"Twenty-eight is more than four times another number" can be shown by the inequality 28 > 4n. Select the values of n which could possibly make this a true statement.
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To solve for n in the inequality 28 > 4n, we can divide both sides by 4 to isolate n:
28/4 > n
7 > n
Therefore, any number n that is less than or equal to 7 would make this a true statement. Examples of possible values of n could include 0, 1, 2, 3, 4, 5, 6, or 7.
From the set {8, 16, 18}, use substitution to determine which value of x makes the equation true.
58x = 870
A.
16
B.
18
C.
none of these
D.
8
We can use substitution by trying each value of x from the set {8, 16, 18} and seeing which one makes the equation 58x = 870 true:
- If x = 8, then 58x = 58(8) = 464, which is not equal to 870.
- If x = 16, then 58x = 58(16) = 928, which is not equal to 870.
- If x = 18, then 58x = 58(18) = 1,044, which is also not equal to 870.
Therefore, none of these values of x make the equation 58x = 870 true, and the answer is (C) none of these.
From the set {20, 30, 33}, use substitution to determine which value of x makes the inequality true.
A.
none of these
B.
30
C.
33
D.
20
We need to know what inequality we are trying to solve for the value of x. Please provide the inequality.
From the set {6, 7, 11}, use substitution to determine which value of x makes the equation true.
15(x - 5) = 90
A.
6
B.
none of these
C.
7
D.
11
We can start by simplifying the left-hand side of the equation using the distributive property:
15(x - 5) = 15x - 75
Now we can substitute each value of x from the set {6, 7, 11} and see which one makes the equation true:
- If x = 6, then 15x - 75 = 15(6) - 75 = 90 - 75 = 15, which is not equal to 90.
- If x = 7, then 15x - 75 = 15(7) - 75 = 105 - 75 = 30, which is not equal to 90.
- If x = 11, then 15x - 75 = 15(11) - 75 = 165 - 75 = 90.
Therefore, the value of x that makes the equation 15(x - 5) = 90 true is x = 11, and the answer is (D).