Answer:
12) B --> x < 8/3
13) B --> x ≤ 1/6
Step-by-step explanation:
12) Solving inequalities is just like solving normal equations where you and add, subtract, multiply and divide sides by the same value. Keep in mind dividing or multiplying by a negative flips the sign:
x - 10 < 6 - 5x
Add 5x to both sides to combine the x terms:
x - 10 < 6 - 5x
+5x +5x
6x - 10 < 6
Add 10 to both sides to isolate the x term:
6x - 10 < 6
+10 +10
6x < 16
Now, divide by 6 on both sides:
x < 8/3, this is B
13) Simplify 2 - 4:
2-3(2x + 1) ≤ 6x(-2)
Distribute:
2 - 6x - 3 ≤ -12x
Add 12x to both sides and combine like terms:
6x - 1 ≤ 0
Add 1 to both sides:
6x ≤ 1
Divide by 6:
x ≤ 1/6, this is B
Answer:
<em>99% of confidence intervals for mean age of ICU patients</em>
<em>(53.8920 , 61.2079)</em>
Step-by-step explanation:
<u><em>Explanation</em></u>:-
<em>Given sample mean </em><em></em>
Given standard error is determined by
S.E =
<em>Given data standard error = 1.42</em>
<em>99% of confidence intervals for mean is determined by</em>
(53.8920 , 61.2079)
<u><em>Conclusion</em></u>:-
<em>99% of confidence intervals for mean is determined by</em>
<em>(53.8920 , 61.2079)</em>
Answer:
1/2x = 4 1/2
Where x = Number of servings = 9 servings
Step-by-step explanation:
Mini made a recipe that yields 4 and 1 over 2 cups.
1 recipe = 4 1/2 cups
1 serving = 1/2 cups
1/2 cups = 1 servings
4 1/2 cups = x servings
Cross Multiply
1/2 × x = 4 1/2
x = 4 1/2 ÷ 1/2
x = 9/2 ÷ 1/2
x = 9/2 × 2
x = 9 servings.
Therefore, the expression tha will help Mini to determine the number of servings her recipe will yield is
1/2x = 4 1/2
Where x = Number of servings = 9 servings
Answer:
32x - 24y - 5
Step-by-step explanation:
That's the answer that I got on the question
Let:
Philadelphia be point a
Pittsburgh be point b
Distance traveled by Michelle be x
Distance traveled by Rich be 305 x
The general formula is:
distance = velocity (time)
substituting the values:
michelle: X = 65(t)
rich: 305 - X = 70 t
substituting both equations gives:
X = 146.562 miles
t = 2.26 hours or 2 hours and 15 mins