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2 years ago

9

Olivia earned $250 from babysitting over the summer. She wants to give 1/3 of her earnings to the animal shelter. How much will

she give to the shelter? Use an equation to solve this problem.

1 answer:

emmasim [6.3K]2 years ago

7 0

The answer is not a pretty one cause it has a bunch of decimals.
250/3 is 83.33333

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9. Which type of angle pairs are LSM and 2 <br> 10. Which angle forms a vertical pair with 1?

scoray [572]

$\large \mathfrak{Answer : }$

9. Angle LSM and Angle 2 are pair of vertical opposite angles which are equal.

10. Angle forming vertical pair with Angle 1 is Angle LSO (Angle 3).

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2 years ago

Using Cramer's rule to solve linear systems.

Rzqust [24]

Answer: Last Option

$x=2,\ y=-5$

Step-by-step explanation:

Cramer's rule says that given a system of equations of two variables x and y then:

$x =\frac{Det(A_X)}{Det(A)}$

$y =\frac{Det(A_Y)}{Det(A)}$

For this problem we know that:

$Det(A) = |A|=\left|\begin{array}{ccc}4&-6\\8&-2\\\end{array}\right|$

Solving we have:

$|A|= 4*(-2) -(-6)*8\\\\|A|=40$

$Det(A_X) = |A_X|=\left|\begin{array}{ccc}38&-6\\26&-2\\\end{array}\right|$

Solving we have:

$|A_X|=38*(-2) - (-6)*26\\\\|A_X|=80$

$Det(A_Y) = |A_Y|=\left|\begin{array}{ccc}4&38\\8&26\\\end{array}\right|$

Solving we have:

$|A_Y|=4*(26) - (38)*8\\\\|A_Y|=-200$

Finally

$x =\frac{|A_X|}{|A|} = \frac{80}{40}\\\\x=2$

$y =\frac{|A_Y|}{|A|} = \frac{-200}{40}\\\\y=-5$

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2 years ago

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(14 over 5) · (15 over 5)

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3 years ago

Read 2 more answers

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Answer:

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Step-by-step explanation:

First find the slope

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= ( 2 - -3)/( 1 - 6)

( 2+3)/( 1-6)

5/ -5

-1

The slope is -1

We can use slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -x+b

Substitute a point into the equation

2 = -1 +b

Add 1 to each side

2+1 = -1+1+b

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2 years ago

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The value of the definite integral / 212x – sin(x) dx / 122x-sin(x) is

blondinia [14]

Hi there!

$\boxed{= 70 + cos(12) - cos(2) \approx 71.26}$

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$\int x^n = \frac{x^{n+1}}{n+1}$

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$\int\limits^{12}_{2} {x-sin(x)} \, dx = [\frac{1}{2}x^{2}+cos(x)]_{2}^{12}$

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2 years ago