Use the table to answer the question.8,48,10,60, x 72 y 84 Analyze the ratios in the table to find the missing values.(1 point)Responses22; 3422; 34432; 504432; 50412; 1412; 1418; 26
To find the missing values, we can analyze the ratios between consecutive numbers in the given table.
The ratio between the first two numbers is 48/8 = 6.
The ratio between the second and third numbers is 10/48 = 5/24.
The ratio between the third and fourth numbers is 60/10 = 6.
The ratio between the fourth and fifth numbers is x/60.
The ratio between the fifth and sixth numbers is 72/x.
The ratio between the sixth and seventh numbers is y/72.
Since the ratios between the first four numbers are all equal to 6, we can assume that the ratio between the fourth and fifth numbers is also 6. Therefore, we have x/60 = 6, which gives us x = 360.
Similarly, since the ratios between the fifth and sixth numbers and the sixth and seventh numbers are both equal to 12, we can assume that y/72 = 12. Solving for y gives us y = 864.
So, the missing values in the table are x = 360 and y = 864.
What happens when a wave is absorbed by a material?(1 point)
Responses
The wave passes through the material.
The wave passes through the material.
The wave supports the formation of an echo.
The wave supports the formation of an echo.
The wave bounces off the surface of the material.
The wave bounces off the surface of the material.
The wave transfers its energy to the material.
The wave transfers its energy to the material.
How does sunscreen work?(1 point)
Responses
It helps UV waves be able to pass through the skin.
It helps UV waves be able to pass through the skin.
It helps UV waves be able to pass through the air.
It helps UV waves be able to pass through the air.
It helps prevent the skin from absorbing UV waves.
It helps prevent the skin from absorbing UV waves.
It helps prevent the skin from reflecting UV waves.
It helps prevent the skin from absorbing UV waves.
To find the missing values in the table, we need to analyze the ratios between the given numbers.
Let's look at the ratios between the consecutive numbers:
- The ratio between 8 and 48 is 48/8 = 6.
- The ratio between 48 and 10 is 48/10 = 4.8.
- The ratio between 10 and 60 is 60/10 = 6.
- The ratio between 60 and x is 60/x.
- The ratio between x and 72 is x/72.
- The ratio between 72 and y is 72/y.
- The ratio between y and 84 is y/84.
Now, let's compare the ratios we have calculated:
- The ratio between 8 and 48 is the same as the ratio between 10 and 60, which is 6.
- So, we can say 48/8 = 60/10 (or 6 = 6), which allows us to determine that x = 10.
Next, let's compare the ratios between x, 72, and y:
- The ratio between x and 72 is the same as the ratio between 72 and y.
- So, we can say x/72 = 72/y, which we can solve for y.
By cross-multiplying, we get xy = 72 * 72, or xy = 5184.
Therefore, the missing values in the table are x = 10 and y = 5184.
Response: x = 10; y = 5184
To analyze the ratios in the table and find the missing values, we need to look for patterns or relationships between the given numbers.
First, let's observe the given numbers in the table: 8, 48, 10, 60, x, 72, y, 84.
We can compare consecutive numbers to check if their ratios are consistent.
The ratio between 8 and 48 can be calculated as 48/8 = 6.
The ratio between 10 and 60 can be calculated as 60/10 = 6.
The ratio between x and 72 can be calculated as 72/x.
The ratio between y and 84 can be calculated as 84/y.
Since the ratios between the known pairs (8:48 and 10:60) are the same (6), we can assume that the ratios involving the missing values would also be the same.
Now, to find the missing value x, we can set up a proportion with the known ratio:
8/48 = 72/x
Cross-multiplying the equation, we have:
8x = 48 * 72
Dividing both sides of the equation by 8, we get:
x = (48 * 72) / 8
We can simplify this expression:
x = 6 * 72
x = 432
Therefore, the missing value x is 432.
To find the missing value y, we can use the same logic:
10/60 = 84/y
Cross-multiplying the equation, we have:
10y = 60 * 84
Dividing both sides of the equation by 10, we get:
y = (60 * 84) / 10
Simplifying this expression:
y = 6 * 84
y = 504
Therefore, the missing value y is 504.
In conclusion, the missing values in the table are x = 432 and y = 504.