A ball bounces three-fourths the height of its fall. the ball bounces 12ft.,how high does it bounce on the first bounce?

How many times does 4 go into 30

Leto [7]

The answer is 7 times 4 goes into 30.

<u>Step-by-step explanation</u>:

To check how many times a number goes into a larger number, use division.
Divide 30 by 4.

⇒ 4 $\times$ 7 = 28 and 30-28 = 2

⇒ The quotient is 7.

⇒ The remainder is 2.

So, the number 4 goes 7 times into 30.

6 0

3 years ago

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

2 over 7x +8=22 solve for x

yanalaym [24]

In this question the answer is x is equal to exactly 1.749... Or 1.75

4 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

The population of bacteria in a petri dish doubles every 24 h. The population of the bacteria is initially 500 organisms. How lo

liberstina [14]

Answer:

16.34 hours

Step-by-step explanation:

According to the given information we can see that the case is of exponential growth

Hence, we will use the formula

$A=P(2)^\frac{t}{24}$