Answer:
The student did not add 4 to all sides of the inequality
Step-by-step explanation:
2<-3x - 4<5
Add 4 to all sides
4 + 2< -3x - 4 + 4 < 5 + 4
6< -3x < 9
Divide all sides by the coefficient of x; -3
-2< x < -3
Remember, when dividing an inequality with a negative number, you must flip the sign
So, this becomes;
-2 > x > -3
Answer:
c.
Step-by-step explanation:
radius of custom made version=4×5=20 inches
(1) 31 bacteria per square centimeter
(2) 42 bacteria per square
centimeter
(3) 48 bacteria per square centimeter
(4) 51 bacteria per square centimeter
Answer: 31 bacteria per square centimiter.
Step-by-step explanation:
The correct number of bacteria in the question is 2,450.
Hi, to answer this question we have to apply the next formula:
Area of a circle = π x (diameter/2) ^2
Replacing with the values given:
A = π x (10/2) ^2
A = π x (5) ^2
A = π x 25 = 78.54 cm2
Next, we have to divide the number of bacteria (2,450) by the area of the dish
2450 / 78.54 = 31.19 = 31 bacteria per square centimiter.
Feel free to ask for more if needed or if you did not understand something.
B. 800 signs
C. 1,000 signs
D. 1,500 signs
Blaine could make approximately 650 signs in forty hours.
Calculate the working hours
Blaine needs 14 hours to set up his work station. So, out of the total 40 hours, he will have
=> 40 - 14 = 26 hours to actually work on making signs.
Calculate the minimum number of signs he can make
If Blaine makes 16 signs per hour, then in 26 hours, he will make a minimum of
=> 16 * 26 = 416 signs.
Calculate the maximum number of signs he can make
If Blaine makes 23 signs per hour, then in 26 hours, he will make a maximum of
23 * 26 = 598 signs.
Calculate the average number of signs he can make
To get a more reasonable estimate, we take the average of the minimum and maximum number of signs:
Average = (Minimum + Maximum) / 2
= (416 + 598) / 2 = 650 signs.
Hence the correct option is (a).
To know more about average here
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