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Alex Ar [27]
3 years ago
6

there is 4/5 lb of sand in science supplies. if one scoop of sand weighs 1/20 of a lb how many scoops of sand can maria get from

the class supplies?
Mathematics
1 answer:
tatuchka [14]3 years ago
5 0
We want to divide whole sand into scoops, so we have to divide 4/5 by 1/20. Lets do this

\frac{ \frac{4}{5} }{ \frac{1}{20} }
We know that if we want to divide 2 fraction we can multiply first by inverse of second fraction instead of dividing.,so:
\frac{ \frac{4}{5} }{ \frac{1}{20} }
\frac{4}{5}* \frac{20}{1}= \frac{4*20}{5*1}   = \frac{80}{5}= 16 scoops - its our result.
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A savings account with compounded interest can be modeled by which type of graph
Leona [35]

Answer: The answer is (C) Exponential.

Step-by-step explanation: We are to select out of the given options the type of graph that a savings account with compounded interest be modelled.

We know that compounding gives more interest because we are earning interest on interest, and not just on the principal.

The formula foe compound interest is given by

C.I.=P(1+\dfrac{r}{100})^n, where, 'P' is the principal, r is the rate of interest and 'n' is the number of years.

Therefore, we can see that the function is of exponential type.

If we draw the graph of compound interest earned every year with a particular rate of interest is of exponential type.

So, the correct option is (C) Exponential.

6 0
3 years ago
Read 2 more answers
The sales tax on a used car is​ $168168​, and the sales tax rate is 55​%. Find the purchase price ​(the price before taxes are​
Naily [24]

Answer:

$92492.40

Step-by-step explanation:

168168.00 - 55% (75675.60)= $92492.40

7 0
3 years ago
What does this equation equal?<br> 4-2(-2)=
olga_2 [115]

Answer:

8

Step-by-step explanation:

Pemdas:

4-2(-2)

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8

Hope this helped!

6 0
3 years ago
There were 28 white ducks swimming in a pond.
pickupchik [31]
28 white ducks swimming in pond
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Ducks remaining in the pond (at this point):
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8 0
3 years ago
Show that d^2y/dx^2=-2x/y^5, if x^3 + y^3=1
aalyn [17]

Answer:

y³ + x³ = 1

First, differentiate the first time, term by term:

{3y^{2}.\frac{dy}{dx} + 3x^{2}} = 0 \\\\{3y^{2}.\frac{dy}{dx} = -3x^{2}} \\\\\frac{dy}{dx} = \frac{-3x^{2}}{3y^{2}} \\\\\frac{dy}{dx} = \frac{-x^{2}}{y^{2}}

↑ we'll substitute this later (4th step onwards)

Differentiate the second time:

3y^{2}.\frac{dy}{dx} + 3x^{2} = 0 \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{dy}{dx})^{2} + 6x = 0 \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{dy}{dx})^{2} = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{-x^{2} }{y^{2} })^{2} = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + 6y(\frac{x^{4} }{y^{4} }) = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} + \frac{6x^{4} }{y^{3} } = - 6x \\\\3y^{2}.\frac{d^{2} y}{dx^{2}} = - 6x - \frac{6x^{4} }{y^{3} } \\\\

3y^{2}.\frac{d^{2} y}{dx^{2}} =  - \frac{- 6xy^{3} - 6x^{4} }{y^{3}} \\\\\frac{d^{2} y}{dx^{2}} =  - \frac{- 6xy^{3} - 6x^{4} }{3y^{2}. y^{3}} \\\\\frac{d^{2} y}{dx^{2}} =  - \frac{- 2xy^{3} - 2x^{4} }{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} =  - \frac{-2x (y^{3} + x^{3})}{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} =  - \frac{-2x (1)}{y^{5}} \\\\\frac{d^{2} y}{dx^{2}} =  - \frac{-2x}{y^{5}}

3 0
3 years ago
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