You need to isolate the "x" in both inequalities
5x + 7 ≤ -3 Subtract 7 on both sides
5x ≤ -10 Divide 5 on both sides
x ≤ -2
3x - 4 ≥ 11 Add 4 on both sides
3x ≥ 15 Divide 3 on both sides
x ≥ 5
This is your simplified inequalities:
5x + 7 ≤ -3 or 3x - 4 ≥ 11 ---------> x ≤ -2 or x ≥ 5 Your answer is A
Answer:
24 Gallons
Step-by-step explanation:
We know his tank is 2/8 ths full. To get to 5/8ths we would have to add 3/8ths. If 3/8ths is equal to 9 then 1/8th would be equal to 3.
Answer:
No, they're not. To find the area of a circle you need to square the radius. They did not square the radius but instead multiplied it by 2.
Step-by-step explanation:
I hope this helps :)
Answer:
6.6 cm
Step-by-step explanation:
The tangent function relates the 35° angle, the adjacent side 12 cm, and the unknown opposite side, x.
We can write tan 35° = opp / adj = x / (12 cm)
Multiplying both sides by 12 cm isolates (solves for) x:
(12 cm)(tan 35°) = x Note that 35° is equivalent to 0.6109 radians.
Thus, x = (12 cm)(0.5484) = 6.58 cm, or 6.6 to the nearest tenth.
1. 7/9 - 3/8 = (7·8 - 9·3)/(9·8) = (56 -27)/72 = 29/72
2. (5 4/5) - (2 1/4) = (5 - 2) + (4/5 - 1/4) = 3 + (4·4 -5·1)/(5·4) = 3 11/20
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(a/b) -(c/d) = (ad -bc)/(bd) . . . . a useful formula to remember when working problems like this. It is equivalent to multiplying the first fraction by d/d and the second one by b/b to get a common denominator of bd. Of course if the second fraction is added instead of subtracted, the sign changes in both places.
