MATHEMATICS
MIDDLE SCHOOL

Answer:

If he starts with one piece and ends up with 5 pieces, then he makes 4 cuts.

It takes him 8 minutes to do the actual cutting, although he may take breaks

between cuts.

If he starts with one piece and ends up with 5 pieces, then he makes 4 cuts.

It takes him 8 minutes to do the actual cutting, although he may take breaks

between cuts.

Answer: I think the correct answer to your question is that he will make 4 cut hope this helps

MIDDLE SCHOOL

What is the sum of 2/ 10 +6/100

Answer:

Step-by-step explanation:

2/10+6/100 is the same as 2/10*10/10+6/100

2/10*10/10=20/100

20/100+6/100

26/100

Answer: 26/100

Step-by-step explanation: Find the common denominator, which is 100 multiply both numerator and denominator by 10 which is 20/100 and then add on 6/100 which equals 26/100

MIDDLE SCHOOL

In 1-2 paragraphs, respond to the following prompt: Explain how a living trust is beneficial to children who lose their parents unexpectedly.

Answer:

It allows you to name a guardian for your children. The living trust protects the property from minor children, and instead of leaving property directly to the child, it can be left under the care of a responsible trustee who will manage the assets until the child becomes 18.

COLLEGE

Ð1 and Ð2 are congruent. If mÐ1 = 10x – 5 and mÐ2 = 6x + 15, then what is the degree measure of Ð1?

Answer:

mÐ1 = 45Step-by-step explanation:

If Ð1 and Ð2 are congruent, then mÐ1 = mÐ2.

We have mÐ1 = 10x - 5 and mÐ2 = 6x + 15.

The equation:

10x - 5 = 6x + 15 add 5 to both sides

10x - 5 + 5 = 6x + 15 + 5

10x = 6x + 20 subtract 6x from both sides

10x - 6x = 6x - 6x + 20

4x = 20 divide both sides by 4

4x : 4 = 20 : 4

x = 5

Put the value of x to the expression 10x - 5:

10(5) - 5 = 50 - 5 = 45

COLLEGE

The school that Jennifer goes to is selling tickets to a play. On the first day of ticket sales the school sold 3 adult tickets and 12 child tickets for a total of $141. The school took in $197 on the

second day by selling 13 adult tickets and 6 child tickets. What is the price each of one adult

ticket and one child ticket?

Answer:

Adult ticket = $11

Children ticket = $9

Step-by-step explanation:

Let the price of adult tickets be x and let the price of children's ticket be y

For the first day, the equation of sales can be put as

3x + 12y = 141..........1

For the second day, the equation of sales can be put as:

13x + 6y = 197............2

We then take these two equations together and solve simultaneously.

3x + 12y = 141.......1

13x + 6y = 197........2

Solving by elimination method, we Multiply through equation 1 by 13 and multiply through equation 2 by 3.

39x + 156y = 1833.........3

39x + 18y = 591..............4

Then subtract equation 4 from equation 3

138y =1242

y = 9

Substitute "y=9" into equation 1 to find x

3x + 12(9) =141

3x + 108 = 141

3x = 141 - 108

3x = 33

x = 11

Hence,

Price of adult ticket = $11

Price of children ticket = $9

HIGH SCHOOL

Which expression is equivalent to (8 -3i) - (3 - 7i)? 1. 11 + 4i

2. 5 - 10i

3. 5 + 4i

4. 11 + 10i

I believe your answer is 3. 5+4i

COLLEGE

Assume you are rolling two dice; the first one is red, and the second one is green. Use a systematic listing to determine the number of ways you can roll a total of 5

on the two dice

Red die: 1,2,3,4

green die: 4,3,2,1

I'm not sure if that's the answer you were looking for, but hopefully that helps.

green die: 4,3,2,1

I'm not sure if that's the answer you were looking for, but hopefully that helps.

MIDDLE SCHOOL

What is the square root of 16

MIDDLE SCHOOL

What is an equation of the line that passes through the points (-2, -5)and (-1, 1)?

Answer: y = 6x + 7

Step-by-step explanation:

We can use slope formula to find the slope of a line that passes through two points (x₁ , y₁) and (x₂ , y₂)

m = ∆y/∆x = y₂-y₁/x₂-x₁Given points are: P(x₁ , y₁) = (-2, -5) and Q(x₂ , y₂) = (-1, 1)

Substituting these two known points in the slope formula, we have:

m = (1-(-5))/(-1-(-2)) = 1+5/-1+2 = 6/1 = 6

Now we can use the point-slope formula to write the equation of a line given a point on the line and the slope of the line:

m = 6 , given point P(x₁,y₁) = (-2, -5)

Formula = (y-y₁) = m(x-x₁)(y-(-5)) = 6(x-(-2))

y+5 = 6x + 12

y = 6x + 12 -5

y = 6x + 7

Answer: y = 6x + 7

Spymore
First find the slope(m)

Slope= y2-y1/x2-x1= (1-(-5))/(-1-(-2))= 6/1 = 6

Then find the y intercept (move up six and right one from (-1, 1) to get (0, 7)

The y-intercept is y=7

Now make the equation

Y= slope(x) + y-intercept

Y=6x+7

Slope= y2-y1/x2-x1= (1-(-5))/(-1-(-2))= 6/1 = 6

Then find the y intercept (move up six and right one from (-1, 1) to get (0, 7)

The y-intercept is y=7

Now make the equation

Y= slope(x) + y-intercept

Y=6x+7

COLLEGE

PLS HELP!!!!!!!!!!!!!! ASAP 15 POINTS The graph of the line x+y=b is a perpendicular bisector of the line segment from (0,3) to (6,9). What is the value of b?

Y = -x + 9

To find this answer, first we must find the slope of the current segment. If the two are perpendicular, the lines will have opposite and reciprocal slopes. To find the slope, use the slope formula.

m = y1 - y2/x1 - x2

m = 9 - 3/6 - 0

m = 6/6

m = 1

Since the slope of the new line will be opposite and reciprocal, the new slope will be -1. Now we can use that along with a point to find the line. Since it is a bisector of the original segment, we know it must go through the midpoint. To find the midpoint, take the average of the x values and the average of the y values. The average of the x's (0 and 6) will give you 3. The average of the y's (3 and 9) will give you 6.

Knowing the slope of -1 and the point (3, 6) we can solve for the y intercept using slope intercept form.

y = mx + b ---> plug in known values

6 = -1(3) + b ----> multiply

6 = -3 + b ---> add 3 to both sides

9 = b

With that and the slope, you can give the equation above.

To find this answer, first we must find the slope of the current segment. If the two are perpendicular, the lines will have opposite and reciprocal slopes. To find the slope, use the slope formula.

m = y1 - y2/x1 - x2

m = 9 - 3/6 - 0

m = 6/6

m = 1

Since the slope of the new line will be opposite and reciprocal, the new slope will be -1. Now we can use that along with a point to find the line. Since it is a bisector of the original segment, we know it must go through the midpoint. To find the midpoint, take the average of the x values and the average of the y values. The average of the x's (0 and 6) will give you 3. The average of the y's (3 and 9) will give you 6.

Knowing the slope of -1 and the point (3, 6) we can solve for the y intercept using slope intercept form.

y = mx + b ---> plug in known values

6 = -1(3) + b ----> multiply

6 = -3 + b ---> add 3 to both sides

9 = b

With that and the slope, you can give the equation above.