MATHEMATICS HIGH SCHOOL

Help please I don't understand!!!2. For the system below:
a. Solve the system by the linear combination method. Show all work carefully.
b. Check your answer.
a - 2b = 2
a - b = 6

Answers

Answer 1
Answer: a- 2b = 2  one of the 2 "A" most be negative so they can cancer each other 
-a- b = 6   after the "A" cancel each other add the -2b with -b = -3b, then add 2 
--------------    and 6 
    -3b=8    then you have to divide 8 by -3 = -2.6       -2.6 its b... now you have to solve for b       step  1.  a -2b = 2   step 2.   a -2(-2.6)=2     step 3   a -5.3 = 2  then subtract -5.3 with 2 so that going to be 2 + 5.3 =7.3 then divide by a 
final answer (-2.5,-7.3)
sorry its kinda hard to explained here, i hope you get the point :)

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Solve the compound inequality. y - 3 > 5 OR y + 3 < -2

Answers

Answer: y < -5 or y > 8

Step-by-step explanation:

y-3>5\quad \text{or}\quad y+3<-2\n\underline{\ \ \ +3}\ \underline{\ +3}\qquad \underline{\quad \ \ -3}\ \underline{\ \ \ -3}\ny\quad \ \ >8\quad \text{or}\quad y\quad \ \ <-5

Graph:  ←---------o -1            8 o------------→

Interval Notation: (-∞, -5) ∪ (8, ∞)

A circle is inscribed in an equilateral triangle. A point in the figure is selected at random. Find the probability that the point will be in the part that is NOT shaded. A. About 25%
B. About 40%
C. About 60%
D. About 50%

Answers

If r is the radius of the circle, then the side length of the triangle is 2r\sqrt3.

The area of the circle is \pi r^2, while the area of the triangle is 3r^2\sqrt3.

So, the probability of selecting a random point in the white space is

1-(\pi r^2)/(3r^2\sqrt3)=1-(\pi)/(3\sqrt3)\approx0.395\approx40\%

Answer:

about 60%

Step-by-step explanation:

just took the test

Thirty-five percent of 160 is ??

Answers

The answer is fifty-six

GIVE BRAINLIEST :) Morgan can paint a room in 10 hours, while Sophia can paint it in 4 hours. If Morgan paints for x hours and Sophia paints for y hours, they will finish half of the painting, while if Morgan paints for y hours and Sophia paints for x hours they will paint the whole room. Find the ordered pair (x,y), expressing both x and y as simplified fractions.

Answers

Answer:

x,y =  ( 3 17/21  ,  10/21)

Step-by-step explanation:

Painting the room = 1    whole job

Morgan rate =   1/10

Sophia rate  =  1/4

Rate x time = 1    job

1/10 x   + 1/4 y  = 1/2      and

1/10 y  +  1/4 x  = 1          solve for x,y

Multiply the top equation by - 2.5

(-2.5)/10 x   - (2.5/4) y = -1.25    

-1/4 x  - 5/8 y =  -1 .25

 and add to the second equation to get

1/10 y  - 5/8 y = -.25    solve for y

4/40 y - 25/40 y = -.25

-21/40 y = - .25

y =  10/21  hr                           Substitute this into one of the original equations to find 'x'

 

1/10  (10/21) + 1/4 x = 1

1/21 + 1/4 x = 1

1/4 x = 20/21

x = 80/21                                         x,y =  ( 3 17/21  ,  10/21)

please mark brainliest!

Solve for p. -5 (p + 3/5)= -4
the answer should be a proper or improper fraction

Answers

Answer:

-5p-3=-4

-5p=-4+3

-5p=-1

p=1/5

Step-by-step explanation:

The inequality −6(x − 3) > 42 is given.Part A: Solve the inequality and show every step of your work. (4 points)

Part B: Explain in words how to graph the solution to the inequality on a number line. (4 points)

Part C: Find two values that would make the inequality true. Explain how you know the values are solutions to the inequality. (4 points)

Answers

Answer: Sure, I can help you with that!

Part A: To solve the inequality −6(x − 3) > 42, we first need to distribute the -6 to the expression inside the parentheses:

-6(x - 3) > 42 -6x + 18 > 42

Next, we’ll subtract 18 from both sides:

-6x > 24

Finally, we’ll divide both sides by -6. Since we’re dividing by a negative number, we need to flip the inequality sign:

x < -4

Therefore, the solution to the inequality is x < -4.

Part B: To graph the solution to this inequality on a number line, we’ll start by drawing an open circle at -4 (since x is not equal to -4). Then, we’ll draw an arrow pointing to the left of -4 to indicate that all values less than -4 are solutions to the inequality.

Part C: To find two values that would make the inequality true, we can choose any two values less than -4 and substitute them into the original inequality. For example, if we choose x = -5, then:

-6(-5 - 3) > 42 -6(-8) > 42 48 > 42

Since 48 is greater than 42, this confirms that x = -5 is a solution to the inequality. Similarly, if we choose x = -10, then:

-6(-10 - 3) > 42 -6(-13) > 42 78 > 42

Since 78 is also greater than 42, this confirms that x = -10 is also a solution to the inequality.

I hope this helps!
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