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.