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PolarNik [594]
3 years ago
14

Sarah lost her science book. Her school charges a lost book fee equal to 75% of the cost of the book. Sarah received a notice st

ating that she owed the school $60 for he lost book. How much did the school pay for the book.
Mathematics
1 answer:
Scorpion4ik [409]3 years ago
3 0

Answer: the school paid $80 for the book.

Step-by-step explanation:

Let x represent the amount that the school paid for the book.

Her school charges a lost book fee equal to 75% of the cost of the book. It means that the amount that the school would charge on a book that cost $x is

75/100 × x = 0.75 × x = 0.75x

Sarah received a notice stating that she owed the school $60 for he lost book. It means that

0.75x = 60

x = 60/0.75

x = $80

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A hungry elf ate 35 of your muffins. That was 710 of all of them! With how many did you start?
KengaRu [80]

Answer:

2094.5 muffins

Step-by-step explanation:

The problem is a little bit messy, but i’m guessing you meant that the elf ate 35% of the muffins, which 35% is 710 muffins. so since 35% of muffins is 710 muffins, let’s multiply that by 2 so we can get 70%.

so 710 x 2 is 1420. so 70% of the muffins is 1420 muffins! sadly that’s not all of the muffins. we’re still missing another 30%. since we don’t know how many muffins are in 30%, let’s just take 710 muffins - 5%. when you do that you get 674.5. so now that we know how much is in 30%, let’s take 1420 + 674.5. when you do that you get 2094.5! so you started off with 2094 and a half muffins!

6 0
2 years ago
Which measure of central tendency best describes this situation: the numbers of apples in 2-lb bags?
katrin [286]

Which measure of central tendency best describes this situation:

The number of apples in 2-lb bags?

Solution: The best measure of central tendency to describe the numbers of apples in 2-lb bags is mean. Because the variable under consideration is numeric and probably we would not see outliers in 2-lb bags.

Mean is the defined as the sum of observations divided by the number of observation. The mean takes into account all the observation of the data. Mean is most preferable when the data is numeric and there are no outliers in the data.

Therefore, in the given situation, where we have number of apples in 2-lb bags, the mean will be best to use.

4 0
3 years ago
Use the definition of a derivative to find f’(x).
tatyana61 [14]

Answer:

f'(x) = -\frac{9}{x^2}

Step-by-step explanation:

i) f(x) = 9 / x

ii) f'(x)  = $\lim_{h\to 0} \frac{f(x+h) - f(x)}{h} $  \hspace{0.2cm}

        = $\lim_{h\to 0} \frac{\frac{9}{x+h}  - \frac{9}{x} }{h}  =  \hspace{0.1cm} $\lim_{h\to 0} \frac{9x - 9(x+h)}{hx(x+h)} $ \hspace{0.1cm} =  \hspace{0.1cm}$\lim_{h\to 0} \frac{-9h}{hx(x+h)}  =  $\lim_{h\to 0} \frac{-h}{x(x+h)} = \frac{-9}{x^2}$

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3 years ago
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Answer:

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Step-by-step explanation:

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8 0
3 years ago
What is f(5) if f(1)= 3.2 and f(x+1)=5/2(f(x))
Yanka [14]
F(2) = (5/2)f(1) = 8.0
f(3) = (5/2)f(2) = 20
f(4) = (5/2)f(3) = 50
f(5) = (5/2)*50 = 125
7 0
3 years ago
Read 2 more answers
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