equations?<br> 5x-8y=1<br> 3x+6y=-21
Vanyuwa [196]

5x-8y=1...(1)
3x+6y=-21...(2)

(1)*3:
15x-24y=3...(3)

(2)*5:
15x+30y=-105...(2)

(3)-(2):
15x-24y-(15x+30y)=3-(-105)
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6 0
3 years ago
When making a fruit salad, a chef chooses 7 fruits from 10 that are in season. how many different fruit salads can the chef crea
Furkat [3]
For this example, we must combine not permutate; this because a salad in which you first use apple then tomato is the same as the one in which you use first tomato then apple, so order does not matter.

Me must do "10 combine 7" which is written by the binomial coefficient (_{7} ^{10}); in general a binomial coefficient is written by:
(_{k} ^{n})= \frac{n!}{k!(n-k)!}

In which n and k are positive integers, such that n\ \textgreater \ k.

So, for this problem:
(_{7} ^{10})= \frac{10!}{7!(10-7)!}=\frac{10!}{7!3!}= \frac{10*9*8}{3*2}=10*3*4=120

Hence, there are 120 different ways to make the fruit salad.
5 0
3 years ago
Mark has $16 to buy lunch for himself and his sister. He wants to buy at least one sandwich and one bag of chips. Sandwiches cos
faltersainse [42]

Answer:

Victor runs a small sandwich shop. He decides to start offering bags of chips to his customers. He finds a supplier where he can buy chips for $0.30 per bag. Victor needs to determine how much to charge for the chips at his shop. He does some research by talking to other nearby sandwich shop owners. The table below shows their sales per week for two different prices. (The values are: 150 bags sold, for $1.00 per bag, and 350 bags sold, for $0.50 per bag.) Victor believes that there is a linear relationship between the number of bags sold and the price. Victor wants to price the bags of chips so that he will maximize his profits. Determine the price Victor should charge for a bag of chips. Use the equation P(x)=R(x)-C(x), where P(x) represents profit, R(x) represents revenue, and C(x) represents cost. Each is a function of the number of bags of chips sold, x. Round your answer to the nearest nickel.

Step-by-step explanation:

Victor runs a small sandwich shop. He decides to start offering bags of chips to his customers. He finds a supplier where he can buy chips for $0.30 per bag. Victor needs to determine how much to charge for the chips at his shop. He does some research by talking to other nearby sandwich shop owners. The table below shows their sales per week for two different prices. (The values are: 150 bags sold, for $1.00 per bag, and 350 bags sold, for $0.50 per bag.) Victor believes that there is a linear relationship between the number of bags sold and the price. Victor wants to price the bags of chips so that he will maximize his profits. Determine the price Victor should charge for a bag of chips. Use the equation P(x)=R(x)-C(x), where P(x) represents profit, R(x) represents revenue, and C(x) represents cost. Each is a function of the number of bags of chips sold, x. Round your answer to the nearest nickel.

4 0
3 years ago
Find 3 conservative numbers who's sum is 126
anygoal [31]
The 3 consecutive numbers are 41, 42, and 43 : 41+42+43= 126
6 0
3 years ago
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