A wheel 4 ft. in diameter makes x revolutions. Find x, given that the distance traveled by a point on the circumference of the wheel is 23169 ft. Round your answer to the nearest whole number.

Answers

Answer 1
Answer: The circumference of the wheel = (pi) * (diameter) = 4pi feet.

23,169 = X * 4pi

X = 23,169 / 4pi = 1,843.73 revolutions

1,844 when rounded to the nearest whole number.

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Phil made 50 ounces of purple dye by mixing a solution consisting of 15% blue dye and 85% red dye. How many ounces of red dye did he use in the process?

Answers

In accordance with given data correct answer is

RD=  85% * 50 = 0.85 * 50 = 42.5 ounces of red dye.

Good luck!!!

Final answer:

Phil used 42.5 ounces of red dye in the process of making 50 ounces of purple dye, given that the mixture was 85% red dye.

Explanation:

The question is asking us to determine how many ounces of red dye was used in the mixing process to produce 50 ounces of purple dye. Phil used a solution of 15% blue dye and 85% red dye. Therefore, the amount of red dye used can be computed by taking 85% of the total amount of dye made, which is 50 ounces.

To do this, we multiply the total ounces of dye (50 ounces) by the percentage of red dye (85%) used in the mixture. Mathematically, this is represented by the equation: (85/100) * 50.

Therefore, Phil used 42.5 ounces of red dye in the mixing process to make the purple dye.

Learn more about Percentage Calculation here:

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15x - 12y =13
30x +9y =4
whats the value of x

Answers

\left \{ {{15x-12y=13\ \ | multiply\ by\ -2} \atop {30x+9y=4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }} \right. \n\n \left \{ {{-30x+24y=-26} \atop {30x+9y=4}} \right.\naddition\ method\n\n33y=-22\ \ \ \ | divide\ by\ 33\n\ny=-(22)/(33)\n\n15x=13+12y\n\nx=(13+12y)/(15)=(13+12*(-(22)/(33)))/(15)=(13-(264)/(33))/(15)=(13-8)/(15)=(1)/(3)\n\nSolution \ is\ x=(1)/(3).
so assuming that x and y are the same value in both equations we can make the first equation negative (multiply the whole thing by -1) and get

-15x+12y=-13
we multiply it by 2 and get
-30x+24y=-26
we add this to the second equation
(30x+9y=4)+(-30x+24y=-26)
30x-30x+24y+9y=-22
or 33y=-22
divide both sides by 11
3y=-2
divide both sides by 3
y=-2/3

we subtitute it into the first equation
15x-12(-2/3)=13
15x-(-24/3)=13
15x+8=13
subtract 8 from both sides
15x=5
divide both sides by 5
3x=1
divide both sides by 3
x=1/3

so x=1/3
y=-2/3

A shoe store is having a sale where every pair of shoes cost $15. If you buy more than five pairs, you get a 10℅ discount. How much will it cost for seven pairs of shoes? is A. $70 B. $88.25 C. 94.50 D. $105

Answers

The answer is 94.50 so C. I hope this helped. :)

A store is offering a 20% discount on all sales over $50. If you purchase a shirt and a pair of jeans for $62.50, what is the amount of the discount you would receive?A. $10.00
B. $50.00
C. $15.63
D. $12.50

Answers

Discount = 20% of the product price
Discount = 20/100 × $62.50
Discount = $12.5

The store is offering a 20% discount on all sales over $50. If you purchase a shirt and a pair of jeans for $62.50, the amount of the discount you would receive is $12.50 , 62.50* 20% = 62.50*0.20 = $12.50


Can anyone help me?

Answers

y = √(-x + 3)
Domain: x ≤ 3

y = √(3x)
Domain: x ≥ 0

Write a word phrase to represent the numerical expression 5+(17-8)

Answers

There is a numerical expression:
5 + ( 17 - 8 ).
It is the sum of 5 and 17 - 8 between the parenthesis.
Mathematical phrase is:
Sum of 5 and difference of 17 and 8.