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fredd [130]
3 years ago
8

Traveling with the current, a boat can travel 48 miles in 3 hours. Against the current, it takes 6 hours to go the same distance

. Find the rate of the boat in still water and the rate of the current.
The answer lines consist of 2 lines for “Write the system of equations” and 1 line for “Solve the system to find the speed of the boat and speed of the current”
Mathematics
1 answer:
drek231 [11]3 years ago
8 0

Answer:

I

Step-by-step explanation:

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What is the distance between (-2 , 4) and (-2 , -4)<br> 8<br> 4<br> -2<br> 0<br> 6<br> -4
igor_vitrenko [27]

you should get the awenser 8

7 0
3 years ago
Please solve this, will rate 5 stars and mark as STAR!​
Nina [5.8K]

Answer:

\boxed{5 \cdot \sqrt{2}  \cdot \sqrt[6]{5} }

Step-by-step explanation:

\sqrt[3]{250} \cdot \sqrt{\sqrt[3]{10} }

\sqrt{\sqrt[3]{10} } \implies (10^\frac{1}{3} )^\frac{1}{2} =10^\frac{1}{6} =\sqrt[6]{10}

\therefore \sqrt{\sqrt[3]{10} }=\sqrt[6]{10}

\text{Solving }\sqrt[3]{250} \cdot \sqrt{\sqrt[3]{10} }

250=2 \cdot 5^3

\sqrt[3]{250}=\sqrt[3]{2\cdot 5^3}=5  \sqrt[3]{2}

Once

\sqrt[6]{2}  \cdot \sqrt[6]{5} = \sqrt[6]{10}

We have

5  \sqrt[3]{2} \cdot \sqrt[6]{2}  \cdot \sqrt[6]{5}

We can proceed considering the common base of exponentials

\sqrt[3]{2}  \cdot \sqrt[6]{2}  =  2^{\frac{1}{3}} \cdot  2^{\frac{1}{6} }  = 2^{\frac{3}{6} } = 2^{\frac{1}{2} }=\sqrt{2}

Therefore,

5  \sqrt[3]{2} \cdot \sqrt[6]{2}  \cdot \sqrt[6]{5} = 5 \cdot \sqrt{2}  \cdot \sqrt[6]{5}

7 0
3 years ago
A company makes a $5 profit on each non-faulty product it sells. Approximately 2% of the products manufactured are faulty.
galben [10]

Step-by-step answer:

The steps are much easier to follow when we know how many product it sells.  The number does not really matter, because we need the profit per item.

Say, the company made and sold 100 items of the product.

The revenue = 100*5 = $500.

On the average, 2 out of 100 are defective and need to be replaced at a cost of $100 each, so

replacement cost = 2* 100 = 200

So net profit for 100 items = $500 -$200 = $300

Net profit for each item = $300/100 = $3.00

Remark: since the product is replaced, no refund is necessary, so revenue stays at $300.

7 0
3 years ago
What is the solution of 10=|7-3x|
Tom [10]

10=|7-3x| \\ 7-3x=10 \vee 7-3x=-10\\ 3x=-3 \vee 3x=17\\ x=-1 \vee x=\dfrac{17}{3}

5 0
3 years ago
Write each expression below in radical form and compute the value without using a calculator.
gregori [183]

Assuming that an exponentiation sign is missing, all you need to know is that rational exponents work like this:

a^{\frac{b}{c}}=\sqrt[c]{a^b}

So, you have

25^{\frac{5}{2}}=\sqrt{25^5}=\sqrt{(5^2)^5}=5^5

And similarly,

81^{\frac{7}{4}}=\sqrt[4]{25^7}=\sqrt[4]{(3^4)^7}=3^7

5 0
3 years ago
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