break apart the addends to find the sum 33+49

To compare the average rate of change between hours 4 and 8 to the average rate of change between hours 0 and 4, we need to calculate the average rate of change for both time intervals using the given formula. The correct option can be determined by comparing these two average rates of change.

To compare the average rate of change between hours 4 and 8 to the average rate of change between hours 0 and 4, we need to calculate the average rate of change for both time intervals. The formula for average rate of change is:

Average Rate of Change = (f(b) - f(a)) / (b - a)

For the interval between hours 4 and 8, the average rate of change is:

Average Rate of Change = (f(8) - f(4)) / (8 - 4)

Substituting the values into the formula:

Average Rate of Change = (80 * (1.5)^8 - 80 * (1.5)^4) / (8 - 4)

For the interval between hours 0 and 4, the average rate of change is:

Average Rate of Change = (f(4) - f(0)) / (4 - 0)

Substituting the values into the formula:

Average Rate of Change = (80 * (1.5)^4 - 80) / 4

Comparing these two average rates of change, we can determine which option is correct.

To determine how many more items Home Room B needs to collect to have more items per student, we can find the average number of items per student in Home Room A and multiply it by the number of students in Home Room B.

To determine how many more items Home Room B needs to collect to have more items per student, we need to compare the number of items collected by Home Room B with the number of items collected by Home Room A per student.

Let's assume Home Room A has 20 students, so they collected a total of 21 additional items of food. We can calculate how many items were collected per student in Home Room A by dividing the total number of items (21) by the number of students (20).

Now, let's assume Home Room B has 30 students. To find out how many more items Home Room B needs to collect, we need to multiply the number of students in Home Room B by the average number of items per student in Home Room A. This will give us the total number of items Home Room B needs to collect to have more items per student.

Let's calculate:

Therefore, Home Room B needs to collect 31.5 more items to have more items per student.

The question lacks essential details, such as the initial number of items collected and the number of students in each home room, which are necessary to calculate the number of additional items home room B needs to collect.

The question seems to be missing specific information about how many items were initially collected by home room A and B, and the number of students in each home room. Therefore, without the provided information, it's not possible to calculate how many more items home room B needs to collect. Usually, to solve such a problem, you would take the total number of items collected by home room A, add 21 to it, then figure out the current items per student ratio for both home rooms A and B. Home room B would need to collect enough items to exceed that per student ratio. If further details are available, please provide them to support an accurate calculation.

Answer:

Step-by-step explanation:

C+2d

Final answer:

The product of 29/2 sec and 60 MB/sec is 870 MB. This calculation is based on simple multiplication and the result is considered reasonable for the given data transfer rate.

Explanation:

The question asks for the product of 29/2 seconds and 60 MB/sec. To calculate this, we perform the multiplication of the two quantities, which gives us:

(29/2 seconds) × (60 MB/sec) = (29/2) × 60 MB = (29 × 30) MB = 870 MB.

This result represents the amount of data transferred in 29/2 seconds at a rate of 60 MB/sec, which is 870 MB. We also check if the result is reasonable by comparing it to familiar units of data transfer, and 870 MB seems reasonable for a data transfer rate of 60 MB/sec over approximately 14.5 seconds.

Answer:

(C) $7.65

Step-by-step explanation:

To find the amount of tip, first, convert the 15% to 0.15 by dividing 15% and 100. After that, multiply $51 x 0.15 and you would get $7.65. <-- CREDITS to nineex5

I hope this helps!

I'm srry if its to late.

Beethoven was a renowned composer who struggled with hearing loss later in his life. Please  note that he did not erase his music deliberately.

Instead, due to his deafness, he often revised and edited his compositions repeatedly, writing and rewriting sections to perfect his musical ideas.

Beethoven was known for his meticulous nature and pursuit of musical excellence. He constantly refined his compositions, making changes, corrections, and improvements until he was satisfied with the final piece. This process involved extensive revisions and alterations to his musical scores, which might have been mistakenly perceived as "erasing" music.

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Multiplication, Scientific notation, Place value, and Percent are all concepts that help understand the different aspects of numbers.

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The area of a rectangular room is 143 square feet.

To find the area of a rectangular room, we multiply the length by the width.

However, since the measurements are given in different units (feet and inches), we need to convert them to the same unit first.

Convert the width from inches to feet.

Since there are :

12 inches= 1 foot, we divide 132 inches by 12:

132 inches ÷ 12

= 11 feet

Now we have the dimensions in feet:

13 feet (length) by 11 feet (width).

Calculate the area by multiplying the length by the width:

Area = 13 feet × 11 feet

= 143 square feet

Therefore, the area of the room is 143 square feet.

Answer: 2

Step-by-step explanation: 104 photos to be place on 13 pages, to get the number of photos on a page, we simple divide 104 by 13 =8

1 page = 8photos

since 4 pictures can fit in a row, to get the number of rows on a page, we simply divide 8 by 4 = 2.

Therefore on each page, there are 2 rows.

Final answer:

Drawing a model to show the relationship between feet and inches involves using the conversion factor between these units (1 foot = 12 inches) and applying scales for practical conversions, such as the examples of Asharah and Kenya's model cars, which translate real-life measurements into manageable sizes for scale models.

Explanation:

To draw a model that shows the relationship between feet and inches, particularly in the context of scale models as mentioned in the examples of Asharah and Kenya's model cars, you would first identify the conversion factor between feet and inches, which is 1 foot equals 12 inches. The scales given for the models represent this relationship in a condensed form tailored to small, manageable models of larger objects.

These examples illustrate how to create a simple model or drawing that demonstrates the relationship between two different units of measurement by using scale factors.

Answer:

What the ratio tells us is that for every 2 inches that fall in January, 5 are predicted to fall for the entire winter.

For this problem we can cross multiply (if you haven't done this yet, just let me know and i can edit this answer to do the problem a different way)

We set the equation up to compare the two ratios with X representing the predicted total snowfall

Now, we multiply the value on the top of the first fraction by the value on the bottom of the second fraction and vice versa

2X=5*34

Now, we can simplify

2X=170

Now, we can divide by 2 on both sides in order to get X alone

X=85

So, the predicted snowfall for the winter is 85 inches

The Chance coin has the greatest mass if Chance has $2 in quarters. Blake has $5 in dollar coins.

The symbols cross (×), asterisk (*), and dot (·) are used to denote multiplication. You most frequently utilize the cross when writing in your notebooks. In computer languages and algebra, the asterisk and dot are both utilized (higher mathematics).

Given:

Chance has $2 in quarters. Blake has $5 in dollar coins,

The total quarters coin Chance has = 2 × 4 = 8,

The total dollar coins Blake has = 5 × 1 = 5

Calculate the mass as shown below,

Chance coin mass =  5.67 × 8

Chance coin mass = 45.36 gram

Blake coin mass = 8.1 × 5

Blake coin mass = 40.5 gram

Compare both masses,

45.36 gram > 40.5 gram

Thus, the Chance coin has the greatest mass.

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To represent the number of gallons of water in the tub after x minutes, the equation y = 30 - 6x can be used.

The question asks us to write an equation that represents the number of gallons of water in the tub after a certain number of minutes. Let's break down the information given:

We can use this information to find the rate at which the bathtub is draining. To do this, we'll subtract the amount of water after 5 minutes from the amount after 2 minutes to get the change in water: 30 gallons - 12 gallons = 18 gallons. This means the tub is draining 18 gallons over a span of 3 minutes, which is equivalent to a rate of 6 gallons per minute.

Now, we can write the equation that represents the number of gallons of water in the tub after x minutes. Let y represent the number of gallons, and x represent the number of minutes. We can use the equation y = 30 - 6x, where 30 is the initial amount of water in the tub at 2 minutes, and 6x is the amount of water drained over x minutes at a rate of 6 gallons per minute.

Following are the calculation of the division problem:

Given:

quotient=3

remainder=28

To find:

division problem=?

Solution:

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To create a division problem with a quotient of 3 and a remainder of 28, you can write it as 43 divided by 5.

To write another division problem with a quotient of 3 and a remainder of 28, we can start by multiplying the quotient (3) by the divisor and then adding the remainder (28). Let's say the divisor is x:

3x + 28 = dividend

For example, if we choose x to be 5:

3(5) + 28 = 15 + 28 = 43

So, the division problem with a quotient of 3 and a remainder of 28 could be 43 divided by 5.

The area of a rectangle is calculated by multiplying the width and the height. In this case, the area would be 5x7 which is 35 units squared.

You want to find the area of a rectangle with the given dimensions 5x7. The formula to calculate the area of a rectangle is Length x Width. In this case, your length could be 7 and your width could be 5. Therefore, the area of your rectangle is 7(l) x 5(w) = 35 square units.

Remember, the dimension of area is represented as L² (Length squared). In this case, the units would be 'units squared' (since no specific unit is detailed).

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Answer:

7 friends got pizza

Step-by-step explanation:

Tom ate [tex]\frac{1}{4}[/tex] of a pizza.

So, Reaming part = [tex]1-\frac{1}{4}=\frac{3}{4}[/tex]

He divided the leftover pizza into pieces each equal to 1/12 of the original pizza.

Let x be the no. of grinds he gave 1/12 part pieces

So, Part of pizza given to x friends = [tex]\frac{1}{12}x[/tex]

So, Remaining pizza = [tex]\frac{3}{4} -\frac{1}{12}x[/tex]

We are given that 1/6 of the original pizza remained.

So, [tex]\frac{3}{4} -\frac{1}{12}x =\frac{1}{6}[/tex]

[tex]x=7[/tex]

Hence 7 friends got pizza

To find the current price of the comic book, subtract the total decrease from the initial price and then add the total increase. The current price is $8.22.

To find the current price of the comic book, we need to look at how the price has changed over the last 4 months. The table shows that the price decreased by $2.36 in the first month, then increased by $1.07 in the second month, and finally increased by $2.14 in the third month. Since the price started at $7.37, we can calculate the current price by subtracting the total decrease from the initial price and then adding the total increase.

So, the current price is $7.37 - $2.36 + $1.07 + $2.14 = $8.22.

This answer is reasonable because it falls between the lowest and highest prices in the table and follows the pattern of the price changes over the last 4 months.

The student needs the price changes from a table to calculate the current price of a comic book from its starting price of $7.37, but the table data is not provided. We would need that information to give a precise answer.

The student is asking about the change in price of an item, specifically a comic book called Painted Tiger, Volume 1, that started at $7.37, over the course of 4 months. However, the question doesn't provide the actual table with the price changes. To accurately answer this question, we would need the specific price changes listed in the table to calculate the current price of the comic. Without this information, we cannot provide an exact answer.

If we had the information, typically, we could determine the current price by applying the changes in price over time to the original price. These changes might be increases or decreases that are either flat amounts or percentages. For example, if in month one the price increased by 10%, we would calculate the new price by multiplying the original price of $7.37 by 1.10. If the next month the price decreased by $2, we would subtract $2 from the previously calculated new price. We would repeat this process using all the price changes mentioned in the table to find the final price.

Since the necessary data from the table is missing, you should either provide the price change information or consult the original source to get the current price of Painted Tiger, Volume 1. Once you have those figures, consider the direction and amount of each price change to ensure that the final calculation makes sense; the price should reasonably follow the trends indicated by the table.