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ser-zykov [4K]
2 years ago
15

mrs. hughes has 1/4 of a pan of spaghetti left over. She brought it to school and the 6 fifth grade teachers shred it what fract

ion of the pan of spaghetti did each teacher get?
Mathematics
1 answer:
Jet001 [13]2 years ago
3 0
1/4 / 6 =
1/4 x 1/6 = 1/24

Each teacher got 1/24 spaghetti left over.
You might be interested in
A rectangular tank that is 2048 ft cubed with a square base and open top is to be constructed of sheet steel of a given thicknes
ira [324]

Answer:

The box should have base 16ft by 16ft and height 8ft Therefore,dimensions are 16 ft by 16 ft by 8 ft

Step-by-step explanation:

We were given the volume of the tank as, 2048 cubic feet.

Form minimum weight, the surface area must be minimum.

Let the height be h and the lengths be x

the volume will be: V=x²h then substitute the value of volume, we have

2048=hx²

hence

h=2048/x²

Since the amount of material used is directly proportional to the surface area, then the material needs to be minimized by minimizing the surface area.

The surface area of the box described is

A=x²+4xh

Then substitute h into the Area equation we have

A= x² + 4x(2048/x²)

A= x² + 8192/x

We want to minimize

A

dA/dx = -8192/x² + 2 x= 0 for max or min

when dA/dx=0

dA/dx= 2x-8192/x²=0

2x=8192/x²

Hence

2x³=8192

x³=4096

x=₃√(4096)

X=16ft

Then h=2048/x²

h=2048/16²

h=8ft

The box should have base 16ft by 16ft and height 8ft

Hence the dimensions are 16 ft by 16 ft by 8 ft

8 0
2 years ago
If $1000 is invested at 2% interest, compounded continuously, for 5 years what is the ending balance? Round to the nearest cent
Radda [10]
1104.08 is your answer for this question
7 0
3 years ago
What are the zeros of the polynomial function? f(x)=x2−16x+48
posledela
X1 = 12
X2 = 4
I took the test and can promise you this is correct!!
6 0
3 years ago
Read 2 more answers
A person borrows $10,000 and repays the loan at the rate of $2,400 per year. The lender charges interest of 10% per year. Assumi
omeli [17]

Answer:

a) M(t)=24000-14000e^{t/10}

b) It takes 5.390 years to pay off the loan.

Step-by-step explanation:

(a) The differential equation for the variation in the amount of the loan M is

\frac{dM}{dt}=0.1M-2400

We can express this equation as:

\frac{dM}{dt}=0.1M-2400\\\\10\int \frac{dM}{M-24000} =\int dt\\\\10ln(M-24000)=t\\\\M-24000=Ce^{t/10}\\\\M=Ce^{t/10}+24000\\\\M(0)=Ce^{0/10}+24000=10000\\\\C+24000=10000\\\\C=-14000\\\\M(t)=24000-14000e^{t/10}

(b) We can calculate this as M(t)=0

M(t)=24000-14000e^{t/10}=0\\\\e^{t/10}=24000/14000=1.714\\\\t=10ln(1.714)=10* 0.5390=5.390

It takes 5.390 years to pay off the loan.

8 0
2 years ago
Angle x measures 42°. Find the measure of angle y.
Aneli [31]
The answer is Angle Y equals 138.

angle y= 180 -42 which gives u 138
6 0
3 years ago
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