A piece of licorice is to be cut into 10 equal size pieces . If the length of the piece of licorice is 2/3 yard, how long will each piece of licorice be?

QUESTION POSTED AT 06/12/2019 - 01:58 PM

Answered by admin AT 06/12/2019 - 01:58 PM

The first thing to do is turn this into an equation: 
2/3 ÷ 10 

10 as a fraction is 10/1
2/3 ÷ 10/1 = 

Fractional division is just fractional multiplication after switching the numerator and the denominator of the second fraction: 
2/3 X 10/1 

Fractional multiplication is simply multiplying the numerators by each other, and the denominators by each other: 
2 X 10 = 20
3 X 1 = 3

20/3

Each piece of liquorice will be 20/3 or 6 2/3 of a yard long. 

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Related questions

An ultra-low flush toilet uses 1.6 gallons every time it is flushed. What is the pattern that describes the total water used after n flushes? How many gallons have been used after 10 flushes?

The pattern is geometric because is adds 1.6 every flush.

After 10 flushes, 16 gallons are used.

ANSWERED AT 28/01/2020 - 01:11 AM


QUESTION POSTED AT 28/01/2020 - 01:11 AM

Leon verified that the side lengths 21, 28, 35 form a Pythagoreom triple using this procedure

Answer:

The correct answer is  25

ANSWERED AT 28/01/2020 - 01:08 AM


QUESTION POSTED AT 28/01/2020 - 01:08 AM

The sum of the measures of the interior angles of a triangle is equal to _____.

180 degrees I mean I do not know how to really explain it its based on the amount of sides a shape has and the sum of all 3 interior angles is 180

ANSWERED AT 28/01/2020 - 01:06 AM


QUESTION POSTED AT 28/01/2020 - 01:06 AM

For his long distance phone service, Dale pays a $6 monthly fee plus 8 cents per minute. Last month, Dale's long distance bill was $13.92 . For how many minutes was Dale billed?

Equation;
y=6+0.08x
Last month, Dale's long distance bill was 
$13.92
so,
$13.92=6+0.08x
0.08x=$13.92-6
0.08x=$7.92
x=99 minutes

ANSWERED AT 28/01/2020 - 01:05 AM


QUESTION POSTED AT 28/01/2020 - 01:05 AM

HELP! I'm stumped. A bag contains 100 marbles: 30 red, 30 blue, 30 green, plus a mix of 10 yellow and orange marbles. To be certain that you have 10 marbles of the same color, what is the minimum number you would need to remove (without looking) from the bag?

Well, consider the unluckiest case: In whatever order, you manage to remove nine of the red marbles, nine of the blue ones, nine of the green and all of the yellow and orange mix. So far, you've removed 37 of the marbles (9+9+9+10 = 37), yet you don't have 10 of any single color. If you remove just one more marble, it will be red, blue, or green, and you will have 10 of the same color. So the answer is 38 marbles.  :)

ANSWERED AT 28/01/2020 - 01:02 AM


QUESTION POSTED AT 28/01/2020 - 01:02 AM

Kirsten built a rectangular corral with a fence on three sides.A side of the barn served as a short side od the corral.She used 130 m of fencing . The length of the corral was 20 m longer than the width . Find the dimensions of the corral. Choices for the width : 25, 30 , 35 EXPLAIN

Answer:  Second option is correct.

Step-by-step explanation:

Since we have given that

Let the width of corral be 'w'.

Let the length of corral be 'w+20'

Perimeter of corral = 130 m

As we know the formula for "Perimeter":

Perimeter=2l+w\\\\130=2(w+20)+w\\\\130=2w+40+w\\\\130=3w+40\\\\130-40=3w\\\\90=3w\\\\\dfrac{90}{3}=w\\\\w=30\ m

so, width of corral = 30 m

Length of corral = 30+20 = 50 m

Hence, Second option is correct.

ANSWERED AT 28/01/2020 - 01:01 AM


QUESTION POSTED AT 28/01/2020 - 01:01 AM

Which neighborhood appears to have a bigger Family size? Q 6 | 3 | 1 | 2 | 3 | 2 | 5 | 1 | 2 S 5 | 2 | 4 | 3 | 5 | 3 | 2 | 4|5

S has the largest family size out of all the neighborhoods or I suppose so

ANSWERED AT 28/01/2020 - 12:57 AM


QUESTION POSTED AT 28/01/2020 - 12:57 AM

A boy who is 1.8 meters tall stands 1 meter away from a lamppost and casts a shadow 2 meters long. The height of the lamppost is meters.

Answer:

the height of the lamppost is 2.7 meters.

Step-by-step explanation:

Proportion states that two ratios or fractions are equal.

As per the statement:

A boy who is 1.8 meters tall stands 1 meter away from a lamppost and casts a shadow 2 meters long.

You can see the diagram as shown below.

by definition of proportion we have;

\frac{\text{height of the boy}}{\text{Shadow of boy}}=\frac{\text{height of the lamppost}}{\text{Shadow of lamppost}}

From the diagram:

height of the boy = 1.8 meter tall , shadow of the boy = 2 meter long, height of the lamppost = h meter and shadow of the lamppost = 1+2 = 3 meter

\frac{1.8}{2}= \frac{h}{3}

0.9 = \frac{h}{3}

Multiply both sides by 3 we have;

2.7 = h

or

h = 2.7 meter

Therefore, the height of the lamppost is 2.7 meters.

ANSWERED AT 28/01/2020 - 12:56 AM


QUESTION POSTED AT 28/01/2020 - 12:56 AM

Terri is analyzing a circle, y2 + x2 = 36, and a linear function g(x). Will they intersect? y2 + x2 = 36 g(x) graph of the function y squared plus x squared equals 36 x g(x) −4 −4 −2 −2 2 2 Yes, at positive x-coordinates or zero Yes, at negative x-coordinates or zero Yes, at negative and positive x-coordinates or zero No, they will not intersect

Answer:

The graph of the circle and function g(x) intersects at the positive and negative x-coordinates as well as at the origin.

Step-by-step explanation:

The equation of circle is given as:

x^2+y^2=36

also the graph of the function g(x) is given by:

We are given a set of values in a table as:

  x         g(x)

−4       −4

 −2        −2

   2          2

Hence, the function g(x) could be computed with the help of slope intercept form of a equation as:

y=mx+c; where m denotes the slope of the line and c denotes the y intercept.

when x=-4 g(x)=y=-4

-4=-4m+c

also when x=-2 then y=g(x)=-2

-2=-2m+c

on solving the above two equations using elimination method we get,

m=1 and c=0

hence, y=g(x)=x

Now we are asked tgo find whether the graph of the circle and g(x) intersect each other or not.

Clearly from the graph we could see that the graph of the circle and function g(x) intersects at the positive and negative x-coordinates as well as at the origin.


ANSWERED AT 28/01/2020 - 12:50 AM


QUESTION POSTED AT 28/01/2020 - 12:50 AM

Is the expression x^3 * x^3 * x^3 equal to x^3*3*3?

No. 
x^3 * x^3 * x^3 > x^3*3*3
x^3 * x^3 * x^3 = 19683
whereas  x^3*3*3 = 7.626 (rounded to 3 decimal places)

ANSWERED AT 28/01/2020 - 12:49 AM


QUESTION POSTED AT 28/01/2020 - 12:49 AM

Fractions- seven over twenty equals?

7/20 is equal to 0.35 or can also be equal to 35% of the whole.

ANSWERED AT 28/01/2020 - 12:49 AM


QUESTION POSTED AT 28/01/2020 - 12:49 AM

Triangle ABC has vertices of A(-6, 7), B (4, -1), and C (-2, -9). What is the length of the median from angle B?

Answer:  The length of the median from angle B is 8 units.

Step-by-step explanation:  As shown in the attached figure, A(-6, 7), B(4, -1) and C(-2, -9) are the vertices of ΔABC.

We are to find the length of the median BD from angle B to side AC.

Since BD is the median on side AC. So, D will be the mid-point of side AC.

Therefore, the co-ordinates of the point 'D' are

\left(\dfrac{-6+(-2)}{2},\dfrac{7+(-9)}{2}\right)=\left(\dfrac{-8}{2},\dfrac{-2}{2}\right)=(-4,-1).

Now, the length of median BD is equal to the distance between the vertex 'B' and the point 'D'.

Therefore, the length of median BD calculated using distance formula is

BD=\sqrt{(-4-4)^2+(-1+1)^2}\\\\\Rightarrow BD=\sqrt{64+0}\\\\\Rightarrow BD=\sqrt{64}\\\\\Rightarrow BD=8.

Thus, the length of the median from angle B is 8 units.

ANSWERED AT 28/01/2020 - 12:48 AM


QUESTION POSTED AT 28/01/2020 - 12:48 AM

Which ratio is equivalent to 14/21 2/7 2/3 1/7 3/4

The correct answer here is 2/3

That is because 7 doubled is 14 and 7 multiplied by 3 is 21.

ANSWERED AT 28/01/2020 - 12:46 AM


QUESTION POSTED AT 28/01/2020 - 12:46 AM

What is the inverse of 2/3?

The inverse of 2/3 is 3/2. Think of it as a reciprocal :) Hope this helps. Not really much work to put down lol.

ANSWERED AT 28/01/2020 - 12:45 AM


QUESTION POSTED AT 28/01/2020 - 12:45 AM

A triangle has side lengths measuring 3x cm, 7x cm, and h cm. Which expression describes the possible values of h, in cm?

The answer is 4x cm < h < 10x cm.

The third side of the triangle is greater than the difference of the lengths of the other two sides (h > 7x cm - 3x cm) and it is less than the sum of the lengths of the other two sides (h < 7x cm + 3x cm). Therefore:
h > 7x - 3x
h < 7x + 3x

This can be expressed as:
7x cm - 3x cm < h < 7x cm + 3x cm
⇒ 4x cm < h < 10x cm

ANSWERED AT 28/01/2020 - 12:44 AM


QUESTION POSTED AT 28/01/2020 - 12:44 AM

Which fraction is equal to 2/3

4/6 , 6/9 would be 2 examples

ANSWERED AT 28/01/2020 - 12:44 AM


QUESTION POSTED AT 28/01/2020 - 12:44 AM

Select the equation that contains the points (-2,-2) and (4,10). A.y-6=2(X-2) B.y-6=-2(X-2) C.y+6=-2(X+1) D.y+2=6(X+6)

(-2,-2) and (4,10) (x1, y1) and (x2,y2) the answer is going to be in point-slope form : y - y1 = m(x-x1) 1.) find your slope (m) using the equation: m-y2-y1/x2-x1 2.) once you get your slope (m) then pluf everything back in. It's either going to be A or B. :) Hope that helps.

ANSWERED AT 28/01/2020 - 12:38 AM


QUESTION POSTED AT 28/01/2020 - 12:38 AM

Four times the square of a non-zero number is equal to eight times the number?

The correct answer is 2.
4x^2=8x
4x^2-8x=8x-8x
4x^2-8x=0
4x(x-2)=0
x=0 or x=2
Therefore x=2

ANSWERED AT 28/01/2020 - 12:36 AM


QUESTION POSTED AT 28/01/2020 - 12:36 AM

Marcus spent 10 hours doing his homework last week. This eek he spent 11 hours doing his homework. He say he spent 110% more time doing homework this week. Is he correct? how do i justify

How much extra hours did he spent doing his homework between last week and this week:
11-10= 1 hour
Extra hour over original hour x 100% will be the percentage of extra time he did his homework:
1/10 x 100% = 10%
Therefore, he is not correct.

ANSWERED AT 28/01/2020 - 12:35 AM


QUESTION POSTED AT 28/01/2020 - 12:35 AM

Q1 In the class there are 11 girls and 11 boys what is the percentage of the class are boys? Q2 A supermarket is reducing the price of its own brand washing powder by 10%. The original price is £2.50 what is the reduced price

If it reduces by 10%, then u are paying 90%
90% of 2.50...." of " means multiply...turn the percent to a decimal
0.90 * 2.50 = 2.25 is the reduced price

ANSWERED AT 28/01/2020 - 12:34 AM


QUESTION POSTED AT 28/01/2020 - 12:34 AM

Find the first four terms of the given sequence tn = n/(n+1). A. ½, 2/3, ¾, 4/5 B. 1, ½, 1/3, ¼ C. 1, ½, 2/3, ¾ D. 1, 2, 3, 4

Plug in 1, 2, 3,and 4 for n
t_n=\frac{n}{n+1} \\ \\ t_1=\frac{1}{1+1}=\frac{1}{2} \\ \\ t_2=\frac{2}{2+1}=\frac{2}{3} \\ \\ t_3=\frac{3}{3+1}=\frac{3}{4} \\ \\ t_4=\frac{4}{3+1}=\frac{4}{5}

A

ANSWERED AT 28/01/2020 - 12:34 AM


QUESTION POSTED AT 28/01/2020 - 12:34 AM

A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula? 1, –5, 25, –125, ... 2, 10, 50, 250, ... 3, –2, –7, –12, ... 4, 9, 14, 19, ...

Each term will be 5 less than the previous term since the formula says to subtract 5.

3, –2, –7, –12, ... is the correct sequence.

f(1) would be 3
f(2) = f(1 + 1) = f(1) - 5 = 3 - 5 = -2
f(3) = f(2 + 1) = f(2) - 5 = -2 - 5 = -7
f(4) = f(3 + 1) = f(3) - 5 = -7 - 5 = -12
and so on

ANSWERED AT 28/01/2020 - 12:33 AM


QUESTION POSTED AT 28/01/2020 - 12:33 AM

Select the equation in which the graph of the line has a negative slope and the y-intercept equals 10. A.10x+5y=-25 B.5x-10y=-12 C.20x+5y=50 D.2x+6y=10

That would be C.

20x + 5y = 50
5y = - 20x + 50
y = -20/5x + 50/5
y = - 4x + 10
now in y = mx + b form. the m represents ur slope and the b represents ur y intercept. So here, u have a slope of -4 and a y intercept of 10.

ANSWERED AT 28/01/2020 - 12:31 AM


QUESTION POSTED AT 28/01/2020 - 12:31 AM

Which of the following sets are discrete? check all that apply. A. {-30,-21,-17,-4,2,3} B. {1,2,3,4,5,...} C. {-8,16} D. {20,80 E. {5,10}

Answer:

Option (B) and (E) are discrete sets.

Step-by-step explanation:

Discrete Sets include the countable variable. It can be positive real numbers.

Option (A) is incorrect as it also includes negative values.

Option (B) is correct as it includes all natural numbers not included negative or decimal values.

Option (C) is incorrect as it includes -8 and it is negative.

Option (D) is incorrect as it is not the set, Set has both open and closed braces( {a} ).

Option (E) is correct as both elements are positive and not has decimals or negative values.

ANSWERED AT 28/01/2020 - 12:15 AM


QUESTION POSTED AT 28/01/2020 - 12:15 AM

The mean percentage of a population of people eating out at least once a week is 57% with a standard deviation of 3.50%. Assume that a sample size of 40 people was surveyed from the population a significant number of times. In which interval will 68% of the sample means occur?

Since 68% of the sample ranges from the plus minus first standard deviation from the mean, then interval wherein it will occur will be between 53.5% to 60.5%. I got this answer through adding and subtracting one standard deviation (3.5) from the mean (which is 57). 

ANSWERED AT 28/01/2020 - 12:14 AM


QUESTION POSTED AT 28/01/2020 - 12:14 AM

A firecracker shoots up from a hill 145 feet high with an initial speed of 80 feet per second. Using the formula H(t) = -16t2 + vt + s, approximately how long will it take the firecracker to hit the ground? a. 13 seconds b. 11 seconds c. 9 seconds d. 6 seconds

145 = -16 t² + 80 t +s
s = ?
v = v0 - at
0 = 80 - at
80 = at
s = 80 t - at²/2
s = 80 t - 80t/2
s = 40 t
Finally: 145 = -16 t² + 80 t + 40 t
16 t² - 120 t + 145 = 0
We will solve this quadratic equation:
t = [120 +√ ( (-120)²- 4 · 16 · 145 )] / 32
t = [120 + √ (14400 - 9280) ] / 32 
t = (120 + 71.55) / 32 = 5.98 ≈ 6 s
Answer:D) 6 seconds

ANSWERED AT 28/01/2020 - 12:14 AM


QUESTION POSTED AT 28/01/2020 - 12:14 AM