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LuckyWell [14K]
2 years ago
14

Drew burned 2,000 calories Friday playing one hour of basketball and canoeing for two hours. Saturday he spent two hours playing

basketball in 3 hours canoeing and burned 3,300 calories. how many calories did he burn per hour when playing basketball? how many calories did he burn per hour when canoeing?
Mathematics
1 answer:
tensa zangetsu [6.8K]2 years ago
6 0
To answer this, write a system of equations and use one to solve the other.

b + 2c = 2000 or b = 2000 - 2c (substitute this in for b in the 2nd equation)

2b + 3c = 3300
2 (2000 - 2c) + 3c = 3300
4000 - 4c + 3c = 3300
4000 -c = 3300
-c = -700
c = 700 calories

He burned 700 calories per hour canoeing and 600 calories per hour playing basketball (2000 - 2 x 700).


 





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Jeremy rides his bike at a rate of 15 miles per hour. Below is a table that represents the number of hours and miles Kevin rides
TiliK225 [7]

The correct answer would be, Jeremy rides at a greater speed than Kevin.

Step-by-step explanation:

Jeremy rides at a rate of 15 miles per hour

Kevin rides at a rate given in the table

Let Y be the distance traveled by Jeremy

And X be the number of hours

Then for Jeremy:

y/x = 15/1

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For Kevin:  

(46-23)/(4-2)

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So for Kevin, Y = 11.5 x

So when Jeremy's and Kevin's rates are compared,

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which means Jeremy rides at a greater speed.  

Learn more about Time and Distance problem at:

brainly.com/question/3581191

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2 years ago
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Step-by-step explanation:

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Given:

It is given that surface area must be less than 150 cm².

Solution:

The Maximum Volume With Total Surface Area Less  than 150 cm² is shown in the table.

From the table, it can be concluded that for r=3.00 cm and h=4.95 cm the surface area will be less than 150 cm²  and the volume will be the maximum.

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Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?
QveST [7]
<span>I note that this problem starts out with "Which is a factor of ... "  This implies that you were given several answer choices.  If that's the case, it's unfortunate that you haven't shared them.

I thought I'd try finding roots of this function using synthetic division.  See below:

f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
Please use " ^ " to denote exponentiation.  Thanks.

Possible zeros of this poly are factors of 35:  plus or minus 1, plus or minus 5, plus or minus 7.  Use synthetic division; determine whether or not there is a non-zero remainder in each case.  If none of these work, form rational divisors from 35 and 6 and try them:  5/6, 7/6, 1/6, etc.

Provided that you have copied down the function 
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By graphing this function, I found that the graph crosses the x-axis at 7/2.  There is another root.

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         ___________________________
7/2   /   6    -21    -4    24    -35
                   21      0   -14     35           
        ----------- ------------------------------
           6        0     -4    10       0

Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial.  Thus, (x-3.5), or (x-7/2), is a factor.

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