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Ira Lisetskai [31]
3 years ago
5

HELP ASAP PLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLSPLS

Mathematics
1 answer:
maria [59]3 years ago
8 0

Answer: 12 h ; 45 m

Step-by-step explanation:

*Important: From what I can see in this image, this appears to be a test. If this is the case, please do not cheat. In any case, here is the explanation.

What we know:

  • Progress has been made to 4.75
  • Rate of digging is 3/5 mph
  • Depth must be at least 12 1/2
  • We need to find the minimum amount of time the machine works

How to solve:

By setting up an algebraic equation, we can solve this.

Process:

  • Set up equation                            4.75 + 3/5x = 12 1/2
  • Convert                                          19/4 + 3/5x = 12 1/2

                                                                95/20 + 12/20x = 250/20

  • Subtract                                           -95/20                 -95/20

                                                                               12/20x= 155/20

  • Isolate x via division                                       /(12/20) /(12/20)
  • +Simplify                                                          

                                                                                         x= 12 11/20

  • Convert                                                                    12 h 33 m

Solution: 12 ; 45

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Elden [556K]
This question is easy once you understand. So when adding, subtracting, multiplying, or dividing with whole numbers you turn it into a fraction. So 12 is going to become 12/1. 8 1/8 is a mixed number so we have to turn it into an incomplete fraction. Here is how you do it. Multiply the denominator by the who number. So 8 x 8 = 64. Then you add your product to the numerator, which will make it 65. Then after this you keep your denominator giving you 65/8. Now we have to find the common denominator by finding the LCM. So the LCM is 8. Next we divide the old denominator by the new denominator. So 1 goes into 8, 8 times. And next 8 x the numerator. so 8 x 12 = 96. We do the same to the other side. Now we have 96/8 - 65/8 = 31/8. Finally we make this a mixed number. So 31 divided by 8. So you should get 3 7/8. 

I hope this helps! :)
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3 years ago
A student types 160 words in 4 min which unit rate represents this ratio
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40 wpm. Because 160/4=40.
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2160

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6 0
3 years ago
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A bird flies from the bottom of a canyon that is 71 4/5 feet below sea level to a nest that is 875 7/10 feet above sea level. Wh
Rainbow [258]

The difference in elevation between the bottom of the canyon and the​ bird's nest is 947 1/2 feet

<h3>What is the difference in elevation between the bottom of the canyon and the​ bird's nest?</h3>

The given parameters are:

Nest = 71 4/5 feet above the seal level

Bottom of canyon = 875 7/10 below sea level

Below sea level means negative

So, we have:

Nest = 71 4/5 feet

Bottom of canyon = -875 7/10

The difference in elevation between the bottom of the canyon and the​ bird's nest is calculated as

Difference = |Nest - Bottom of canyon|

This gives

Difference = |71 4/5 - (-875 7/10)|

Evaluate the difference

Difference = |947 1/2|

Remove the absolute bracket

Difference = 947 1/2

Hence, the difference in elevation between the bottom of the canyon and the​ bird's nest is 947 1/2 feet

Read more about depth at:

brainly.com/question/17147411

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8 0
1 year ago
"Suppose that you are a city planner who obtains a sample of 20 randomly selected members of a mid-sized town in order to determ
frosja888 [35]

Answer: 2.093

Step-by-step explanation:

As per give , we have

Sample size : n= 20

Degree of freedom : df= n-1=19

Significance level : \alpha: 1-0.95=0.05

Since , the sample size is small (n<30) so we use t-test.

For confidence interval , we find two-tailed test value.

Using students's t-critical value table,

Critical t-value : t_{\alpha/2, df}=t_{0.025,19}=2.093

Thus, the critical value for the 95% confidence interval = 2.093

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