identify the value of x that makes each pair of ratios equivalent
1. x:4" and "45:20"
A.8
B.9
C.10
2.21 to x and 7 to 10
A.24
B.30
C.40
3.x to 50 and 16 to 25
A.32
B.34
C.41
4.6 to 8 and 18 to x
A.20
B.22
C.24
5. 9/36 and x/4
A.1
B.4
C.9
6. 42/22 and 21/x
A.12
B.11
C.10
7. X/7 and 5/1
A. 25
B. 30
C. 35
8. 20/X and 4/8
A.35
B.40
C.40
x/4 = 45/20
5x/20 = 45/20
5x = 45
x = 9
Now it's your turn...
I mean, Ooops, gotta go - I'll check your answers later, I promise ...
To identify the value of x that makes each pair of ratios equivalent, we need to cross-multiply and solve for x.
1. x:4 and 45:20
Cross multiplying, we get 20x = 45 * 4
Simplifying the equation, we have 20x = 180
Dividing both sides by 20, we find x = 9
Therefore, the answer is B. 9
2. 21 to x and 7 to 10
Cross multiplying, we get 10x = 7 * 21
Simplifying the equation, we have 10x = 147
Dividing both sides by 10, we find x = 14.7
Therefore, the answer is not among the given options.
3. x to 50 and 16 to 25
Cross multiplying, we get 25x = 50 * 16
Simplifying the equation, we have 25x = 800
Dividing both sides by 25, we find x = 32
Therefore, the answer is A. 32
4. 6 to 8 and 18 to x
Cross multiplying, we get 8x = 6 * 18
Simplifying the equation, we have 8x = 108
Dividing both sides by 8, we find x = 13.5
Therefore, the answer is not among the given options.
5. 9/36 and x/4
Cross multiplying, we get 4 * 9 = 36x
Simplifying the equation, we have 36 = 36x
Dividing both sides by 36, we find x = 1
Therefore, the answer is A. 1
6. 42/22 and 21/x
Cross multiplying, we get 22 * 21 = 42x
Simplifying the equation, we have 462 = 42x
Dividing both sides by 42, we find x = 11
Therefore, the answer is B. 11
7. x/7 and 5/1
Cross multiplying, we get 1x = 7 * 5
Simplifying the equation, we have x = 35
Therefore, the answer is A. 35
8. 20/X and 4/8
Cross multiplying, we get 8 * 20 = 4x
Simplifying the equation, we have 160 = 4x
Dividing both sides by 4, we find x = 40
Therefore, the answer is B. 40