*Make sure to include steps.
2007-05-14 00:56:33 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
6/9 and 2/3
2007-05-14 00:56:52 · update #1
150:15 and 3:1
2007-05-14 00:57:16 · update #2
24:4 and 72:8
2007-05-14 00:57:43 · update #3
Determine whether the ratios are equivalent. Explain.?
*Make sure to include steps.
Additional Details
1 minute ago
6/9 and 2/3
you can multiply 2/3 by 1 to get 6/9, so they are equivalent
6/9 = 2/3 * 3/3 and 3/3 = 1
49 seconds ago
150:15 and 3:1
150/15 does not equal 3/1, because you can't multiply 3/1 by 1 to get 150/15
3/1 = 150/50 or 45/15
22 seconds ago
24:4 and 72:8
24/4 does not equal 72/8 because you can't multiply 24/4 by 1 to get 72/8
24/4 = 72/12 or 48/8
2007-05-14 01:03:16 · answer #1 · answered by Anonymous · 0⤊ 1⤋
1) 6/9 and 2/3
6/9
GCF is 3
6/3 = 2
9/3 = 3
6/9 = 2/3
2/3 = 2/3
The ratios are equivalent
2)
150/15 and 3: 1
150/15
GCF is 15
150/15 = 10
15/15 = 1
150/15 = 10: 1 not equal to 3: 1
Not equivalent ratios
3) 24/4 and 72/8
24/4
GCF is 4
24/4 = 6
4/4 = 1
24/4 = 6: 1
72/8
GCF is 8
72/8 = 9
8/8 = 1
72/8 = 9: 1 not equal to 6 : 1
Not equivalent ratios
2007-05-14 01:06:38 · answer #2 · answered by detektibgapo 5 · 0⤊ 0⤋
1) 18 trucks to 4 cars, 21 trucks to 6 cars NOT EQUIVALENT 18/4 = (2)(3)(3) / (2)(2) = 9/2 21/6 = (3)(7) / (2)(3) = 7/2 9/2 NOT equivalent to 7/2 2) $6 for every 10 people, $9 for every 15 people EQUIVALENT 6/10 = (2)(3) / (2)(5) = 3/5 9/15 = (3)(3) / (3)(5) = 3/5 3/5 equivalent to 3/5 3) 33 dinners to 6 packages, 14 dinners to 4 packages NOT EQUIVALENT 33/6 = (3)(11) / (2)(3) = 11/2 14/4 = (2)(7) / (2)(2) = 7/2 11/2 NOT equivalent to 7/2 4) A four cylinder engine produces a maximum of 110 horsepower. A six cylinder engine produces a maximum of 180 horse power. Do these engines have an eguivalent horsepower-to-cylinder ratio? Justify your answer. NOT EQUIVALENT horsepower-cylinder ratio 110/4 = (2)(5)(11) / (2)(2) = 55/2 180/6 = (2)(2)(3)(3)(5) / (2)(3) = 30
2016-05-17 21:30:38 · answer #3 · answered by Anonymous · 0⤊ 0⤋
Divide numerator and denominator by 3 to make 6/9 = 2/3
If you divide numerator and denominator by 10, 150/15 becomes 10/1, not 3/1
24/4 is actually 6 if you divide num and denom by 4. Whereas 72/8 is 9 if you divide both by 8. Not equivalent.
2007-05-14 01:00:40 · answer #4 · answered by krisser22 2 · 1⤊ 0⤋
6/9 = 2/3 (dividing by 3)---Equivalent
150:15 = 10:1 (dividing by 15)--Not equivalent
24:4 = 72:12 (multiplying by 3)---Not equivalent
2007-05-14 05:06:42 · answer #5 · answered by Como 7 · 0⤊ 0⤋
Do your own homework and listen in class !!!! :)
2007-05-14 01:04:59 · answer #6 · answered by Anonymous · 1⤊ 2⤋
different
2007-05-14 00:59:22 · answer #7 · answered by Anonymous · 0⤊ 1⤋