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OverLord2011 [107]
3 years ago
9

Jake and Seth put some money into their money boxes every week. The amount of money (y), in dollars, in their money boxes after

a certain amount of time (x), in weeks, is shown by the equations below: Jake: y = 5x 85 Seth: y = 20x 40 After how many weeks will Jake and Seth have the same amount of money in their money boxes and what will that amount be? 3 weeks, $100 3 weeks, $285 6 weeks, $150 100 weeks, $3
Mathematics
1 answer:
Maru [420]3 years ago
4 0
1)  How many weeks will Jake and Seth be equal? set the equations equal to each other and solve for x:

5x + 85 = 20x + 40

45 = 15x

<u><em>x = 3 weeks</em></u>

2)  How much money will that be? plug x = 3 back into the equation to solve for y:

Jake:  5(3) + 85 = $100
Seth:  20(3) + 40 = $100

<u><em>answer is $100</em></u>
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Is 1 = 2 always a false statement?
lutik1710 [3]

Answer:

yes, 1 can never equal 2 unless it is manipulated (ex: 1(2) = 2)

because one is not being manipulated to equal 2 here, it is a false statement and will always be a false statement.

5 0
3 years ago
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Choose the correct simplification of the expression 3b/a-2
Goshia [24]
To solving with their equation and expression to step by step.

3b/a-2

= -2a+3b/a


4 0
3 years ago
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Mark rolls 2 fair dice and adds the results from each.
Natali5045456 [20]

Answer:

P ( X > 5 ) = 72,2 %

Step-by-step explanation:

The probability of success ( outcomes bigger than 5 )

If dice  1  outcome is 6 no matter wich outcome we get from dice 2 all events are successful, the we have 6 outcomes

If dice 1 outcome is 5  we also have  6 outcomes

If dice 1  outcomes is 4 we have 5 positive outcomes

If dice 1  outcome is 3  we have 4 positive outcomes

If dice 1  outcome is 2  we have 3 positive outcomes

if dice 1  outcome is 1  we have 2 positive outcomes

Total evaluating dice 1: positive outcomes 26

We will get the sames results analysing  dice 2 then we have a total of

52 successful events

And total numbers of outcomes is 36 + 36 = 72

Then

P ( X > 5 ) = 52/72  

P ( X > 5 ) = 0,722    

P ( X > 5 ) = 72,2 %

7 0
4 years ago
A
g100num [7]

Answer:

A

Step-by-step explanation:

7 0
3 years ago
Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a math
alex41 [277]

Answer:\frac{8}{3}\times \sqrt{\frac{2}{5}}

Step-by-step explanation:

Given two upward facing parabolas  with equations

y=6x^2 & y=x^2+2

The two intersect at

6x^2=x^2+2

5x^2=2

x^2=\frac{2}{5}

x=\pm \sqrt{\frac{2}{5}}

area  enclosed by them is given by

A=\int_{-\sqrt{\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left [ \left ( x^2+2\right )-\left ( 6x^2\right ) \right ]dx

A=\int_{\sqrt{-\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left ( 2-5x^2\right )dx

A=4\left [ \sqrt{\frac{2}{5}} \right ]-\frac{5}{3}\left [ \left ( \frac{2}{5}\right )^\frac{3}{2}-\left ( -\frac{2}{5}\right )^\frac{3}{2} \right ]

A=\frac{8}{3}\times \sqrt{\frac{2}{5}}

7 0
3 years ago
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