Use the image to answer the question.
An illustration shows two horizontal tape diagrams made up of equally sized rectangles. The top tape diagram is labeled blueberries and is 3 rectangles long. The bottom tape diagram is labeled strawberries and is 1 rectangle long.
There are sixteen berries in a fruit bowl. The ratio of blueberries to strawberries is 3 to 1. What value should be inserted into each rectangle?
(1 point)
The number
should be inserted into each rectangle.
The number 4 should be inserted into each rectangle.
Use the image to answer the question.
An illustration shows a horizontal tape diagram divided into 5 equal rectangular sections. The first section is labeled carbon atoms. The remaining 4 sections are labeled hydrogen atoms.
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)
The number
should be inserted into each rectangle.
The number 18 should be inserted into each rectangle.
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)
To find out how many gallons of blue paint Angelina should buy, we can set up a tape diagram representing the ratio of blue to green paint.
Let's represent one unit of the ratio as 1 gallon. Then, according to the ratio of 2:1, we would have 2 units of blue paint and 1 unit of green paint.
Since Angelina needs a total of 6 gallons of paint, we can divide it into 3 sections of 2 gallons each.
The tape diagram would look like this:
[Blue] [Blue] [Green] [Blue] [Blue] [Green]
So, Angelina should buy 4 gallons of blue paint.
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.(1 point)
To find out how many adults are in line, we can set up a tape diagram representing the ratio of kids to adults waiting to see the movie.
Let's represent one unit of the ratio as x. According to the ratio of 3:2, we would have 3 units for kids and 2 units for adults.
Since we are given that there are 155 people in line, we can divide it into 5 equal parts, representing the 3 units for kids and the 2 units for adults.
The tape diagram would look like this:
[Kids] [Kids] [Kids] [Adults] [Adults]
So, there are (2/5) * 155 = 62 adults in line.
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.(1 point)
cats
To find out how many cats are available for adoption, we can set up a tape diagram representing the ratio of cats to dogs.
Let's represent one unit of the ratio as x. According to the ratio of 3:5, we would have 3 units for cats and 5 units for dogs.
Since we are given that there are 25 dogs available for adoption, we can divide it into 5 equal parts, representing the 5 units for dogs.
The tape diagram would look like this:
[Dogs] [Dogs] [Dogs] [Dogs] [Dogs]
So, there are (3/5) * 25 = 15 cats available for adoption.
To answer this question, we need to understand the ratio between blueberries and strawberries in the fruit bowl. According to the image, the ratio is 3 to 1.
Since there are sixteen berries in total, we can divide them into three parts for blueberries and one part for strawberries.
To find out how many berries are in each part, we divide the total number of berries (16) by the sum of the parts in the ratio (3 + 1 = 4).
16 berries ÷ 4 parts = 4 berries in each part.
Now, we can insert this value into each rectangle.
For the blueberries tape diagram, which consists of three rectangles, we multiply 4 berries by 3 rectangles to find the total number of blueberries:
4 berries/part × 3 parts = 12 blueberries.
For the strawberries tape diagram, which consists of one rectangle, we multiply 4 berries by 1 rectangle to find the total number of strawberries:
4 berries/part × 1 part = 4 strawberries.
So, the value that should be inserted into each rectangle is 4, representing the number of berries in each part of the ratio.