Identify the value of x that makes each pair of rations equivalent.
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
6) 6 to 8 and 18 to x
A)20
B)22
C)24
7) 9÷36 and x÷4
A)1
B)4
C)9
8) 42÷22 and 21÷x
A)12
B)11
C)10
9) x÷7 and 5÷1
A)25
B)30
C)35
10)20÷x and 4÷8
A)35
B)40
C)48
I'll do the first one for you.
21 to x and 7 to 10
21/x = 7/10
Cross multiply and solve for x
7x = 210
x = 30
Use this same method for the rest of the problems.
4) To find the value of x that makes the ratios equivalent, we can set up a proportion:
21/x = 7/10
To solve for x, we can cross-multiply:
21 * 10 = x * 7
210 = 7x
x = 210/7
x = 30
Therefore, the value of x that makes the ratios equivalent is 30. The answer is B) 30.
5) Setting up the proportion:
x/50 = 16/25
Cross-multiplying:
25 * x = 50 * 16
25x = 800
x = 800/25
x = 32
The value of x that makes the ratios equivalent is 32. The answer is A) 32.
6) Forming the proportion:
6/8 = 18/x
Cross-multiplying:
6 * x = 8 * 18
6x = 144
x = 144/6
x = 24
The value of x that makes the ratios equivalent is 24. The answer is C) 24.
7) Writing the proportion:
9/36 = x/4
Cross-multiplying:
36 * x = 9 * 4
36x = 36
x = 36/36
x = 1
The value of x that makes the ratios equivalent is 1. The answer is A) 1.
8) Setting up the proportion:
42/22 = 21/x
Cross-multiplying:
22 * 21 = 42 * x
462 = 42x
x = 462/42
x = 11
Therefore, the value of x that makes the ratios equivalent is 11. The answer is B) 11.
9) Writing the proportion:
x/7 = 5/1
Cross-multiplying:
7 * 5 = 1 * x
35 = x
The value of x that makes the ratios equivalent is 35. The answer is C) 35.
10) Setting up the proportion:
20/x = 4/8
Cross-multiplying:
x * 4 = 20 * 8
4x = 160
x = 160/4
x = 40
The value of x that makes the ratios equivalent is 40. The answer is B) 40.
To identify the value of x that makes each pair of ratios equivalent, we need to set up a proportion equation and solve for x.
4) 21 to x and 7 to 10:
Setting up the proportion equation: 21/x = 7/10
Cross multiplying and solving, we get: 7x = 210
Dividing both sides by 7, we find: x = 30
Therefore, the answer is B) 30.
5) x to 50 and 16 to 25:
Setting up the proportion equation: x/50 = 16/25
Cross multiplying and solving, we get: 25x = 800
Dividing both sides by 25, we find: x = 32
Therefore, the answer is A) 32.
6) 6 to 8 and 18 to x:
Setting up the proportion equation: 6/8 = 18/x
Cross multiplying and solving, we get: 6x = 144
Dividing both sides by 6, we find: x = 24
Therefore, the answer is C) 24.
7) 9 ÷ 36 and x ÷ 4:
Setting up the proportion equation: 9/36 = x/4
Cross multiplying and solving, we get: 9 * 4 = 36 * x
Simplifying, we get: 36 = 36x
Dividing both sides by 36, we find: x = 1
Therefore, the answer is A) 1.
8) 42 ÷ 22 and 21 ÷ x:
Setting up the proportion equation: 42/22 = 21/x
Cross multiplying and solving, we get: 42x = 22 * 21
Simplifying, we get: 42x = 462
Dividing both sides by 42, we find: x = 11
Therefore, the answer is B) 11.
9) x ÷ 7 and 5 ÷ 1:
Setting up the proportion equation: x/7 = 5/1
Cross multiplying and solving, we get: x = 7 * 5
Simplifying, we get: x = 35
Therefore, the answer is C) 35.
10) 20 ÷ x and 4 ÷ 8:
Setting up the proportion equation: 20/x = 4/8
Cross multiplying and solving, we get: 4x = 20 * 8
Simplifying, we get: 4x = 160
Dividing both sides by 4, we find: x = 40
Therefore, the answer is B) 40.