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Jobisdone [24]
3 years ago
5

What is the solution for 5(m-3) ≥ 7m-2.4 ?

Mathematics
2 answers:
shtirl [24]3 years ago
7 0

Answer:

Step-by-step explanation:

5(m-3)≥7m-2.4

5m-15≥7m-2.4

2m≤-12.6

m≤-6.1

Effectus [21]3 years ago
4 0

Answer:

m>6.3

Step-by-step explanation:

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A number cube numbered 1 - 6 is rolled once. What is the probability that the side facing up shows 4
marshall27 [118]

Answer:   \bold{\dfrac{1}{6}}

<u>Step-by-step explanation:</u>

There is 1 four out of 6 possible numbers = \dfrac{1}{6}

7 0
3 years ago
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The speed limit is 25 miles per hour, but it seems that many of the cars are going faster. The city places 2 counter strips 360
klio [65]
You figure out how long it would take a car traveling at 25 mph
to cover 360 ft.  Any driver who does it in less time is speeding.

           (25 mi/hr) · (5,280 ft/mile) · (1 hr / 3,600 sec)

       =    (25 · 5280 / 3600)  ft/sec  =  (36 and 2/3) feet per second.

To cover 360 ft at 25 mph, it would take

                360 ft / (36 and 2/3 ft/sec)  =   9.82 seconds .

Anybody who covers the 360 feet in less than 9.82 seconds
is moving faster than 25 mph.
_________________________________

If you're interested, here's how to do it in the other direction:

Let's say a car covers the 360 feet in ' S ' seconds.
What's the speed of the car ?

           (360 ft / S sec) · (1 mile / 5280 feet) · (3600 sec/hour)

       =    (360 · 3600) / (S · 5280)  mile/hour

       =        245.5 / S    miles per hour .

The teacher timed one car crossing both strips in 7.0 seconds.
How fast was that car traveling ?

                   245.5 / 7.0  =  35.1 miles per hour


Another teacher timed another car that took 9.82 seconds to cross
both strips.  How fast was this car traveling ?

                        245.5 / 9.82  =  25 miles per hour
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3 0
2 years ago
In the diagram the length of segment TR can be represented by 5x-4.
masya89 [10]

Answer: The correct option is D, i.e., 15 units.

Explanation:

It is given that the  length of segment TR can be represented by 5x-4.

From figure it is noticed that the side TR and RV is equal and the length of segment RV is 2x+5. So,

5x-4=2x+5

3x=9

x=3

The value of x is 3, so the length of side RV is,

2x+5=2(3)+5=11

In triangle TRS and angle VRS,

TR=VR

\angle TRS=\angle VRS=90^{\circ}

RS=RS (common side)

By SAS rule of congruence triangle,

\triangle TRS\cong\triangle VRS

Therefore the side TS and VS are congruent sides.

From figure it is noticed that the length of side TS is 6x-3, therefore the length of side VS is also 6x-3.

VS=6x-3=6(3)-3=15

Hence, the length of side VS is 15 units and option D is correct.

4 0
3 years ago
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