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3 years ago

What is the sum of X2-3x+7 and 3x2+5X-9

Mathematics

1 answer:

Pie3 years ago

6 0

$x^2-3x+7+3x^2+5x-9=\ \ \ \ | combine\ like\ terms\\\\
4x^2+2x-2\\\\
Solution\ is\ 4x^2+2x-2.$

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The chemistry class was making 300 gallons of 30% isopropyl alcohol. They mixed 12% with 42%. How much of each did they use?

alexgriva [62]

Answer:

The chemistry class mixed 120 gallons of 12% isopropyl alcohol and 180 gallons of 42% isopropyl alcohol.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of isopropyl alcohol made by the chemistry class = 300 of 30%

Amount of 12% isopropyl alcohol mixed by the chemistry class = x

Amount of 42% isopropyl alcohol mixed by the chemistry class = 300 - x

2. How much of each did they use?

Let's write our equation to solve for x, this way:

30% = 0.3, 12% = 0.12, 42% = 0.42

0.12x + 0.42 (300 - x) = 0.3 * 300

0.12x + 126 - 0.42x = 90

-0.3x = 90 - 126

-0.3x = -36

x = -36/-0.3

x = 120 ⇒ 300 - x = 180

Let's prove x = 120 is correct

0.12x + 0.42 (300 - x) = 0.3 * 300

0.12 * 120 + 0.42 (300 - 120) = 0.3 * 300

14.4 + 75.6 = 90

90 = 90

We proved x = 120 is correct

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3 years ago

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2 years ago

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The value of y is ___ the value of x. Write the equation

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he radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder wit

Elis [28]

Volume of cylinder: $V_{\text{cyl}}=\pi r^2h$ , where $r$ is the radius and $h$ is the height. This volume is $\pi\times10^2\times20=2000\pi$ (cubic cm).

Volume of cone: $V_{\text{cone}}=\dfrac13\pi r^2h$ , with the same variables denoting the same parameters. This volume is $\dfrac13\pi\times5^2\times10=\dfrac{250}3\pi$ (also cubic cm).

The number of times it would take to fill the cylinder with water using the cone as a source would be

$\dfrac{2000\pi}{\dfrac{250}3\pi}=24$

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3 years ago