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2 years ago

10

Elena's cousins went to a restaurant. The part of the entire cost of the meal that was tax and tip together was 25% of the cost

of the food alone. What could the tax rate and tip rate be?

1 answer:

garri49 [273]2 years ago

6 0

The tax rate could be 5% as we usually pay for our tax rate in our food and 20% could be the tip rate

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valina [46]

Answer:

Step-by-step explanation:

You have 3 unknowns: a, b, and c. It's our job to find them algebraically. I'm going to start with the point where x = 0 and y = 7. You'll see why in a minute. Filling in the standard form of a quadratic

$y=ax^2+bx+c$ using (0, 7):

$7=a(0)^2+b(0)+c$ gives you that c = 7. We will use that value now when we write the next 2 equations. Now the point (-2, 19):

$19=a(-2)^2+b(-2)+7$ and

$19=4a-2b+7$ so

12 = 4a - 2b

Now for the next point (-1, 12):

$12=a(-1)^2+b(-1)+7$ and

$12=a-b+7$ so

5 = a - b

Now we have a system of equations (the 2 bold font equations) that we will solve by elimination:

12 = 4a - 2b

5 = a - b

Multiply the bottom equation by -4 to get a new system:

12 = 4a - 2b

-20 = -4a + 4b

Add those together to get rid of the a terms and end up with

-8 = 2b so

b = -4

Now we can sub in -4 for b to solve for a. I'm using the second bold type equation to do this:

5 = a - (-4) and

5 = a + 4 so

a = 1 and the equation for the quadratic function is

$y=x^2-4x+7$

7 0

3 years ago

What is the distance between the points (5.-18) and (8,

romanna [79]

Answer:

$\sqrt{10}$

Step-by-step explanation:

The horizontal distance from points (5,-18) and (8,-17) is 3 because it is 3 units from 5 to 8. The vertical distance is 1 since it is one unit from -18 to -17. Now we can use the equation $a^{2}+b^{2}=c^{2}$ where a=3 and b=1 and c is the distance that you are looking for:

$a^{2} +b^{2} =c^{2}\\3^{2} +1^{2} =c^{2}\\9+1=c^{2}\\10=c^{2}\\\sqrt{10}=c$

8 0

2 years ago

Read 2 more answers

ILL GIVE BRAINELST

murzikaleks [220]

Answer:

A = 12 ft

Step-by-step explanation:

Perimeter ( of SQUARE) B = 64

then each side = 64/4 = 16

AREA of SQUARE C = 400

side X side = 400

then side = sqrt 400

Now use Pyhtagorean Theorem to find leg of right triangle that is

side A Side B hypotenuse Side C

A^2 + 16^2 = (sqrt 400)^2

A^2 = 400 - 256

A^2 = 144 then A = 12 Ft

6 0

1 year ago

2 decreased by the sum of m and 8

Elina [12.6K]

Answer:

(m+8) - 2

Step-by-step explanation:

6 0

1 year ago

A flower pot weighing 3 newtons is sitting on a windowsill 10 meters from the ground what is its potential energy

krek1111 [17]

Answer:

30 J

Step-by-step explanation:

W = mg = 3 N

h = 10 m

Potential Energy = mgh = 3*10 = 30 J

5 0

2 years ago