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Galina-37 [17]
2 years ago
5

Leah's family traveled 5/7 of the distance to her grandmother’s house on Saturday. They traveled 1/2 of the remaining distance o

n Sunday. What fraction of the total distance to her grandmother’s house was traveled on Sunday?
Mathematics
2 answers:
Paul [167]2 years ago
7 0

Answer: 3/14

Step-by-step explanation:

They traveled 5/7 of the distance on Saturday and 1/2 of the remaining distance, 3/7 , on Sunday so...

(1/2)(3/7)= 3/14

Hope this helps :)

Wewaii [24]2 years ago
6 0

Answer:

 

Step-by-step explanation:

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a manufacturer has determined that if his company sells x items per day then their profit is given by P=-x^2+ 700 x-10000 euros.
Radda [10]

Answer:

15

Step-by-step explanation:

To find the minimum amount of items, x, that need to be sold for the manufacturer to make a profit, we can use the quadratic formula

x = \frac{-b+\sqrt{b^{2}-4ac } }{2a}; x=  \frac{-b-\sqrt{b^{2}-4ac } }{2a}

x= \frac{-700+\sqrt{700^{2}-4(a)(-10000) } }{2(1)}; x= \frac{-700-\sqrt{700^{2}-4(a)(-10000) } }{2(1)}

x= \frac{-700+\sqrt{530000} }{2}; x= \frac{-700-\sqrt{530000} }{2}

x=\frac{-700+100\sqrt{53} }{2}; x=\frac{-700-100\sqrt{53} }{2};

x=-350 + 50\sqrt53 = 14.005; x = -350 - 50\sqrt53 = -714.005

In context of the problem, we can only rely on the positive value, as the negative value would lead to a loss of profit.

(-714.005)^2+700(-714.005)-10000=-0.360

Furthermore, we must round to the nearest whole number, as you cannot make part of an item.

Lastly, if you were to plug in 14 into the equation for Profit, you would still have a negative number (i.e. a negative profit), thus requiring the manufacturer to make no less than 15 items to make a profit:

(14)^2+700(14)-10000=-4\\\\(15)^2+700(15)-10000=725

3 0
2 years ago
How do you solve the system of equations for y=2x-4 y=4x-10?
SVEN [57.7K]
Set the equal to each other

2x-4=4x-10
6=2x
x=3
y=2(3)-4
  =6-4
y =2
8 0
4 years ago
If the sum of four consecutive numbers is 854, what is the third one?
lukranit [14]

Answer:

214

Step-by-step explanation:

The set up would be x + (x + 1) + (x + 2) + (x + 3) = 854, naturally as the numbers are consecutive. Solving for x:

x + (x + 1) + (x + 2) + (x + 3) = 854,

x + x + 1 + x + 2 + x + 3 = 854,

4x + 1 + 2 + 3 = 854,

4x + 6 = 854,

4x = 854 - 6 = 848,

x = 848/4 = 212

The third number then should be 212 + 2 = 214

7 0
4 years ago
Х = 4<br> 3х — у = -1<br> How to solve ?
elena-s [515]
3+ - 1 I hole this helped
7 0
3 years ago
45x to the 3rd power y divided by 9xy
earnstyle [38]

45x to the 3rd power y divided by 9xy


5x to the 3rd power y

3 0
3 years ago
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