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3 years ago

5

What is the solution to the following inequality below? 3 > fraction 11+x over 4 > -3 Side Note: The last > should have

a solid line underneath it

1 answer:

Sunny_sXe [5.5K]3 years ago

6 0

Answer:

1 > x ≥ -23

Step-by-step explanation:

$3>\dfrac{11+x}{4}\ge -3\\\\12>11+x\ge-12\qquad\text{multiply by 4}\\\\\boxed{1>x\ge-23}\qquad\text{subtract 11}$

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dlinn [17]

The answer would be 12cm

4 0

3 years ago

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Solve the equation 2(AB) + 16 = 24 to find the length of segment AB. Write a justification for each step.

Lera25 [3.4K]

2(AB)+ 16= 24
⇒ 2(AB)= 24 -16
⇒ 2(AB)= 8
⇒ AB= 8/2
⇒ AB= 4

Final answer: AB=4~

8 0

3 years ago

Two planes start flying towards each other simultaneously from two different cities. The distance between the cities is 960 mile

Eddi Din [679]

Answer:

The speed of one plane = 257.5 miles per hour

And speed of second plane = 332.5 miles per hour

Step-by-step explanation:

We have given,

Distance between two cities = 960 miles

Two planes are flying towards each other.

Let the speed of one plane be x.

Then,

Speed of second plane = x+75 {Following this "one of the planes' speed exceeds the other by 75 mph"]

After 1.5 hours they are still 75 miles apart.

i.e Relative distance between two planes = Relative speed of plane × Time

Here

relative speed = x + (x+75) , and relative distance left to cover = 960-75.

i.e

(960 - 75) = {x+(x+75)}×1.5

885 = (2x+75)×1.5

or $\frac{885}{1.5} =2x+75$

or 590-75 = 2x

or 515 = 2x

or x = $\frac{515}{2}$ = 257.5

Hence the speed of one plane = x = 257.5 miles per hour

And speed of second plane = (x+75) = 257.5 + 75 = 332.5 miles per hour

6 0

3 years ago

Quadratic equations of the form _____ can be solved using square roots

icang [17]

Answer:

Step-by-step explanation:

Quadratic equations of the form (x - h)^2 + k = 0 can be solved using square roots: Take the square root of both sides, prefacing the right side with " ± "

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3 years ago

What is the Quotient of 1.65 of 10

Digiron [165]

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5 0

4 years ago

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