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Anna007 [38]
4 years ago
10

What two mixed numbers between 3 and 4 have a product of 9 and 12

Mathematics
1 answer:
dlinn [17]4 years ago
8 0
It's a trick question. There are an infinite number of mixed numbers between 3 and 4 that can multiply to equal 12 (for example, 3 and 3/7 times 3 and 1/2), but there are no mixed numbers between 3 and 4 that can multiply to equal 9. 3 times 3 is not between them but is 3, but that quantity is excluded because 3<x<4. Anything even a small bit above the number 3 would have to be multiplied by 2 and some fraction, which would not be between 3 and 4.
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Stefan sells Jim a bicycle for $175 and a helmet for $17. The total cost for Jim is 160% of what Stefan spent originally to buy
Nady [450]

Answer:

Stefan spend $120 originally.

Stefan made $72 by selling bicycle and helmet to Jim.

Step-by-step explanation:

Given:

Cost of bicycle = $175

Cost of Helmet = $17

Percent of total cost of Jim = 160% of original cost of Stefan

We need to find the Amount Stefan spend originally and money he made by selling the bicycle and helmet to Jim.

Solution:

Let the Amount Stefan spend originally be 'x'.

Total Cost of Jim is equal to sum of Cost of bicycle and Cost of Helmet.

framing in equation form we get;

Total Cost of Jim = 175+17 =\$192

Now we know that;

Total Cost of Jim is equal to 160% of  Amount Stefan spend originally.

framing in equation form we get;

192 = \frac{160}{100}\times x\\\\192 =1.6x

Dividing both side by 1.6 we get;

\frac{192}{1.6}=\frac{1.6x}{1.6}\\\\x= \$120

Hence Stefan spend $120 originally.

Now we can say that;

Money Stefan made is equal to Money Stefan spend originally minus Total Cost of Jim.

framing in equation form we get;

Money Stefan made = 192-120 =\$72

Hence Stefan made $72 by selling bicycle and helmet to Jim.

7 0
3 years ago
Given a real number x and a positive integer k, determine the number of multiplications used to find x2k starting with x and suc
Alex

Answer: It is a more efficient way to find x2k than by multiplying x by itself the appropriate number of times.

Step-by-step explanation: Please find the attached file for the solution

8 0
3 years ago
When a cold drink is taken from a refrigerator, its temperature is 5°C. After 25 minutes in a 20°C room its temperature has incr
Andrews [41]

Answer:

  (a)  13.85 °C

Step-by-step explanation:

The temperature difference is a decaying exponential function of time. Here, it decreases from an initial difference of 15 °C to 10 °C after 25 minutes. So, that temperature difference can be modeled as ...

  ΔT = 15(10/15)^(t/25)

We want to find the value of this at t=55. It is ...

  ΔT = 15(2/3)^(55/25) ≈ 6.15

This is the amount the temperature of the drink is below room temperature.

  drink temperature = (20 - 6.15) °C = 13.85 °C

The temperature of the drink after 55 minutes is about 13.85 °C.

3 0
3 years ago
A parking facility has five parking levels and a parking lot. If each level has 75
Pachacha [2.7K]
Multiply 75*5 to get 375

then add 120 from the lot to get 495
4 0
3 years ago
Read 2 more answers
When you divide a number by 1/2, the result is
Nikitich [7]
Let us analyze the following situation: The number we want to divide by 1/2 is X. We can write:
X/(1/2)=(X/1)/(1/2)=(X*2)/(1*1)= X*2,
which means that the number that is divided with 1/2 is multiplied by 2 (twice the original number).
W<span>hen you divide a number by 1/2, the result is twice the original number . Answer:B</span>
6 0
4 years ago
Read 2 more answers
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