The quotient property of radicals requires the indices of the radicals to be the same.
Does this mean that it is not possible to write
the ((4th root of y^3)/(square root of y)) as a single radical? Explain.

The diameter of circle is 1.018 mm.

Step-by-step explanation:

Given,

Circumference of circle = 3.2 mm

We know that;

Circumference = 2πr

[tex]3.2=2\pi r\\[/tex]

Putting π=22/7

[tex]3.2=2*\frac{22}{7}*r\\3.2=\frac{44}{7}r[/tex]

Multiplying both sides by 7/44

[tex]\frac{7}{44}*3.2=\frac{7}{44}*\frac{44}{7}r\\\\\frac{22.4}{44}=r\\\\r=0.509[/tex]

Diameter = 2r

Diameter = 2*0.509

Diameter = 1.018 mm

The diameter of circle is 1.018 mm.

Keywords: circle, circumference

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Answer:

Please see the answer below:

Step-by-step explanation:

1. Loss 5%

Cost = Rs.320

Loss % = 5% = 0.05

Sale Price = Rs.320 - (Rs.320 x 0.05) = Rs.320 - Rs.16 = Rs.304

2. Profit 20%

Cost = Rs.320

Profit % = 20% = 0.20

Sale Price = Rs.320 + (Rs.320 x 0.2) = Rs.320 + Rs.64 = Rs.384

3. Sold for Rs.360

Cost = Rs.320

Sale Price = Rs.360

Gain % = (Rs.360 - Rs.320) / Rs.320 = Rs.40 / Rs.320 = 0.125

or

Gain % = 12.5%

Answer:

If sold at a loss of 5%, the selling price would be Rupee 304

If sold at a Profit of 20% the selling price would be Rupee 384

Step-by-step explanation:

Cost of shoes                                  =   Rupees 320

Loss incurred  (5% x 320)               =   Rupees   16

Price of shoe                                   = (320 - 16)  = 304  

The selling price if sold at a loss of 5% would be Rupees 304

IF SOLD AT A PROFIT OF 20%

Cost of shoes                                  =   Rupees 320

Loss incurred  (20% x 320)               =   Rupees   64

Price of shoe                                   = (320 + 64)  = 384  

The selling price if sold at a loss of 5% would be Rupees 384

Answer:

x=18

Step-by-step explanation:

12-2/3x=x-18

12-2/3x-x=-18

12-2/3x-3/3x=-18

12-5/3x=-18

5/3x=12-(-18)

5/3x=12+18

5/3x=30

x=30/(5/3)

x=(30/1)(3/5)

x=90/5

x=18

Answer:

Step-by-step explanation:

[tex]12-\dfrac{2}{3}x=x-18\qquad\text{subtract 12 from both sides}\\\\12-12-\dfrac{2}{3}x=x-18-12\\\\-\dfrac{2}{3}x=x-30\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup\cdot\left(-\dfrac{2}{3\!\!\!\!\diagup_1}x\right)=3\cdot x-3\cdot30\\\\-2x=3x-90\qquad\text{subtract}\ 3x\ \text{from both sides}\\\\-2x-3x=3x-3x-90\\\\-5x=-90\qquad\text{divide both sides by (-5)}\\\\\dfrac{-5x}{-5}=\dfrac{-90}{-5}\\\\x=18[/tex]

Answer:

y = 3x - 1

The rate of change of the function is 3.

Step-by-step explanation:

The equation of the linear function through the points (- 2, - 7)and (1,2) will be given by  

[tex]\frac{y - ( - 7)}{- 7 - 2} = \frac{x - (- 2)}{- 2 - 1}[/tex]

⇒ (y + 7) = 3(x + 2)

⇒ y = 3x - 1 (Answer)

Now, the rate of change of the function is the slope of the line i.e. 3. (Answer)

We know the equation of a straight line which passes through the points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] is given by  

[tex]\frac{y - y_{1}}{y_{1} - y_{2}} = \frac{x - x_{1}}{x_{1} - x_{2}}[/tex]

Answer:

36 hours

Step-by-step explanation:

Answer:

Step-by-step explanation:

A cyclist moving at 10 kilometers per hour is traveling at a rate of 6.25 miles per hour. Over 4 hours, the cyclist will travel a total distance of 25 miles.

To convert kilometers per hour to miles per hour, you have to divide the kilometers value by 1.6 (because it's given that 1 mile = 1.6 kilometers). So, if the cyclist is cycling at 10 kilometers per hour, this translates to 10 / 1.6 = 6.25 miles per hour.

Next, to find out how many miles the cyclist will travel in 4 hours, we'll simply multiply this rate by the time. So, 6.25 (miles per hour) * 4 (hours) = 25 miles.

Therefore, the cyclist, if maintaining a speed of 10km per hour, will travel 25 miles in a 4 hour time span.

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Answer:

Step-by-step explanation:

If 1000 divided by 40 equals 25, then you would want to stay under that.

so your next best bet is 24

then we just input our variable and sign

[tex]x \leqslant 24[/tex]

Answer:

Step-by-step explanation:

5/8*5/4=25/32

1/16*25/2=25/32

25/16*1/2=25/32

To find three different pairs of fractions that multiply to 25/32, start by factoring the numerator and denominator. Then pair up the factors to form fractions.

To find three different pairs of fractions that multiply to 25/32, we can start by factoring the numerator and denominator of 25/32. 25 can be factored as 5 * 5 and 32 can be factored as 2 * 2 * 2 * 2 * 2. We can then pair up the factors to form fractions:

So, three different pairs of fractions that multiply to 25/32 are 5/2 * 5/2 = 25/4, 5/2 * 5/32 = 25/64, and 5/2 * 1/4 = 5/8.

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Answer:

180=2^2×3^2×5

Step-by-step explanation:

We have to obtain the factors of 180 which are prime numbers

A prime number being a number with only 2 factors.That is 1 and the number itself.

For example 5 only has 2 factors 1 and 5⇒5=1×5

Here are the first few prime numbers

2,3,5,7,11,13,.....

A number which is not prime is a composite number. Composite numbers have more than 2 factors. All composite numbers can be expressed as a product of prime factors.

Answer:

5 x 2 x 2 x 3 x 3

Step-by-step explanation:

I basically did the prime factors of 18 which is  1, 2, 3, 6, 9, 18.  I broke it down elminated any other numbers not referring to the prime factor. Thats how you get your answer sorry if it's not a good explantion

Answer:

[tex]AB=5\sqrt{15}\ units[/tex]

Step-by-step explanation:

we know that

In the right triangle ABC

we have

[tex]AC=20\ units[/tex] ----> is the hypotenuse

[tex]BC=5\ units[/tex] ----> is a leg

[tex]AB=?\ units[/tex] ----> is a leg

see the attached figure to better understand the problem

Applying the Pythagorean Theorem

[tex]AC^2=AB^2+BC^2[/tex]

substitute the given values

[tex]20^2=AB^2+5^2[/tex]

solve for AB

[tex]AB^2=20^2-5^2[/tex]

[tex]AB^2=375[/tex]

[tex]AB=\sqrt{375}\ units[/tex]

simplify

we know that

[tex]375=(25)(15)=5^2(15)[/tex]

substitute

[tex]AB=\sqrt{5^2(15)}\ units[/tex]

[tex]AB=5\sqrt{15}\ units[/tex]

Answer:

The ordered pairs of A and C are not functions

Step-by-step explanation:

To determine if the ordered pairs are a function you look at the x values to see if they repeat. You don't want one input(x values) to lead to two outputs(y values). This would mean that you are never sure which output you will get.

In the answer A the x value "2" repeats, in the answer C the x value "1" repeats thus not making them functions.

Good evening ,

Answer:

(C) 36

Step-by-step explanation:

The length of the continuous solid path from P To Q = 3×(Length of the dashed line) = 3×(12) = 36 in.

:)

=========================================

Explanation:

Check out the attached image below. Basically I drew out the given diagram and then I added the variables a,b,c,d,e,f,g. Those variables represent the side lengths of the 7 squares. Each square has a perimeter of 4*s where s is the side length, but we dont consider the side that is running along the dashed line (that connects P directly to Q). So we have 3 sides per square added up.

The first square has us travel a distance of 3*a, then the second square a distance of 3*b and so on. Overall, the total distance traveled is

3a+3b+3c+3d+3e+3f+3g = 3(a+b+c+d+e+f+g)

The goal is to figure out what a+b+c+d+e+f+g is equal to. This is equal to the length of segment PQ since the 7 letters are pieces of segment PQ (i.e., I'm using the segment addition postulate).

In other words,

a+b+c+d+e+f+g = 12

3(a+b+c+d+e+f+g) = 3*12

3(a+b+c+d+e+f+g) = 36

Total distance traveled = 36

3 cups + the original 6 = 9 cups.

Answer:

The answer is 9 cups of water

Step-by-step explanation:

｡☆✼★ ━━━━━━━━━━━━━━  ☾

3 x 4 = 12

5 x 4 = 20

2 x 4 = 8

6 x 4 = 24

12 + 20 + 8 + 24 = 64

She has 64 marbles  

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Answer:

Options A and D are correct.

Step-by-step explanation:

The cost y (in dollars) for x ounces of peanuts is represented by the equation

[tex]y=0.23x[/tex]            .... (1)

It means the cost of each ounce of peanuts is $0.23.

The cost y (in dollars) for x ounces of pecans is represented by the equation

[tex]y=0.45x[/tex]            .... (2)

It means the cost of each ounce of pecans is $0.45.

$0.45 > $0.23

It means the cost for pecans is greater than the cost of peanuts. Option B is incorrect.

[tex]\$0.45-\ $0.23=\$0.22[/tex]

The cost for peanuts is $0.22 per ounce less than the cost for pecans. Option A is correct.

Substitute x=8 in equation (1).

[tex]y=0.23(8)=1.84[/tex]

The cost for 8 ounces of peanuts is $1.84. Option C is incorrect.

Substitute x=8 in equation (2).

[tex]y=0.45(8)=3.6[/tex]

he cost for 8 ounces of pecans is $3.60.. Option D is correct.

Answer:

72

Step-by-step explanation:

If you move the decimal point 3 times, you get 72!

Answer:

72. the decimal point will move. (promise not copying) (the other person can get the credit though)

Step-by-step explanation:

Answer:

3* 10⁵

Step-by-step explanation:

6* 10⁸ / 2 * 10³ = 3 * 10⁸⁻³ = 3* 10⁵

Answer:

190% I believe, I hope this helped!

Step-by-step explanation:

Answer:

r = 0.055555.....

Step-by-step explanation:

3(1+6r)=14-12        Write out formula.

3+18r=2                Distributive Property Form.

(3-3)+18r=2-3        Subtract 3 to both sides.

(18/18)r=-1/18         Divide both sides by 18

r=0.055555..... or -1/18.                    

Answer:

B

Step-by-step explanation:

GIven that the lightest is 1.4 and the heaviest is 1.6, this implies that ALL the fruit must weigh between 1.4 and 1.6.

This also implies that the average weight of the fruit must also be between 1.4 lb and 1.6 lb.

recall that : average weight = total weight / number of fruit

we are given than total weight = 25.29 lb, so

average weight = 25.29 / number of fruit

Just go down the choices and test which choice gives an average weight between 1.4 and 1.6 lbs.

Choice A: number of fruit = 19

average = 25.29 / 19 = 1.33  (outside of range, not the answer)

Choice B: number of fruit = 17

average = 25.29 / 17 =1.49   (within range , possible answer)

Choice C: number of fruit = 10

average = 25.29 / 10 = 2.529 (outside of range, not the answer)

Choice D: number of fruit = 50

average = 25.29 / 50 = 0.5058  (outside of range, not the answer)

From the above, we can see that only B gives an average between 1.4 and 1.6 lb.

Answer:

B

Step-by-step explanation:

GIven that the lightest is 1.4 and the heaviest is 1.6, this implies that ALL the fruit must weigh between 1.4 and 1.6.

This also implies that the average weight of the fruit must also be between 1.4 lb and 1.6 lb.

recall that : average weight = total weight / number of fruit

we are given than total weight = 25.29 lb, so

average weight = 25.29 / number of fruit

Just go down the choices and test which choice gives an average weight between 1.4 and 1.6 lbs.

Choice A: number of fruit = 19

average = 25.29 / 19 = 1.33 (outside of range, not the answer)

Choice B: number of fruit = 17

average = 25.29 / 17 =1.49 (within range , possible answer)

Choice C: number of fruit = 10

average = 25.29 / 10 = 2.529 (outside of range, not the answer)

Choice D: number of fruit = 50

average = 25.29 / 50 = 0.5058 (outside of range, not the answer)

From the above, we can see that only B gives an average between 1.4 and 1.6 lb.

Answer:

150

Step-by-step explanation:

60 minutes in 1 hour

3x10= 30 in one hour

30x5=150 30 trucks in 5 hours

Tarzan can load 150 trucks in 5 hours.

To calculate how many trucks Tarzan can load in 5 hours based on the rate that he loaded 3 trucks in 6 minutes. First, we convert 5 hours into minutes to match the units of the given rate. There are 60 minutes in 1 hour, so 5 hours is 300 minutes (5 hours x 60 minutes/hour). Next, we need to find out how many 6-minute intervals there are in 300 minutes, which is 300 minutes / 6 minutes/intervals = 50 intervals. Since Tarzan loads 3 trucks per interval, we multiply the number of intervals by the number of trucks per interval to get the total number of trucks loaded in 5 hours: 50 intervals x 3 trucks/interval = 150 trucks.

Answer:

339 R11

Step-by-step explanation:

8,147 ÷ 24 = 339 R11

Answer:

Hope I helped!

Step-by-step explanation:

To construct a parallel line, set the compass to the same opening used for the first arc and draw an arc from point G that intersects line GD. This creates a parallel line to line EF through G.

To construct a line parallel to EF through point G, Francis should set the compass point on G and adjust the compass to the same opening that was used to construct the first arc. He then needs to create an arc that intersects GD on the opposite side of point A and extends to the right of point G. This step ensures that the line through G will have the same angle with GD as EF does with GD, allowing it to be parallel to EF.

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Answer: 13

Step-by-step explanation:

x = 5

-5 (5) + 12

-25 + 12

-13

abs(-13) = 13

To find absolute value, solve the equation as is and then make the answer positive.  

Answer:

negative 6 is the answer

Step-by-step explanation:

Answer:

C. $792.00

Step-by-step explanation:

33 hours Fred can serve 33 x 6 = 198 tables

minimum gratuity : 3.08 x 198 = 609.8

maximum : 5.23 x 198 = 1035.5

Therefore $792.00 is a reasonable amount

Answer:

Its 126 i think

Step-by-step explanation:

Answer:

C) x=126

Step-by-step explanation:

You would pay $5.54 on that item.

Step-by-step explanation:

Given,

Cost of item = $63

Sales tax rate = 8.8%

Amount of sales tax = 8.8% of cost of item

Amount of sales tax = [tex]\frac{8.8}{100}*63[/tex]

Amount of sales tax = [tex]\frac{554.4}{100}[/tex]

Amount of sales tax = $5.54

You would pay $5.54 on that item.

Keywords: percentage, division

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in this way ,u can do other as well with the help of protractor...