A dinner check is to be split among 3 people. Greg’s portion of the check is twice Kelly’s. Joe’s portion is $1.50 less than 4 times Kelly’s. If the total bill is $114.00, how much does each person owe?

Answer:

The right answer is B.

Step-by-step explanation:

because u are solving for y which makes u subtract.

Answer:

100

Step-by-step explanation:

480/4.8=100

4.8x100=480

Answer:

[tex]\left (-\dfrac{4}{\sqrt{5}},\dfrac{8}{\sqrt{5}}\right )\text{ and }\left (\dfrac{4}{\sqrt{5}},-\dfrac{8}{\sqrt{5}}\right )[/tex].

Step-by-step explanation:

We need to find all the points on the curve x=4cos(t),y=4sin(t) that have the slope of 1/2.

[tex]x=4cos (t)[/tex]

[tex]\dfrac{dx}{dt}=-4sin (t)[/tex]

[tex]y=4sin (t)[/tex]

[tex]\dfrac{dy}{dt}=4cos (t)[/tex]

Now,

[tex]\dfrac{dy}{dx}=\dfrac{dy}{dt}\times \dfrac{dt}{dx}[/tex]

[tex]\dfrac{dy}{dx}=4cos (t)\times \dfrac{1}{-4sin (t)}[/tex]

[tex]\dfrac{dy}{dx}=-\cot t[/tex]

So, slope of the curve is [tex]-\cot t[/tex].

[tex]-\cot t=\dfrac{1}{2}[/tex]

[tex]-\tan t=2[/tex]

[tex]\tan t=-2[/tex]            ...(1)

Using [tex]\sec^2t=1+\tan^2t[/tex], we get

[tex]\sec^2t=1+(-2)^2[/tex]

[tex]\sec^2t=1+4[/tex]

[tex]\sec t=\pm \sqrt{5}[/tex]

[tex]\cos t=\pm \dfrac{1}{\sqrt{5}}[/tex]

Now,

[tex]\sin^2t=1-cos^2t[/tex]

[tex]\sin t=\pm \sqrt{1-\dfrac{1}{5}}[/tex]

[tex]\sin t=\pm \sqrt{\dfrac{4}{5}}[/tex]

[tex]\sin t=\pm \dfrac{2}{\sqrt{5}}[/tex]

It equation (1), tan(t) is negative. So, sin and cos have different signs.

If [tex]\sin t= \dfrac{2}{\sqrt{5}}[/tex], then [tex]\cos t=- \dfrac{1}{\sqrt{5}}[/tex].

[tex]x=4cos (t)=-\dfrac{4}{\sqrt{5}}[/tex]

[tex]y=4sin (t)=\dfrac{8}{\sqrt{5}}[/tex]

If [tex]\sin t=- \dfrac{2}{\sqrt{5}}[/tex], then [tex]\cos t= \dfrac{1}{\sqrt{5}}[/tex].

[tex]x=4cos (t)=\dfrac{4}{\sqrt{5}}[/tex]

[tex]y=4sin (t)=-\dfrac{8}{\sqrt{5}}[/tex]

Therefore, the two points are [tex]\left (-\dfrac{4}{\sqrt{5}},\dfrac{8}{\sqrt{5}}\right )\text{ and }\left (\dfrac{4}{\sqrt{5}},-\dfrac{8}{\sqrt{5}}\right )[/tex].

Answer:

a.

Step-by-step explanation:

It appears to be increasing in increments of ten

Answer: The answer is 28. Hope this helps:)

Answer:

-1

hope this helps

plz mark brainleist

Answer:

38-c

Step-by-step explanation:

We know that the answer is 38-c because any piece of candy that Hanson gives away will be subtracted from the amount that he started out with.

Answer:

The answer would be 18 years

Step-by-step explanation:

hope this helps:)

Answer:

is -5.

Step-by-step explanation:

add 2 to -7

Answer:

-5

Step-by-step explanation:

A negative minus a negative will also result in a negative. Subtracting regularly and adding a negative symbol will give you your'e answer.

Answer:

D) The slope of the line is undefined

Step-by-step explanation:

A vertical line will have an undefined slope, because it does not run horizontally.

To find the slope, you calculate it with rise over run, however, a vertical line will not run horizontally, meaning the run is 0.

And, dividing anything by 0 will get you an undefined answer.

So, D is correct. the slope of the line is undefined

Answer:

the slope of the line is undefined

Step-by-step explanation:

i just took test

Answer:

c

Step-by-step explanation:

The prime factorization of 450 is 2 × 3 × 3 × 5 × 5. Written with exponents, the answer is 2 × 32 × 52.

It expresses 450 as a product of prime factors: 450 = 2 x 3 x 3 x 5 x 5. The correct answer is option C.

Prime Factorization is defined as any number that may be expressed as a product of prime numbers that has been said to be prime factorized. Any integer with exactly two factors 1 and the number itself. is said to be a prime number.

The given number is as follows:

450

We need to write 450 as the product of its prime factors, which is 450.

⇒ 450 = 2 x 3 x 3 x 5 x 5

Hence, it expresses 450 as a product of prime factors: 450 = 2 x 3 x 3 x 5 x 5.

Therefore, the correct answer is option C.

Learn more about Prime Factorization here:

brainly.com/question/4184435

#SPJ7

Step-by-step explanation:

A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 <x ≤ 9.

Answer:

12x

Step-by-step explanation:

Answer: x = 35°

Step-by-step explanation:

Answer:

(pound-feet)

Step-by-step explanation:

Given that:

Torque = r × F

Where ; r = radius in feet ; F = force in pounds

Hence, a possible unit measure of torque using the units provided for both force and Radius will be :

r (feet) × F (pounds) = Torque (pound-feet)

Hence, the possible unit of measure of torque = (pound-feet)

Other unit measure may be :

r (metres) × F(Newton) = Torque (newton-metre)

Answer:

10 , 30 , 3

Step-by-step explanation:

Your radius: 10 is the greatest

The circumference is 30 that came from 10 x 3( diameter x radius)

and the diameter is 3 which is the smallest

Answer:

3/7

Step-by-step explanation:

3/7 5/12

36/84   35/84

Answer:

Jared worked 5.3 hours working on the Flex Line

Step-by-step explanation:

Jared spent 5 hours and 36 minutes on Flex line.

Work done is product of time taken and rate of work.

when the amount of work done is constant the more efficient a person is the lesser time it will require to complete the work this is also known as inverse proportion.

In the given question

Total hours of work done by Jared is 8 hours.

2/3rd of the time he spent on Flex line

2/3rd of 8 hours is

(2/3) × 8

= 16/3

= 5.3 hours or 5 hours and 36 minutes.                                      (3×12)

Learn more about Man Day Work here :

https://brainly.com/question/7155286

#SPJ2

Answer:

y = 1874.25

Step-by-step explanation:

2(4y - 5) = 14 983

2*4y + 2*-5 = 14983

8y - 10 = 14983

8y = 14983 + 10

8y = 14993

y = 14993/8

y = 1874.25

Answer:

Step-by-step explanation:

2(4y - 5) = 14

8y - 10 = 14

8y = 24

y = 3

Answer: 35

Please give me Brainliest

Answer:

sole it

the(<) it wants you to figure out each side and put the inequality in between what you get

Answer:

5) x=3 6) x=9 7) x=12 8) x=9

Step-by-step explanation:

Answer:

Length: 7

Width: 4

Step-by-step explanation:

We can create a system of equations for this problem, where [tex]w[/tex] is the width and [tex]l[/tex] is the length.

The perimeter of a rectangle is twice its length added to twice its width.

[tex]2l+2w=22[/tex]

The length is 3 more than the width:

[tex]l = w+3[/tex]

We can now substitute in [tex]w+3[/tex] as [tex]l[/tex] in the equation [tex]2l+2w=22[/tex].

[tex]2(w+3) + 2w = 22[/tex]

Distribute the first terms:

[tex]2w+6+2w=22[/tex]

Combine like terms:

[tex]4w+6=22[/tex]

Subtract 6 from both sides:

[tex]4w=16[/tex]

Divide both sides by 4:

[tex]w = 4[/tex]

Now we know that w = 4. We can now substitute this inside an equation to find [tex]l[/tex].

[tex]l = w+3\\\\l = 4+3\\\\l=7[/tex]

Hope this helped!

Answer:

What the other guy said XDDDDDDDDDD

Step-by-step explanation:

I'm awesome =D

Answer:

2.37

I hope this helps, also next time make sure your question makes sense

Answer:

y=-5x

Step-by-step explanation:

this is because slope intercept form is y=mx+b

if m= -5 and b=0 the answer would be

y=-5x+0

simplified it would be

y=-5x

Answer:

[tex]y = 3(x +21)[/tex]

Step-by-step explanation:

Find the inverse this equation:

[tex]f(x) = (\frac{1}{3}x) - 7[/tex]

-Take the variable [tex]y[/tex] for [tex]f(x)[/tex], because both

[tex]y = (\frac{1}{3}x) - 7[/tex]

-Switch both variable [tex]x[/tex] and [tex]y[/tex] :

[tex]y = (\frac{1}{3}x) - 7[/tex]

[tex]x = (\frac{1}{3}y) - 7[/tex]

-Solve for [tex]y[/tex] :

[tex]x = (\frac{1}{3}y) - 7[/tex]

-Switch sides:

[tex]\frac{1}{3}y - 7 = x[/tex]

-Add both side of the equation by [tex]7[/tex] :

[tex]\frac{1}{3}y - 7 + 7 = x + 7[/tex]

[tex]\frac{1}{3}y = x + 7[/tex]

-Multiply both sides by [tex]3[/tex] :

[tex]\frac{\frac{1}{3}y}{\frac{1}{3} } = \frac{x + 7}{\frac{1}{3} }[/tex]

[tex]y = \frac{x + 7}{\frac{1}{3} }[/tex]

-Divide [tex]x + 7[/tex] by multiplying by [tex]\frac{1}{3}[/tex]

[tex]y = \frac{x + 7}{\frac{1}{3} }[/tex]

[tex]y = 3(x +21)[/tex]

Therefore, the answer is [tex]y = 3(x +21)[/tex].

Answer:

Perimeter of the given triangle = [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units

Step-by-step explanation:

Perimeter of a polygon = Sum of the measures of all sides of the polygon

From the picture attached,

Perimeter of the given isosceles triangle = Measures of two equal sides + remaining side

P = [tex]2(\frac{3}{x+8})+\frac{x}{x+5}[/tex]

  = [tex]\frac{6}{(x+8)}+\frac{x}{(x+5)}[/tex]

  = [tex]\frac{6(x+5)+(x+8)}{(x+8)(x+5)}[/tex]

  = [tex]\frac{6x+30+x+8}{(x+8)(x+5)}[/tex]

  = [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units

Therefore, perimeter of the given triangle is [tex]\frac{7x+38}{(x+8)(x+5)}[/tex] units