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2 years ago

Solve the inequality -8x < 32

Mathematics

2 answers:

slava [35]2 years ago

8 0

Step-by-step explanation:

divide the both sides by -8

$x > - 4$

you have to change the sign of inequality because you have divided by negative number

deff fn [24]2 years ago

4 0

Answer:

x>-4

Step-by-step explanation:

-8x<32 - First isolate the x by dividing both sides by -8

-8x/-8<32/-8

x>-4

<h2><u>When you divide or multiply by a negative the inequality sign flips.</u></h2>

<u></u>

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Lulu has 10 feet of ribbon. She uses 1 feet of ribbon for a project. She uses the

rodikova [14]

10-1 = 9 feet left

9 x 12 = 108 inches

108 / 8 inches per bow = 13.5 bows

she can make 13 bows

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2 years ago

There are 200 seats on the Boeing 747 flight from Dallas to Houston. Assume that the number of passengers who buy tickets but do

Dimas [21]

Answer:

a. The number of reservations should the manager accept is 225 bookings

b. The probability that the manager will have to compensate for customers when there are not enough seats is 0.2317

Step-by-step explanation:

According to the given data we have the following:

Cost of Overage Co = 800

Cost of Underage Cu = 475

Hence, Critical Ratio = Cu/(Cu+Co)

Critical Ratio = 475/1275

Critical Ratio = 0.3725

To calculate the number of reservations should the manager accept we would have to calculate first the Optimal Number of Overbooking as follows:

Z = NORM.S.INV(0.3725) = -0.3251

Optimal Number of Overbooking = Mean of No show + Z*Sd of No show

Optimal Number of Overbooking = 30 - 0.3251*15

Optimal Number of Overbooking = 25.12

Optimal Number of Overbooking = 25

a. Therefore, Number of reservation = Capacity + Overbooking = 200+25 = 225 bookings

b. Number of Overbooking = 220 - 200 = 20

Manager will have to compensate if there will be less than or equal to 19 No show.

Therefore, to calculate the probability that the manager will have to compensate for customers when there are not enough seats we have to calculate the following formula:

P(Compensation) = P(No Show <= 19) = P(Z <= (19-30/15))

P(Compensation) = P(Z<= - 0.7333)

P(Z< - 0.7333) = NORM.S.DIST(-0.7333,1)

P(Z< - 0.7333) = 0.2317

P(compensation) = 0.2317

Probability of Compensation = 0.2317

6 0

3 years ago

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jenyasd209 [6]

−24x+16

Hope this helps!

8 0

3 years ago

Read 2 more answers

Solve x²+5x+6=0 by completing the square

Brums [2.3K]

Answer:

x = -2

x= -3

Step-by-step explanation:

x 2+5x+6=0

To solve the equation, factor x^2+5x+6 using formula x^2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=5

ab=6

Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 6.

1,6

2,3

Calculate the sum for each pair.

1+6=7

2+3=5

The solution is the pair that gives sum 5.

a=2

b=3

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x+2)(x+3)

To find equation solutions, solve x+2=0 and x+3=0.

x=−2

x=−3

4 0

3 years ago

DB is a diameter of circle C. KAis a tangent line to circle C at point A.

Arte-miy333 [17]

Answer:

BAD is 67°

ABC is 90°

Step-by-step explanation:

ABC is 90 due to the diameter rule in circle theorem

If you need any other help alert me

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3 years ago