Multiply 13. 5 x 12. 1 using a regrouping strategy. Explain your answer and each step that you take

Satoko has 303030 tokens to spend at an arcade, and the three lines indicate the cost of playing her favorite games. She must also consider her personal preference for each game, as enjoyment plays a crucial role.

Satoko's objective is to make the most out of her 303030 tokens while enjoying her three favorite games at the arcade. To achieve this, she needs to allocate her tokens wisely across the three games. By analyzing the cost of playing each game for various numbers of times, she can determine the optimal strategy.

First, Satoko should identify the game with the lowest cost per play. If one game stands out as the most affordable, she can prioritize it to maximize the number of plays within her token budget. However, she must also consider her personal preference for each game, as enjoyment plays a crucial role.

Next, Satoko can distribute the remaining tokens among the other two games. She should aim to strike a balance, ensuring she has a reasonable number of plays for each while still getting the most out of her tokens. It might be beneficial to allocate more tokens to the game she enjoys the most among the remaining two.

By carefully analyzing the cost per play and her personal preferences, Satoko can make informed decisions on how to allocate her 303030 tokens at the arcade. This strategic approach will help her maximize her enjoyment and extend her gaming experience within the given budget.

Learn more about maximum here:

https://brainly.com/question/17467131

#SPJ11

Answer:

Step-by-step explanation:

B

Answer:

232 cars

Step-by-step explanation:

Let's say the number of cars that entered is c.

At 9:00 am, there are a total of 24 + c cars and 64 trucks. We know that this value of 64 represents 1/5 of the total number of vehicles. The total number of vehicles is (24 + c) + 64 = 88 + c. So, we have:

64/(88 + c) = 1/5

Cross-multiply:

88 + c = 64 * 5 = 320

c = 320 - 88 = 232

Thus, the answer is 232 cars.

Note: as 232 doesn't show up in the answer choices, it's possible that the problem was copied correctly.

~ an aesthetics lover

Answer:

232 cars entered between 8 and 9

Step-by-step explanation:

at 9 am there are 64 x 5 vehicles total = 320

320 - 64 - 24 = 232

Following Answers are:

Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. For example, 50% means 50 per 100, or half of a given quantity. It is denoted using the symbol "%".

To calculate the 10% down payment required by the bank, you can use the following formula:

Down payment = 2700 x 10%

                          = $270

To calculate the loan amount, you can subtract the down payment from the total cost of the moped:

Loan amount = 2700 - 270

                      = $2430

To calculate the monthly loan payment, you need to know the interest rate, the loan amount, and the number of months in the loan term. You can use the following formula to calculate the monthly payment:

Monthly payment = (Loan amount x Interest rate) / (1 - (1 + Interest rate)^(-Number of months in loan term))

In this case:

Monthly payment = ($2430 x 8%) / (1 - (1 + 8%)⁻⁶)

Monthly payment = $44.38

The breakdown of each of the 6 payments would be $44.38 per month.

To know more about Percentage check:

https://brainly.com/question/29306119

#SPJ1

Answer:

1

Step-by-step explanation:

Let's solve your equation step-by-step.

2x+1=−x+4

Step 1: Add x to both sides.

2x+1+x=−x+4+x

3x+1=4

Step 2: Subtract 1 from both sides.

3x+1−1=4−1

3x=3

Step 3: Divide both sides by 3.

3x

3

=

3

3

x=1

BRAINLIEST?

Answer:

your answer is D

plz mark me as brainliest

Answer:

True.Hope that helps.

Step-by-step explanation:

Answer:

I was doing that this year but I for got how.

Step-by-step explanation:

The length of the line segment is approximately 12.04 units. This formula calculates the distance between two points, (x1, y1) and (x2, y2), on the line segment. The formula is as follows: d = √((x2 - x1)^2 + (y2 - y1)^2)

The length of a line segment in a two-dimensional x-y coordinate plane can be found using the distance formula. This formula calculates the distance between two points, (x1, y1) and (x2, y2), on the line segment. The formula is as follows:

d = √((x2 - x1)^2 + (y2 - y1)^2)

In this case, the line segment extends from the point (2, 8) to the point (12, 2). By plugging these values into the formula, we find that:

d = √((12 - 2)^2 + (2 - 8)^2) = √(100 + 36) = √136 = 12.04

So, the length of the line segment is approximately 12.04 units. This formula is useful for finding the distance between any two points in a two-dimensional plane and can be used in various fields such as geometry, physics, and engineering. The formula is based on the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.

Learn more about coordinates here: brainly.com/question/16634867

#SPJ4

Complete question:

What is the length of the line segment in the first quadrant of an x-y coordinate plane that extends from (2, 8) to (12, 2)?

Answer:

its D 136

Step-by-step explanation:

khan

\(\huge\text{Hey there!}\)

\(\large\text{PROPERTIES of MATH (of addition)}}\\\\\large\bullet\boxed{\mathsf{\ Commutative \ property: \boxed{\bf x + y = y + x}}}\\\bullet\boxed{\mathsf{\ Identity\ property: \boxed{\bf x + y = x}}}\\\bullet\boxed{\ \mathsf{Associative\ property: \boxed{\bf (x + y) + z = z + (x + y)}}}\\\bullet\boxed{\ \mathsf{Distributive\ property: \boxed{\bf x(y + z) = x\times y + x\times z}}}\)

\(\large\boxed{\mathsf{(10 + 1) + 9 = 10 + (1 + 9)}}\\\\\\\large\boxed{\mathsf{(10 + 1) + 9}}\\\large\boxed{\mathsf{= 10 + 1 + 9}}\\\large\boxed{\mathsf{= 11 + 9}}\\\large\boxed{= \mathsf{20}}\\\\\large\boxed{\mathsf{10 + (1 + 9)}}\\\large\boxed{\mathsf{= 10 + 1 + 9}}\\\large\boxed{\mathsf{= 11 + 9}}\\\large\boxed{= \mathsf{20}}\\\\\\\\\huge\boxed{\mathsf{20 = 20}}\huge\checkmark\)

\(\huge\boxed{\mathsf{Based\ on\ the\ information\ we \ have\ above\ your}}\\\huge\boxed{\mathsf{answer \ is: \underline{\underline{\bf Associative \ Property}}}}\huge\checkmark\)

\(\huge\text{Good luck on your assignment \& enjoy your day!}\)

~\(\frak{Amphitrite1040:)}\)

Answer:

below

Step-by-step explanation:

Rational means a number with a decimal that does not go on forever or a decimal that can written as a fraction.

An irrational number is a number that cannot be written as a fraction and the decimal goes on forever.

Best of Luck!

Answer:

I think it would be 5,625ft^2?

Step-by-step explanation:

300÷4=75

75×75=5,625

To develop a three-sigma X Chart with a known mean of the means as 20 and an average range of 5, based on samples of size 10, the Lower Control Limit (LCL) can be calculated as 14.5.

The X Chart, also known as the individual or subgroup chart, is used to monitor the central tendency or average of a process. The control limits on an X Chart are typically set at three standard deviations above and below the mean.

To calculate the LCL of the X Chart, we need to subtract three times the standard deviation from the mean of the means. Since the average range (R-bar) is given as 5, we can estimate the standard deviation (sigma) using the formula sigma = R-bar / d2, where d2 is a constant value based on the sample size. For a sample size of 10, the value of d2 is approximately 2.704.

Now, we can calculate the standard deviation (sigma) as 5 / 2.704 ≈ 1.848. The LCL can be determined by subtracting three times the standard deviation from the mean of the means: LCL = 20 - (3 * 1.848) ≈ 14.5.

Learn more about average here:

https://brainly.com/question/24057012

#SPJ11

Answer:

Step-by-step explanation:

A diameter is two radiuses long, so the cylinder's radius is:

R = 4 in ÷ 2 = 2 in

The volume of cylinder is: V = πR²×H

Therefore:

               12π = π×2²×H

               12 = 4H

                H = 3 in

Answer:

the answer is C your welcome!!!!

Step-by-step explanation:

Answer:

Let's denote O as center of circle.

=> Two isosceles triangles  AOB and EOF are congruent (SSS).

Because AO = BO = EO = FO = radius of circle O, AB = EF = 8

=> Arc AB = AOB = EOF = Arc EF = 65 deg.

Hope this helps!

:)

Answer:

Option D

Step-by-step explanation:

Given polynomial :-

=> 2x - 4x³ -7 + 6x²

Here the highest degree of variable is 3 ,

Therefore it is a cubic polynomial .

Answer:

1. GH

2. a

Step-by-step explanation:

Perpendicular: When 2 lines meet at 90 degrees

1. It is line segment GH because AB and GH meet at a 90 degree angle (since there is a box at angle GHF indicating that it is 90 degrees)

2. It has to be a units because it is a rectangle where the top and bottom are congruent and the sides are too

This is a rectangle since AB and CD are parallel and GH can be a transversal line, according to same side interior angles theorem EGH is a also 90 degrees. That means FEG is 90 degrees too because then the quadrilateral will add up to 360 degrees

Answer:

Part c, Graph B

You have to put the values of x in the equation y=2x^2

a) The (9,009, 10,585) range represents the 99% confidence interval for the mean number of steps taken on an average workday for all New York City employees who wear activity trackers. No, we are unable to determine the likelihood of specific values using the confidence interval. Only inferences about the population mean can be drawn from it.

A 99% confidence interval for the mean needs to be calculated.

Since the population standard deviation is unknown, we must infer it from the sample standard deviation in order to get the critical number using a t-students distribution.

Sample Mean(M) = 9,797

Sample Standard Deviation(s) = 2,313.

Sample Size(N) = 61

When σ is unknown, an estimation of σM is made by dividing s by the square root of N:

S = s/√n

S = 2313/√61

S = 2313/7.8102

S = 296.1512

These sample size's degrees of freedom are:

df = n - 1

df = 61 - 1

df = 60

With 61 degrees of freedom and a 99% confidence interval, the t-value is 2.66.

The Margin of Error calculated as:

MOE = t × S

MOE = 2.66 × 296.1512

MOE = 787.7622

The confidence interval's lower and upper bounds are as follows:

Lower Bound = M - MOE

Lower Bound = 9797 - 787.7622

Lower Bound = 9,009.2378

Lower Bound = 9,009(approx)

Upper Bound = M + MOE

Upper Bound = 9797 + 787.7622

Upper Bound = 10,584.7622

Upper Bound = 10,585(approx)

We have a 95% confidence interval between 9,009 and 10,585 steps as the mean number of steps taken on a normal workday for all New York City employees using activity trackers.

b) The value of 8,500 steps is outside the confidence interval, which indicates that it is a high figure for the average number of steps taken by all New Yorkers using activity trackers.

The confidence interval cannot be used to calculate the likelihood of specific values.

To learn more about confidence interval link is here

brainly.com/question/24131141

#SPJ4

The complete question is:

Activity trackers are electronic devices that people wear to record physical activity. Researchers wanted to estimate the mean number of steps taken on a typical workday for people working in New York City who wear such trackers. A random sample of 61 people working in New York City who wear an activity tracker was selected. The number of steps taken on a typical workday for each person in the sample was recorded. The mean was 9,797 steps and the standard deviation was 2,313 steps.

a. Construct and interpret a 99 percent confidence interval for the mean number of steps taken on a typical workday for all people working in New York City who wear an activity tracker.

b. A wellness director at a company in New York City wants to investigate whether it is unusual for one person working in the city who wears an activity tracker to record approximately 8,500 steps on a typical workday. Is it appropriate to use the confidence interval found in part (a) to conduct the investigation.

Answer: Do not agree.

Step-by-step explanation:

To determine if we agree with Marcus, we need to verify if the percentages he used on rides, video games, and batting cage add up to 100%.

Marcus used 25% of the tickets on rides and 1/2 on video games. So, the total percentage of tickets he used is:

25% + 1/2 × 100% = 25% + 50% = 75%

This means that Marcus should have used 25% of the tickets in the batting cage. If he said he used 23% of the tickets in the batting cage, then we do not agree with him.

Answer:

0.0045 km or 4.5×10^-3 km

Step-by-step explanation:

Answer:

The answer with 4 cubes 2x2

Step-by-step explanation:

D it has 5 cubs in all,if you see A,B,C,they do not have cuds

Answer: There are four and one-fourth cups of dry ingredients are in the cake mix.

Step-by-step explanation:

Given: Quantities of dry ingredients for cake:

2 cups of flour, \(\dfrac32\) cups of sugar, and \(\dfrac34\) cup of cocoa.

Total cups of ingredients used = \(2+\dfrac32+\dfrac34\)

\(\dfrac{2\times4+3\times2+3}{4}\\\\=\dfrac{8+6+3}{4}\\\\=\dfrac{17}{4}\\\\=\dfrac{16+1}{4}\\\\=4\dfrac14\text{ cups}\)

Hence, there are four and one-fourth cups of dry ingredients are in the cake mix.

To determine Bob's expected utility for each option, we calculate the utility for each outcome and weigh them by their respective probabilities.

Option A:

Expected utility = 0.5v(316 - 30) + 0.5v(4 - 0)

= 0.5v(48) + 0.5v(4) = 0.548 + 0.54 = 26.

Option B: Expected utility = v(8) = 8.  

Bob would choose Option A as it has a higher expected utility.

ii. Option A: Expected utility = 0.5v(-16) + 0.5v(-4) = 0.5*(-32) + 0.5*(-8)

= -20.

Option B: Expected utility = v(-12) = -24. Bob would choose Option B as it has a higher expected utility.

iii. Option A: Expected utility = 0.5v(8) + 0.5v(-4) = 0.58 + 0.5(-8) = 0. Option B: Expected utility = v(1) = 1.  Bob would choose Option B as it has a higher expected utility.

 (b) If Bob buys the hammer for $2, his utility would be v(-2) = -4. If he does not buy the hammer, his utility would be v(0) = 0. Bob would prefer not to buy the hammer since the utility is higher at 0.

(c) If Bob sells the hammer for $2, his utility would be v(2) = 2. If he does not sell the hammer, his utility would be v(0) = 0. Bob would prefer to sell the hammer since the utility is higher at 2. (d) Bob's buying price is not the same as his selling price.

This concept is known as loss aversion, where individuals tend to value losses more than equivalent gains. One study that demonstrates a similar concept is the "Prospect Theory" by Daniel Kahneman and Amos Tversky, which shows how people's decision-making is influenced by the potential for gains and losses and how they weigh them differently.

The study revealed that individuals are generally more averse to losses and are willing to take greater risks to avoid losses compared to the risks they are willing to take for potential gains of equal value.

To learn more about probabilities click here: brainly.com/question/32004014

#SPJ11

Answer:

x>3

Step-by-step explanation:

x+9<4x

9<4x-x

9<3x

3x>9

x>9/3

x>3

Answer:

2.15000

Step-by-step explanation:

-43/20=-2.15000

Answer: 2.15

Step-by-step explanation:

The major methods of recording unstructured observational data are Narrative Description, Field Notes, Audio or Video Recording, Photography, Diagrams or Maps.

The major methods of recording unstructured observational data are:

1. Narrative Description: This method involves writing a detailed, chronological account of the observed events or behaviors, capturing the context and interactions as they occur naturally.

2. Field Notes: In this method, the observer takes brief, concise notes during the observation, focusing on key events, behaviors, or interactions. These notes can be expanded and organized later for further analysis.

3. Audio or Video Recording: Using audio or video equipment, the observer captures the events and interactions in their entirety. This allows for a more accurate record and the ability to review and analyze the data multiple times.

4. Photography: Taking photographs during the observation can provide a visual record of the events and behaviors. These images can supplement other data collection methods and help to illustrate specific aspects of the observation.

5. Diagrams or Maps: Drawing diagrams or maps of the observation setting can help capture the spatial relationships between individuals and objects, as well as the overall layout of the environment.

These methods can be used individually or in combination, depending on the research question and the specific needs of the study. Remember to always respect participants' privacy and obtain informed consent when necessary.

To learn more about unstructured data

https://brainly.com/question/30977617

#SPJ11