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3 years ago

A grocery store sells a bag of 5 potatoes for $2. What is the unit cost if each potato in the bag

Mathematics

1 answer:

Dmitrij [34]3 years ago

6 0

Answer:

Unit cost: $2.50 per potato

Step-by-step explanation:

Set up a proportion:

<h2><u>5 potatoes</u> = <u>x potatoes</u></h2><h2>2 dollars 1 dollar</h2><h2 />

cross multiply:

2x = 5

divide by 2 on both sides

x= 5/2 or 2.5

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The amount A of the radioactive element radium in a sample decays at a rate proportional to the amount of radium present. Given

slavikrds [6]

Answer:

a) $\frac{dm}{dt} = -k\cdot m$ , b) $m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$ , c) $m(t) = 10\cdot e^{-\frac{t}{2438.155} }$ , d) $m(300) \approx 8.842\,g$

Step-by-step explanation:

a) Let assume an initial mass m decaying at a constant rate k throughout time, the differential equation is:

$\frac{dm}{dt} = -k\cdot m$

b) The general solution is found after separating variables and integrating each sides:

$m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }$

Where $\tau$ is the time constant and $k = \frac{1}{\tau}$

c) The time constant is:

$\tau = \frac{1690\,yr}{\ln 2}$

$\tau = 2438.155\,yr$

The particular solution of the differential equation is:

$m(t) = 10\cdot e^{-\frac{t}{2438.155} }$

d) The amount of radium after 300 years is:

$m(300) \approx 8.842\,g$

4 0

3 years ago

Read 2 more answers

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denis23 [38]

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5 0

2 years ago

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How to solve this substitution

Lena [83]

-5x+4y=11
substitute for x which is 5
(-5)(5)+4y=11

simplify :
4y-25=11

add 25 on both sides
4y-25=11
+25 +25
the 25 cancels out

so it would be 4y=36
and you divide both sides by 4

4/4 =36/4

which gives you (5,9)
x= 5 , y =9

6 0

2 years ago

Which represents the value of What is the length of line segment DG?

Natalka [10]

<u>Answer</u>

12 units

<u>Explanation</u>

This can be solved using the properties of a circle.

DG and EG are secants f the circle.

DG×HG =EG×FG

(x+3+5)×5 = (x+6)×6

(x+8)5 = 6x + 36

5x +40 = 6x + 36

x = 4

DG = (x+3+5)

= 4 + 3 + 5

= 12 units

5 0

3 years ago

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In Kaylee's history class, 1/2 of the students are making videos for their final project and 1/12 are making dioramas. What frac

USPshnik [31]

Answer:

7/12

Step-by-step explanation:

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3 years ago