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Pie
3 years ago
9

Between which two consecutive whole numbers does \sqrt{51} lie?

Mathematics
1 answer:
Svetradugi [14.3K]3 years ago
4 0

To answer that question, find the closest perfect squares on either side of \sqrt{51}.  Those are the whole numbers falls between.

What is the closest perfect square less than 51?

What is the closest perfect square greater than 51?

Take the square root of both those numbers and you have your answer.

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What 30 x 23 30 x 23
7nadin3 [17]

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What is 0.16666666...as fraction .show your work
Alecsey [184]
<h3>Answer:   1/6</h3>

Work Shown:

x = 0.1666666...

10x = 1.666666...

100x = 16.666666...

100x - 10x = 16.666666... - 1.666666...

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8 0
3 years ago
Question 9
Angelina_Jolie [31]

The first car consumed 40 gallons of gas and second car consumed 30 gallons of gas

<em><u>Solution:</u></em>

Let x = gallons consumed by car 1

Let y = gallons consumed by car 2

Fuel efficiency of car 1 = 15 miles per gallon

Distance covered in 1 gallon of gas = 15 miles

Fuel efficiency of car 2 = 25 miles per gallon

Distance covered in 1 gallon of gas = 25 miles

<em><u>Given a total gas consumption of 70 gallons</u></em>

Therefore,

gallons consumed by car 1  + gallons consumed by car 2 = 70

x + y = 70 ------ eqn 1

<em><u>The two cars went a combined total of 1350 miles</u></em>

Therefore,

gallons consumed by car 1  x distance covered in 1 gallon of gas of car 1 + gallons consumed by car 2 x distance covered in 1 gallon of gas of car 2 = 1350

x \times 15 + y \times 25 = 1350

15x + 25y = 1350 ----- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

From eqn 1,

x = 70 - y ------- eqn 3

<em><u>Substitute eqn 3 in eqn 2</u></em>

15(70 - y) + 25y = 1350

1050 - 15y + 25y = 1350

10y = 1350 - 1050

10y = 300

y = 30

<em><u>Substitute y = 30 in eqn 3</u></em>

x = 70 - 30

x = 40

Thus first car consumed 40 gallons of gas and second car consumed 30 gallons of gas

4 0
4 years ago
Write the standard form of the line that passes through the given points. Include your work in your final answer. Type your answ
leonid [27]

Answer:

y=7

Step-by-step explanation:

To calculate the standard equation of a line given two points, you need to calculate the slope and the y intercept.

The slope is the change in y variables over the change in x variables between two points.

(7-7)/(4-0)

that gives you a slope of 0, ie the line is horizontal. That means that the y value is going to be constant while the x value changes, so you can write the equation as y= y value in any point, so y=7.

7 0
3 years ago
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