How many degrees does a minute hand move in 35 minutes

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

Which problem will have the greater quotient, 376.0 divided by 92 OR 376 divided by 93.01? Explain how you know logically

xxTIMURxx [149]

1. 376.0 / 92 = ?

2. 376 / 93.01 = ?

So the question asks us which quotient will be greater. In plain English it is asking which of the two, ?, will be greater. Seeing how the question is asking for a logical answer we are not going to actually solve the problem. Instead we will use logic.

First let's do some examples, and explain more in-depth how division works.

A. 6/3 = 2
B. 6/2 = 3

In this case, B is greater than A.

Greater than being any number that is larger than another on a scale reading from left to right, so if you were to count out all the way to the number the one that comes first is lower in value than the one that comes second.

Division works like this: Say we have a full delicious pie. We want to divide it up into 12 pieces so all our friends can have some. What we're doing is simply finding a value that if multiplied by 12 would equal our 1 pie. If you instead divided it by 24 you would have even SMALLER pieces of pie.

A. 5/2
B. 5/3

You might not be able to answer this one, but say our pie is equal to 5. For A. imagine we take a pie and cut it in half. Now for B. imagine a pie and cut it into 3 equal sized pieces. Which one will have the bigger individual pieces? A. will!

Keep in mind that the individual size of the piece would be the quotient (the quotient just means the answer to a division problem).

Now to quickly dismiss the 376.0, When you add 0's to the DECIMAL you do not change the value.
If you did then, 0.0 wouldn't still be 0. Or 1.0 wouldn't still be 1. The .0 is just a place holder and signifies nothing. Don't get this confused with adding a zero to the end of a number, because that does change the value (except in the case of 0). 1 with an extra zero becomes 10, and so on.

So let's tackle this problem!
A. 376.0 / 92
B. 376 / 93.01

In the end the .0 is meaningless so it's the same as this:
A. 376 / 92
B. 376 / 93.01

All we are looking for is the dividend that is smaller. (A dividend being what is dividing a number. In the case of 4/2 the dividend is 2. 5/2, the dividend is 2. 6/3, the dividend is 3. So in other words the dividend is the number after the division symbol, or in this case the slash (they are the same)).

So let's see, which is smaller? 92, or 93.01.
Whichever is smaller is going to have a bigger slice of pie than the other one. So, 92. Is our answer.

Note that this reasoning worked, because the numerator (376) is the same on both division problems. If they differed we wouldn't be able to use the same logic (at least as easily as we did in this problem!).

3 0

3 years ago

Shelly has a bag containing three balls : one red, one yellow, and one green. All balls are likely to be chosen. Shelly will cho

Lilit [14]

The answer is c. Since she has three balls and she is going to chose one is will be 1/3
Hope this helps

5 0

3 years ago

Read 2 more answers

A square has an area of approximately 500 square feet. Which of the following would be the most reasonable estimate of the lengt

vlabodo [156]

Answer:

22.36

Step-by-step explanation:

22.36 X 22.36 =(Approx) 500 feet2

8 0

3 years ago

The first term of a geometric sequence is equal to a and the common ratio of the sequence is r.

ololo11 [35]

Answer: (a) {a, ar, ar², ar³, ar⁴, ar⁵...}, (b) arⁿ⁻¹

For part (a), the question gives us the first term a, and then asks us to apply the common ratio r six times.

In order for ar = a, the nth term of r will have to equal 0 (this implies that n is an exponent; thus giving us the first term a, as r = 1).

Since we use this method on the first term, we must use it for the next five, in which r gains an additional exponent for every consecutive value (nth term) thereafter.

Ultimately getting: {a, ar, ar², ar³, ar⁴, ar⁵...}

For part (b), we first have to understand that the sequence does not start at 0, but at 1 for n. In order for ar = a, with n = 1, there needs to be subtraction of -1 within the exponent. So that arⁿ⁻¹

If we check and apply this, we can see that:

{ar¹⁻¹, ar²⁻¹, ar³⁻¹, ar⁴⁻¹, ar⁵⁻¹, ar⁶⁻¹...} = {a, ar, ar², ar³, ar⁴, ar⁵...} = arⁿ⁻¹ = Tn

4 0

3 years ago