Explain how you can compare the size of a product to the size of a factor when multiplying fractions without actually doing multiplication including model

Answers

Answer 1

Answer: If you multiply a number by a fraction less than 1, the resulting product will be smaller than the original fraction.

Imagine, if you had half a pizza and you ate one-half of that. You would multiply 1/2 by 1/2 and get an even smaller number. The result would be 1/4.

On the other hand, if you multiply a number by a mixed number that is larger than one, the result would be larger than when you started.

Answer 2

The Comparison size of product and factors is shown below.

What are factors?

A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

For example, 3 and 6 are factors of 12 because 12 ÷ 3 = 4 exactly and 12 ÷ 6 = 2 exactly.

A fraction less than one will result in a smaller product than the initial fraction when multiplied by a number.

Imagine that you only ate half of the pizza you ordered.

You would get a smaller value if you multiplied 1/2 by 1/2. It would come out to 1/4.

On the other hand, the outcome would be more than the starting value if you multiplied a number by a mixed number that is greater than one.

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Related Questions

Can someone help me with this math ploblem.

Answers

Each year, the car's value decreases by 19%. 14,650 times 0.19 is $2783.50, meaning that his car loses $2783.50 in value per year. The chart values are:
1. $11,866.50
2. $9083
3. $6299.50
4. $3516
As for B, the equation would be $14,650 - $2783.50y

A set of cards contains cards numbered 1 – 8. Mrs. Jacob’s class is conducting an experiment in which a card is drawn from the pile, the number is recorded, and then the card is returned to the set. The class will conduct 1,000 trials. Based on the theoretical probability, which is the best prediction for the number of times a 4 will be drawn from the pile?
111
125
143
250

Answers

i think that your anwser is 125

Answer:

2nd Option is correct.

Step-by-step explanation:

We are given a set of cards containing numbers from 1 to 8 on each cards.

Randomly a card is drawn and noted.

This is repeated 1000 times.

To find: Number of time 4 will be drawn from the pack using theoretical probability.

We know that,

Theoretical Probability: Probability which is based on reasoning and written as a ratio of the number of favorable outcomes to the total number of outcomes.

Probability of getting 4 from the pack = [tex]\frac{1}{8}[/tex]

Now, Number of the times 4 will be drawn from pack out of 1000 times

= [tex]\frac{1}{4}\times1000[/tex]

= 125

Therefore, 2nd Option is correct.

A smoothie recipe calls for 2 1/4 cups of frozen mango. If the recipe serves two, how many cups of frozen mango is needed to serve one

Answers

To serve only one, you just take half of 2 1/4.

So the answer would be 1 1/8.

Hope this helps!!

The boys' soccer team is having a celebration at the end of the season.There are 8 boys on the team and they have ordered 7 pizzas to share.What fraction of a pizza will each boy get?

Answers

(7 pizzas) and (8 boys)
and you need to know how many of the boys will get so the total number of boys is 8 and they only ordered 7 pizzas so the fraction is
7/8
:)
hope this helps

7/8........................

Brooke has 24 pencils and 36 erasers. If she makes identical goodie bags for her friends with no pencils or erasers left over, what is the greatest number of snack bags Brooke can make?

Answers

I think the answer is 12 because the greatest common factor of 24 and 36 is 12.

Hope this helped☺☺

(That means each goody bag will have 2 pencils and 3 erasers)

Is rolling doubles a simple event or compound event? Explain.

Answers

You have to consider the sample space. In this example the sample space
is {1,2,3,4,5,6}
A simple event can be defined as a SINGLE outcome : Example getting a 3 OR 5 OR any other number from the sample space.
Now if you roll 1 dice & you want to get an even number (2,4,6) then you have chosen from the sample space 3 outcome & this is a compound event
Equally if you roll 2 dice and want to get "one" and/or "three" this is a compound event since you have chosen 2 outcome from the sample space.
Mind you, if you want 5 And 5 when rolling two dice it's a simple event because you have chosen ONE outcome from the sample space.
Hope this will help you to understand this kind of problem

You have to consider the sample space. In this example the sample space

is {1,2,3,4,5,6}

A simple event can be defined as a SINGLE outcome: Example getting a 3 OR 5 OR any other number from the sample space.

Now if you roll one dice & you want to get an even number (2,4,6), then you have chosen from the sample space three outcomes & this is a compound event

Equally, if you roll two dice and want to get "one" and "three," this is a compound event since you have chosen two outcomes from the sample space.

Mind you, if you want 5 And 5 when rolling two dice it's a simple event because you have chosen ONE outcome from the sample space.

Jeff had $20. He spent 1/8 of his money on lunch and 2/5 of his money at the movies. How much money does Jeff have left?

Answers

The total amount of money that Jeff has is $20
total fraction of his expenses on lunch and movies is:
(2/5+1/8)
=21/40
the remaining fraction is:
1-21/40
=19/40
thus the amount of cash that Jeff was left with will be:
19/40×20
=$ 9.5

Use point slope form to write the equation of the line that passes through (-3,4) and has a slope of 7

Answers

the equation would be

y - 4 = 7(x - - 3)

sdfasfafsdgagzdgdagdagagda

Answers

First, notice that we are given the y-intercept, (0, 5), and the slope, m = 7.

We plug into slope-intercept form [tex]y=mx+b[/tex] to get [tex]y=7x+5[/tex].

Answer:
y = 7x + 5

Explanation:
The equation of line in slop-intercept form is:
y = mx + c
where:
m is the slope
c is the y-intercept

We are given that the slope = 7. Therefore, the equation becomes:
y = 7x + c

Now, we need to get the value of c. To do so, we will substitute with the given point (0,5) in the equation and solve for c as follows:
y = 7x + c
5 = 7(0) + c
c = 5

Based on the above, the equation of the line is:
y = 7x + 5

Hope this helps :)

Yesterday, Jed's bank account balance was –$26.34. He deposited some money into his account so that the balance is now $42.18.

How much did he deposit into his account?

$68.52

$15.84

$68.42

$16.84

PLEASE HELP ME!! I AM DOING AN EXAM

Answers

deposit money into his account is $15.84

The data below show the number of games won by a football team in each of the last 15 seasons. What is a histogram that represents the data? 3 4 8 12 7 2 1 15 16 6 10 13 4 1 5

Answers

A sample histogram is attached.

Using intervals of width 5, we have
0-4, with a frequency of 6
5-9, with a frequency of 4
10-14, with a frequency of 3
15-19, with a frequency of 2

The histogram that represents the data will be given below.

0-4, with a frequency of 6

5-9, with a frequency of 4

10-14, with a frequency of 3

15-19, with a frequency of 2

What is a histogram representation of data?

One of its most used graphs for displaying frequency tables is the histogram. The ordinal scale, as we all know, describes how frequently each individual value appears in the data collection.

The data below show the number of games won by a football team in each of the last 15 seasons.

3, 4, 8, 12, 7, 2, 1, 15, 16, 6, 10, 13, 4, 1, 5.

Arrange in ascending order. we have

1, 1, 2, 3, 4, 4, 5, 6, 7, 8, 10, 12, 13, 15, 16.

Then we have

Using intervals of width 5, we have

0-4, with a frequency of 6

5-9, with a frequency of 4

10-14, with a frequency of 3

15-19, with a frequency of 2

More about the histogram representation of the data link is given below.

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Mason’s friends want him to contribute $300 toward a weekend trip, but he doesn’t have that much money in his budget. He does have $150 to spend. What is a financially responsible decision for Mason?
A.
Mason should ask his friends to plan a less expensive trip.

B.
Mason should spend the $300 because his friends asked him.

C.
Mason should get an easy-access loan to pay for the trip.

D.
Mason should go into debt and spend $450 on the trip.

Answers

C. Mason should get a loan because he can make up 150 dollars, and it is his responsibility for the trip.

Hope this helped!

C. Mason should get an easy-access loan to pay for the trip.

Aphrodite traveled 144 leagues in 12 days. Then she doubled her rate. How long would it take her to travel 168 leagues at this new speed?

Answers

D = (168 leagues) / (24 leagues / day) = 7 days

The first step in solving this problem is to compute for the original rate of Aphrodite.

144 leagues / 12 days = 12 leagues/day (original rate)

It was stated in the problem that she doubled her rate which she means she has a new rate of 24 leagues/day (12 x 2).

168 leagues / 24 leagues/day = 7

Therefore, it would take her 7 days to travel 168 leagues at her new speed.

Four cups of hummingbird food that is 20% corn syrup is mixed with six cups of humming bird food that is 15% corn syrup. What percent of corn syrup is in the mixture??

Answers

20% corn syrup in the mixture

Which sequence could be used to transform pentagon p to pentagon Q

Answers

Your answer would be C. Its a reflection across Y and moved down 7 units

how do i add 1 1/6+ 3/5

Answers

You would change the denominator and get the lowest common denominator. Thos would be 30. You would do 11/6 x 5/5 = 55/30. Then do 3/5 x 6/6 = 18/30. Then add 55/30 + 18/30 = 73/30 and simplify.

Find the least common denominator
6 and 5 least common factor is 30
So multiply each number to get 30

11/6 x5 = 55/30

3/5x6= 18/30

55/30+18/30 = 68/30

Simplified

34/15

Fossils are remains of organisms found in sedimentary rock. These remains are found in thousands of rock layers around the world and provide evidence for Earth's long history of changing lifeforms. Rock layers that formed more recently A. contain fossils of animals only. B. contain fossils of plants only. C. contain fossils that resemble existing species less closely than do fossils found in older rock layers. D. contain fossils that resemble existing species more closely than do fossils found in older rock layers.

Answers

Final answer:

Rock layers that formed more recently contain fossils that resemble existing species more closely than do fossils found in older rock layers.

Explanation:

Fossils found in rock layers provide evidence for Earth's long history of changing lifeforms. Rock layers that formed more recently contain fossils that resemble existing species more closely than do fossils found in older rock layers. This is because the more recent layers contain organisms that are more similar to the species that exist today.

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Because they are both closed under the operations of addition, subtraction, and multiplication, polynomials form an analogous set to which of the following?

Select one:
A. The imaginary numbers
B. The natural numbers
C. The irrational numbers
D. The integers

Answers

Answer:

The integers

Step-by-step explanation:

What is the LCD of 3 8/9 and 1 5/12?

Answers

I believe that the answer is 36.

Can somebody please help me, I’m stumped. Please explain easily too

Answers

3/4 divided 2 1/2 = 3/10

Your home state uses a linear model y= 24(x - 70) + 1274 to predict the number of vacationers (y) as compared to the average temperature for that week (x). Find the number of vacationers predicted for a week with an average temperature of 85 degrees.

Answers

y=24(85-70)+1274
y=24(15)=1274
y=360+1274
y=1634

A box of colored game pieces contains 60 pink, 55 silver, and 40 white pieces. One piece is randomly selected. To the nearest percent, what is the probability of the event? Drag and drop the correct value into the box. P(silver)=

26%35%37%39%

Answers

35% because all the colored pencils add up to 155. and silver is 55. so it would be 55/155 which you get .35..... multiply by 100 and get 35%

Your answer would be 35% If I'm wrong then I apologize

Peach juice and mango juice were mixed in a ratio of 6 to 4 to make tropical punch. A tape diagram representing the ratio of peach juice to mango juice is shown

Answers

the ratio of peach juice to mango juice is 3/2 :
because 6/4 can be reduced to 3/2 by canceling two from the fraction.

The total quantity of the tropical punch in terms of cups is 60 units.

How to get the total quantity

Let P represent the volume of peach juice and M represent the volume of mango juice in the tropical punch.

Given the ratio of Peach : Mango is 6:4, which simplifies to 3:2:

This can be mathematically represented as:

[tex]$ \frac{P}{M} = \frac{3}{2} $ or $ P = \frac{3}{2}M $[/tex]

In this ratio:

- The volume of peach juice contributes 3 units out of a total of 5 units (3 units peach : 2 units mango) of the tropical punch.

- The volume of mango juice contributes 2 units out of a total of 5 units (3 units peach : 2 units mango) of the tropical punch.

1 unit of the mixture = 12 cups

Therefore, 5 units of the mixture = 5 * 12 = 60 cups

Hence, the total quantity of the tropical punch in terms of cups is 60 units.

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Question

Peach juice and mango juice were mixed in a ratio of 6 to 4 to make tropical punch.

Fill in the blank with the correct number below to complete the statement.

(statement)… After 12 cups of mango juice were added, the amount of mango juice and peach juice were the same. There were ____ cups of tropical punch to start with

Number choices to fill in the blank: 18, 69, 36, 72, 60, or 24

What is the effect on the graph of the parent function f(x) = x when f(x) is replaced with f(x - 7)?

Answers

The graph is translated 7 units to the right.

:) anyone know this please

Answers

the first and third one, because one input cannot have two outputs.

In a function each x value has exactly one y value. the only one up there that fits that criteria is the first option.

there are226 pets enter in the pet show what is 226 rounded to the nearest hundreds

Answers

200. 26 is lower than 50 so it would be 200.

226 rounded to the nearest hundred is 200

The squirrel stored seven more than three times as many nuts as the chipmunk. The chipmunk stored x acorns.Write an expression that shows how many acorns the squirrel stored.

Answers

3x+7

i think that is the imperresion

3x+7 would be the equation

how do you find the least common multiple of 16 and 42?

Answers

Hi there!

To find the LCM of 16 and 42, we need to see what numbers can be divided by both 16 and 42 and so on.

16 ÷ 2 = 8
42 ÷ 2 = 21

Now, we multiply the results.

2 × 8 × 21 = 2 × 168 = 336

Today, the great Pyramid of Giza bear Cario, Eygpt, stands 137 meters tall, coming to a point . A base is a square with each side measuring 230 meters wide. What is the slope of the pyramid

Answers

The correct answer is [tex]1.191[/tex]

To find the slope of the pyramid, we need to calculate the ratio of the vertical change (height) to the horizontal change (half of the base length).

Given information:

- Height of the pyramid (vertical change) = 137 meters

- Base length of the pyramid = 230 meters

- The base of the pyramid is a square, so each side is 230 meters wide

Step 1: Calculate the horizontal change, which is half of the base length.

Horizontal change = [tex]\frac{1}{2} \times Base length[/tex]

Horizontal change = [tex]\frac{1}{2} \times 230 meters[/tex]

Horizontal change = 115 meters

Step 2: Calculate the slope by dividing the vertical change (height) by the horizontal change.

Slope =[tex]\frac{\text{Vertical change}}{\text{Horizontal change}}[/tex]

Slope = [tex]\frac{137}{115}[/tex]

Slope = [tex]{1.191}[/tex]

Therefore, the slope of the pyramid is 1.191.

A spherical tank has a radius of 6 yards. It is filled with a liquid that costs $7.15 per cubic yard.

What is the total value of the liquid in the tank?

Use 3.14 for π .

Enter your answer in the box to the nearest cent.

Answers

4πr³/3=V

288π=V

288πx7.15=$6,465.89

1 the volume of a sphere = (4/3) pi r^3
so value of liquid = $7.15 * (4/3)* 3.14 * 6^3

= 6465.89 cu yards

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