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timama [110]
3 years ago
12

Find all real numbers x such that 3x - 4 >5 and 8x - 19<

Mathematics
1 answer:
Kazeer [188]3 years ago
3 0

Answer:

x < 2 ∪ x > 3

Step-by-step explanation:

Rewrite 3x - 4 > 5 as 3x > 9.  This tells us that x must be greater than 3.

Rewrite 8x - 10 < 6.  Thus, 8x <  16 and x < 2.

The "solution set" is thus all real numbers to the left of 2 OR to the right of 3.

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Expand the expression (r-4)(8)
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4 years ago
What is the volume of a box with a width 2 1/2 inches, length 1 3/4 inches, and height 3 1/4 inches?
enot [183]

Answer:

The volume of the box is 41.21 inches cube.

Step-by-step explanation:

Given,

Width of the box 2\frac{1}{2} inches

                           =\frac{5}{2} inches  

Length of the box 1\frac{3}{4}inches

                           =\frac{7}{4} inches

Height of the box 3\frac{1}{4} inches

                            = \frac{13}{4} inches

The box is in cuboid form.

The volume of cuboid is given by (length × breadth × height ).

So,

volume of the box is  ( \frac{5}{2}  × \frac{7}{4} × \frac{13}{4} )

                                    = ( \frac{455}{32} )

                                    = 14.21 inches cube

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8 0
3 years ago
Steph runs a vehicle body repair shop with one mechanic in Cleveland. Repair time for vehicles is exponentially distributed, wit
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Answer:

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Step-by-step explanation:

Given arrival rate of customer = 15 customer/Hour

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Now, use the below formula to find the system utilization.

System utilization = \dfrac{\text{ Arrival rate of customer }}{\text{ Servie rate}}

System utilization = \dfrac{15}{ \dfrac{60}{2.8}}

System utilization = \dfrac{15}{ \dfrac{60}{2.8}}

System utilization = 0.7 or 70%

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3 years ago
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