Use computation to determine which of the following statements is true.(1 point) Responses 136⋅47>136 Start Fraction 13 over 6 End Fraction times Start Fraction 4 over 7 End Fraction greater than Start Fraction 13 over 6 End Fraction 110⋅52<110 Start Fraction 1 over 10 End Fraction times Start Fraction 5 over 2 End Fraction less than Start Fraction 1 over 10 End Fraction 1113⋅18<1113 Start Fraction 11 over 13 End Fraction times Start Fraction 1 over 8 End Fraction less than Start Fraction 11 over 13 End Fraction 47⋅103<47 Start Fraction 4 over 7 End Fraction times Start Fraction 10 over 3 End Fraction less than Start Fraction 4 over 7 End Fraction
To solve each of these inequalities, we need to compute the expressions on both sides of the inequality and determine if the statement is true or false.
1) 136 * 47 > (13/6) * (4/7)
136 * 47 = 6392
(13/6) * (4/7) = 104/63
Since 6392 is greater than 104/63, the statement is true.
2) 110 * 52 < (1/10) * (5/2)
110 * 52 = 5720
(1/10) * (5/2) = 1/4
Since 5720 is not less than 1/4, the statement is false.
3) 1113 * 18 < (11/13) * (1/8)
1113 * 18 = 20034
(11/13) * (1/8) = 11/104
Since 20034 is greater than 11/104, the statement is false.
4) 47 * 103 < (4/7) * (10/3)
47 * 103 = 4841
(4/7) * (10/3) = 40/21
Since 4841 is not less than 40/21, the statement is false.
Therefore, the only true statement is 136 * 47 > (13/6) * (4/7).
Using computation, which of the following statements is true?(1 point) Responses 529⋅78>529 5 Start Fraction 2 over 9 End Fraction times Start Fraction 7 over 8 End Fraction greater than 5 Start Fraction 2 over 9 End Fraction 412⋅54<412 4 Start Fraction 1 over 2 End Fraction times Start Fraction 5 over 4 End Fraction less than 4 Start Fraction 1 over 2 End Fraction 174⋅32<174 Start Fraction 17 over 4 End Fraction times Start Fraction 3 over 2 End Fraction less than Start Fraction 17 over 4 End Fraction 358⋅94>358
To determine which of the statements is true, we need to compute the expressions on both sides of the inequality.
1) 529 * 78 > (5/2) * (7/8)
529 * 78 = 41262
(5/2) * (7/8) = 35/8
Since 41262 is greater than 35/8, the statement is true.
2) 412 * 54 < (4/1) * (5/4)
412 * 54 = 22248
(4/1) * (5/4) = 5
Since 22248 is not less than 5, the statement is false.
3) 174 * 32 < (17/4) * (3/2)
174 * 32 = 5568
(17/4) * (3/2) = 51/4
Since 5568 is not less than 51/4, the statement is false.
4) 358 * 94 > 358
358 * 94 = 33652
Since 33652 is greater than 358, the statement is true.
Therefore, the true statements are:
529 * 78 > (5/2) * (7/8)
358 * 94 > 358
Which of the following statements is true?(1 point) Responses 138⋅47>138 Start Fraction 13 over 8 End Fraction times Start Fraction 4 over 7 End Fraction greater than Start Fraction 13 over 8 End Fraction 52⋅76<52 Start Fraction 5 over 2 End Fraction times Start Fraction 7 over 6 End Fraction less than Start Fraction 5 over 2 End Fraction 52⋅76>52 Start Fraction 5 over 2 End Fraction times Start Fraction 7 over 6 End Fraction greater than Start Fraction 5 over 2 End Fraction 56⋅34>56
To determine which of the statements is true, we need to compute the expressions on both sides of the inequality.
1) 138 * 47 > (13/8) * (4/7)
138 * 47 = 6486
(13/8) * (4/7) = 13/14
6486 is not greater than 13/14, so the statement is false.
2) 52 * 76 < (5/2) * (7/6)
52 * 76 = 3952
(5/2) * (7/6) = 35/6
3952 is not less than 35/6, so the statement is false.
3) 52 * 76 > (5/2) * (7/6)
52 * 76 = 3952
(5/2) * (7/6) = 35/6
3952 is greater than 35/6, so the statement is true.
4) 56 * 34 > 56
56 * 34 = 1904
Since 1904 is greater than 56, the statement is true.
Therefore, the true statements are:
52 * 76 > (5/2) * (7/6)
56 * 34 > 56