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Marat540 [252]
3 years ago
11

A boat takes 4 hours to go 20 miles upstream. It can go 32 miles downstream in the same time. Find the rate of the current and t

he rate of the boat in still water.​ (Hint: Because the current pushes the boat when it is going​ downstream, the rate of the boat downstream is the sum of the rate of the boat and the rate of the current. The current slows down the boat when it is going​ upstream, so the rate of the boat upstream is the difference of the rate of the boat and the rate of the​ current.)
Mathematics
1 answer:
KonstantinChe [14]3 years ago
4 0
Let the boat speed in still water be b.
Let the current speed be c.
The speed going upstream is 20/4 = 5 mph.
The speed going downstream is 32/4 = 8 mph.
b - c = 5 ........(1)
b + c = 8 .......(2)
Adding equations (1) and (2) we get:
2b = 13
b = 13/2 = 6.5
Plugging in the value for b into equation (1) we find c = 1.5.
The boat speed in still water is 6.5 mph and the current speed is 1.5 mph.
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A bag contains seven tiles labeled B, C, D, E, F, G, and H. One tile will be randomly picked. What is the probability of picking
Licemer1 [7]

Answer:

\sf \dfrac{1}{7}

Step-by-step explanation:

Given labeled tiles: B, C, D, E, F, G, H

Total number of tiles = 7

Vowels = A, E, I, O and U

⇒ Total number of vowel tiles in bag = 1

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

\implies \sf Probability\:of\:picking\:a\:vowel= \dfrac{Number\:of\:vowel\:tiles}{Total\:number\:of\:tiles}=\dfrac{1}{7}

7 0
3 years ago
If 32 yd of knitted material is made from 6 lb of yarn, how many yards will be made from 55 lb?
Airida [17]
I think the answer is 330 yds
5 0
3 years ago
Read 2 more answers
Brainliest if correct<br><br> Solve: 8( 4 - 2^{6} divided by 4)
polet [3.4K]

\huge\text{Hey there!}

\mathsf{\dfrac{8(4 - 2^6)}{4}}

\mathsf{2^6}\\\mathsf{\rightarrow2\times2\times2\times2\times2\times2}\\\mathsf{\rightarrow 4\times4\times4}\\\mathsf{\rightarrow 16\times4}\\\mathsf{\rightarrow \bf 64}

\mathsf{= \dfrac{8(4 - \bf 64)}{4}}

\mathsf{4 - 64}\\\mathsf{\rightarrow \bf -60}

\mathsf{= \dfrac{8(\bf -60)}{4}}

\mathsf{8(-60)}\\\mathsf{\rightarrow \bf -480}

\mathsf{= \dfrac{-480}{4}}\\\\\mathsf{\rightarrow \dfrac{-480\div4}{4\div4}}\\\\\mathsf{\rightarrow- \dfrac{\bf 120}{1}}\\\\\mathsf{\rightarrow \bold{-120}\div 1}}\\\\\mathsf{\rightarrow \bf -120}

\huge\text{Therefore, your answer is: \boxed{\mathsf{-120}}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

~\frak{Amphitrite1040:)}

6 0
2 years ago
Please help!!!!!!!!!!!!!!!!!!!
jek_recluse [69]

Answer:

  54 cm²

Step-by-step explanation:

The net of the 3 cm cube has 6 squares, each of which is 3 cm on a side. The area of each is (3 cm)² = 9 cm², so the total area is ...

  6×9 cm² = 54 cm²

5 0
2 years ago
What is the product of 4 x (-1/4)
natali 33 [55]

Remember that a positive number(+) multiplied by a negative(-) number results in a negative number. That means your answer will be negative. Also, dividing a positive number by a negative number and vice versa also results in a negative number.

Here is your equation:

4 \times -\frac{1}{4}

<h2><u>2 WAYS:</u></h2><h3>First Method:</h3>

Change -\frac{1}{4} into a decimal and multiply by 4.

First change -\frac{1}{4} into a decimal.

-\frac{1}{4} = -1 \div 4 = -0.25

Now multiply the decimal by 4.

-0.25 \times 4 = -1

Your answer is -1

<h3>Second Method:</h3>

Change 4 to a fraction and multiply.

4 \rightarrow \frac{4}{1}

Now multiply by -\frac{1}{4}:

\frac{4}{1} \times -\frac{1}{4}= \frac{-4}{4} \rightarrow -1

Your answer is -1

It doesn't matter which way you do it because you always end up with the same answer.

<em>If you have any questions, feel free to ask in the comments! :)</em>

7 0
3 years ago
Read 2 more answers
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