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inn [45]
3 years ago
13

Working alone and at a constant rate, Machine A takes 3 hours to create a widget. Machine B, working alone and at a constant rat

e, takes x hours to create a widget. Working together, Machine A and B take 12 hours to build two widgets. What is the value of x?
Mathematics
1 answer:
PilotLPTM [1.2K]3 years ago
8 0

Answer:

Time required by Machine B to create a widget = 4 hours

Step-by-step explanation:

Time taken by Machine A ( T_{A} ) = 3 hours

Time taken by Machine B ( T_{B} )= x hours

Time taken by both machines by working together = 12 hours

The time required to both machines by  working together to finish a task is given by the formula = \frac{T_{A} {T_{B} } }{T_{A} + T_{B} }

Put the values in above formula we get

⇒ T =  \frac{3 x}{3 + x}

⇒ 12 =  \frac{3 x}{3 + x}

⇒ 36 + 12 x = 3 x

⇒ x = - 4 hours

This is the time required by Machine B to create a widget.

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sweet [91]

Answer:

12

Step-by-step explanation:

to find area you do length times width. if we have one side we have to find what 120/10 is. that is 12. 10 x 12 is 120.

6 0
3 years ago
Which is a y-intercept of the graphed function
dybincka [34]

Answer:

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Step-by-step explanation:

There is no graph posted, but y-intercepts are <em>x</em>'s are set equal to zero.

I am joyous to assist you anytime.

4 0
3 years ago
Please help me at this wit steps how did you did it
balu736 [363]

Answer:

5. LCM of 7 and 14: <u> </u><u> </u><em><u>1</u></em><em><u>4</u></em><em><u>. </u></em>

multiples of 7: <u> </u><u> </u><u>7</u><u>,</u><u> </u><u>1</u><u>4</u><u> </u>

multiples of 14: <u> </u><u>1</u><u>4</u><u> </u>

LCM of 8 and 12: <u> </u><u> </u><em><u>2</u></em><em><u>4</u></em><em><u>. </u></em>

multiples of 8: <u> </u><u> </u><u>8</u><u>,</u><u> </u><u>1</u><u>6</u><u>,</u><u> </u><u>2</u><u>4</u><u> </u>

multiples of 12: <u> </u><u> </u><u>1</u><u>2</u><u>,</u><u> </u><u>2</u><u>4</u><u> </u>

Step-by-step explanation:

.

5 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIIEST 20 POINTS 6TH GRADE ASAP PLEASE
nignag [31]

Answer:

Both A and B

Step-by-step explanation:

For functions you are just trying to make sure all the x's are different.  

So let's look at A:  The x's there are all different so it is a function

Now let's look at B: The x's there are all different so it is a function.

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6 0
3 years ago
The average monthly mortgage payment including principal and interest is $982 in the united states. if the standard deviation is
Aleonysh [2.5K]
The probability that the monthly payment is more than $1000 will be found as follows;
The payment is normally distributed, thus the z-score will be given by:
Z-score=(x-Mean)/(SD)
Mean=$982
SD=$180
Thus;
Z-score=(1000-982)/180=0.1
The probability associated with a z-score of 0.1 is 0.5398
Thus the probability that the monthly payment is more than $1000 will be:
P(x<1000)=1-0.5398=0.4602=46.02%
 
5 0
3 years ago
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