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3 years ago

A number c decreased by 9 is less than or equal to 20. Find c?

Mathematics

1 answer:

ValentinkaMS [17]3 years ago

8 0

C - 9 < = 20
Add 9 to both sides
c -9 + 9 <= 20 + 9
c <= 29

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Please help me with this problem

tigry1 [53]

Answer:

A- 30,968 + 31,211

Step-by-step explanation:

Since 62,179 minus 31,211 is equal to 30968, 30968 plus 31,211 can be used to help check the answer for 62,179 minus 31,211.

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3 years ago

On a coordinate plane, a rectangle and a right triangle are shown. The rectangle has points (0, 4), (4, 10), (7, 8), and (3, 2).

Dmitry_Shevchenko [17]

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3 years ago

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What is the lcm of 9 12 and 18

Luda [366]

The LCM for this is 3.

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4 years ago

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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:

$(200+33t)^{1/3}A'(t)+11(200+33t)^{-2/3}A(t)=484(200+33t)^{-1/3}$
$\bigg((200+33t)^{1/3}A(t)\bigg)'=484(200+33t)^{-1/3}$
$A(t)=484\displaystyle\int(200+33t)^{-1/3}\,\mathrm dt$
$A(t)=22(200+33t)^{2/3}+C$

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

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

The tank becomes full when the volume of solution in the tank at time $t$ is the same as the total volume of the tank:

$200+(44-11)t=500\implies 33t=300\implies t\approx9.09$

at which point the amount of salt in the solution would be

$A(9.09)\approx733.47\text{ lb}$

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3 years ago

Solve the sum of two numbers is 23. one number is one less than twice the other. find the two numbers

morpeh [17]

Let the two numbers be x and y.

Given,

x + y = 23

x = 23 - y

Also given,

y = 2x - 1

y= 2(23 -y) -1

y = 46 - 2y - 1

3y = 45

y = 15

x = 23 - y = 23 - 15 = 8

Hence, the two numbers are 15 and 8.

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4 years ago

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