Mike and Larry are friends who share the same birthday.They decided to have a birthday party together and their friends. Mike received 21 gifts while Larry received 12 gifts. What is the ratio of gifts for Mike to Larry ​

Answers:

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Work Shown:

List out the perfect squares

{1,4,9,16,25,36,49,64,81,100,121}

We stop once we reach 117 or just a bit higher.

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Then notice that

[tex]16 < 19 < 25 \ ... \ \text{19 between the squares 16 and 25}\\\\\sqrt{16} < \sqrt{19} < \sqrt{25} \ ... \ \text{ apply square root to all sides}\\\\4 < \sqrt{19} < 5[/tex]

Which shows [tex]\sqrt{19}[/tex] is between 4 and 5. Therefore, the two closest integers to [tex]\sqrt{19}[/tex] are 4 and 5.

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We follow the same steps for [tex]\sqrt{50}[/tex]

So,

[tex]49 < 50 < 64\\\\\sqrt{49} < \sqrt{50} < \sqrt{64}\\\\7 < \sqrt{50} < 8[/tex]

So the square root of 50 is between 7 and 8.

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And finally,

[tex]100 < 117 < 121\\\\\sqrt{100} < \sqrt{117} < \sqrt{121}\\\\10 < \sqrt{117} < 11[/tex]

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Using a calculator, we find that

[tex]\sqrt{19} \approx 4.36[/tex]

[tex]\sqrt{50} \approx 7.07[/tex]

[tex]\sqrt{117} \approx 10.82[/tex]

which helps confirm our answers.

Answer:

16

Step-by-step explanation:

Answer:

30

26

Step-by-step explanation:

Answer:

I'm guessing you're solving for X so

X=  17/2

Step-by-step explanation:

Answer:

24 and 25

Step-by-step explanation:

1/4 of 24 = 6

1/5 of 25 = 5

6 + 5 = 11

Answer:

slope is -1, y intercept is 5

Step-by-step explanation:

slope formula is y1-y2 over x1-x2

plug in formula

u get the slope is -1

Answers:

Slope = 4

Y intercept = 5

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Explanation:

Start at the point (-1,1) which is one point on the line. Then move up 4 units and to the right 1 unit to get to (0,5). This is another point on the line.

Therefore the slope = rise/run = 4/1 = 4.

You could also use the slope formula m = (y2-y1)/(x2-x1)

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The y intercept is 5 since the line crosses the y axis at this location. More specifically this is the point (0,5). For any y intercept, x = 0.

The equation of this line in slope intercept form is y = 4x+5. Compare it to y = mx+b and we have m = 4 as the slope and b = 5 as the y intercept.

Answer:

x=4

Step-by-step explanation:

5(x-10) = 30- 15x

5x - 50= 30 - 15x

+15x              +15x

20x - 50 = 30

       +50    +50

20x = 80

/20     /20

x = 4

Hope this helps!

Answer:

d * 0.20 = x

Step-by-step explanation:

In order to calculate the total cost of the DVD's we first need to change the percentage of the discount that Miguel's manager is giving him into decimal format by dividing the percentage by 100 like so...

20 / 100 = 0.20

Now that we have the decimal value we can multiply it by the actual cost of the DVDss to find the total cost before taxes. Since we do not have the actual DVD cost we would make the following equation where x is the final total cost and d is the initial cost of the DVDs.

d * 0.20 = x

Reflecting across the y axis, the x value becomes opposite and the y value remains the same.

(3,0) becomes (-3,0)

Answer:

(-3, 0)

Step-by-step explanation:

There is the same amount of units from either side of the y-axis to the points.

Answer:

1.8

Step-by-step explanation:

27 miles per hour

so 27 divided by 15

im pretty sure that’s correct.

Answer:

-98

Step-by-step explanation:

I hope this help

use the calculator but the answer is 18.1

Answer:

Is the answer -3x-y. If it is thank me plz.

Step-by-step explanation:

Answer:

The graph below models the value of a $20,000 car t years after it was purchased.

                    Value of Car

A graph titled Value of Car has years  bbhvb ngc,jon the x-axis and Dollars on the y-axis. A line curves down and goes through points (0, 20,000), (4, 10,000), and (14, 2,000).

Which statement best describes why the value of the car is a function of the number of years since it was purchased?

Each car value, y, is associated with exactly one time, t.

Each time, t, is associated with exactly one car value, y.

The rate at which the car decreases in value is not constant.

There is no time, t, at which the value of the car is 0.

Step-by-step explanation:

In two significant figures it is 0.067.

Answer:

8784. is the answer to the question

Answer:

8,784 hours

Step-by-step explanation:

You should come up with an equation. I came up with 366 x 24 = x. 366 is the number of days with 24 being the number of hours.

366 x 24 = 8,784 hours

Answer:

y = 3 x − 29

Step-by-step explanation:

First, let's find the slope of the line  

y = 3 x + 2

As the equation is already in slope-intercept form  

y = m x + c

Slope =  3

Let a point  ( x , y )  be on the new line.

By finding the slope again,

y − 1 x − 10 = 3

y − 1 = 3 ( x − 10 )

y − 1 = 3 x − 30

Which can then be converted to different forms:

Standard form:  

3 x − y = 29

Equation form:  

3 x − y−29 = 0

Slope-intercept form:  

y = 3 x − 29

graph{3x-y=29 [-32.3, 47.7, -34.1, 5.9]}

Answer:

hope this helps :)

Step-by-step explanation:

Answer/Step-by-step explanation:

Yes, it did because the coordinates of the other polygons would be a direct opposite of polygon ABCD depending on what line it reflects off of. If it reflects off of the y-axis then they would be the same coordinates, just that the X values of the coordinates would now be positive, for the reflection of the x-axis it is also the same except that now the x value would now stay negative while the y values would now be positive. For y=x, it is different because now the X, and Y place values now switch (for example, (-3,-2) would now be (-2,-3)). For y=-x, the place values would both switch, and now be positive.

PS;  PLATO does not have an answer this is my personal answer since I am also on this assignment.

Sorry if this response is late! Hope you did well! :)

The coordinates of the reflected images match the actual results because of the following reason.

Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane. A coordinate plane has four quadrants and two axes: the x axis (horizontal) and y axis (vertical).

Yes, because the coordinates of the other polygons will be in opposite of polygon ABCD depends on what line it reflects off .

Suppose if it reflects off of on the y-axis then the coordinates will be same, only the x- coordinate will be positive.

and if the reflection of the x-axis, the coordinate will be same only the y- coordinate will be negative and the x- coordinate remain positive.

but, For y=x it is different because now the both the x- coordinate and the y- coordinate will be switched with their sign.

Learn more about coordinate here:

https://brainly.com/question/15300200

#SPJ2

Answer: Domain: {x : 0≤ x ≤50   }

Step-by-step explanation:

Given: The total amount of money Raul will make from selling X coupon books is represented by a function.

[tex]f(x)=20x[/tex]

Here, X= Number of coupon books .

Raul has 50 coupon books to sell.

So, 0≤ x ≤50  , as it is possible that non of that book will sell.

Hence, Domain: {x : 0≤ x ≤50   }

Answer:

x= -1/2

y= 4.5

Step-by-step explanation:

4x+2y=7

3x-5y=-24

First either make the x or y's the same. It is easier here to make the y's the same.

Multiply each of the first equation by 5 and the second one by 2.

x5   4x+2=7   x5 = 20x+10y=35

x2   3x-5y=-24  x2= 6x-10y=-48

20x+10y=35

6x-10y=-48         +both equations

26x=-13

/26

x=-1/2

Now substitute to find y.

4(-1/2)+2y=7

-2+2y=7

+2

2y=9

/2

y= 4.5

Hope this helped :)

Answer:

Mark's final velocity at the end of the 8 seconds is 9.6 m/s

Step-by-step explanation:

The acceleration of mark after the light turns green, a = 1.8 m/s²

The time duration of the motion with the 1.8 m/s² acceleration,  t = 8 seconds

Mark's final velocity at the end of the 8 seconds, v is found using the equation of motion for velocity as follows;

v = u + a × t

Where;

u = The initial velocity = 0 m/s

a = The acceleration = 1.8 m/s²

t = The time in motion = 8 seconds

Substituting gives;

v = 0 + 1.2 × 8 = 9.6

Mark's final velocity at the end of the 8 seconds, v = 9.6 m/s.

Final velocity after 8 second is 64 m/s

Given:

Acceleration of mark = 8 m/s²

Time taken = 8 second

Find:

Final velocity of mark

Computation:

v = u + at

v = 0 + (8)(8)

v = 64 m/s

Final velocity of mark = 64 m/s

Find out more information about 'Acceleration.'

https://brainly.com/question/2437624?referrer=searchResults

Answer:

m of 2=36

Step-by-step explanation:

You see that square box at the bottom of the angle? That means that both angles are equal to 90 degrees. so if you have the measure of 1 which is 54 you can set up a simple equation and solve it

90=54 + x    which would equal 36

hope this helps :)

Answer:

48 onces

Step-by-step explanation:

Answer:

48 ounces.

Step-by-step explanation:

Answer:

16.81

Step-by-step explanation:

4.1x4.1=16.81

Answer:

−987889880538

Step-by-step explanation:

Answer:

-987889880538

Step-by-step explanation:

ez

Answer:

-2

Step-by-step explanation:

6x+3y=21

Bring the equation to y=mx+c form

3y=21-6x

y=-2x+7

When comparing, m=-2

Slope m=-2