John has 12 marbles of different colors, including one red, one green, and one blue marble. in how many ways can he choose 4 marbles, if exactly one of the chosen marbles is red, green, or blue?

Answers

Answer 1
Answer: 3 ways (uncertain)
1 red or blue or green + 3 other colours
Answer 2
Answer:

Answer:

252

Step-by-step explanation:

AoPs


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What value of x makes the equation true? PLZ HELP RIGHT THANK YOU–7.12 = –4.8 + xA.–11.92B.–11.2C.–2.32D.2.32

What is 8^3 * 7^-3 simplified?

Answers

Answer:

Exact form: (512)/(343)\n

Decimal Form:1.4927

Mixed Number Form: 1 (169)/(343)

Brainliest please

Solve for x: 25x2 − 36 = 0

Answers

25x^2-36 = 0 \n\n(5x)^2-6^2=0\n \n(5x-6)(5x+6)=0\n \n5x-6=0 \ \ or \ \ 5x+6=0\n \n5x=6 \ \ or \ \ x=-6\n \nx=(6)/(5) \ \ or \ \ x=-(6)/(5) \n \n \n a^2-b^2 =(a-b)(a+b)
25x^2-36=0

25x^2=36

x^2=(36)/(25)

x=\sqrt{(36)/(25)}  or  x=-\sqrt{(36)/(25)}

x=(√(36))/(√(25))  or   x=-(√(36))/(√(25))

x=(6)/(5) or x=-(6)/(5)

x=1(1)/(5) or x=-1(1)/(5)

The yearly cost in dollars y for a memever at a video game arcade based on total game tokens purchased x is y=1/10x+60. A nonmember pays 0.20$ per game token but no yearly fee

Answers

Answer:

1/5x

Step-by-step explanation:

Got it right on Edge

The yearly cost in dollars, y, for a member at a video game arcade based on total game tokens purchased, x, is y =x + 60.

The relationship between women's whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of a n. A women's size 7 fits a foot 9 1/3 inches long, ands women's size 12 fits a foot 11 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary. an=-17.91 +2.99(n-1), an=-5+2.99(n-1), an=7+0.33(n-1) , an=7.35+ 0.33(n-1)

Answers

Answer:

an=7.35+ 0.33(n-1)

Step-by-step explanation:

The relationship between women's whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of  n.

We are given values for n=7 and n=12 as a7=9.33 and a12=11

So, we proceed from the options and check which an satisfies these values:

an = 7.35 + 0.33(n-1)

when n = 7:

an = 7.35 + 0.33 (7-1)

an = 9.33

when n = 12:

an = 7.35 + 0.33 (12-1)

an = 10.98≈11

Hence, correct option is:

an=7.35+ 0.33(n-1)

Answer:

D

Step-by-step explanation:

At Noise Pollution Cellular, plan A is $30.00 per month and $5.00 for every gigabyte of data. Plan B is $50.00 per month and $2.00 for every gigabyte of data used. Irfan wants to find out which plan is the best choice for him. On average, he uses five to eight GB of data per month.How much data would Irfan need to use for both plans to cost the same?

Answers

Answer:

Part 1) The best choice is Plan A

Part 2) The data is 6(2)/(3)\ GB

Step-by-step explanation:

Part 1)

Let

y ----> the cost per month

x ----> the number of GB of data per month

we know that

Plan A

y=5x+30

Plan B

y=2x+50

Find out which plan is the best choice if he uses five to eight GB of data per month

Plan A

For x=5 GB -----> y=5(5)+30=$55

For x=8 GB -----> y=5(8)+30=$70

so

with Plan A the cost is between $55 and $70 -----> average $62.5

Plan B

For x=5 GB -----> y=2(5)+50=$60

For x=8 GB -----> y=2(8)+50=$66

so

with Plan B the cost is between $60 and $66 ----> average $63

therefore

The best choice is Plan A

Part 2) How much data would Irfan need to use for both plans to cost the same?

we have

y=5x+30 ----> equation A

y=2x+50 ----> equation B

Solve the system of equations by elimination

Subtract equation B from equation A

0=5x-2x+30-50

0=3x-20

3x=20

x=(20)/(3)\ GB

Convert to mixed number

x=6(2)/(3)\ GB ----> for this data the cost is the same in both plans

What is an expression for 43 more than t

Answers

43 more than t

t + 43
43 more than t = Variable + 43 

t+43