Pamela spent 2/3 of an hour doing homework. she solved math problems for 2/5 of that time and read her science book for 3/5 of that time. what fraction of one hour did Pamela spendsolving math problems?

reading her science book?

Answers

Answer 1
Answer: 4/15 or 16 minutes.  She spent 40 minutes doing homework.  2/5's of 40 minutes is 16 minutes.  16/60=4/15
Answer 2
Answer:

Final answer:

Pamela spent 4/15 of an hour solving math problems and 2/5 of an hour reading her science book.

Explanation:

To find the fraction of the hour Pamela spent on each activity, we need to multiply the fraction of the overall time she spent doing homework by the fraction of that time she spent on each specific activity.

  • Math: 2/3 (total homework time) * 2/5 (fraction of homework time spent on math) = 4/15 of an hour.
  • Science: 2/3 (total homework time) * 3/5 (fraction of homework time spent on science) = 6/15 or 2/5 of an hour.

So, Pamela spent 4/15 of an hour solving math problems and 2/5 of an hour reading her science book.

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Complete the square to factor X^2 +10X=-8

Answers

Answer: x=√(17)-5 and x = -√(17)-5

Step-by-step explanation:

Alright, lets get started.

The given equation is :

x^(2) +10x = -8

Adding 8 in both sides, it will become

x^(2) +10x + 8 = -8 +8

x^(2) +10x + 8 = 0

To make it perfect square, we need to add 25 and subtract 25

x^(2) +10x + 8 +25-25= 0

x^2+10x+25+8-25=0

(x+5)^2+8-25=0

(x+5)^2-17=0

Adding 17 in both sides  

(x+5)^2=17  

taking square root

x+5=√(17)

So,

x=√(17)-5 and x = -√(17)-5  .. Answer

Hope it will help :)

Answer:

Step-by-step explanation:

X² + 10x = -8

add to both side the square of half the coefficient of X which is 5²

X² + 10x + (10/2)² = -8 + (10/2)²

X² + 5² = -8 + 5²

( X + 5 )² = -8 + 25

(X + 5)² = 17

X + 5 = +- √17

Therefore, X = -5 +- √17.

X = -5 + √17 , -5 - √17.

Which answer describes the simpler problems that could be used to solve this story problem? Emily paid a total of $109.95 for 4 pairs of sandals and a pair of boots. Each pair of sandals cost the same amount. The pair of boots cost $29.99. How much did 1 pair of sandals cost?

A.
Subtract the cost of the boots from the total cost. Divide that answer by 4.

B.
Add the cost of the sandals and the cost of the boots. Divide the sum by 4.

C.
Multiply the total cost by 4. Subtract the cost of the boots.

D.
Divide the total cost by 4. Add the cost of the boots.

Answers

A. Take out the cost of the boots since you know how much they are. Then divide by 4 since the 4 sandals cost the same to figure out how much 1 pair of sandals is. :)

A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire a batch of 10 pots?The expression is 3p. It takes 30 minutes to shape and fire 10 pots.

The expression is 3p − 10. It takes 20 minutes to shape and fire 10 pots.

The expression is 3(p + 10). It takes 60 minutes to shape and fire 10 pots.

The expression is 3p + 10. It takes 40 minutes to shape and fire 10 pots.

Answers

3p + 10 (40 minutes)
3p+10. 3 minutes per pot to shape it. Time taken to shape all p pots is 3p. Then it takes 10 minutes to fire the batch. 

If you have a 1 in a thousand chance of winning $400, but 999 out of a thousand times you win nothing, what is your expected payoff​

Answers

Answer:$0.4

Step-by-step explanation:

Let P_(w) be the probability of winning.

Let P_(l) be the probability of loosing.

Given that we win once in thousand times.

So,P_(w)=(1)/(1000)

Since P_(w)+P_(l)=1

P_(l)=1-P_(w)=1-(1)/(1000)=(999)/(1000)

Since we win noting if we loose,

expected payoff is product of probability of winning and the prize.

Let pr be the prize.

Given,pr=400

Expected payoff is pr* P_(w)=400* (1)/(1000) =0.4

So,$0.4 is the expected payoff each time.

Answer:

$0.4

Step-by-step explanation:

mary jo decided to solve the equation 3x-2=-x-6 by entering each of the exppressions into her graphing calculator. to solve the equation as a system, she entered y=3x-2 and y= -x-6. when she used the calculator to find the intersection, she found x=-1 and y=-5. is she right? if so show how she is correct

Answers

3x-2=-x-6

3x+x=2-6

4x=-4

x=-4/4=-1

y=3*(-1)-2=-3-2=-5

y=-(-1)-6=1-6=-5


She is right.

Answer: Yes she is correct.

Explanation:

y=3*(-1)-2\ny=-3-2\ny=-5

y=-5

3x-2=-x-6\n+2.      +2\n3x.  = -x-4\n+x.     +x\n4x= -4\nx = -1

x= -1

Area of a square with sides of length 1/3 yard

Answers

1/3 yard = 1 foot
area = base X high 
In a square all sides are congruent
1 X 1= 1
Area = 1 foot or 1/3 yard  

Answer:

Teenagers can be depended on to make their own decisions because they've spent their whole lives learning how to be responsible. Highschool students in particular have always been in that position of making hard decisions for themselves. Older teenagers (16 and 17) mostly have jobs too, and in order to be hired, they have to be able to think for themselves.Teenagers can be depended on to make their own decisions because they've spent their whole lives learning how to be responsible. Highschool students in particular have always been in that position of making hard decisions for themselves. Older teenagers (16 and 17) mostly have jobs too, and in order to be hired, they have to be able to think for themselves.

Explanation:Teenagers can be depended on to make their own decisions because they've spent their whole lives learning how to be responsible. Highschool students in particular have always been in that position of making hard decisions for themselves. Older teenagers (16 and 17) mostly have jobs too, and in order to be hired, they have to be able to think for themselves.Teenagers can be depended on to make their own decisions because they've spent their whole lives learning how to be responsible. Highschool students in particular have always been in that position of making hard decisions for themselves. Older teenagers (16 and 17) mostly have jobs too, and in order to be hired, they have to be able to think for themselves.Teenagers can be depended on to make their own decisions because they've spent their whole lives learning how to be responsible. Highschool students in particular have always been in that position of making hard decisions for themselves. Older teenagers (16 and 17) mostly have jobs too, and in order to be hired, they have to be able to think for themselves.Teenagers can be depended on to make their own decisions because they've spent their whole lives learning how to be responsible. Highschool students in particular have always been in that position of making hard decisions for themselves. Older teenagers (16 and 17) mostly have jobs too, and in order to be hired, they have to be able to think for themselves.Teenagers can be depended on to make their own decisions because they've spent their whole lives learning how to be responsible. Highschool students in particular have always been in that position of making hard decisions for themselves. Older teenagers (16 and 17) mostly have jobs too, and in order to be hired, they have to be able to think for themselves.Teenagers can be depended on to make their own decisions because they've spent their whole lives learning how to be responsible. Highschool students in particular have always been in that position of making hard decisions for themselves. Older teenagers (16 and 17) mostly have jobs too, and in order to be hired, they have to be able to think for themselves.Teenagers can be depended on to make their own decisions because they've spent their whole lives learning how to be responsible. Highschool students in particular have always been in that position of making hard decisions for themselves. Older teenagers (16 and 17) mostly have jobs too, and in order to be hired, they have to be able to think for themselves.Teenagers can be depended on to make their own decisions because they've spent their whole lives learning how to be responsible. Highschool students in particular have always been in that position of making hard decisions for themselves. Older teenagers (16 and 17) mostly have jobs too, and in order to be hired, they have to be able to think for themselves.Teenagers can be depended on to make their own decisions because they've spent their whole lives learning how to be responsible. Highschool students in particular have always been in that position of making hard decisions for themselves. Older teenagers (16 and 17) mostly have jobs too, and in order to be hired, they have to be able to think for themselves.Teenagers can be depended on to make their own decisions because they've spent their whole lives learning how to be responsible. Highschool students in particular have always been in that position of making hard decisions for themselves. Older teenagers (16 and 17) mostly have jobs too, and in order to be hired, they have to be able to think for themselves.Teenagers can be depended on to make their own decisions because they've spent their whole lives learning how to be responsible. Highschool students in particular have always been in that position of making hard decisions for themselves. Older teenagers  be able to think for themselves.

Step-by-step explanation: