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2 months ago

Guest #2078

2 months ago

First we have to find the total amount of savings on the bicycle, which we can find by adding together the sale discount and Baron's employee discount.

25% + 10% = 35%

Because this is an estimate, we are going to round the bicycle's price to $250.00.

Because we know that Baron gets a 35% discount, we can assume that he is paying for 65% (0.65) of the bike's original price.

0.65 * 250 = $162.50

Therefore, a reasonable estimate of the price Baron must pay to buy the bicycle is**$162.50.**

25% + 10% = 35%

Because this is an estimate, we are going to round the bicycle's price to $250.00.

Because we know that Baron gets a 35% discount, we can assume that he is paying for 65% (0.65) of the bike's original price.

0.65 * 250 = $162.50

Therefore, a reasonable estimate of the price Baron must pay to buy the bicycle is

Question

Which list of numbers is in order from least to greatest?
3/6 3/10 3/7

Solution 1

The answer would be 3/10, 3/7, 3/6.

This is because if you convert each of these into percentages you can find the answer very easy. 3/6 is obviously exactly half so that would be 50%.

3/10 is split into tenths so 3 of those would be 30%.

3/7 needs to be divided so 3 divided by 7 is equal to 43%.

The lowest is the 30% or the 3/10.

The middle number would be 43% or 3/7.

The highest number is 50% or 3/6.

It says to order them from least to greatest so take the lowest which is 3/10 then put the middle number which is 3/7 then the highest which is 3/6.

Your final answer is: 3/10, 3/7, 3/6.

This is because if you convert each of these into percentages you can find the answer very easy. 3/6 is obviously exactly half so that would be 50%.

3/10 is split into tenths so 3 of those would be 30%.

3/7 needs to be divided so 3 divided by 7 is equal to 43%.

The lowest is the 30% or the 3/10.

The middle number would be 43% or 3/7.

The highest number is 50% or 3/6.

It says to order them from least to greatest so take the lowest which is 3/10 then put the middle number which is 3/7 then the highest which is 3/6.

Your final answer is: 3/10, 3/7, 3/6.

Solution 2

The list of numbers from least to greatest is

3/10 , 3/7, 3/6

This is because the numerator stays the same across all three of these fractions. However, the denominator is changing, and this proves to be a large difference.

Think about it this way: If you cut a pie into ten pieces, then those slices are going to be smaller than if you cut the pie into seven or six pieces.

3/10 , 3/7, 3/6

This is because the numerator stays the same across all three of these fractions. However, the denominator is changing, and this proves to be a large difference.

Think about it this way: If you cut a pie into ten pieces, then those slices are going to be smaller than if you cut the pie into seven or six pieces.

Question

a new parking lot is being built for a medical office. the expression representing the number of parking spots in the new lot is 15x/4-9 where x represents the number of parking lots in the first row. how many spots are in the parking lot if there are 32 parking spots in the first row?

Solution 1

**Answer:**

**The number of spots in the parking lot if there are 32 parking spots in the first row =111.**

**Step-by-step explanation:**

We are given that a new parking lot is being built for a medical office.

We are given that

The expression representing the number of parking spots in the new lot =

Where x= The number of parking lots in the first row

We have to find number of spots in the parking lot when parking spots in the first row is 32.

The number of parking spots in the first row =x=32

Substitute the value of x in the given expression then we get

Number of spots in the parking lot =

Number of spots in the parking lot=

The number of spots in the parking lot=120-9

The number of spots in the parking lot=111.

**Hence, the number of spots in the parking lot if there are 32 parking spots in the first row=111.**

Solution 2

111 parking spots. 15x32 = 480 480 divided by 4 is 120 and 120 - 9 = 111

Question

A juice box is 4 inches tall, 1 inch wide and 2 inches long. How much juice fits inside the juice box? Should I use volume or surface area for this equation and then solve it.

Solution 1

Volume, your putting juice in the box

Also, answer for the question: V = 8 in^3

Also, answer for the question: V = 8 in^3

Solution 2

You would use volume, because your fitting something in not around

Question

Real world problem for 3 + 2/3x = 5/6x - 7/8

Solution 1

The answer to your problem is 93/4 or if u have to simplify it it will be 23.25

Question

A roll of one die has six possible outcomes. Use the product counting principle to determine the total number of outcomes for a toss of two die explain your response

Solution 1

There are 36 possible outcomes.

There are 6 outcome for the first die and 6 outcomes for the second die. The fundamental counting principle states that to find the total number of outcomes of these independent events, we multiply:

6(6) = 36

There are 6 outcome for the first die and 6 outcomes for the second die. The fundamental counting principle states that to find the total number of outcomes of these independent events, we multiply:

6(6) = 36

Question

a $1,400 loan has a simple annual interest rate 4%. how much simple interest is paid on the loan for 1 year?

Solution 1

+56 dollars more on year one

Question

the point (-3,2)is on the line given by which equation below A. y = 3x B.y = x-5 C.y = x+5 D.y = - 3 x need asap

Solution 1

The answer is C. y=x+5

Question

A system of equations is shown below: Equation A: 4c = d − 8 Equation B: c = 5d + 8 Which of the following steps should be performed to eliminate variable d first? A. Multiply equation B by 4
B. Multiply equation A by -5
C. Multiply equation A by 4
D. Multiply equation B by 5

Solution 1

Equation A: 4c = d − 8

Equation B: c = 5d + 8

Multiply Equation A by -5:

Equation A: - 20c = -5d + 40

Equation (1) + (2) :

-19c = 48

**Answer: ****B. Multiply equation A by -5**

Equation B: c = 5d + 8

Multiply Equation A by -5:

Equation A: - 20c = -5d + 40

Equation (1) + (2) :

-19c = 48

Question

The baseball team has a double-header on Saturday. The probability that they will win both games is 18%. The probability that they will win just the first game is 60%, What is the probability that the team will win the 2nd game given that they have already won the first game?

Solution 1

Let the event to win the first game is F and to win the second game is S.

This question is from **conditional probability **and hence we use the below formula.

Now, we have been given that

On substituting these given values in the formula, we get

**Therefore, the probability for winning the second game is 30%**

Solution 2

I got 30%

60% as a decimal is 0.6

18% as a decimal is 0.18

0.6 times 30% or 0.3 is 0.18

60% as a decimal is 0.6

18% as a decimal is 0.18

0.6 times 30% or 0.3 is 0.18

Question

A warden meets with 23 prisoners. He tells them the following: Each prisoner will be placed into a room numbered 1-23. Each will be alone in the room, which will be soundproof, lightproof, etc. In other words, they will NOT be able to communicate with each other.
They will be allowed one planning session before they are taken to their rooms.
There is a special room, room 0. In this room are 2 switches, which can each be either UP or DOWN. They cannot be left in between, they are not linked in any way (so there are 4 possible states), and they are numbered 1 and 2. Their current positions are unknown.
One at a time, a prisoner will be brought into room 0. The prisoner MUST change one and only one switch. The prisoner is then returned to his cell.
At any time t, given some N>0, there exists a finite t_0 by which time every prisoner will have visited room 0 at least N times. (In other words, there is no fixed pattern to the order or frequency with which
prisoners visit room 0, but at any given time, every prisoner is guaranteed to visit room 0 again. If you’re still confused by this statement, ignore it, and you should be ok).
At any time, any prisoner may declare that all 23 of them have been in room 0. If right, the prisoners go free. If wrong, they are all executed.
What initial strategy is 100% guaranteed to let all go free?

Solution 1

The prisoners could do a pattern that could signal who has already been in the room. So for example, one light off, both lights off, one light on, both lights off. But with left and right lights to make the sequence last as long as possible. Then after that sequence to have the last one be the signal that everyone has been in there. I dunno this is tricky lol

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