A spinner is divided into 8 equal sections, Each section is either blue or yellow. THe spinner was spun 40 times. It landed on a yellow section 10 times. Which proportion can be used to find the number of sections Y, that could be expected to be yellow?
A. 9/40-8=y/10
B.10/40=8/y
C.10/40=y/8
D.8/40=10/y
C?
If the ratio of rosebushes to trees in Syd's yard is 3 to 1 which of these shows possible numbers of rosebushes to trees in Syd's Yard?
A.20rosebushes 7trees
B.7rosebuhes 3trees
C.21rosebushes 7 trees
D.7rosebushes 21 trees
C?
Yes it's right
To solve the first problem about the spinner, we need to set up a proportion using the given information.
Let's denote the number of yellow sections as "Y." According to the problem, the spinner was spun 40 times, and it landed on a yellow section 10 times. This means that the ratio of yellow sections to total spins is 10/40.
So we can set up the following proportion to find the number of sections Y that could be expected to be yellow:
Y/40 = 10/40
Now we can solve this proportion to find the value of Y:
Cross-multiplying, we get:
Y * 40 = 10 * 40
Y * 40 = 400
Dividing both sides by 40, we get:
Y = 10
Therefore, there are 10 sections that could be expected to be yellow. Hence, the correct proportion is:
C. 10/40 = Y/8
Now let's move on to the second problem about the ratio of rosebushes to trees in Syd's yard. We're given that the ratio is 3 to 1, which means for every 3 rosebushes, there is 1 tree.
Let's check the options given:
A. 20 rosebushes, 7 trees: The ratio here is 20/7, which is not in the form of 3 to 1, so it is incorrect.
B. 7 rosebushes, 3 trees: The ratio here is 7/3, which is in the form of 3 to 1, so it is a possible option.
C. 21 rosebushes, 7 trees: The ratio here is 21/7, which is not in the form of 3 to 1, so it is incorrect.
D. 7 rosebushes, 21 trees: The ratio here is 7/21, which is not in the form of 3 to 1, so it is incorrect.
Therefore, the possible option for the ratio of rosebushes to trees in Syd's yard is:
B. 7 rosebushes, 3 trees.