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3 years ago

12

Sal had a board 5/6 yard in length.He cut off 1/3 yard,and then cut what remained into pieces each 1/6 yard long.How many pieces

were there. A 2. B 3. C 4. D 6

1 answer:

olchik [2.2K]3 years ago

5 0

B. 3 is my answer because if you draw a bar model and cut it into pieces and take away 2/6, you are left with 3/6, 3 pieces.

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Charlie made $168 for working an eighth hour day yesterday. write an equation that shows the relationship between the amount of

MissTica

168/8 = x
x=21

Thus your equation is 21x where x equals amount of hours worked and 21 equals the amount he makes per hour

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3 years ago

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shap

11Alexandr11 [23.1K]

Answer:

0.25 feet per minute

Step-by-step explanation:

Gravel is being dumped from a conveyor belt at a rate of 20 ft3/min. Since we are told that the shape formed is a cone, the rate of change of the volume of the cone.

$\dfrac{dV}{dt}=20$ ft^3/min$

$\text{Volume of a cone}=\dfrac{1}{3}\pi r^2 h$

Since base diameter = Height of the Cone

Radius of the Cone = h/2

Therefore,

$\text{Volume of the cone}=\dfrac{\pi h}{3} (\dfrac{h}{2}) ^2 \\V=\dfrac{\pi h^3}{12}$

$\text{Rate of Change of the Volume}, \dfrac{dV}{dt}=\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}$

Therefore: $\dfrac{3\pi h^2}{12}\dfrac{dh}{dt}=20$

We want to determine how fast is the height of the pile is increasing when the pile is 10 feet high.

$h=10$ feet$\\\\\dfrac{3\pi *10^2}{12}\dfrac{dh}{dt}=20\\25\pi \dfrac{dh}{dt}=20\\ \dfrac{dh}{dt}= \dfrac{20}{25\pi}\\ \dfrac{dh}{dt}=0.25$ feet per minute (to two decimal places.)$

When the pile is 10 feet high, the height of the pile is increasing at a rate of 0.25 feet per minute

5 0

3 years ago

Elodia [21]

Answer:

well this "paul" could stand on his head or break a bone and his mother would HAVE to pay attention

8 0

2 years ago

Bobbie and Adam each own 35% of partnership BAB. On October 15, 2018, Bobbie sells her interest to Bob, who is a 30% partner. On

Ludmilka [50]

Answer:

Step-by-step explanation:

Such partnerships only terminate when one of the partners sells his entire share which makes him no longer a partner in the company, but there may still be another partnership in the company. The other way all partnerships in the company terminate is when a single party/partner gains control of the entire companies' shares meaning they are 100% owner of the company and no other individual has any controlling interest in the company.

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2 years ago

The length of AB is 9 centimeters. A dilation with a scale factor of 2 is applied to AB. What is the length of the image AB afte

OLEGan [10]

Answer:

18cm

Step-by-step explanation:

Given:

- The length of AB is 9 centimeters

- A dilation with a scale factor of 2

The length of the image AB after the dilation is applied:

9 x 2 = 18

dilation is used to make an image or in this case AB, with a scale factor of 2 means that its doubling in size. If the scale factor was 1/2 that it would be decreasing in size since it will be half of the original size

5 0

2 years ago