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elena55 [62]
2 years ago
7

Bob and Maria go to the fruit stand together. They have

Mathematics
1 answer:
prohojiy [21]2 years ago
8 0

Answer:

Yes because Bob' total would cost $13 and Maria's would cost $14 which would both be less than the $21 they had to spend.

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In a parallelogram whose area is 15, the base is represented by x+7 and the altitude x-7. Find the base of parallelogram.
Sati [7]
Area = (base)*(height)
15 = (x+7)(x-7)
(x+7)(x-7) = 15
x^2 - 49 = 15
x^2 - 49+49 = 15+49
x^2 = 64
sqrt(x^2) = sqrt(64)
x = 8 ... note that x can't be negative

If x = 8, then the base is...
x+7 = 8+7 = 15

Therefore the base is 15 units. 
(the height is x-7 = 8-7 = 1 unit)

7 0
2 years ago
Solve 2x2 + x − 4 = 0.<br><br><br> x^2 + ____x+____ = 0
alisha [4.7K]

Kate: Please, for clarity, use " ^ " to denote exponentiation: 2x^2 + x − 4 = 0


And please include the instructions.


2x^2 + x − 4 = 0 can be re-written: 2(x^2 + (1/2)x - 2) = 0


Dividing both sides by 2 results in x^2 + (1/2)x - 2 = 0


Let's "complete the square:" x^2 + (1/2)x + (1/4)^2 - (1/4)^2 = 0


Then (x+(1/4))^2 = (1/4)^2


Taking the sqrt of both sides: x+1/4 = plus or minus 1/4


Solving for x: x = -1/4 plus or minus 1/4


Solving for x (continued): x = 0 and x = -1/2

3 0
3 years ago
Read 2 more answers
PLEASE HELP!!! EASY POINTS
SOVA2 [1]

Answer: 50 x


Step-by-step explanation:


4 0
3 years ago
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In a little kingdom, the king and the other 65 citizens each have a salary of one coin. The king cannot vote, but he has the pow
Murljashka [212]

Answer:

Step-by-step explanation:

Step 1: The king begins by proposing that 33 citizens have their salaries doubled to 2 coins, at the expense of the remaining 33 citizens (himself included). 33 citizens will vote "yes" (because they get more salary) and 32 will vote no (because they get less), and the voting passes. After the voting, 33 citizens will have 2 coins each, the other 33 people (including the king himself) has 0 coins.

Step 2: Next, he increases the salaries of 17 of the 33 salaried voters (some to 3 and some to 4 coins) while reducing the remaining 16 to no salary at all. 17 will vote yes and 16 will vote no, and the remaining citizens will not vote (their salary goes from 0 to 0 so they don't care). The voting passes. After the voting, 17 citizens will have 3 or 4 coins, the rest (including the king himself) has 0 coins.

Step 3: the king does the same thing again: he increases the salaries of 9 of the 17 salaried voters while reducing the remaining 8 to no salary at all. 9 will vote yes, 8 will vote no, the rest doesn't vote, and the voting passes. After the voting, only 9 citizens will share the 66 coins, the other 57 people (including the king himself) has 0 coins.

Step 4, 5, and 6: In successive turns, the number of salaried voters falls to 5, 3, and 2. At this stage, only 2 citizens have all the total of 66 coins and no one else (including the king himself) has anything.

Step 7: Finally, the king bribes three citizens with 1 coin each to over throw the two with big salary, and he will keep the rest to himself. The vote will be 3 yes, 2 no, and rest doesn't vote. Thus the king finishes with a royal salary of 63 coins.

More generally, if the original number of citizens (king included) is N, the king can achieve a maximum salary of N-3 coins with this method.

6 0
3 years ago
What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}? 16 – r &gt; 8
avanturin [10]

5,6,7 is the answer to your question. Hope this helps!!

7 0
2 years ago
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