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3 years ago

Evelyn saves 40% of her earnings for college. This year, she earned $200 more than last

Mathematics

1 answer:

N76 [4]3 years ago

6 0

Answer:

$ 2,050

Step-by-step explanation:

Earnings last year : x

0.4(x + 200) = 900

(x + 200) =900/0.4

x + 200 = 2250

x = 2250 - 200

x = $2,050

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Answer in scientific notation?

love history [14]

The answer is: 45 * 10 ⁻¹¹ .
___________________________________________

Explanation:
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Given: (9 * 10⁻⁵) * (5 *10 ⁻⁶) ; Simplify.
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(9 * 10⁻⁵) * (5 *10⁻⁶) =

9 * 5 * 10⁻⁵ * 10⁻⁶ =

(9 * 5) * 10⁻⁵ * 10⁻⁶

45 * 10⁻⁵ * 10⁻⁶ ;
______________________________________
Note the following property of exponents:

xᵃ * xᵇ = x⁽ᵃ⁺ᵇ⁾ ;

As such, 10⁻⁵ * 10⁻⁶ = 10⁽⁻⁵ ⁺ ⁻⁶) = 10 ⁻¹¹ ;
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So; 45 * 10⁻⁵ * 10⁻⁶

= 45 * 10⁻¹¹ .
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3 years ago

A bag contains 3 red balls and 6 blue balls. 2 balls are selected at random. Find the probability of selecting 2 red balls.

Gala2k [10]

Answer: You have 1/3 possibility of grabbing 2 red balls.

Step-by-step explanation:

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2 years ago

Which model shows the correct factorization of x2 – x – 2?

Murljashka [212]

Answer: The correct factors are

(x-1) and (x+2)

Step-by-step explanation:

Step one :

To factorize the equation

x²– x – 2=0

First we look for numbers that when multiplied will result to the constant term and when added will result to the second term (1x, - 2x)

Step two :

We replace the second term with these factors we have

x²–(x-2x)–2=0

x²–x+2x–2=0

Factoring the expression we have

x(x–1)+2(x–1)=0

Hence the factors will be

(x-1) and (x+2)

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3 years ago

Read 2 more answers

Select the two values of x that are roots of this equation.<br> 2x^2+ 1 = 5x

iren [92.7K]

Answer:

$\frac{5+\sqrt{17}}{4}$ , $\frac{5-\sqrt{17}}{4}$

Step-by-step explanation:

One is asked to find the root of the following equation:

$2x^2+1=5x$

Manipulate the equation such that it conforms to the standard form of a quadratic equation. The standard quadratic equation in the general format is as follows:

$ax^2+bx+c=0$

Change the given equation using inverse operations,

$2x^2+1=5x$

$2x^2-5x+1=0$

The quadratic formula is a method that can be used to find the roots of a quadratic equation. Graphically speaking, the roots of a quadratic equation are where the graph of the quadratic equation intersects the x-axis. The quadratic formula uses the coefficients of the terms in the quadratic equation to find the values at which the graph of the equation intersects the x-axis. The quadratic formula, in the general format, is as follows:

$\frac{-b(+-)\sqrt{b^2-4ac}}{2a}$

Please note that the terms used in the general equation of the quadratic formula correspond to the coefficients of the terms in the general format of the quadratic equation. Substitute the coefficients of the terms in the given problem into the quadratic formula,

$\frac{-b(+-)\sqrt{b^2-4ac}}{2a}$

$\frac{-(-5)(+-)\sqrt{(-5)^2-4(2)(1)}}{2(2)}$