First you have to solve both inequalities,
3x-1>8
3x>9
x>3
and the other one
2x≤4
x≤2
then you graph each one on the number line
the graph says or, so the solution can satisfy either equation
the solution would be all real numbers except three
the way to write it is x≠3
The remainder is 1-5/8-1/4=8/8-5/8-2/8=1/8.
If the quantity of dressing was 24oz, then there would be 15oz of olive oil, 6oz of vinegar and 3oz of mixture, consisting of 1oz each of salt, pepper and sugar.
If the vinegar doubles we have 12oz of vinegar. The quantity of ingredients is 15oz of olive oil, 12oz of vinegar, and 2oz of mixture (no sugar) making 29oz altogether. The proportion of olive oil is therefore 15/29.
Since we already know that there is a 25% chance to guess the correct answer to a multiple choice question, all we have to do is multiply .25 and 68 to get the expected amount of answers a student can possibly guess. We multiply .25 since it is the decimal form of 25% and 68 is our total questions.
.25 x 68 = 17
Therefore, a student can expect to guess 17 answers correct on a test with 68 multiple choice questions.
Step-by-step explanation:
Put A = 2, B = 3, C = 9 and D = 15 to the given expressions.
Use PEMDAS.
-A + C - (D : B)
-2 + 9 - (15 : 3) = -2 + 9 - 5 = 7 - 5 = <u>2</u>
B × (-C) - (-D) + A
3 × (-9) - (-15) + 2 = -27 + 15 + 2 = -12 + 2 = <u>-10</u>
(C + D) : B + A
(9 + 15) : 3 + 2 = 24 : 3 + 2 = 8 + 2 = <u>10</u>
D : B + A - C
15 : 3 + 2 - 9 = 5 + 2 - 9 = 7 - 9 = <u>-2</u>
