Yul has lunch at a restaurant. If his bill was $14.50 and Yul wants to leave a 20% tip, what is the amount he should leave for the tip? What is the total amount for his meal plus tip?

This is a pretty mathematical question, so I will answer it in pieces as I get the time to work it out. To find the time it takes to fall, you start with Newton's second law, ma=m[d2r/dt2]=-GMm/r2=dv/dt and integrate it once to get v=dr/dt=√[2GM(R-r)/(Rr)] where, for your question, R is the distance from the center of the earth to the point from which it was dropped, r is where it is at the time t(r), G is the universal gravitation constant, and M is the mass of the earth. (The mass m of the ship does not matter.) (You can more easily get v(r) from energy conservation.) Next integrate v(r)=dr/dt to get t(r)=-2.69x105{0.5tan-1((2x-1)/(2√[x(1-x)]-√[x(1-x)]-π/4} where x=r/R; this is not a simple integral to perform, but you can find good integrators on the web, for example Wolfram Alpha. Once you have gotten the indefinite integral you are not finished, you need to find the integration constant which will put the ship at rest at x=r/R=1; that is where the π/4 comes from. Putting in your numbers, I find t=4.22x105 s=117 hr=4.89 days. The figure shows the graph of t(x).

Step-by-step explanation:

mark upper one as brainliest

Answer:

w = 68

Step-by-step explanation:

7 = w/4 - 10

~Simplify

7 = 1/4w - 10

~Add 10 to both sides

17 = 1/4w

~Multiply 4 to both sides

68 = w

Best of Luck!

Step-by-step explanation:

x=−y−2z+3

x=y+32z+1

x=13y+23z+13

Answer:

Rate of change and slope is the same since they are both terms of every rate, but rate of change can be said in any terms as in exponential and linear, etc. While slopes are only for linear equations.

Step-by-step explanation:

Hope this helps :)

Answer:

21 birds and 7 dogs

Step-by-step explanation:

Represent Birds with B and Dogs with D

[tex]B + D = 28[/tex] ----- Total Animals

A bird has 2 legs and a dog has 4, so:

[tex]2B + 4D = 70[/tex] ---- Legs

Required

Solve for D and B

Make D the subject in the first equation

[tex]D = 28 - B[/tex]

Substitute 28 - B for D in the second

[tex]2B + 4(28 - B) = 70[/tex]

[tex]2B + 112 - 4B = 70[/tex]

Collect Like Terms

[tex]2B - 4B = 70 - 112[/tex]

[tex]-2B = -42[/tex]

Solve for B

[tex]B = -42/-2[/tex]

[tex]B = 21[/tex]

Recall that: [tex]D = 28 - B[/tex]

[tex]D = 28 - 21[/tex]

[tex]D = 7[/tex]

Hence, there are 21 birds and 7 dogs

Answer:

2x^2 - 2x + 5

Step-by-step explanation:

so the south side is the bottom of the rectangle

you just add all the expressions given on the bottom which are

5x +2 , x^2 - 9 , x^2 - 7x + 12

so add 5x +2 + x^2 - 9 + x^2 - 7x + 12

add like terms and you get

2x^2 - 2x + 5

I hope that makes sense :)

Answer:

7 minutes

Step-by-step explanation:

1 kilometer / 7.2 minutes

x kilometers/ 50.4 minutes

cross-multiply

x*7.2 = 1*50.4

divide by 7.2 both sides

x= 50.4/7.2= 7 minutes

Answer:

I believe that it is the last answer. have a great day!

Answer:

F(-1) = -13

Step-by-step explanation:

If F(-1) then that means x = -1

4 times -1 is -4 and -4 plus -9 is -13

Answer: 14.7 cubic inches

Cubed root of 216 is about 14.7

Step-by-step explanation:

Hope this helps.

Given :

Hu is installing a new window in his bedroom wall. He wants to center it horizontally.

The window is 40 1/2= 81/2 inches long, and the wall is 105 1/4= 421/4 inches long.

To Find :

How far from each edge of the wall should Hu install the window.

Solution :

Remaining size,

[tex]R = \dfrac{421}{4}-\dfrac{81}{2}\\\\R = \dfrac{259}{4}\ inches[/tex]

So, distance of the window form eah edge is [tex]\dfrac{R}{2}=\dfrac{259}{8}\ inches[/tex].

Hence, this is the required solution.

Answer:

28

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The Pythagorean Theorem says [tex]a^{2} +b^{2} =c^{2}[/tex], with c being the hypothomes, which is not part of the right angle. So, when you square a and b, you get [tex]c^{2}[/tex]. To find the value of c, you find its square root.

Hope I helped!!!

Answer:

if your destination is 180 miles away and you drive 60 mph how long does the trip take? So it takes 3 hrs.

Step-by-step explanation:

Answer:

y=x+3

y=-2x+3

y=3

y=0/3x+2

Step-by-step explanation:

Answer:

-4-6=-10

Step-by-step explanation:

Hope this helps! If you have any questions comment below (^-^)

Answer:

What Are Irrational Numbers?

Real, Rational, and Irrational Numbers. By definition, a real number is irrational if it is not rational. ...

Spotting Rational and Irrationals. One nice thing about real numbers is that they all have decimal expansions.

Answer:

6x-2

Step-by-step explanation:

the side lengths are x+2, x+2, 2x-3 and 2x-3

(the other two are the same as the ones shown because it's a rectangle)

when you combine like terms you get 2x+4 and 4x-6

combine like terms again and you get 6x-2

hope this helps :)

Answer:      4√5

Step-by-step explanation:

Answer: 4/5

Step-by-step explanation:

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[tex]2 \times \frac{1}{2} hour = 1hour \\ [/tex]

[tex]2 \times \frac{3}{4} mile = \frac{6}{4} mile = \frac{3}{2} miles \\ [/tex]

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Answer:

1.50 miles or 1 and 1/2

Step-by-step explanation:

Answer:

x=5

Step-by-step explanation:

Good luck

Answer:

-6

Step-by-step explanation:

let equation of the line be y = mx + c

sub (4, -3)

-3 = 1/2(4) + c

c = -5

sub (-2, y)

y = 1/2(-2) - 5

y = -6

Answer:

9

Step-by-step explanation:

= x + 16° + x + 3° =5x - 8°[ Sum of two interior angles is equal to the exterior angle]

or, 2x + 19 = 5x - 8

or, 19 + 8 = 5x - 2x

or, 27 = 3x

or, x = 27/3

☆ x= 9

Answer:

y=35x

Step-by-step explanation:

...................

I need points but Y=34x

Answer:

B!

Step-by-step explanation:

I took the test and this was correct :)

Answer:

Mona will save a total of $7 by going to Carpet World.

Step-by-step explanation:

First, we need to calculate the total area of the floor by multiplying the width by the length...

5m * 8m = 40m

Now we calculate the amount that it would cost to buy the carpet from each of the establishments. For the first establishment, we can buy 16[tex]m^{2}[/tex] and get the next 8[tex]m^{2}[/tex] half off and that would leave another 16[tex]m^{2}[/tex] at full price. The second establishment we have a 5% off (0.95 of official price) for every 8[tex]m^{2}[/tex], since out total area is 5 times this amount then our total will have a 5% off.

Establishment 1:  (16[tex]m^{2}[/tex] * 2.20) + (8[tex]m^{2}[/tex] * 1.10) + (16[tex]m^{2}[/tex] * 2.20) = $79.20

Establishment 2: (40[tex]m^{2}[/tex] * 1.90) * 0.95 = $72.20

Difference:  79.20 - 72.20 = $7

Mona will save a total of $7 by going to Carpet World.

Answer:

£14.70

Saw it on hegarty maths