21.12 is 25.6% of what number

Answers

Answer 1
Answer: the answer is 82.5 and that's all
Answer 2
Answer:

Final answer:

The number that 21.12 constitutes 25.6% of is calculated using the formula for percentage. Rearranging the formula to find the Whole and substituting the given values in, we find that 21.12 is 25.6% of 82.5.

Explanation:

The question 21.12 is 25.6% of what number falls under the topic of Calculating Percents in Mathematics. To calculate this, use the formula for percentage which is:

(Part/Whole) = Percentage

In this case, the part is 21.12 and the percentage is 25.6%. The question is asking for the Whole number. We can rearrange the formula to find the Whole:

Whole = Part/Percentage  

Substitute the given values into the formula:

Whole = 21.12/0.256 = 82.5

Therefore, 21.12 is 25.6% of 82.5.

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A railroad crew can lay 5 miles of track each day. They need to lay 135 miles of track.The length, L (in miles), that is left to lay after d days is given by the following function L(d) = 135 - 5d how many miles of track does the crew have left to lay after 17 days?
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Which algebraic expression is equivalent to this expression?3(2x − 8) – 11x

A.
-5x – 8
B.
-17x – 24
C.
-17x – 24
D.
-5x – 24

Answers

Answer:

the answer is d

Step-by-step explanation:

Answer:

\huge\boxed{D.\ -5x-24}

Step-by-step explanation:

3(2x-8)-11x\qquad|\text{use the distributive property}\ a(b+c)=ab+ac\n\n=(3)(2x)+(3)(-8)-11x=6x-24-11x\qquad|\text{combine like terms}\n\n=(6x-11x)-24=-5x-24

Why is " 3 meals a day" a unit rate​

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Answer:

its a unit rate because it compares 3 meals to 1 day (ex. breakfast, lunch, dinner all = 1 day)

Step-by-step explanation:

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When navigating the maze, the robot will only need to go north, south, east, and west. It can be useful to use the complex plane to represent these directions. When using the complex plane this way, we use numbers such that their magnitude is equal to 1. If we let the value i represent the robot facing due north, what values represent the robot facing east, south, and west?

Answers

Answer:

East = 1

South = - i

West = -1

Step-by-step explanation:

We are given that, the robot can only go north, south, east and west.

Assuming that the north-south axis corresponds to the y-axis and west-east axis corresponds to x-axis.

Now, it is provided that the ' i ' represent that robot is facing north.

So, if the robot turns and faces south, it can be seen that he will be facing in the opposite direction of ' i '.

Since, the values on y-axis are negative in that direction.

Hence, South will be represented by ' - i ' .

Moreover, it is given that we use only the numbers whose magnitude is 1. As, west-east axis represents x-axis.

So, the value that represents East will be 1 ( as it is on the positive x-axis ).

Since, west is in the opposite direction of east.

So, West will be represented by -1.

How many ziros in the number 1.8e10?

Answers

You spelt zero wrong and theres one zero next to the 1. Comments; Report. 0 0 0. Thanks. 0. Log in to add a comment · 12ilett; Beginner

The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the area of printed material on the poster is fixed at 2400 cm2, find the dimensions of the poster with the smallest area.--------- cm (width)--------- cm (height)

Answers

Answer:

Step-by-step explanation:

let the sides be x and y

x y=2400

y=(2400)/(x)\nnew~ dimensions ~are ~x+30~and~y+20\narea~A=(x+30)(y+20)\n=xy+20x+30y+600\n=2400+600+20x+30*(2400)/(x)\n=3000+20x+(72000)/(x)\n(dA)/(dx)=20-(72000)/(x^2)\n(dA)/(dx)=0~gives\n20 x^2=72000\nx^2=3600\nx=√(3600) =60\n(d^2A)/(dx^2)=(144000)/(x^3)>0~at ~x=60\ny=(2400)/(60)=40\n

so A is minimum when x=60

y=40 cm

so dimensions are 60+30=90 cm

and 40+20=60 cm

Final answer:

The dimensions of the poster that provide the smallest total area, while maintaining a fixed printed area of 2400 cm², are 80 cm in width and 70 cm in height. This is obtained by applying calculus to optimize the area function of the poster.

Explanation:

The subject of this question is related to optimizing the area of a rectangular poster by adjusting its dimensions. Given that the area of printed material is fixed at 2400 cm², let's denote the width of the printed area as x (in cm) and so its height will be 2400/x (in cm).

Therefore, the total area of the poster, including margins, would be (x+20)(2400/x + 30). We want to minimize this area. This is a calculus problem - take the derivative of the area with respect to x, set it equal to zero and solve for x. You'll obtain two possible dimensions for the width of the printed area: 40 cm and 60 cm. By testing these in the second derivative, you'll find that a width of 60 cm gives the minimum area. Therefore, the dimensions of the poster that gives the smallest total area are 60+20=80 cm (width) and 2400/60+30=70 cm (height).

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Joan’s father is 38 years old today. How many days old is he?

Answers

Answer: 13,879 days

If Joan's father is 38 years old today, that means that he was born in 1982. (2020-38=1982).

If we multiply 38 years by 365 days per year, we get 13,870 days.

But we need to take into account leap years, which happen every 4 years! In a leap year, there's an extra day in February. There have been 9 leap years since Joan's father was born.

So, we add 9 days to 13870 days, to get: 13,879 days.

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Final answer:

Joan's father, who is 38 years old, would be 13,870 days old. This is calculated by multiplying 38 years by 365 days/year.

Explanation:

To calculate how many days old Joan's father is, you simply need to multiply his age in years by the number of days in a year. Since we typically consider a year to have 365 days, the calculation is as follows: 38 years * 365 days/year. The answer, therefore, is 13,870 days. The main concept here is the conversion of units, in this case converting years to days. Remember to always consider the number of units in one when converting.

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