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aleksklad [387]
3 years ago
10

Which expression can be used to calculate the rate per second at which the machine launches the balls? (4,20) (8,40) (12,60) (16

,80)
Mathematics
2 answers:
masya89 [10]3 years ago
8 0
5 because 20 divided by 4 is 5, 40 divided by 8 is 5, 60 divided by 12 is 5 and 80 divided by 5 is 16.
larisa86 [58]3 years ago
4 0
Hello.

The expression can be found by using the slope formula. 

The expression used to calculate the rate per second at which the machine launches the ball is 40x. 
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Find the value of x in the equation x⁄ 4 + x⁄14 + x⁄17 = 71
Morgarella [4.7K]

Hello from MrBillDoesMath!

Answer:

33769/181

Discussion:

Each term contains "x" so factoring it out gives

x( 1/4 + 1/14 + 1/17)  = 71       (*)

Use common factor (17*14*4  = 952) as the denominator to combine terms:

1/4 =  (17*14)/ 952  = 238/952

1/14 = (17*4)/952 = 68/952

1/17 = (14*4)/952  = 56/952

so 1/4 + 1/14 + 1/17 =    (238 + 68 + 56)/ 952 =  362/952 = 181/476

Substituting in (*) gives

x ( 181/476)  = 71                       => multiply both sides by 476/181

x = (71 * 476)/181                       => 71* 476 =33769

x = 33769/181

Thank you,

MrB

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