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3 years ago

After all costs are split evenly, how much does Max owe Becky? Help please tysm!

Mathematics

2 answers:

raketka [301]3 years ago

8 0

The question is Max owes Becky for the movie how much.. the pizza information is a distractor.

Max has a coupon for 1/2 off a third movie ticket when 2 are purchased for regular price of $9.80

2 x (9.80) + 1/2 x (9.80) = 19.60 + 4.90 = $24.50 total all 3 tickets

Since they agree to split the cost equally, divide total cost by 3
24.50 / 3 = $8.16 each

The answer is: Between $8 and $10

slega [8]3 years ago

4 0

IF UR BLIND AND DIDN'T SEE HER'S THEN HERE IT IS (ALSO WITH CORRECTED GRAMMAR

The question is Max owes Becky for the movie how much... the pizza information is a distractor.

Max has a coupon for 1/2 of a third movie ticket when 2 are purchased for a regular price of $9.80

2 x (9.80) + 1/2 x (9.80) = 19.60 + 4.90 = $24.50 total all 3 tickets

Since they agree to split the cost equally, divide the total cost by 3

24.50 / 3 = $8.16 each

The answer is: Between $8 and $10

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1.) Find the length of the arc of the graph x^4 = y^6 from x = 1 to x = 8.

xxTIMURxx [149]

First, rewrite the equation so that y is a function of x :

$x^4 = y^6 \implies \left(x^4\right)^{1/6} = \left(y^6\right)^{1/6} \implies x^{4/6} = y^{6/6} \implies y = x^{2/3}$

(If you were to plot the actual curve, you would have both $y=x^{2/3}$ and $y=-x^{2/3}$ , but one curve is a reflection of the other, so the arc length for 1 ≤ x ≤ 8 would be the same on both curves. It doesn't matter which "half-curve" you choose to work with.)

The arc length is then given by the definite integral,

$\displaystyle \int_1^8 \sqrt{1 + \left(\frac{\mathrm dy}{\mathrm dx}\right)^2}\,\mathrm dx$

We have

$y = x^{2/3} \implies \dfrac{\mathrm dy}{\mathrm dx} = \dfrac23x^{-1/3} \implies \left(\dfrac{\mathrm dy}{\mathrm dx}\right)^2 = \dfrac49x^{-2/3}$

Then in the integral,

$\displaystyle \int_1^8 \sqrt{1 + \frac49x^{-2/3}}\,\mathrm dx = \int_1^8 \sqrt{\frac49x^{-2/3}}\sqrt{\frac94x^{2/3}+1}\,\mathrm dx = \int_1^8 \frac23x^{-1/3} \sqrt{\frac94x^{2/3}+1}\,\mathrm dx$

Substitute

$u = \dfrac94x^{2/3}+1 \text{ and } \mathrm du = \dfrac{18}{12}x^{-1/3}\,\mathrm dx = \dfrac32x^{-1/3}\,\mathrm dx$

This transforms the integral to

$\displaystyle \frac49 \int_{13/4}^{10} \sqrt{u}\,\mathrm du$

and computing it is trivial:

$\displaystyle \frac49 \int_{13/4}^{10} u^{1/2} \,\mathrm du = \frac49\cdot\frac23 u^{3/2}\bigg|_{13/4}^{10} = \frac8{27} \left(10^{3/2} - \left(\frac{13}4\right)^{3/2}\right)$

We can simplify this further to

$\displaystyle \frac8{27} \left(10\sqrt{10} - \frac{13\sqrt{13}}8\right) = \boxed{\frac{80\sqrt{10}-13\sqrt{13}}{27}}$

7 0

3 years ago

Identify the slope and y-intercept of the function y=-11x+6

ASHA 777 [7]

Answer:

the slope is 11 and the y intercept is 6

y = mx + b

m= 11

b= 6

7 0

2 years ago

What’s the answer?!!!!

mel-nik [20]

Answer: YES

Step-by-step explanation:

Concept

In a right triangle, the square of both legs is equal to the length of hypotenuse squared. This is the Pythagorean theorem: a²+b²=c². For more graphical explanation, please refer to the attachment below.

Given

Leg a = 36 in

Leg b = 48 in

Hypotenuse c = 60 in

Solve

a² + b² = c²

(36)² + (48)² = 3600

(60)² = 3600

3600 = 3600

Therefore, the answer is YES

Hope this helps!! :)

Please let me know if you have any questions

6 0

3 years ago

Roulette is a casino game that involves spinning a ball on a wheel that is marked with numbered squares that are red, black, or

EleoNora [17]

Answer:

18/38 or 9/19

Step-by-step explanation:

18 squares are red

18 squares are black

2 squares have 0 or 00

5 0

2 years ago

Simplify: (3)+(-4) O A. -7 OB. 1 O c. 1 OD. 7

Lady bird [3.3K]

Answer:

-1

Step-by-step explanation:

(3) + (-4) =

4-3= -1

8 0

3 years ago

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