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Nadya [2.5K]
3 years ago
14

Bubba buys a $95 calculator on sale for 30% off. what's the discount and sales price?

Mathematics
1 answer:
Troyanec [42]3 years ago
4 0
Firstly, we multiply 95 by 30% and divide it by 100.
95 * 30/100= 28,5

95-28,5= 66,5
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Solve. Write the solution in interval notation. -2x&gt;-8 and -5x&lt;20.
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Answer:

The interval notation of the solution is (-4 , 4)

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* Let us explain a very important point in solving inequality

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- Ex:

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∴ -2 > -3

* Now let us solve the problem

∵ -2x > -8

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∴ x < 4

∵ -5x < 20

- Divide both sides by -5 and remember to reverse the symbol of the

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∴ x > -4

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∴ -4 < x < 4

∴ The solution is {x : -4 < x < 4}

- Interval notation is a way of writing the solutions of inequalities

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4 years ago
Natalie is playing the Integer Game and only shows you the four cards shown below. She tells you that the rest of her cards have
leva [86]

Missing part of question

(a) If all matching cards will increase her score by 18, what are the matching cards

(b) If all matching cards will decrease her score by 12, what are the matching cards

See attachment for cards

Answer:

(a) 9 card number 2 or 6 card number 3

(b) 6 card number -6

Step-by-step explanation:

Given

The number on the cards are: 2, 3, -6 and 4

Solving (a): An increment of 18

From the card numbers attached, there are 3 positive numbers and 1 negative number

If any of the card numbers is to increase her score, then the card number must be positive. So, we have: card numbers 2, 3 and 4 that fit in this category.

Next, for a card number to give an increment of 18; the card number must be a factor of 18.

So, we have:

\frac{18}{2} = 9

\frac{18}{3} = 6

\frac{18}{4} = 4.5

Only 2 and 3 are factors of 18.

So, Natalie cards are: 9 card number 2 or 6 card number 3

Solving (b): A decrement of 12

If any of the card numbers is to decrease her score, then the card number must be negative. So, we have: card -6 that fit in this category.

Next, is to check if -12 is divisible by -6 (-12 means decrement of 12)

So, we have:

\frac{-12}{-6} = 2

<em>So, Natalie cards are: 6 card number -6</em>

4 0
3 years ago
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