A race car travels at a speed of 230 miles per hour. The race track on which the car is competing is 400 miles long. About how long does it take for the car to finish, disregarding pit stops and yellow flags?
A) 174 minutes
B) 345 minutes
C) 1 hour 45 minutes
D) 2 hours 14 minutes

Answer:

20!

Step-by-step explanation:

trust me i just did this problem! is 20 :)

To calculate the amount of punch Jane can make with 6 cups of plum juice, we need to convert cups to liters and use proportions based on the original juice ratios. She can make approximately 4.8 liters of punch with 1.44 liters of plum juice, 2.4 liters of pear juice, and 0.96 liters of pineapple juice.

Jane's favorite fruit punch consists of pear, pineapple, and plum juices in the ratio 5:2:3. To find out how much punch she can make with only 6 cups of plum juice, we need to set up a ratio based on the original proportions. First, we convert the given amount of plum juice to liters because the original recipe is in liters (1 cup is approximately 0.24 liters). Six cups of plum juice is roughly 1.44 liters.

Using the original ratio of 5:2:3 for pear, pineapple, and plum juice, and knowing that the amount of plum juice is 1.44 liters, we can set up the following proportions:

To find the values of x and y, we use cross multiplication:

By solving these equations, we find x (pear juice) is approximately 2.4 liters and y (pineapple juice) is approximately 0.96 liters. Adding these up, Jane can make a total of 4.8 liters of punch with the available plum juice.

Therefore, the quotient of 67 divided by 4 is 16.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Given that, 67 divided by 4.

Here,

4|67|16

  4

_____

 27

 24

_____

   3

So, the quotient is 16 and the remainder is 3.

Therefore, the quotient is 16.

To learn more about the division visit:

https://brainly.com/question/1575906.

#SPJ2

The length of the Mississippi River is approximately 2,336.8 miles.

If the Mississippi River is about [tex]\( \frac{23}{25} \)[/tex] the length of the Missouri River, and the Missouri River is 2,540 miles long, we can find the length of the Mississippi River by multiplying the length of the Missouri River by [tex]\( \frac{23}{25} \).[/tex]

Length of the Mississippi River = [tex]\( \frac{23}{25} \times \text{Length of the Missouri River} \)[/tex]

Substituting the given value for the length of the Missouri River:

Length of the Mississippi River = [tex]\( \frac{23}{25} \times 2540 \)[/tex]

To compute this:

[tex]\[ \frac{23}{25} \times 2540 = \frac{23 \times 2540}{25} \][/tex]

[tex]\[ = \frac{58,420}{25} \][/tex]

= 2,336.8

Therefore, the length of the Mississippi River is approximately 2,336.8 miles.

Mental math refers to numbers that are easy to compute mentally. These calculations can be done in your head without the need for a calculator or written work.

Mental math refers to numbers that are easy to compute mentally. These are calculations that can be done in your head without the need for a calculator or written work. For example, mental math can involve adding or subtracting small numbers, multiplying or dividing by powers of 10, or using estimation to approximate a value. It is a useful skill to develop as it saves time and allows for quick calculations.

https://brainly.com/question/29289479

#SPJ1

Estimation and mental math techniques, like knowing certain reciprocals, help to easily compute numbers mentally, a skill valuable in both academic and real-world settings.

Estimation and mental math are key concepts when considering numbers that are easy to compute mentally. By using heuristics, such as knowing the reciprocals of numbers that multiply to 10, or by rounding numbers to nearest tens or hundreds, we can simplify computations and make them more manageable without the use of calculators or paper. This approach is particularly useful when dealing with real-world scenarios where exact numbers are not necessary and approximate values will suffice.

A) The six digit number of Hannah is; 513315

B) The number of ways that 15 be written be written as the sum of 4 different counting numbers is; 4 different ways

A) Hannah wants to give a clue about her 6 digit secret number. We are told that if you read the number from right to left, it will be the same number.

Also, the number is a multiple of 9. Lastly, we are told that if we cross off the first and last number, the only remaining prime factor of the remaining four digit number is 11.

From the list of numbers gotten online that fit the bill, the only one that applies in this case is 513315

B) The different ways that 15 can be written as a sum of four different numbers are;

1 + 2 + 3 + 9 = 15

2 + 3 + 4 + 6 = 15

1 + 2 + 5 + 7 = 15

1 + 3 + 4 + 7 = 15  

These are 4 different ways

Read more about six digit numbers at; https://brainly.com/question/26856218

On the number line is the red dot located on √39. Hence option D is true.

Given that;

The number line with a point is shown with a red point.

Here from the number line,

The point shown is between 6 and 7 and is nearest to 6.

Hence check all the given options.

A. √29= 5.38

Which is not between 6 and 7.

B. √49= 7

Which is not between 6 and 7.

C. √78= 8.83

Which is not between 6 and 7.

D. √39= 6.24

Which is between 6 and 7.

Thus the correct option is D.

for such more question on number line

https://brainly.com/question/24644930

#SPJ3

Final answer:

To estimate the time it would take to fill a swimming pool with a garden hose, use the formula: time = volume / flow rate. Part (a): time = 80,000 L / 60 L/min = 1333.33 min. Part (b): time = 80,000 L / 60,000 L/min = 1.33 min.

Explanation:

To find the time it would take to fill a swimming pool using a garden hose delivering a certain amount of water per minute, you can use the formula: time = volume / flow rate.

For part (a) of the question, the volume of the swimming pool is given as 80,000 L and the flow rate of the garden hose is 60 L/min. Plugging these values into the formula, we get: time = 80,000 L / 60 L/min = 1333.33 min.

For part (b) of the question, the volume of the swimming pool is still 80,000 L, but the flow rate is given in a different unit: 5000 m³/s. To make the units consistent, we need to convert 5000 m³/s to L/min.

There are 1000 L in 1 m³ and 60 min in 1 hour, so the conversion factor is 1000 L / 1 m³ * 60 min / 1 hour = 60,000 L/min.

Plugging this value into the formula, we get: time = 80,000 L / 60,000 L/min = 1.33 min.

Hi there!

Step-by-step explanation:

First, you subtract by 8 from both sides of an equation.

x+8-8>14-8

Then, you subtract by the numbers from left to right.

14-8=6

The answer must have a positive sign.

Answer: →→ x>6

Hope this helps!

Have a nice day! :)

After dividing 17 by 4 we get quotient 4 and remainder 1 so the mixed fraction of  [tex]\dfrac{17}{4} = 4 \dfrac{1}{4}[/tex] .

Use the concept of fraction defined as:

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.

Here we have to convert 17/4 into a mixed fraction.

Divide 17 by 4,

(The complete steps of this division are attached below)

After division we get,

quotient = 4

remainder = 1

Hence,

The mixed fraction of,

[tex]\dfrac{17}{4} = 4 \dfrac{1}{4}[/tex]

To learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

Answer:

b

Step-by-step explanation:

Answer:

8.89 is the answer

Step-by-step explanation:

inch: 1...2...3

centimeters: 2.54....5.08...10.16

  2.54

+ 2.54

  5.08

+ 5.08

  10.16

So because my explanation is not correct but my answer is, you should give me brainliest for no apparent reason...................im sorry