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Usimov [2.4K]
1 year ago
5

Question 12 pts

Mathematics
1 answer:
AlexFokin [52]1 year ago
4 0

The correct option about the proof is C. Both Amanda and Stephen are correct.

<h3>How to illustrate the information?</h3>

It should be noted that both Amanda and Stephan are correct as they are taking two different pairs of supplementary angles.

Amanda's proof is that he takes (∠1 and ∠4) and (∠3 and ∠4)as the supplementary angles and writes ∠1 + ∠4 = 180° and ∠3 + ∠4 = 180°,

Stephan's proof is that he takes (∠1 and ∠2) and (∠3 and ∠4) as the <em>supplementary</em> angle pair.

Therefore, the correct option is C.

Learn more about proof on:

brainly.com/question/1788884

#SPJ1

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A boy starts the week with 3kg of rice, every day he cooks 0.6kg. How much rice will he have left after 4 days?
almond37 [142]

Answer:

1.8 Kg

Step-by-step explanation:

a week- 3kg rice

every day-0.6 kg rice

therefore, multiply 3 kg by 0.6kg

3kg x 0.6kg =1.8 kg

he will have 1.8 kg rice after 4 days

have a great day !

5 0
2 years ago
f x + y is rational, must x and y each be rational? A) Yes; because the sum of rationals is rational. B) No; because the sum of
Rudik [331]
The answer is D) Yes; because x and y must be integers, and integers are rational.
7 0
3 years ago
Which expression uses the associative property to make it easier to evaluate? (50points)
Naily [24]

The correct answer is option 4: (8.\frac{1}{4}).\frac{3}{5}

Step-by-step explanation:

Given expression is:

8.(\frac{1}{4}.\frac{3}{5})

The associative property states that for any three terms that are being multiplied, different order of multiplication (i.e. which two terms are multiplied first) will give the same answer.

Let a,b and c be the three terms

then

a.(b.c) = (a.b).c

So applying the associative property on given expression

8.(\frac{1}{4}.\frac{3}{5}) = (8.\frac{1}{4}).\frac{3}{5}

Hence,

The correct answer is option 4: (8.\frac{1}{4}).\frac{3}{5}

Keywords: Associative property, Properties

Learn more about associative property at:

  • brainly.com/question/9729310
  • brainly.com/question/9738996

#learnwithBrainly

5 0
3 years ago
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
Help me lawd!!!!!!!jkdmfkfm
Klio2033 [76]
This is equivalent to:

(2.2533/2.59)(10^8/10^4)

(0.87)(10^4) which is:

0.87X10^4  which is equal to:  

0.87X10000 which is equal to:

8.7X1000  and since 1000=10^3 we can say:

8.7X10^3
6 0
3 years ago
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