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Fofino [41]
3 years ago
6

The equation a=640s gives the relationship between s square miles and acres. Pam owns 7.5 square miles of farmland. How many acr

es does she own
Mathematics
2 answers:
elena-14-01-66 [18.8K]3 years ago
8 0

Answer:

4800 acres.

Step-by-step explanation:

We have been given an equation a=640s, which gives the relationship between s square miles and acres.

To find the number of acres Pam owns we will substitute s=7.5 in our given equation.

a=640\times 7.5

a=4800

Therefore, Pam owns 4800 acres.

zhenek [66]3 years ago
7 0
640 acres / 1 mi^2 

<span>7.5 mi^2 (640 acres / 1 mi^2) </span>

<span>= 4,800 acres </span>
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Can someone check my work? :) thanks
yawa3891 [41]

Answer:

Explanation is below.

Step-by-step explanation:

Commutative property:

The Commutative property states that order does not matter. Multiplication and addition are commutative.

For example 2+5=5+2 .

Associative property:

The associative property states that you can add or multiply regardless of how the numbers are grouped.

For example 2x(7x5)=(2x7)x5

Distributive property:

The distributive property lets you multiply a sum by multiplying each addend separately and then add the products.

For example 2(x+y)=2x+2y

Zero property of addition:

Zero is the additive identity. Adding zero to a number will not change its value. a + 0 = a.

For example 2z + 0 = 2z

Identity property of multiplication:

Property is that multiplying any number by 1 allows the number to keep its identity.

For example 14 x 1 = 14

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The additive inverse of a number a is the number that, when added to a, yields zero. This number is also known as the opposite, sign change, and negation.

For example 13 + -13 = 0

7 0
3 years ago
A 500500-gallon tank initially contains 200200 gallons of brine containing 100100 pounds of dissolved salt. brine containing 11
mixer [17]
Let A(t) denote the amount of salt in the tank at time t. We're given that the tank initially holds A(0)=100 lbs of salt.

The rate at which salt flows in and out of the tank is given by the relation

\dfrac{\mathrm dA}{\mathrm dt}=\underbrace{\dfrac{11\text{ lb}}{1\text{ gal}}\times\dfrac{44\text{ gal}}{1\text{ min}}}_{\text{rate in}}-\underbrace{\dfrac{A(t)}{200+(44-11)t}\times\dfrac{11\text{ gal}}{1\text{ min}}}_{\text{rate out}}
\implies A'(t)+\dfrac{11}{200+33t}A(t)=484

Find the integrating factor:

\mu(t)=\exp\left(\displaystyle\int\frac{11}{200+33t}\,\mathrm dt\right)=(200+33t)^{1/3}

Distribute \mu(t) along both sides of the ODE:

(200+33t)^{1/3}A'(t)+11(200+33t)^{-2/3}A(t)=484(200+33t)^{-1/3}
\bigg((200+33t)^{1/3}A(t)\bigg)'=484(200+33t)^{-1/3}
A(t)=484\displaystyle\int(200+33t)^{-1/3}\,\mathrm dt
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Since A(0)=100, we get

100=22(200)^{2/3}+C\implies C\approx-652.39

so that the particular solution for A(t) is

A(t)=22(200+33t)^{2/3}-652.39

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3 years ago
Draw a line with 3 distinct points on it. Label each with a different letter. How many different rays can you name using only th
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Answer:

I can explain its simple

Step-by-step explanation:

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