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Mandarinka [93]
3 years ago
13

An oarsman can row his boat 3 mph in still water. He sets out on the Illinois River, which flows at 5 mph. We are interested in

what an observer on shore measures. 14) When the man heads the boat directly downstream and rows as fast as he can, how fast does the observer on shore see the boat going
Mathematics
1 answer:
Artyom0805 [142]3 years ago
4 0

Answer:

The speed from the observer is 8 mph.

Step-by-step explanation:

When the boat is going downstream with full force, its speed will be the one the oarsman can row on still water added by the flow of the river. In this case he can row the boat at speed of 3 mph, while the stream is 5 mph, so the speed from the observer standpoint is:

speed = 3 + 5\\speed = 8 \text{ mph}

The speed from the observer is 8 mph.

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The population is a Midwest industrial town decreased from 224,000 to 221,000 in just 4 years. Assuming that this trend continue
valina [46]

Answer:

227750

Step-by-step explanation:

If we assume that the rate of increase in population is linear, then in 4 years the increase in population is (224000 - 221000) = 3000.

So, the rate of increase in population is \frac{3000}{4} = 750 persons per year.

Now, we have to calculate the population of the town after an additional 5 years.

So, the population in 5 years will increase by (750 × 5) = 3750

Therefore, the population after an additional 5 years will be (224000 + 3750) = 227750. (Answer)

7 0
4 years ago
Convert the following equations from point-slope form to slope-intercept form.
mojhsa [17]
<h2>Answer:</h2>

We need to solve both for y.

<u>#9:</u>

<u />y - 4 = 3(x - 1)\\\\y - 4 = 3x - 3\\\\y = 3x + 1<u />

<u>#10:</u>

<u />y - 1 = -4[x - (-3)]\\\\y - 1 = -4(x + 3)\\\\y - 1 = -4x - 12\\\\y = -4x - 11<u />

7 0
3 years ago
Kara bought two birthday gifts for her twin nephews. Each gift cost $12.50. Sales tax was
mixas84 [53]

Answer:

$27.12

Step-by-step:

So, we first need to learn how much money the tax is. We can find it like this

8.5 8.5x12.50

------ x 12.50 = ----------------

100 100

106.25

= ------------- = 1.0625 ~~ $1.06

100

The tax is $1.06

So now, the only thing left is to add

12.50 + 1.06 = $13.56

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In total, both gifts cost $27.12 with tax.

In total, both gifts cost

8 0
3 years ago
Select all of the following that are quadratic equations.
sleet_krkn [62]
The name Quadratic<span> comes from "quad" meaning square, because the variable gets squared (like x</span>2<span>). However, it is important to not that an expression is only quadratic if and only if the highest degree of a term is 2. Therefore, the quadratic equations from the pool of choices would be as follows:

</span><span>3x^2 + 5x - 7 = 0
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3 0
3 years ago
3(8-4g) simplify by distributing
lys-0071 [83]

Answer:

24 - 12g

Step-by-step explanation:

3(8-4g)

= 3(8) + 3(-4g)

= 24 + (-12g)

= 24 - 12g

5 0
3 years ago
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