Vita has a pice of rope that is 5 meters long. She cuts the rope into pieces that are each 1/3 meter long. How many pieces does she cut?

QUESTION POSTED AT 15/01/2020 - 03:10 AM

Answered by admin AT 15/01/2020 - 03:10 AM

Normally you would divide something like this by the cuts made. So if there were cuts of 2 inches on a 10 inch rope, then you should divide 10 by 2. It's the same with this:
5/ \frac{1}{3} = 5*3, 15 \ pieces
Multiply by the reciprocal when you are dividing fractions.
Post your answer

Related questions

A child kicks a soccer ball across the ground. The ball travels 10.0 meters in 0.56 seconds. What is the speed of the ball?

Distance divide time
=10/0.56
=answer

ANSWERED AT 29/01/2020 - 05:39 PM


QUESTION POSTED AT 29/01/2020 - 05:39 PM

Scarlett is trying to find the height of a dam. She stands 90 meters away from the dam and records the angle of elevation to the top of the dam to be 26º. Scarlett's height is 1.65 meters, so what is the hight of the dam

The height of a dam:
h = x + 1.65 m,
where:
x = 90 m · tan 26°
x = 90 · 0.4877
x = 43.90
h = 43.90 m + 1.65 m = 45.55 m
Answer:
The height of the dam is 45.5 m.

ANSWERED AT 29/01/2020 - 05:23 PM


QUESTION POSTED AT 29/01/2020 - 05:23 PM

Find S15 for the geometric series 72 + 12 + 2 + 1/3 +

Hello,

u_{1}=72\\

u_{2}=\dfrac{72}{6}\\

u_{3}=\dfrac{72}{6^{2}}\\

u_{15}=\dfrac{72}{6^{14}}\\


s=72*(1+\dfrac{1}{6^{1}}+\dfrac{1}{6^{2}}+\dfrac{1}{6^{3}}++...+\dfrac{1}{6^{14}})\\
=72*(\dfrac{\frac{1}{6^{15}}-1}{\frac{1}{6}-1}})\\
=72*(\dfrac{470184984576-1}{78364164095*5})\\

=86,400...




ANSWERED AT 29/01/2020 - 05:16 PM


QUESTION POSTED AT 29/01/2020 - 05:16 PM

Heather is training for a long-distance run. her data points listed below represent the days of practice, x, and the number of miles run, y.(1, 2.5), (2, 4.2), (4, 5.6), (6, 7), (8, 8.1), (10, 11)use the equation to interpolate the value and estimate the distance that she could have run on day 3. round to the nearest tenth of a mile.

Interpolation equation
Poit 1: (a,b)
Point 2: (c,d)
Intermediate point (x,y)

(d - b)/(c - a) = (y - b) / (x - a)

(a,b) = (2, 4.2)
(c,d) = (4, 5.6)

x = 3

(5.6 - 4.2) / (4 - 2)  =  (y - 4.2) / (3 -2)

y =  [1.4/2]*[1] + 4.2

y = 0.7 + 4.2 = 4.9

Answer 4.9 miles

 




ANSWERED AT 29/01/2020 - 04:51 PM


QUESTION POSTED AT 29/01/2020 - 04:51 PM

What are the lengths of the legs of a right triangle in which one acute angle measures 19° and the hypotenuse is 15 units long? a) 9 units, 12 units b) 11 units, 10.2 units c)4.9 units, 15.8 units d)4.9 units, 14.2 units e)5.2 units, 14.1 units

The side opposite the angle 19 degrees is given by 15sin 19 = 4.9 units, while the side adjacent the angle 19 degrees is given by 15cos 19 = 14.2 units.

ANSWERED AT 29/01/2020 - 04:36 PM


QUESTION POSTED AT 29/01/2020 - 04:36 PM

A student lifts a set of books off a table and places them in the upper shelf of a book case which is 2 meters above the table. If she applies a force of 5 newtons to lift these books, what is the work done?

Work (W) is the product when we multiply the force applied (F) and the displacement (d). The displacement and the force applied should be in the same direction for the force to be done. 
                                       W = F x d
Substituting the given values,
                                        W = (5 N) x (2 m) = 10 Nm
Therefore, the work done is 10 J. 

ANSWERED AT 29/01/2020 - 04:35 PM


QUESTION POSTED AT 29/01/2020 - 04:35 PM

A blimp provides aerial television views of a football game. The television camera sights the stadium at a 7 degree angle of depression. The altitude of the blimp is 400 m. What is the line-of-sight distance from the television camera to the case of the stadium? Round to the nearest hundred meters.

Looks like sin is best here

sin (7) = opp / hyp
sin (7) = 400 / x
x sin (7) = 400
x = 400 / sin (7)

So we need to get the value of x.

x = 400 / sin (7)
x = 400 / 0.1218
x = 3284.07

Roughly, the correct answer is 3284.1 meters

ANSWERED AT 29/01/2020 - 04:32 PM


QUESTION POSTED AT 29/01/2020 - 04:32 PM

Please Help!!! I give a medal to anyone to tries!!! 3 party-goers are in the corner of the ballroom having an intense argument. You walk over to settle the debate. They are discussing a function g(x). You take out your notepad and jot down their statements. • Professor McCoy: She says that 2 is a zero of g(x) because long division with (x + 2) results in a remainder of 0. • Ms. Guerra: She says that 2 is a zero of g(x) because g(2) = 0. • Mr. Romano: He says that 2 is a zero of g(x) because synthetic division with 2 results in a remainder of 0.

Well, the way I see it is that both Mr. Romano, and Ms. Guerra are correct but Professor McCoy is incorrect because he said (x+2) when it should be (x-2).


The factor theorem states that:
If f(a)=0, then (x-a) is a factor


The remainder theorem states that:
If (x-a) is a factor of f(x), then f(x) / (x-a)  = 0


So if 2 is indeed a zero of f(x), then a factor must be (x-2) according to the fist which supports Ms. Guerra and also if (x-2) is indeed a factor as Ms. Guerra says then we know that f(x) / (x-a) = 0 which supports Mr. Romano

Professor McCoy is wrong because he used (x + 2) when it should be (x-2). I know this because according to the factor theorem if f(a)=0, then (x-a) is a factor. And the remainder theorem says if (x-a) is a factor of f(x), then f(x)/x-a =0.

ANSWERED AT 29/01/2020 - 04:30 PM


QUESTION POSTED AT 29/01/2020 - 04:30 PM

PLEASE HELP ! Fill in the blank. The light from a lamp casts a shadow of a man standing 15 feet away from the lamppost. The shadow is 5 feet long. The angle of elevation from the tip of the shadow to the lamp is 50. To the nearest foot, the lamppost is _____ feet tall.

Answer: Approximately 24 feet.

Step-by-step explanation:

Let line segment AB represents the length of the lamppost (In which A shows the top), CD shows the height of the man ( C shows his head ) and E represents the tip of the shadow.

Hence, According to the question,

AD = 15 feet, DE = 5 feet and ∠ E = 50

By the below diagram,

\frac{AB}{AE}=tanE

\frac{AB}{AD+DE}=tanE

\frac{AB}{15+5}=tan 50^{\circ}

\frac{AB}{20}=tan 50^{\circ}

AB=20\times tan 50^{\circ} = 23.8350718519\approx 24

Thus, the approximately length of the lamppost = 24 feet.

ANSWERED AT 29/01/2020 - 04:18 PM


QUESTION POSTED AT 29/01/2020 - 04:18 PM

A credit card issuer charges an APR of 13.99%, and its billing cycle is 30 days long. What is its periodic interest rate? A. 14.37% B. 1.15% C. 0.97% D. 11.43%

A credit card issuer charges an APR of 13.99%, and its billing cycle is 30 days long its periodic interest rate would be 1.15%. The correct answer between all the choices given is the second choice or letter B. I am hoping that this answer has satisfied your query about and it will be able to help you, and if you’d like, feel free to ask another question.

ANSWERED AT 29/01/2020 - 04:15 PM


QUESTION POSTED AT 29/01/2020 - 04:15 PM

What is the radius of a circle in which a 30° arc is 2(pi) inches long?

For this specific problem, the radius of a circle in which a 30° arc is 2(pi) inches long would be 12 inches. I am hoping that this answer has satisfied your query about and it will be able to help you.

ANSWERED AT 29/01/2020 - 03:52 PM


QUESTION POSTED AT 29/01/2020 - 03:52 PM

After 3 days a sample of radon-222 has decayed to 58% of its original amount. (a) What is the half-life of radon-222? (Round your answer to two decimal places.) b) How long will it take the sample to decay to 10% of its original amount? (Round your answer to two decimal places.)

The half-life of the radioactive substance can be determined through teh equation ln 2 = k (t 1/2) where k is equal to ln (1/(1-0.58)) / 3. Hence t 1/2 is equal to 2.40 days. To decay to 10% of the original amount, ln (1/0.90) / ( ln2) / 2.40, time is equal to 0.37 days.

ANSWERED AT 29/01/2020 - 03:48 PM


QUESTION POSTED AT 29/01/2020 - 03:48 PM

Kevin plans to put concrete on a rectangular portion of his driveway. The portion is 10 feet long and 3 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Keven needs is $72.59. Which of the following is closest to the width of the portion of the driveway on which Kevin plans to put concrete? 3 feet 6 feet 8 feet 10 feet I got 6 feet for my answer, but I'm not sure if I did this right...Could someone check this for me?

Since he pays $72.59, he does have: $98yard3 = $72.59x which is the same as which is the same as yard3 $98 = x $72.59. This expression is equivalent to yard3×$72.59$98=x yards which is equal to 0.74 yards. This is equal to 20.25 feet. hence, 20.25 =  y* 10 ft * (3/12) ft; y is then equal to 8.1 feet or C. 8 feet.

ANSWERED AT 29/01/2020 - 03:43 PM


QUESTION POSTED AT 29/01/2020 - 03:43 PM

If a rancher plans to fence a rectangular pasture adjacent to a river. The rancher has 100 meters of fencing, and no fencing is needed along the river. How do you write an area of A as a function of x? Then I would have to find domain afterwards

He perimeter of the area is the length of the fence. Perimeter = x + y + y. This can be simplified to Perimeter = x + 2y. You're told that the rancher has 100 m of fence, so the perimeter is 100 m: 100 = x + 2y (1) The area of a rectangle is given by the formula A = length * width. The length in this case is x, and the width is y. So, A = xy. Solve equation (1) for y. Once you find the expression to which y equals, plug that for y into A = xy. 100 = x + 2y. Solve for y by subtracting both sides by x: 100 - x = 2y. Divide both sides by 2: (100 - x)/2 = y Substitute (100 - x)/2 for y into A = xy: A = x[(100 - x)/2] A = [x(100 - x)]/2 You can rewrite this as (100x - x²)/2 or 50x - (x²/2) or 50x - (1/2x²).

ANSWERED AT 29/01/2020 - 03:43 PM


QUESTION POSTED AT 29/01/2020 - 03:43 PM

Kalon and his friend Marna own a chimney sweep service company. Working together, they can clean a chimney in 1 5/7 hours. If it takes Kalon 4 hours to clean a 20-foot chimney by himself, how long does it take Marna to clean the same size chimney by herself?

If Kalon can complete the job in 4 hours, he has completed 1 5/7 over 4 of the job if he works together with Marna. Letting x be the number of hours it will take Marna to work alone, she has completed 1 5/7 over x of the job. The amounts of job they have done should be equal to 1.
                             (1 5/7 / 4) + ( 1 5/7  / x ) = 1
The value of x is 3. So, Marna can clean the chimney in 3 hours. 

ANSWERED AT 29/01/2020 - 03:40 PM


QUESTION POSTED AT 29/01/2020 - 03:40 PM

Horatio drew a circle with a radius of 6x cm. Kelli drew a circle with a radius of 18y cm. What is the scale factor between these two circles? (this is a quiz question, you will recieve a medal for best answer) A. x/3y B. 2x/3y C. 1/3 D. 2/3

The scale factor of these two circles is the ratio of their radii. This is shown below,
                               sf = r1 / r2   =   6x/18y
Simplifying the fraction by dividing both the numerator and the denominator by 6 gives an answer of x/3y. Thus, the answer is letter A. 

ANSWERED AT 29/01/2020 - 03:37 PM


QUESTION POSTED AT 29/01/2020 - 03:37 PM

The number of nails of a given length is normally distributed with a mean length of 5 in. and a standard deviation of 0.03 in. In a bag containing 120 nails, how many nails are more than 5.03 in. long? a.about 38 nails b.about 41 nails c.about 16 nails d.about 19 nails

Answer:

(D) About 19 nails

Step-by-step explanation:

It is given that mean length= 5 inches and the standard deviation =0.03.

In order to standardize x to z, we use the formula=\frac{(x-{\mu})}{{\sigma}}.

Now, probability of nails having length more than 5.03= P(x>5.03)=P(z>\frac{(5.03-5)}{0.03})

=P(z>1)

=0.1587 b(Using the normal probability table)

In a bag of 20 nails, nails having length more than 5.03 inches=20{\times}0.1587=19.004

= about 19 nails.

ANSWERED AT 29/01/2020 - 03:37 PM


QUESTION POSTED AT 29/01/2020 - 03:37 PM

What is the probability that the one missing piece is a yellow piece with four holes

I wanna say 14%, just because if you add the total of pieces divided by the 5 yellow with 4 holes, you'll receive the answer 0.14.

ANSWERED AT 29/01/2020 - 02:59 PM


QUESTION POSTED AT 29/01/2020 - 02:59 PM

The legs of a right triangle are 18 centimeters and 80 centimeters long. What is the length of the hypotenuse?

Answer with Step-by-step explanation:

Pythagorean theorem states that:

Hypotenuse²=a²+b²

Where a and b are the length of the legs of a right angled triangles.

We are given a and b to be 18 cm and 80 cm

We have to find Hypotenuse

Using Pythagorean theorem

Hypotenuse²=18²+80²

                     = 6724

                    = 82²

⇒ Hypotenuse=82

Hence, length of the hypotenuse is:

82 centimeters

ANSWERED AT 29/01/2020 - 02:49 PM


QUESTION POSTED AT 29/01/2020 - 02:49 PM

A lobster creeps 10 meters along the seabed in 500 seconds at a constant rate. Find its rate of creeping in meters per seconds?

Meters per second is meters/seconds. At a constant rate the lobster is moving 10m/500sec so simplify so sec is 1.

0.02m/s

ANSWERED AT 29/01/2020 - 02:32 PM


QUESTION POSTED AT 29/01/2020 - 02:32 PM

A garden is 15 feet long by 5 feet wide the length and width of the garden will each be increased by the same number of feet right in algebraic Waze and represent the perimeter of the garden which of the following would be a crack representation of the larger garden

This is something that i can not answer right now because i have a headace but later i will answer this so dont you worry.

ANSWERED AT 29/01/2020 - 02:29 PM


QUESTION POSTED AT 29/01/2020 - 02:29 PM

When two dice are rolled, what is the probability the two numbers will have a sum of 10? a. 1/3 b. 1/10 c. 1/18 d. 1/12

Possible values that adds up to 10 with 2 dice.
Values are 4, 5 and 6.
5+5=10
6+4=10

When you roll the 2 dice, you can get 4 THEN 6 or 6 THEN 4. So these are the 2 ways to get 10.

You can also get both numbers 5 so, there are a total of 3 ways to get a sum of 10.

n = number of ways you can get a sum of 10.

n(1/6×1/6)=3(1/6×1/6)=1/12

Hence, answer is d. 1/12.

ANSWERED AT 29/01/2020 - 01:55 PM


QUESTION POSTED AT 29/01/2020 - 01:55 PM

Which is a shrink of an exponential growth function? a. f(x) = 1/3(3)^x b. f(x) = 3(3)^x c. f(x) = 1/3(1/3)^x d. f(x) = 3(1/3)^x

Answer: option a.

f(x)=\frac{1}{3} (3)^x


Explanation:


A shrink of a function is a shrink on the vertical direction. It means that for a certain value of x, the new function will have a lower value, in the intervals where the function is positive, or a higher value, in those intervals where the function is negative. This is, the image of the new function is shortened in the vertical direction.


That is the reason behind the rule:

  • given f(x), the graph of the function a×f(x), when a > 1, represents a vertical stretch of f(x),
  • given f(x), the graph of the function a×f(x), when a < 1, represents a vertical shrink of f(x).

So, we just must apply the rule: to find a shrink of an exponential growth function, multiply the original function by a scale factor less than 1.


Since it is a shrink of an exponential growth function, the base must be greater than 1. Among the options, the functions that meet that conditon are a and b:


a. f(x)=\frac{1}{3} (3)^x \\ \\ b.f(x) = 3(3)^x


Now, following the rule it is the function with the fraction (1/3) in front of the exponential part which represents a shrink of an exponential function.

ANSWERED AT 29/01/2020 - 01:40 PM


QUESTION POSTED AT 29/01/2020 - 01:40 PM

Whats 162cm in meters

The answer is 1.62 meters. 100cm = 1m.

ANSWERED AT 29/01/2020 - 01:19 PM


QUESTION POSTED AT 29/01/2020 - 01:19 PM

The radius and the height of the cylinder are multiplied by 1/3. what will be the effect on the volume of the cylinder?

Okay well for example--if the radius was 6 and the height was 12 the volume would be 1357.17, and if you multiply those by 1/3 which is the same as dividing it by 3, then you would have a radius off 2 and a height of 4, and the volume of that is 50.27, sooooooooo well the volume of the cylinder would decrease by like 26 to 27 times.

ANSWERED AT 29/01/2020 - 01:15 PM


QUESTION POSTED AT 29/01/2020 - 01:15 PM