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Akimi4 [234]
2 years ago
11

Ralph bought a computer monitor with an area of 384 square inches. The length of the monitor is six times the quantity of five l

ess than half its width. Complete the equation that can be used to determine the dimensions of the monitor in terms of its width, w. = w2 - w
Mathematics
1 answer:
Alenkasestr [34]2 years ago
7 0
Draw the picture and label the 
  width = w 
 The length of the monitor is six times the quantity of five less than half its width:
 length = 6(w/2-5)
 length = 3w-30
 Area = (length)*(width)
 384=(3w-30)*(w)
 384=3w^2-30w
 Answer:
 the dimensions of the monitor in terms of its width is: 
 384=3w^2-30w
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Mario walked at a rate of 2/3 miles every 10 minutes what is his unit rate every mile per hour
Dmitry_Shevchenko [17]

Mario's unit rate is given by 900 miles/hour.

Explanation:

We have been given that Mario walked at a rate of 2/3 miles every 10 minutes.

We have the relation between speed, time and distance, which is given by

\text{Speed}= \frac{\text{Distance}}{\text{Time}}

We have,

Distance = \frac{2}{3} \text{ miles}

Time = 10 minutes

On substituting these values in the above formula, we get

\text{Speed} = \frac{2/3}{10}\\\\ \text{Speed} =\frac{2}{10\cdot 3}\\\\ \text{Speed} =[tex]\frac{1}{15} \text{ miles/min}[/tex]

We have to find the unit rate in mile per hour, so we need to multiply it by 60

Thus, unit rate is given by

\frac{1}{15} \times 60\\ = 4 \text{ miles/hour}

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2 years ago
Julius is buying beverages for brunch. He needs to buy a total of 5 gallons of beverages. He decides to buy two containers of ea
BlackZzzverrR [31]

Answer:

2 quarts of orange juice  

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Step-by-step explanation:

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2 years ago
Suppose again that we are counting the ways to distribute exams to TAs and it matters which students' exams go to which TAs. The
abruzzese [7]

The question is incorrect.

The correct question is:

Three TAs are grading a final exam.

There are a total of 60 exams to grade.

(c) Suppose again that we are counting the ways to distribute exams to TAs and it matters which students' exams go to which TAs. The TAs grade at different rates, so the first TA will grade 25 exams, the second TA will grade 20 exams and the third TA will grade 15 exams. How many ways are there to distribute the exams?

Answer: 60!/(25!20!15!)

Step-by-step explanation:

The number of ways of arranging n unlike objects in a line is n! that is ‘n factorial’

n! = n × (n – 1) × (n – 2) ×…× 3 × 2 × 1

The number of ways of arranging n objects where p of one type are alike, q of a second type are alike, r of a third type are alike is given as:

n!/p! q! r!

Therefore,

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2 years ago
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Mama L [17]

Hello there,

To find out the equation you use the slope intercept form...

y = mx + b

M is the slope and b is where the line crosses the y-axis...

Now to find the slope you count the distance from two points so...

The distance from (0,2) to (1,5) is 3 units up and 1 unit over.

So the correct answer should be...

y = 3x + 2


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vova2212 [387]

Answer:

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Step-by-step explanation:

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