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Colt1911 [192]
3 years ago
6

S = a + lw gives the cost s of building a table of width w ft. Find a formula for w in terms of s.

Mathematics
1 answer:
Zarrin [17]3 years ago
6 0

Answer:

w = (S - a) / l

Step-by-step explanation:

Given:

S = a + lw

Find a formula for w in terms of s

S = a + lw

Subtract a from both sides

S - a = a - a + lw

S - a = lw

Divide both sides by l

(S - a) / l = lw / l

(S - a) / l = w

Therefore,

w = (S - a) / l

It can also be written as (S - a ) ÷ l

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The driving distance between Manchester and London is 195 miles. Faris intends to travel from Manchester to London by coach. The
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Question:

The driving distance between Manchester and London is 195 miles. Faris intends to travel from Manchester to London by coach. The coach will leave Manchester at 3:30 pm. Faris assumes that the coach will travel at an average speed of 50 mph; using his assumption workout Faris’s arrival time in London

Answer:

Arrival = 7:24pm

Step-by-step explanation:

Given

Distance = 195\ miles

Speed = 50mi/hr

Take\ off = 3:30\ pm

Required

Determine the time of arrival

First, we need to calculate the time to complete the journey.

Speed = \frac{Distance}{Time}

Make Time the subject

Time= \frac{Distance}{Speed }

Substitute values for Distance and Speed

Time= \frac{195mi}{50mi/hr}

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The arrival time is:

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Arrival = 3:30pm + 3.9\ hours

Split

Arrival = 3:30pm + 3\ hours + 0.9\ hours

Arrival = 6:30pm + 0.9\ hours

Convert 0.9 hours to minutes

Arrival = 6:30pm + 0.9 * 60\ mins

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