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3 years ago

A 50% increase followed by a 33.33 percent decrease. Greater or larger that original amount?

Mathematics

2 answers:

KIM [24]3 years ago

6 0

Answer:

IT IS THE SAME AS THE ORIGINAL AMOUNT

Step-by-step explanation:

wariber [46]3 years ago

5 0

Well the answer for that question would be a greater number

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You and your friends have just measured the heights of your dogs. The heights are 600mm, 470mm, 170mm, 430mm and 300mm. Find out

Rufina [12.5K]

Answer:

To find the mean, you have to add all numbers together and divide them by the number of data points.

let me show what I mean:

The heights of the dogs are 600,470,170, 430,300.

Step-by-step explanation:

600+470+170+430+300.

1970.

Now we have to divide 1,970 by 5 ( because we are given 5 data points)

The mean is:

1970/5=394

Variance: First, arrange the data from least to greatest.

s2 = 27130

Standard Deviation: 164.71187

3 0

3 years ago

A bag contains 100 marbles which are red, green, and blue. Suppose a student randomly selects a marble without looking, records

ra1l [238]

Answer:

35 red marbles

Step-by-step explanation:

So we can put the different color marbles in a ratio. So 7:2:11. If we add all of those up we get 20. We do 100/20 to get 5. Each number in the ratio is equivalent to 5 marbles. Then we do 7*5 to get 35. We can check our work by doing, (7*5) + (2*5) + (11*5) = 100. And it does equal 100 so the answer is correct.

6 0

3 years ago

Read 2 more answers

The area of a rectangle with width x and length 6x and 6x^2. What does the coefficient 6 mean in terms of the problem?

sveta [45]

Answer:

The coefficient 6 in 6x means 6(x) or 6 multiplied by x 6 times.

Step-by-step explanation:

X could be anything, it is only holding the place of a number. The coefficient 6 before the x is a number being multiplied by the unknown variable, x. For example if x = 2 the expression would turn into 6(2) which equals 12.

Hope this helps! If you have any other questions please don't hesitate to ask me or your teacher so you can be sure to master the subject. :)

6 0

3 years ago

If it takes you 40 minutes to go 20 miles downstream and then 60 minutes on the way back, what is the speed of the current?

IrinaK [193]

Answer:

Speed of Current = 5 miles per hour

Step-by-step explanation:

We know distance formula,

D = RT

Where

D is distance

R is rate

T is time

If we let speed of boat (assume) to be "x" and speed of current to be "c"

Then downstream rate is (with current) = x + c

Upstream rate is (against current) = x - c

40 mins to go 20 miles downstream, that means:

D = RT

20 = (x + c)(40)

and

60 minutes to go upstream, 20 miles, that means:

D = RT

20 = (x - c)(60)

Simplifying first equation:

40x + 40c = 20

Simplifying second equation:

60x - 60c = 20

Multiplying first equation by 60, we get:

60 * [40x + 40c = 20] = 2400x + 2400c = 1200

Multiplying second equation by 40, we get:

40 * [60x - 60c = 20] = 2400x - 2400c = 800

Now we add up both these equations:

2400x + 2400c = 1200

2400x - 2400c = 800

----------------------------------

4800x = 2000

x = 2000/4800 = 5/12

We need speed of current, that is "c", so we plug in the value of x into first equation and solve for c:

$40x + 40c = 20\\40(\frac{5}{12}) + 40c = 20\\\frac{50}{3}+40c=20\\40c=20-\frac{50}{3}\\40c=\frac{10}{3}\\c=\frac{1}{12}$

Speed of Current = 1/12 miles per minute

Since there is 60 minutes in an hours, that would be:

(1/12) * 60 = 5 miles per hour

Speed of Current = 5 miles per hour

3 0

3 years ago

1/16^3x=64^2(x+8)<br> Solve for x.

SSSSS [86.1K]

Answer:

x = -4

Step-by-step explanation:

16 = 4*4 = 4²

64 = 4 * 4* 4 = 4³

$(\dfrac{1}{16})^{3x}=64^{2*(x+8)}\\\\\\(16^{-1})^{3x}=64^{2x + 16}\\\\\\16^{-3x}=64^{2x +16}\\\\(4^{2})^{-3x}=(4^{3})^{2x+16}\\\\4^{-6x}=4^{6x +48}$

As bases are same, compare exponents

6x + 48 = -6x

Subtract 48 from both sides

6x = -6x - 48

Add '6x' to both sides

6x + 6x = -48

12x = -48

Divide both sides by 12

x = -48/12

x = -4

3 0

2 years ago