Use cross products to see if each pair of ratios forms a proportion. Replace each box with = or ≠.
1.
seven-fifths and fifteen-tenths (
=
≠
2.
six-eighths and fifteen-twentieths
=
≠
Solve each problem.
3.
two-thirds equals twelve over x
x = 18
x = 12
x = 36
x = 8
4.
six-elevenths equals eighty-four over x
x = 40
x = 120
x = 254
x = 154
5.
twenty-two miles over fifty-five hours equals twelve miles over h hours
48
30
45
22
1. is unequal to
2. is equal to
3. 36
4.IDK yet
5.IDK yet
1. ≠
I'll be glad to check your answers for the other problems.
six-eighths and fifteen-twentieths
To determine if each pair of ratios forms a proportion, you can use the cross product property. The cross product of a proportion should be equal. Let's go through each problem step by step:
1. Seven-fifths and fifteen-tenths:
To determine if these two ratios form a proportion, we can calculate their cross products:
(7 * 10) and (5 * 15)
The cross products are 70 and 75, which are not equal. Therefore, the answer is ≠.
2. Six-eighths and fifteen-twentieths:
Let's calculate the cross products:
(6 * 20) and (8 * 15)
The cross products are 120 and 120, which are equal. Therefore, the answer is =.
Now let's solve each problem:
3. Two-thirds equals twelve over x:
We can solve this proportion using cross products. Cross-multiplying gives us:
(2 * x) = (3 * 12)
2x = 36
Dividing both sides by 2, we get:
x = 18
So the value of x is 18.
4. Six-elevenths equals eighty-four over x:
Using cross products, we get:
(6 * x) = (11 * 84)
6x = 924
Dividing both sides by 6, we get:
x = 154
So the value of x is 154.
5. Twenty-two miles over fifty-five hours equals twelve miles over h hours:
By cross-multiplying, we have:
(22 * h) = (55 * 12)
22h = 660
Dividing both sides by 22, we get:
h = 30
So the value of h is 30.