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3 years ago

Whats the distributive property of 85 divided by 5?

Mathematics

2 answers:

Ahat [919]3 years ago

6 0

$85:5=17 5(17:1)$

swat323 years ago

4 0

85 divided by 5 is a simple division operation. The answer is 17. This is problem is not an example of distributive property.

An example of distributive property would be 85(2+1) which would be 85(2)+85(3), which would be 255.

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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

pantera1 [17]

Answer:

The height of the pile is increasing at the rate of $\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

Step-by-step explanation:

Given that :

Gravel is being dumped from a conveyor belt at a rate of 20 ft³ /min

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

we know that radius r is always twice the diameter d

i.e d = 2r

Given that :

the shape of a cone whose base diameter and height are always equal.

then d = h = 2r

h = 2r

r = h/2

The volume of a cone can be given by the formula:

$V = \dfrac{\pi r^2 h}{3}$

$V = \dfrac{\pi (h/2)^2 h}{3}$

$V = \dfrac{1}{12} \pi h^3$

$V = \dfrac{ \pi h^3}{12}$

Taking the differentiation of volume V with respect to time t; we have:

$\dfrac{dV}{dt }= (\dfrac{d}{dh}(\dfrac{\pi h^3}{12})) \times \dfrac{dh}{dt}$

$\dfrac{dV}{dt }= (\dfrac{\pi h^2}{4} ) \times \dfrac{dh}{dt}$

we know that:

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

So;we have:

$20= (\dfrac{\pi (15)^2}{4} ) \times \dfrac{dh}{dt}$

$20= 56.25 \pi \times \dfrac{dh}{dt}$

$\mathbf{\dfrac{dh}{dt}= \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

The height of the pile is increasing at the rate of $\mathbf{ \dfrac{20}{56.25 \pi} \ \ \ \ \ ft/min}$

8 0

3 years ago

The cost of a long-distance telephone call is given by the function

zalisa [80]

The slope would represent the cost per minute, since m is the length of the call in minutes. Logically, D) Cost per minute, is the only one that would work. The connection cost would be just added in, and you wouldn't multiply the cost of having a phone line by how many minutes you're on the phone. The length of the call is already there, it's m, so that wouldn't work either. Therefore, D, cost per minute, is the logical answer. The slope in the equation represents D, cost per minute.

3 0

3 years ago

HELP ME ASAP PLEASE, I DONT KNOW THE ANSWER.

Fudgin [204]

64° i think because. its an iscoceles triangle so the bottom two angles are the same so you do 58+58=116 and because all angles in a triangle add to 180° you do 180-116=64°

7 0

2 years ago

PLS ANSWER NOW

lora16 [44]

You're answers are a bit jumbled up but here is the answer:
T for Two
B for Blue
M for Moon Roof
F for four
G for Gray
NM for No Moon Roof... so

TBM
TBNM
TGM
TGNM
FBM
FBNM
FGM
FGNM
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6 0

3 years ago

Read 2 more answers

The expression below is a sum of cubes.<br> 216x3 +64<br> true or false?

zepelin [54]

Since 216 is the cube of 6, 64 is the cube of 4 and x^3 is the cube of x, we have

$216x^3 + 64= (6x)^3+4^3$

so the expression is the sum of the cubes of 6x and 4

5 0

2 years ago