can anyone please answer these??
1. 2:x and 12:8
A.3
B.4
C.6
2. 5:15 and x:3
A.5
B.3
C.1
3. x:4 and 45:20
A.8
B.9
C.10
4. 21 to x and 7 to 10
A.24
B.30
C.40
5. x to 50 and 16 to 25
A.32
B.34
C.41
1. 2:x and 12:8
A.3
B.4
C.6
TYPO
2. 5:15 and x:3
A.5
B.3
C.1 <-----------------
3. x:4 and 45:20
A.8
B.9
C.10
4*45 = 20*x
x = 4*5*9/4*5
x = 9
4. 21 to x and 7 to 10
A.24
B.30
C.40
21/x =7/10
7 x = 3*7 *10
x = 30
5. x to 50 and 16 to 25
A.32
B.34
C.41
x/50 = 16/25
25 x = 2 * 25*16
x = 32
answer to 1??
1 is a typing error I believ
Certainly! Let's go through each question one by one.
1. 2:x and 12:8
To find the answer, we need to determine the relationship between the numbers on both sides of the colon. In this case, the first ratio is 2:x, which means that the second number is unknown. However, we can see that the second ratio is 12:8, so the second number is 8. Therefore, the answer is B.4.
2. 5:15 and x:3
Similar to the previous question, we need to determine the relationship between the numbers on both sides of the colon. The first ratio is 5:15, which means that the second number is three times the first number. Using this information, we can find the second number, which is 3 multiplied by 5, equaling 15. Therefore, the answer is A.5.
3. x:4 and 45:20
Again, we need to determine the relationship between the numbers on both sides of the colon. The first ratio is x:4, and the second ratio is 45:20. To find the value of x, we can use cross multiplication. Cross multiplying gives us x * 20 = 45 * 4, and by solving this equation, we find that x = 45 * 4 / 20 = 45 * 0.2 = 9. Therefore, the answer is B.9.
4. 21 to x and 7 to 10
To find the value of x, we have to find the relationship between the numbers on both sides of the "to". The first ratio is 21 to x, and the second ratio is 7 to 10. Since we know that 7 is to 10 as 21 is to x, we can set up a proportion by cross-multiplying: 7x = 21 * 10. Solving this equation, we find that x = 21 * 10 / 7 = 210 / 7 = 30. Therefore, the answer is B.30.
5. x to 50 and 16 to 25
Similarly, we need to determine the relationship between the numbers on both sides of the "to". The first ratio is x to 50, and the second ratio is 16 to 25. To find the value of x, we can set up a proportion: (x/50) = (16/25). Cross-multiplying gives us 25x = 16 * 50. Solving this equation, we find that x = (16 * 50) / 25 = 800 / 25 = 32. Therefore, the answer is A.32.
I hope that helps! If you have any more questions or need further clarification, feel free to ask.