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Alecsey [184]
3 years ago
11

In a warehouse, a group of identical robots fills orders. In 10 minutes, 5 robots can fill 20 orders. If 8 robots worked at that

same rate for an hour, how many orders would they fill?
Mathematics
1 answer:
Alexxandr [17]3 years ago
7 0

Answer:

192 orders

Step-by-step explanation:

All robots are working simultaneously, so each robot takes 10 minutes to do their orders. They are all identical, so they take an equal amount of time to do each order, meaning 20 ÷ 5 = 4. Each robot takes 10 minutes to do 4 orders.

If there are eight robots working for 60 minutes, each robot can make six times as many orders, compared to when they were working for 10 minutes. 4 x 6 = 24. There are eight robots, so 24 x 8 = 192 orders.

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Write in simplest form:<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B24a%5E%7B10%7Db%5E%7B6%7D%7D" id="TexFormula1" ti
Charra [1.4K]

Answer:

2a^3b^2\sqrt[3]{3a}

Step-by-step explanation:

Use the following rules for exponents:

a^m*a^n=a^{m+n}\\\\\sqrt[3]{x^3}=x

Simplify 24. Find two factors of 24, one of which should be a perfect cube:

8*3=24\\\\2^3=8

Insert:

\sqrt[3]{2^3*3a^{10}b^6}

Now split the exponents. Split 10 into as many 3's as possible:

10=3+3+3+1

Insert as exponents:

\sqrt[3]{2^3*3*a^3*a^3*a^3*a^1*b^6}

Split 6 into as many 3's as possible:

6=3+3

Insert as exponents:

\sqrt[3]{2^3*3*a^3*a^3*a^3*a^1*b^3*b^3}

Now simplify. Any terms with an exponent of 3 will be moved out of the radical (rule #2):

2\sqrt[3]{3*a^3*a^3*a^3*a^1*b^3*b^3}\\\\\\2*a*a*a\sqrt[3]{3*a^1*b^3*b^3}\\\\\\2*a*a*a*b*b\sqrt[3]{3*a^1}

Simplify:

2a^3b^2\sqrt[3]{3a}

:Done

6 0
3 years ago
"The product of two numbers is 169. If the L.C.M. of these numbers is 13, find their H.C.F. "
umka21 [38]

Answer:

13

Step-by-step explanation:

HCF = Product of two numbers ÷  LCM of these numbers

HCF = \frac{169}{13}

        = 13

3 0
3 years ago
12'<br>Given that tan x =<br>sin x + cos x?<br>î, what is the value of<br>(WAEC]​
Andre45 [30]

Answer:

\tan(x) =  \sin(x)  +  \cos(x)

Sorry but your question is not too explanatory but I sure hope this helps

3 0
3 years ago
Please help me write quadratic equation given the roots and the leading coefficient
Pie

Answer:

Example Question: f(x) = 2x^2 + 2x - 1


If the leading coefficient is positive, the graph will be opening up (U) if the leading coefficient is negative, the graph will be opening down (n)


Roots are the x-intercepts that help find the axis of symmetry (add the two roots together and divide the result by 2 to get the axis of symmetry)


To find the vertex, simply imput the axis of symmetry into the given equation.


And that’s about it.

Step-by-step explanation:

I don’t know what you’re asking for??

5 0
2 years ago
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