Jay's father is twice as old as Jay. In 20 years Jay will be two thirds as old as his father. How old is each now? Show your solution.

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Answer 1

Answer: Jays father could be 40 while Jay is 20, because in twenty years Jay would be 40 and his dad 60 and 40 is two thirds of 60

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120, 160, 200 Find the gcfplease show me the work.
PLEASE HELP!!After losing 3 baseball cards, Peter gave half of his remaining cards to Bobby. If Peter gave Bobby 9 baseball cards, how many cards did Peter start with?Linear equation: 1 /2 (x - 3) = 9Bobby claims that Peter started with 21 cards. Which statements are true about verifying Bobby’s claim? Check all that apply.1. Substitute 21 for x in the original equation.2. Substitute any number for x in the original equation.3. Bobby’s claim that x = 21 is correct.4. The result of verifying Bobby’s work is 9 = 9.5. The result of verifying Bobby’s work is 21 = 21.
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Factor the polynomial.

54c3d4 + 9c4d2

Answers

$54c*3d^4+9c*4d^2$

$162cd^4+9c*4d^2$

$162cd^4+36cd^2$

Is the set of multiples of 4 closed under addition? Explain why or provide a counterexample if not.A. Yes, because the sum of any two multiples of 4 is also a multiple of 4.

B. Yes, because the sum of any two multiples of 4 is also a multiple of 8.

C. No, and a counterexample is –4 + (–8) = –12.

D. No, and a counterexample is 26 + 16 = 42.

Answers

The right answer for the question that is being asked and shown above is that: "B. Yes, because the sum of any two multiples of 4 is also a multiple of 8." the set of multiples of 4 closed under addition

Okay so I have multiple questions that I need help with so I will put them below and you will get more points! Once you know the answer put in the comments Answer one is so I no what it is answer two is etc.Question number one:
Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank)

Question 2:
Given a soda can with a volume of 21 and a diameter of 6, what is the volume of a cone that fits perfectly inside the soda can? (Hint: only enter numerals in the answer blank)

Question 3:
Given a cube with a volume of 27 cm3, what is the volume of a square pyramid that can fit perfectly inside the cube?
A)3cm3
B)6cm3
C)9cm3
D)12cm3
If you can answer all of these you will be getting 20 points only one of these you get 5 and only two of these 15 points so answer all three to get more points.

Answers

Vcylinder=hpir^2
Vcone=(1/3)hpir^2

d/2=r

so

1.
d=8
r=8/2=4
h=3r
h=3(4)
h=12
V=12*3.14*4^2
V=602.88 in^2

2. cone that fits has same base area and therefor same radius
d=6
r=6/2=3
rcone=3
find height of can
V=hpir^2
21=h*3.14*3^2
21=h*3.14*9
0.7431=h
so
cone height=0.7431
radius=3
V=(1/3)(0.7431)(3.14)(3^2)
V=7 cubic units

3.
same base
find dimentions
s=s=s
V=s^3
27=s^2
3=s
Vsquarepyramid=(1/3)hs^2
s=legnth of base
h=height
h=side
V=(1/3)(3)(3^2)
V=9
C

1. 602.88 in^2
2. 7 cubic units
3. 9cm^3, C

Skylar has a smart phone data plan that costs $50 per month that includes 7 GB of data, but will charge an extra $30 per GB over the included amount. How much would Skylar have to pay in a month where she used 5 GB over the limit? How much would Skylar have to pay in a month where she used went over by

Answers

i have concluded the answer is a

it would be 200 if she used 5 over the limit. 30 x 5 = 150 150+50=200

HELP ASAP CLICK Here !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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probability is (desired outcomes)/(total possible)

ok so 2 blue cards
5 blue cards
out of 8 total
5/8 is first
second draw is 4/7 since it has 1 less and assume that you picked a blue
5/8 times 4/7=20/56=10/28=5/14

proabtility is 5/14
the blank is 14

The tub of a washer goes into its spin cycle, starting from rest and gainiing angular speed steadily for 8.0 s when it is turning at 5.0 rev/s. At this time the person doing the laundry opens the lid and a safety switch turns off the washer. The tub smoothly slows to rest in 12.0 s. Through how many revolutions does the tub turn whil it is in motion.

Answers

Angular acceleration is change of angular velocity over time:
α = 5 / 8 = 0.625 rev / s²
Number of revolutions of the 1st part:
α · t² /2 = 0.625 * 8² / 2 = 20 rev.
The 2nd part:
α = 5/12 = 0.41667 rev/s²
5 * 12 - ( 0.41667 * 12² / 2 ) = 60 - 30 = 30 rev.
In total: 20 + 30 = 50 revolutions

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