Methane gas contains carbon atoms and hydrogen atoms in the ratio of 1:4. A sample of methane gas contains 90 atoms. What value should be inserted into each rectangle?
(1 point)
Angelina is painting her room. She wants a very specific shade of bright blue paint, so she mixes blue and green paint in a ratio of 2:1. If she needs 6 gallons of paint, how many gallons of blue paint should she buy? Use a tape diagram to help organize your thinking
Angelina is painting her room. She wants a very specific shade of bright blue paint, so she mixes blue and green paint in a ratio of 2:1. If she needs 6 gallons of paint, how many gallons of blue paint should she buy
Let's solve this problem using proportions.
The ratio of blue to green paint is 2:1, which means for every 2 parts of blue paint, there is 1 part of green paint.
Let's assume "x" represents the number of parts we have for both blue and green paint.
According to the given ratio, we can create the proportion:
2/1 = x/6
To solve for x, we can cross multiply:
2 * 6 = 1 * x
12 = x
So, Angelina needs 12 parts of paint in total.
Since the ratio is 2:1, this means she needs 2/3 of the total for blue paint.
To find the amount of blue paint, we can calculate:
(2/3) * 12 = 8
Therefore, Angelina should buy 8 gallons of blue paint.
Angelina is painting her room. She wants a very specific shade of bright blue paint, so she mixes blue and green paint in a ratio of 2:1. If she needs 6 gallons of paint, how many gallons of blue paint should she buy? Use a tape diagram to help organize your thinking.(1 point)
Certainly! Let's use a tape diagram to solve the problem.
To represent the ratio of blue to green paint, we can use rectangles on a tape diagram.
Blue paint: [ ]
Green paint: [ ]
According to the given ratio of 2:1, we can represent this as:
Blue paint: [ 2 ]
Green paint: [ 1 ]
Since the total amount of paint needed is 6 gallons, we can divide the tape diagram into 6 parts.
Blue paint: [ 2 2 2 ]
Green paint: [ 1 1 1 ]
From the tape diagram, we can see that Angelina needs 6 parts of paint in total, out of which 4 parts are blue paint.
So, Angelina should buy 4 gallons of blue paint.
Breanna plays on her middle school basketball team. For every 5 shots she takes, she makes 2 baskets. If she makes 8 baskets, how many shots did she take? Use a tape diagram to help organize your thinking.
Let's solve this problem using a tape diagram.
To represent the shots and baskets, we can use rectangles on the tape diagram.
Shots: [ ]
Baskets: [ ]
According to the given ratio of 5 shots to 2 baskets, we can represent this as:
Shots: [ 5 ]
Baskets: [ 2 ]
Since Breanna made 8 baskets, we can divide the tape diagram into 8 parts.
Shots: [ 5 5 5 5 5 5 5 5 ]
Baskets: [ 2 2 2 2 2 2 2 2 ]
From the tape diagram, we can see that Breanna took 40 shots, as there are 8 parts of shots.
Therefore, Breanna took 40 shots in total.
wrong
Apologies for the mistake. Let's correct it.
To find the number of shots Breanna took, we need to set up a proportion using the given ratio.
The ratio of shots to baskets is 5:2. We can set up the proportion:
5/2 = x/8
To solve for x, we can cross multiply:
5 * 8 = 2 * x
40 = 2x
Dividing both sides by 2, we get:
x = 20
Therefore, Breanna took 20 shots in total.
A new superhero movie has its first showing and there are 155 people in line to see it. If the ratio of kids to adults waiting to see this movie is 3:2, how many adults are in line? Use a tape diagram to help organize your thinking.
Let's solve this problem using a tape diagram.
To represent the ratio of kids to adults, we can use rectangles on a tape diagram.
Kids: [ ]
Adults: [ ]
According to the given ratio of 3:2, we can represent this as:
Kids: [ 3 ]
Adults: [ 2 ]
Since the total number of people in line is 155, we can divide the tape diagram into 155 parts.
Kids: [ 3 3 3 ... (51 times)]
Adults: [ 2 2 2 ... (34 times)]
From the tape diagram, we can see that there are 34 parts representing adults.
So, there are 34 adults in line to see the movie.
wrong again
Apologies for the mistake. Let's correct it.
To find the number of adults in line, we need to calculate based on the ratio of kids to adults, which is 3:2.
Let's assume the common ratio is x. This means for every 3 parts for kids, there are 2 parts for adults.
According to the ratio, we can set up the equation:
3x + 2x = 155
Combining like terms, we get:
5x = 155
Dividing both sides by 5, we find:
x = 31
This means each part of the ratio represents 31 people.
To find the number of adults, we multiply the number of parts for adults (2) by the value of each part (31):
2 * 31 = 62
Therefore, there are 62 adults in line to see the movie.
A trail mix recipe calls for 1 cup of nuts for every 2 cups of granola. If you want to make 12 cups of trail mix, how many cups of granola will you need? Use a tape diagram to help organize your thinking.
To solve this problem, we can use a tape diagram to represent the ratio of nuts to granola.
Let's assume "x" represents the number of parts for both nuts and granola.
According to the given ratio of 1:2 (nuts to granola), we can represent this as:
Nuts: [ 1 ]
Granola: [ 2 ]
Since we want to make 12 cups of trail mix, we can divide the tape diagram into 12 parts.
Nuts: [ 1 1 1 1 1 1 ]
Granola: [ 2 2 2 2 2 2 ]
From the tape diagram, we can see that there are 12 parts in total.
Since the ratio is 1:2, this means we need 2/3 of the total for granola.
To find the amount of granola needed, we can calculate:
(2/3) * 12 = 8
Therefore, you will need 8 cups of granola.
An animal shelter has cats and dogs available for adoption in a ratio of 3:5. If there are 25 dogs available for adoption, how many cats are available? Use a tape diagram to help organize your thinking.
To solve this problem, we can use a tape diagram to represent the ratio of cats to dogs.
Let's assume "x" represents the number of parts for both cats and dogs.
According to the given ratio of 3:5 (cats to dogs), we can represent this as:
Cats: [ 3 ]
Dogs: [ 5 ]
Since there are 25 dogs available for adoption, we can divide the tape diagram into 25 parts for dogs.
Cats: [ 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 ]
Dogs: [ 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 ]
From the tape diagram, we can see that there are 15 parts representing cats.
Therefore, there are 15 cats available for adoption.
Thank you for helping me check my answers.
You're welcome! I'm glad I could help you. If you have any more questions, feel free to ask.
Which character trait describes an outstanding citizen?
thanks josh for you know pushing the robot to give us the right answer
Let's represent the amount of blue paint and green paint with rectangles on a tape diagram.
Blue paint: [ ]
Green paint: [ ]
According to the given ratio of 2:1, we can represent this as:
Blue paint: [ 2 ]
Green paint: [ 1 ]
Since the total amount of paint needed is 6 gallons, we can divide the tape diagram into 6 parts.
Blue paint: [ 2 2 2 ]
Green paint: [ 1 1 1 ]
From the tape diagram, we can see that Angelina needs 2 gallons of blue paint.