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2 years ago

Find the sum of find the sum of 3/4 of 8 1/3 of 4

2 answers:

8 0

3 Divided by 4 is .75
0.75 divided by four is 1/2
1/3 divided bt 4 is 1/12
3/32 + 1/12 is 17/96 (that is in simplest form)
Therefore
17/96

Simora [160]2 years ago

7 0

17/96 is what I got. Tell me if I'm wrong plz

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1:X = X:25. What number can replace X?

igor_vitrenko [27]

5 is your answer

1: 5 = 5: 25

Note that the colon can act like a fraction.

Simplify 5/25.

(5/25)/(5/5) = 1/5 = 1/5

5 is your answer

hope this helps

7 0

2 years ago

Mr. Altamirano opens an account with a simple interest on an account with $1000 at 3% annually for 9 months. How much interest d

Aleksandr [31]

Answer:

$270

Step-by-step explanation:

Multiply 1000 by .03 or 3%. Then mulrioly that number by 9 because it is that amoint of interest for nine months.

3 0

2 years ago

A tank contains 1600 L of pure water. Solution that contains 0.04 kg of sugar per liter enters the tank at the rate 2 L/min, and

goldfiish [28.3K]

Let S(t) denote the amount of sugar in the tank at time t. Sugar flows in at a rate of

(0.04 kg/L) * (2 L/min) = 0.08 kg/min = 8/100 kg/min

and flows out at a rate of

(S(t)/1600 kg/L) * (2 L/min) = S(t)/800 kg/min

Then the net flow rate is governed by the differential equation

$\dfrac{\mathrm dS(t)}{\mathrm dt}=\dfrac8{100}-\dfrac{S(t)}{800}$

Solve for S(t):

$\dfrac{\mathrm dS(t)}{\mathrm dt}+\dfrac{S(t)}{800}=\dfrac8{100}$

$e^{t/800}\dfrac{\mathrm dS(t)}{\mathrm dt}+\dfrac{e^{t/800}}{800}S(t)=\dfrac8{100}e^{t/800}$

The left side is the derivative of a product:

$\dfrac{\mathrm d}{\mathrm dt}\left[e^{t/800}S(t)\right]=\dfrac8{100}e^{t/800}$

Integrate both sides:

$e^{t/800}S(t)=\displaystyle\frac8{100}\int e^{t/800}\,\mathrm dt$

$e^{t/800}S(t)=64e^{t/800}+C$

$S(t)=64+Ce^{-t/800}$

There's no sugar in the water at the start, so (a) S(0) = 0, which gives

$0=64+C\impleis C=-64$

and so (b) the amount of sugar in the tank at time t is

$S(t)=64\left(1-e^{-t/800}\right)$

As $t\to\infty$ , the exponential term vanishes and (c) the tank will eventually contain 64 kg of sugar.

7 0

3 years ago

Erica is buying a $205,000 home. She has decided to purchase 2 points in order to lower her interest rate. The appraisal fee is

victus00 [196]

2 points=2%=0.02
205000×0.02=4,100 cost of 2 points

Closing costs is
4,100+450+575+600
=5,725....answer

Hope it helps!

8 0

2 years ago

Read 2 more answers

16y + 0 = 16y

balu736 [363]

The answer is C. Identify property of addition

4 0

2 years ago