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3 years ago

Which is the solution set of the compound inequality 3.5x - 10 > -3 and 8x - 9 < 39

1 answer:

3 0

Hello! So, for the first inequality, we have to add 10 to both sides. When you do that, 3.5x > 7. Then, you have to divide both sides by 3.5. When you do that, you get x > 2. Then, for the second inequality, you have to add 9 to both sides, then you would get 8x < 48. Divide both sides by 8 and you get x < 6. The compound inequality for this question would be 2 < x < 6.

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Sean is employed as a truck driver. He drives x hours a week and is paid $21.60 per hour. Also he is paid $250 for food per week

allsm [11]

Answer:

Hours driven= 40 hours

Step-by-step explanation:

Giving the following information:

Variable income= $21.6 per hour

Fixed income= $250

Total income= $1,114

<u>To calculate the number of hours driven, we need to use the following formula:</u>

Total income= fixed income + hourly rate*number of hours

1,114 = 250 + 21.6*x

864 = 21.6x

864 / 21.6 = x

40=x

Hours driven= 40 hours

5 0

3 years ago

What does standard deviation mean?

Sveta_85 [38]

Standard deviation is: It is a measure of how spread out numbers are. It is the square root of the Variance, and the Variance is the average of the squared differences from the Mean.

For example: To find the standard deviation, you have to add up all the numbers in the data set, then divide by how many numbers there are, and that will get you your answer.

Example, Say your data set is: 9, 2, 5, 4, 12, 7, 8, 11, 9, 3, 7, 4, 12, 5, 4, 10, 9, 6, 9, 4.

The Mean is: 9 + 2 + 5 + 4 + 12 + 7 + 8 + 11 + 9 + 3 + 7 + 4 + 12 + 5 + 4 + 10+ 9 + 6 + 9 + 4. Over 20. That equals: 104 over 20 = 7.

So, the Standard Variance and Mean is: 7 for this problem.

Hope I helped!

- Debbie

4 0

2 years ago

What is the true solution to the equation below? In e^in x + in e^in x^2 = 2 in 8

mariarad [96]

To solve the given equation, w need to review some rules:
$(1) \ ln \ e = 1 \\ 
(2) \ ln \ b^{a} = a*ln \ b \\
(3) \ ln \ a + ln \ b = ln \ (ab) \\
(4) \ ln \ a - ln \ b = ln \ \frac{a}{b} \\$

The given equation is :
$ln \ e^{ln \ x} + ln \ e^{ln \ x^{2}} = 2 \ ln \ 8$
$ln \ x * ln \ e + ln \ x^{2} * ln \ e = 2 \ ln \ 8$ ⇒⇒⇒⇒ rule (2)
$ln \ x + ln \ x^{2} = ln \ 8^{2}$ ⇒⇒⇒⇒ rule (1) and rule (2)

$ln \ ( x* x^{2} ) = ln \ 64$ ⇒⇒⇒⇒ rule (3)
removing the nature logarithm from both sides

$x^{3} = 64 = 4^{3}$
∴ x = 4

So, the correct answer is option (2) ⇒⇒⇒⇒ x = 4

5 0

2 years ago

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Im doing this problem where I have to deal with fractions that have variables in them. here is the problem. I linked the picture

AVprozaik [17]

First you should combine n/6-5n/12
that goes to 2n/12-5n/12 which equals -3n/12

then you should cross multiply -3n/12 by 1/16
12(1)=-3n(16)
12=-48n then solve for n by dividing by -48
-12/48=n simplify -1/4=n or -.25=n

7 0

2 years ago

Gianna is going to throw a ball from the top floor of her middle school. When she throws the ball from 48feet above the ground,

My name is Ann [436]

Answer: t = 3seconds

Step-by-step explanation:

To find the zero means we will equate the function to zero and then solve, that is

$-16t^{2}$ + 32t + 48 = 0

by factorizing , we have

(t+1)(-16t+48) = 0

Therefore:

t = -1 or t = 3

since time can not be negative , then , t = 3 seconds

5 0

3 years ago

Read 2 more answers