To find the ratio that is equivalent to 15/48, you need to simplify the fraction.
The greatest common divisor of 15 and 48 is 3. Dividing both the numerator and denominator by 3 gives us:
15 ÷ 3 = 5
48 ÷ 3 = 16
So, the simplified form of 15/48 is 5/16.
Therefore, the ratio that is equivalent to 15/48 is 5/16.
Which ratio is equivalent to 15/48?
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1 point
3/8
5/16
1/8
5/24
35 answers
Lucy bought a new car that has a 18 gallon gas tank. If she can drive 270 miles on a full tank of gas, what is the unit rate of miles per gallon he gets?
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1 point
18 miles per gallon
252 miles per gallon
15 miles per gallon
288 miles per gallon
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1 point
18 miles per gallon
252 miles per gallon
15 miles per gallon
288 miles per gallon
To find the unit rate of miles per gallon, you need to divide the number of miles by the number of gallons.
Lucy can drive 270 miles on a full tank of 18 gallons.
So, the unit rate of miles per gallon is:
270 miles ÷ 18 gallons = 15 miles per gallon.
Therefore, the unit rate of miles per gallon that Lucy gets is 15 miles per gallon.
Lucy can drive 270 miles on a full tank of 18 gallons.
So, the unit rate of miles per gallon is:
270 miles ÷ 18 gallons = 15 miles per gallon.
Therefore, the unit rate of miles per gallon that Lucy gets is 15 miles per gallon.
What is 9/10 ÷ 2/5
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1 point
9/4
18/50
4/9
50/18
*
1 point
9/4
18/50
4/9
50/18
To divide fractions, you need to multiply the first fraction (the dividend) by the reciprocal of the second fraction (the divisor).
Reciprocal of 2/5 = 5/2.
So, the division 9/10 ÷ 2/5 can be rewritten as 9/10 x 5/2.
Multiplying the numerators gives us:
9 x 5 = 45
Multiplying the denominators gives us:
10 x 2 = 20
So, 9/10 ÷ 2/5 = 45/20.
To simplify this fraction, we need to divide both the numerator and denominator by their greatest common divisor, which is 5.
Dividing both the numerator and denominator by 5 gives us:
45 ÷ 5 = 9
20 ÷ 5 = 4
So, 9/10 ÷ 2/5 simplifies to 9/4.
Therefore, 9/10 ÷ 2/5 = 9/4.
Reciprocal of 2/5 = 5/2.
So, the division 9/10 ÷ 2/5 can be rewritten as 9/10 x 5/2.
Multiplying the numerators gives us:
9 x 5 = 45
Multiplying the denominators gives us:
10 x 2 = 20
So, 9/10 ÷ 2/5 = 45/20.
To simplify this fraction, we need to divide both the numerator and denominator by their greatest common divisor, which is 5.
Dividing both the numerator and denominator by 5 gives us:
45 ÷ 5 = 9
20 ÷ 5 = 4
So, 9/10 ÷ 2/5 simplifies to 9/4.
Therefore, 9/10 ÷ 2/5 = 9/4.
Zya wants to paint her bedroom wall. If she completes 2/5 of the wall in 1/2 hour, how long will it take her to paint the whole wall?
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2 points
3/10 of an hour
3/7 of an hour
2/10 of an hour
4/5 of an hour
*
2 points
3/10 of an hour
3/7 of an hour
2/10 of an hour
4/5 of an hour
To determine how long it will take Zya to paint the whole wall, we can calculate the unit rate of how much of the wall she can paint per hour.
If Zya completes 2/5 of the wall in 1/2 hour, we can find out how much of the wall she can paint in 1 hour by multiplying 2/5 by 2 (since there are 2 halves in 1 hour):
(2/5) x 2 = 4/5 of the wall per hour
Therefore, Zya can paint 4/5 of the wall in one hour.
To find out how long it will take her to paint the whole wall, we need to divide the whole wall (1 whole) by the rate of painting per hour (4/5):
1 whole wall ÷ (4/5 of the wall per hour) = 1 ÷ (4/5) = 5/4 = 1 1/4 hours
Therefore, it will take Zya 1 1/4 hours to paint the whole wall.
If Zya completes 2/5 of the wall in 1/2 hour, we can find out how much of the wall she can paint in 1 hour by multiplying 2/5 by 2 (since there are 2 halves in 1 hour):
(2/5) x 2 = 4/5 of the wall per hour
Therefore, Zya can paint 4/5 of the wall in one hour.
To find out how long it will take her to paint the whole wall, we need to divide the whole wall (1 whole) by the rate of painting per hour (4/5):
1 whole wall ÷ (4/5 of the wall per hour) = 1 ÷ (4/5) = 5/4 = 1 1/4 hours
Therefore, it will take Zya 1 1/4 hours to paint the whole wall.
pick one
1 1/4 hours
Zya wants to paint her bedroom wall. If she completes 2/5 of the wall in 1/2 hour, how long will it take her to paint the whole wall?
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2 points
a.3/10 of an hour
b.3/7 of an hour
c.2/10 of an hour
d.4/5 of an hour
*
2 points
a.3/10 of an hour
b.3/7 of an hour
c.2/10 of an hour
d.4/5 of an hour
To find how long it will take Zya to paint the whole wall, we can calculate the unit rate of 2/5 of the wall per time period.
If Zya completes 2/5 of the wall in 1/2 hour, we need to find the reciprocal of 2/5. The reciprocal of a fraction is found by flipping the numerator and denominator.
The reciprocal of 2/5 is 5/2.
To calculate the time it will take to paint the whole wall, we can multiply 1/2 hour by the reciprocal of 2/5:
1/2 hour * 5/2 = (1 * 5) / (2 * 2) = 5/4 = 1 1/4 hours.
Therefore, it will take Zya 1 1/4 hours to paint the whole wall.
The answer is:
a. 3/10 of an hour
If Zya completes 2/5 of the wall in 1/2 hour, we need to find the reciprocal of 2/5. The reciprocal of a fraction is found by flipping the numerator and denominator.
The reciprocal of 2/5 is 5/2.
To calculate the time it will take to paint the whole wall, we can multiply 1/2 hour by the reciprocal of 2/5:
1/2 hour * 5/2 = (1 * 5) / (2 * 2) = 5/4 = 1 1/4 hours.
Therefore, it will take Zya 1 1/4 hours to paint the whole wall.
The answer is:
a. 3/10 of an hour
Val is planning to make fruit punch for his birthday sleepover. He needs to add 2 scoops of fruit punch mix for every 8 cups of water. The data table shows the ratios needed. At what ratio does the constant of proportionality appear?
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1 point
Captionless Image
(2, 8)
(8, 2)
(1, 4)
(24, 6)
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1 point
Captionless Image
(2, 8)
(8, 2)
(1, 4)
(24, 6)
To identify the ratio at which the constant of proportionality appears, we need to examine the relationship between the scoops of fruit punch mix and the cups of water.
According to the information given, Val needs to add 2 scoops of fruit punch mix for every 8 cups of water.
To determine the ratio, we can divide the number of scoops by the number of cups of water:
2 scoops ÷ 8 cups = 1/4
So, the constant of proportionality, which is the ratio at which the relationship between scoops of fruit punch mix and cups of water is consistent, appears at a ratio of 1 scoop for every 4 cups of water.
Therefore, the ratio at which the constant of proportionality appears is (1, 4).
According to the information given, Val needs to add 2 scoops of fruit punch mix for every 8 cups of water.
To determine the ratio, we can divide the number of scoops by the number of cups of water:
2 scoops ÷ 8 cups = 1/4
So, the constant of proportionality, which is the ratio at which the relationship between scoops of fruit punch mix and cups of water is consistent, appears at a ratio of 1 scoop for every 4 cups of water.
Therefore, the ratio at which the constant of proportionality appears is (1, 4).
Look at the quantities in the data table and determine if they are in a proportional relationship. If they are not in a proportional relationship, select why.
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2 points
Captionless Image
Yes, the data table has a proportional relationship
No, the ratios are not equivalent
No, the table does not count consecutively
No, the ration 7:105 is not proportional to the other ratios.
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2 points
Captionless Image
Yes, the data table has a proportional relationship
No, the ratios are not equivalent
No, the table does not count consecutively
No, the ration 7:105 is not proportional to the other ratios.
Since I don't have the specific data table in question, I cannot determine if the quantities in the table are in a proportional relationship or not. Please provide the data table for further analysis.
just pick one
No, the ratios are not equivalent.
Find the slope of the line.
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1 point
Captionless Image
-2
2
4
-4
*
1 point
Captionless Image
-2
2
4
-4
Without an image or specific equation, I cannot determine the slope of the line. Please provide more information or context to answer the question accurately.
just pick one dude
Sure, let's say the slope of the line is 2.
Which table demonstrates a proportional relationship?
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1 point
Captionless Image
Table 1
Table 2
Table 3
Table 4
*
1 point
Captionless Image
Table 1
Table 2
Table 3
Table 4
Without the specific tables mentioned, I am unable to determine which one demonstrates a proportional relationship. Please provide the tables or additional information so that I can assist you further.
pick one
Let's say Table 2 demonstrates a proportional relationship.
True or False? If a graph is proportional it will pass through the point (0,0).
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1 point
True
False
*
1 point
True
False
True. If a graph is proportional, it will pass through the point (0,0).
If Alex runs 3 miles in 60 minutes, how far will be run in 4 hours if he continues to run at the same rate?
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1 point
3/4 miles
12 miles
7 miles
15 miles
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1 point
3/4 miles
12 miles
7 miles
15 miles
To find out how far Alex will run in 4 hours, we need to determine the rate at which he runs.
If Alex runs 3 miles in 60 minutes, we can find his rate by dividing the distance (3 miles) by the time (60 minutes):
Rate = 3 miles / 60 minutes
To find out how far Alex will run in 4 hours, we need to multiply his rate by the number of hours (4):
Distance = Rate * Time
Distance = (3 miles / 60 minutes) * (4 hours)
To simplify the calculation, we can convert 4 hours to minutes:
4 hours = 4 * 60 minutes = 240 minutes
Distance = (3 miles / 60 minutes) * (240 minutes)
By cancelling out minutes, we are left with:
Distance = 3 miles * 240 / 60
Distance = 12 miles
Therefore, Alex will run 12 miles in 4 hours if he continues to run at the same rate.
If Alex runs 3 miles in 60 minutes, we can find his rate by dividing the distance (3 miles) by the time (60 minutes):
Rate = 3 miles / 60 minutes
To find out how far Alex will run in 4 hours, we need to multiply his rate by the number of hours (4):
Distance = Rate * Time
Distance = (3 miles / 60 minutes) * (4 hours)
To simplify the calculation, we can convert 4 hours to minutes:
4 hours = 4 * 60 minutes = 240 minutes
Distance = (3 miles / 60 minutes) * (240 minutes)
By cancelling out minutes, we are left with:
Distance = 3 miles * 240 / 60
Distance = 12 miles
Therefore, Alex will run 12 miles in 4 hours if he continues to run at the same rate.
A dolphin swims 100 miles in 4 days. Which equation could be used to find how many miles it swims in 18 days?
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1 point
y = 25 x 18
y = 100 x 18
100 = 18x
y = 100 x 4 x 18
*
1 point
y = 25 x 18
y = 100 x 18
100 = 18x
y = 100 x 4 x 18
To find how many miles the dolphin swims in 18 days, we can set up a proportion using the given information of distance and time.
In this case, we can establish the proportion:
(days the dolphin swims) / (days it takes to swim) = (distance the dolphin swims) / (distance it takes to swim)
Plugging in the values we know:
x / 4 = 100 / 18
Cross-multiplying:
18x = 4 * 100
Simplifying:
18x = 400
Dividing both sides by 18:
x = 400 / 18
Simplifying further:
x ≈ 22.22
Therefore, the equation y = 100 x 18 is the closest representation of how many miles the dolphin swims in 18 days.
In this case, we can establish the proportion:
(days the dolphin swims) / (days it takes to swim) = (distance the dolphin swims) / (distance it takes to swim)
Plugging in the values we know:
x / 4 = 100 / 18
Cross-multiplying:
18x = 4 * 100
Simplifying:
18x = 400
Dividing both sides by 18:
x = 400 / 18
Simplifying further:
x ≈ 22.22
Therefore, the equation y = 100 x 18 is the closest representation of how many miles the dolphin swims in 18 days.
Two friends entered a writing contest. Sam wrote 180 words in 60 minutes. Freya wrote 120 words in 30 minutes. Based on this data which statement is true?
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2 points
Sam wrote MORE words per minute with a unit rate of 4 words/1 minute.
Both friends wrote the same amount of words per minute.
Freya wrote MORE words per minute with a unit rate of 4 words/1 minute.
Freya wrote LESS words per minute with a unit rate of 4 words/1 minute.
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2 points
Sam wrote MORE words per minute with a unit rate of 4 words/1 minute.
Both friends wrote the same amount of words per minute.
Freya wrote MORE words per minute with a unit rate of 4 words/1 minute.
Freya wrote LESS words per minute with a unit rate of 4 words/1 minute.
To compare the rate at which Sam and Freya wrote words per minute, we need to find their respective unit rates.
Sam wrote 180 words in 60 minutes, so Sam's unit rate is:
180 words ÷ 60 minutes = 3 words/1 minute
Freya wrote 120 words in 30 minutes, so Freya's unit rate is:
120 words ÷ 30 minutes = 4 words/1 minute
Since Freya's unit rate is higher (4 words/1 minute), we can conclude that Freya wrote MORE words per minute compared to Sam.
Therefore, the statement "Freya wrote MORE words per minute with a unit rate of 4 words/1 minute" is true.
Sam wrote 180 words in 60 minutes, so Sam's unit rate is:
180 words ÷ 60 minutes = 3 words/1 minute
Freya wrote 120 words in 30 minutes, so Freya's unit rate is:
120 words ÷ 30 minutes = 4 words/1 minute
Since Freya's unit rate is higher (4 words/1 minute), we can conclude that Freya wrote MORE words per minute compared to Sam.
Therefore, the statement "Freya wrote MORE words per minute with a unit rate of 4 words/1 minute" is true.
Which of these objects will take the longest amount of time to reach 250 meters?
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1 point
Captionless Image
Object A
Object B
Object C
They will all reach 250 meters at the same time.
*
1 point
Captionless Image
Object A
Object B
Object C
They will all reach 250 meters at the same time.
Without the specific information or context about the objects mentioned, I am unable to determine which object will take the longest amount of time to reach 250 meters. Please provide more details or specific information about the objects in order to answer the question accurately.