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polet [3.4K]
3 years ago
14

Solve 2(4 x + 3) < 5 x + 21. { x | x < 9} { x | x > -5} { x | x > -9} { x | x < 5}

Mathematics
1 answer:
Nesterboy [21]3 years ago
5 0

Answer:

x <5

Step-by-step explanation:

2(4 x + 3) < 5 x + 21

Distribute

8x +6 < 5x +21

Subtract 5x from each side

8x -5x +6 < 5x-5x+21

3x +6 < 21

Subtract 6 from each side

3x+6-6 <21-6

3x <15

Divide each side by 3

3x/3 <15/3

x <5

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Suppose the average commute time of your employees is unknown. The standard deviation of their commute time is estimated as 22.8
nexus9112 [7]

Answer:

96 employees

Step-by-step explanation:

Given that the standard deviation = 22.8

The width in the question = 12

We solve for the margin of error E.

E = width / 2

= 12/2 = 6

At 99%

Alpha = 1-0.99

= 0.01

Alpha/2 = 0.01/2 = 0.005

Z0.005 = 2.576

Sample size n

= ((2.576x22.8)/2)²

= 95.8

= 96

The number of employees is 96

Thank you!

6 0
3 years ago
PLZZZZ HELP <br> Which inequality does the number line represent?
seropon [69]

Answer: I had this question on test I put D

I haven’t gotten it graded

Step-by-step explanation:

7 0
3 years ago
Can you help with this I don’t know how to solve this.
Triss [41]

Answer:

arclength = 13.44 ft

Step-by-step explanation:

We are given PS = 28 feet, which is the length of the diameter.

The formula for arc length is  2\pi r\frac{x}{360}, where x is the degrees.

So, we need to find the radius. We know that the radius is half of the diameter, so:

\frac{28}{2}=14 ft

We also need to find ∠TXS. Since we know the diameter is a line that crosses the center point of the circle, we also know that ∠PXT and ∠TXS add up to 180°. So:

∠PXT + ∠TXS = 180

125 + ∠TXS = 180

∠TXS = 180 - 125

∠TXS = 55°

Now, we can use the arc length formula:

arclength=2\pi r\frac{x}{360}

arclength=2\pi (14)\frac{55}{360}

arclength=13.43903524...

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7 0
3 years ago
25. A car traveled 324 miles on 54 gallons of gas.
Vanyuwa [196]

Answer:

31 gallons of gas are needed to travel 186 miles

Step-by-step explanation:

Well since it took 54 gallons of gas to travel 324 miles you would divide 324 by 54 to find out how many miles could go into each gallon which would be 6 miles per gallon of gas so you would know that 186 divided by something would be 6 so you would do 186 divided by 6 instead to find the answer. So 31 gallons of gas are needed to travel 186 miles.

324/54 = 6

186/? = 6

186/6 = 31

4 0
3 years ago
Part A
Andreas93 [3]

Answer:

Part A:

Locker <u>A</u> is bigger. Locker A has a volume of <u>324</u> cubic feet.

Part B:

$113.40 each month

Step-by-step explanation:

Part A

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V = L(W)(H)

V = 6(6)(9)

V = 324

Part B

324(0.35) = 113.4

5 0
3 years ago
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