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2 years ago

1) Solve the inequality 2(n + 3) - 4 6 6. Then graph the solution.

Mathematics

1 answer:

mina [271]2 years ago

7 0

Answer:

Federcio's age possible values are those that are greater than 14 i.e 15, 16, 17 and so on

Step-by-step explanation:

Let Federico's age = x

Three times the difference of Federico’s age, and 4 means:

3(x - 4)

Increased by 7:

3(x - 4) + 7

Is greater than 37:

3(x - 4) + 7 > 37

Solving the inequality:

3x - 12 + 7 > 37

3x - 5 > 37

3x > 37 + 5

3x > 42

x > 14

Federcio's age possible values are those that are greater than 14

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Alicia drew a map of Texas. In the scale Alicia used for the map, .50 inch represents 20 miles. What is the distance between two

kramer

Answer:

An actual distance of 360 miles correspond to 9 inches on the map

Step-by-step explanation:

From the question, we have a scale of 0.5 inches representing 20 miles

Now, we want to relate an actual distance of 360 miles to a measurement on the map using the scale

From here, we have that;

0.5 inches = 20 miles

x inches = 360 miles

x * 20 = 0.5 * 360

20x = 180

x = 180/20

x = 9 inches

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Tank 1 initially contains 50 gals of water with 10 oz of salt in it, while tank 2 initially contains 20 gals of water with 15 oz

Naddik [55]

$\dfrac{\mathrm dx_1}{\mathrm dt}=\dfrac{2\text{ oz}}{1\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}-\dfrac{x_1(t)\text{ oz}}{50\text{ gal}}\dfrac{5\text{ gal}}{1\text{ min}}$
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$\implies\begin{cases}\dfrac{\mathrm dx_1}{\mathrm dt}=10-\dfrac1{10}x_1\\\\\dfrac{\mathrm dx_2}{\mathrm dt}=\dfrac1{10}x_1-\dfrac14x_2\\\\x_1(0)=10\\\\x_2(0)=15\end{cases}$

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2 years ago

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koban [17]

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Step-by-step explanation:

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3 years ago

A conical paper cup has dimensions as shown in the diagram. How much water can the cup hold when full?

dusya [7]

By definition, the volume of a cone is given by:
 $V = (1/3)*( \pi)*(r^2)*(h)
$
 Where,
r: radius of the circular base of the cone.
h: cone height
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 $r = d / 2 
$
 Where,
d: diameter of the circular base.
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 $r = 6/2 

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 $V = (1/3) * (3.14) * (3 ^ 2) * (10) 

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