You mix the letters S, E, M, I, T, R, O, P, I, C, A, and L thoroughly. Without looking, you draw one letter. Find the probability that you select a vowel. Write your answer as a fraction in simplest form.

Answers

Answer 1
Answer: 5/12 would be your simplest form
Answer 2
Answer:  5
__  is the answer hope that i helped
12

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The sum of two numbers is 87. the difference of two numbers is 65 what are the two numbers

Gas prices went up this week from $4.00 a gallon to $4.20. What is the percent increase of the price?

Answers

Answer:5%  increase

Step-by-step explanation:

Write the partial fraction decomposition of the rational expression. Check your result algebraically.

Answers

Answer:

See below.

Step-by-step explanation:

First, distribute:

=(1)/(x(x+1))

Now, perform partial fraction decomposition. This is only two factors, so we only need linear functions:

(1)/(x(x+1)) =(A)/(x)+(B)/(x+1)

Now, multiply everything by x(x+1):

1=A(x+1)+B(x)

Now, solve for each variable. Let's let x=-1:

1=A(-1+1)+B(-1)

1=0A-B=-B

B=-1

Now, let's let x=0:

1=A(0+1)+B(0)

A=1

So:

(1)/(x(x+1))=(1)/(x)-(1)/((x+1))

Double Check:

(1)/(x)-(1)/((x+1))=((x+1))/(x(x+1))-(x)/(x(x+1))

=(x-x+1)/(x(x+1))    =(1)/(x^2+x)

(2x+3)(x+1) simplified

Would love the solution worked out also thank you

Answers

(2x + 3) (x + 1)

2x² + 3x + 2x + 3

2x² + 5x + 3

Answer: 2x^2+5x+3

Step 1

(2x)(x)+(2x)(1)+(3)(x)+(3)(1)

Step 2

2x^2+2x+3x+3

Final Answer

2x^2+5x+3

Solve for , , and .
-6x+3y-z=5
3x-y+5z=-10
-x+2y+3z=-1

Answers

Answer:

x=1, z=-2, y=3

Step-by-step explanation:

Substitution Method

15 + x ≤ –45 solve using inverse opertation

Answers

I believe the answer is x ≤ -60.

On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5). What is the equation of the line parallel to the given line with an x-intercept of 4? y = x +

Answers

Answer:

Answer above is correct!

First Box: 4

Second Box: -16

Step-by-step explanation:

Hope this helps :D

Answer:

Step-by-step explanation:

A line that is parallel to the line that goes through (-3, -3) and (-1, 5) will have the same slope as the one we will find when we plug those numbers into the slope formula. Let's do that first:

m=(5-(-3))/(-1-(-3))=(5+3)/(-1+3)=(8)/(2)=4 so the line we need to write has a slope of 4. Moving on...

If the x-intercept we need is 4, that means that we need to understand what an x-intercept is. The x-intercept exists where y = 0; so what we need to do is to write the equation of the line that has a slope of 4 and passes through the point (4, 0). Doing that:

y - 0 = 4(x - 4) and

y = 4x - 16