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zavuch27 [327]
2 years ago
6

A group of campers walked at a speed of 4. 5 mph from their campsite to a rest area. Their return trip to the campsite took 15 m

inutes longer because their speed was only 4 mph. What is the distance between the campsite and the rest area?.
SAT
1 answer:
tia_tia [17]2 years ago
5 0

The distance between the campsite and the rest area is 9 miles.

The given parameters:

  • <em>Initial speed of the campers, u = 4.5 mph</em>
  • <em>Final speed of the campers, v = 4 mph</em>

<em />

Let the time of motion from the campsite to rest area = t (hours)

Time for return trip = t hours +  15 mins

                               = (t + 0.25) hours

Let the distance between the campsite and rest area = d

d = 4.5t

d = 4(t + 0.25)

4.5t = 4(t + 0.25)

4.5t = 4t + 1

4.5t - 4t = 1

0.5t = 1

t = 2 hours

The distance between the campsite and the rest area is calculated as follows;

d = 4.5t

d = 4.5 x 2

d = 9 miles

Thus, the distance between the campsite and the rest area is 9 miles.

Learn more about distance and speed here: brainly.com/question/2854969

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maxonik [38]

Assume Allison, Bob, and Charisse are the only three buyers of oranges, and only three oranges can be supplied per day.

Refer to Table 7-5. If the market price of an orange is $0.65, then consumer surplus amounts to <u>$3.60</u>

<h3>What is consumer surplus?</h3>

Consumers' surplus is a measure of consumer welfare and is defined as the excess of social valuation of product over the price actually paid. It is measured by the area of a triangle below a demand curve and above the observed price. Since there is willingness to pay.

Therefore, the correct answer is as given above.

learn more about consumer surplus: brainly.com/question/380921

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The complete question goes thus:

For each of three potential buyers of oranges, the table displays the willingness to pay for the first three oranges of the day. Assume Allison, Bob, and Charisse are the only three buyers of oranges, and only three oranges can be supplied per day.

Refer to Table 7-5. If the market price of an orange is $0.65, then consumer surplus amounts to________

4 0
1 year ago
Factor the expression into an equivalent form 12y^2-75.
elena-14-01-66 [18.8K]

Hello oddworld7836!

\huge \boxed{\mathbb{QUESTION} \downarrow}

Factor the expression into an equivalent form 12y² - 75.

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

12 y ^ { 2 } - 75

By observing the expression, we can see that, 3 is the only common factor in both the terms of the expression. So, take the common factor 3 out.

12 y ^ { 2 } - 75 \\  = 3\left(4y^{2}-25\right)

Now, look at (4y² - 25). They don't have any common factors but they appear in the form of the algebraic identity ⇨ a² - b² = (a + b) (a - b). Here,

  • a² = 4, a = 2 (√a² = ✓4 = 2)
  • b² = 25, b = 5 (√b² = ✓25 = 5)

So, the (4y² + 25) becomes...

(4 {y}^{2}  - 25) \\  = \left(2y-5\right)\left(2y+5\right)

Now, bring the 3 (common factor) & rewrite the complete expression.

12 y ^ { 2 } - 75 \\  =  \boxed{ \boxed{ \bf \: 3\left(2y-5\right)\left(2y+5\right) }}

We can't further simplify it. Also, remember that the simplified form of an expression is equivalent to the expression. So, 3 (2y - 5) (2y + 5) is equivalent to 12y² - 75.

__________________

Hope it'll help you!

ℓu¢αzz ッ

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