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Ede4ka [16]
2 years ago
15

Charlene and Gary want to make trail mix. In order to get the right balance of ingredients for their tastes they bought 3 pounds

of raisins at $2.67 per pound, 3 pounds of peanuts for $2.73 per pound, and 5 pounds of chocolate chips for $3.27 per pound. Determine the cost per pound of the trail mix.
The cost per pound of the trail mix is $________.
Mathematics
1 answer:
AfilCa [17]2 years ago
7 0

Answer:

$2.96

Step-by-step explanation:

3x$2.67=$8.01

3x$2.73=$8.19

5x$3.27=$16.35

$8.01+$8.19+$16.35=$32.55

This makes 11 pounds of trail mix.

$32.55 divided by 11 = $2.9590909 = $2.96

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Firlakuza [10]
The answer is 710.42
3 0
2 years ago
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(1 point) Let P(t) be the performance level of someone learning a skill as a function of the training time t. The derivative dPd
monitta

Answer:

P(t)=M+Ce^{-kt}

Step-by-step explanation:

Given the differential model

\dfrac{dP}{dt}=k[M-P(t)]

We are required to solve the equation for P(t).

\dfrac{dP}{dt}=kM-kP(t)\\$Add kP(t) to both sides\\\dfrac{dP}{dt}+kP(t)=kM\\$Taking the integrating factor\\e^{\int k dt} =e^{kt}\\$Multiply all through by the integrating factor\\\dfrac{dP}{dt}e^{kt}+kP(t)e^{kt}=kMe^{kt}\\\dfrac{dP}{dt}e^{kt}=kMe^{kt}\\(Pe^{kt})'=kMe^{kt} dt\\$Take the integral of both sides with respect to t\\\int (Pe^{kt})'=\int kMe^{kt} dt\\Pe^{kt}=kM \int e^{kt} dt\\Pe^{kt}=\dfrac{kM}{k} e^{kt} + C_0, C_0$ a constant of integration

Pe^{kt}=Me^{kt} + C\\$Divide both side by e^{kt}\\P(t)=M+Ce^{-kt}\\P(t)=M+Ce^{-kt}\\$Therefore:\\P(t)=M+Ce^{-kt}

4 0
1 year ago
A triangular pyramid is cut by a plane. In which case is the cross section a quadrilateral?
Pie

Answer:

(D) is the right answer

Step-by-step explanation:

The cross section will be a quadrilateral when the intersecting plane forms a closed four sided polygon along with the pyramid.

A triangular pyramid has four faces.  So, to form four straight lines and therefore a quadrilateral, the intersecting plane must intersect all four faces.

A. In this case the plane will only intersect one side of the pyramid so four sided polygon can't be formed.

B. It will only intersect the two sides of the pyramid but the cross section will not be a quadrilateral.

C. In this case the plane will intersect three sides of the pyramid so the cross section will be a triangle not a quadrilateral.

D. In this case the plane intersects all the four faces forming a closed polygon of 4 straight lines so the cross section will be a quadrilateral.

So, the Correct Option is (D) : When the plane intersects the base and all three lateral faces of the pyramid, the cross section of the triangular pyramid will be a quadrilateral.


8 0
1 year ago
Which expressions are equivalent to -6n+(-12)+4n
muminat

Answer:

i THINK its A. 4(n-3) -6n

Step-by-step explanation:

Have a wonderful day!!

6 0
2 years ago
What do you call it when 50 people stand on a wooden dock
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here's a worksheet that might match what you're looking for

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