Combine like terms to find the equivalent expression to 6(5/8u+1)-6(-7/4u-5)

Mathematics

1 answer:

IgorLugansk [536]3 years ago

6 0

Answer:

Step-by-step explanation:

Distribute 6 to 5/8u and 1 and you get 15/4u + 6. Distribute -6 to -7/4u and -5 and you get 21/2u and 30. The equation will be 15/4u + 6 + 21/2u + 30 and then combine like terms to get 57/4u + 36.

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The distance from Antville to Beetleton is 60 km.

serious [3.7K]

Answer:

i. Time = 2 hours.

ii. Average speed for the whole journey = 25 km/h

Step-by-step explanation:

Distance from Antville to Beetleton = 60 km

Mr. Caterpillar's speed = 30 km/h

Speed = $\frac{distance}{time}$

⇒ time = $\frac{distance}{speed}$

= $\frac{60}{30}$

= 2

time = 2 hours

It would take Mr. Caterpillar 2 hours to travel from Antville to Beetleton at that speed.

On his return journey, his average speed is 20 km/h. Therefore;

average speed for the whole journey = $\frac{30 + 20}{2}$

= $\frac{50}{2}$

= 25

average speed for the whole journey = 25 km/h

8 0

3 years ago

Please hurry! will give brainliest

slega [8]

Answer:

Step-by-step explanation:

If we think about a right triangle, we get that the hypotenuse is 24ft or the length of the ladder. The base of the ladder is 15ft away from the building which is the leg of the right triangle. The screenshot is the diagram (my drawing isn't that good lol:))

Thus we can use cosine function with the angle between the ladder and the ground since we need to find the angle and we get

$cos\alpha = \frac{15}{24}$