MATHEMATICS
HIGH SCHOOL

Answer: This algebra lesson explains geometric series. ... To find the sum of the first n terms of a geometric sequence: Sn = the summation of ... 5 , -10 , 20 , -40 , 80 , .

MIDDLE SCHOOL

So far this year, a company has sold 8.28×10^5 tablet computers. How many more tablets must the company sell for it's tablet sales to reach 1 million this year? Explain how you solved this problem

So far this year, a company has sold 8.28×10^5 tablet computers. How many more tablets must the company sell for it's tablet sales to reach 1 million thisyear? Explain how you solved this problem

The standard form of 8.28 × 105 is 828,000. Subtract this number from 1 million: 1,000,000 - 828,000 = 172,000.

Answer: 172,000 or 1.72 × 105

The standard form of 8.28 × 105 is 828,000. Subtract this number from 1 million: 1,000,000 - 828,000 = 172,000.

Answer: 172,000 or 1.72 × 105

MIDDLE SCHOOL

a right triangle has legs measuring 4.5 meters and 1.5 meters the lengths of the legs of a second triangle are proportional to the lengths of the legs of the first triangle which could be the lengths of the legs of the second tiangle please answer i really need help in this question thanks

One approach that might be a great help would be if you would look

at the choices ... those things at the bottom of the question that you

didn't give us.

-- One leg is 3 times the length of the other leg.

-- Any right triangle that has one leg three times as long as the other

leg is similar to this triangle.

I'll bet that if you look through the choices, you'll find one there.

Since they are proportional, it doesn't make much of a difference.

HIGH SCHOOL

Need Help ASAP!!! Solve the system by elimination.

-2x+2y+3z=0

-2x-y+z=-3

2x+3y+3z=5

Answer:

The answer to your question is:

x = 1

y = 1

z = 0

Step-by-step explanation:

-2x + 2y + 3z = 0 (1)

-2x - y + z = -3 (2)

2x + 3y + 3z = 5 (3)

Solve (1) and (2)

Multiply 2 by 2

-2x + 2y + 3z = 0

-4x -2y + 2z = -6

-6x + 5 z = -6 (4)

Solve (2) and (3)

Multiply 2 by 3

-6x - 3y + 3z = -9

2x + 3y + 3z = 5

-4x + 6z = -4 (5)

Solve (4) and (5)

Multiply (4) by 2 and (5) by -3

-12x + 10 z = -12

12x - 18z = 12

-6z = 0

z = 0

Then

-4x + 6(0) = -4

-4x = -4

x = -4/-4

x = 1

Finally

-2(1) - y + (0) = -3

-2 - y = -3

-y = -3 + 2

y = 1

Answer:

Steps:

isolate " x " for -2x + 2y + 3z = 0 ; x = - ( - 3z - 2y ) / 2

Subsititute : x = - ( - 3z - 2y ) / 2

- 2 * ( - ( - 3z - 2y ) / 2 ) - y + z = - 3

2 * ( - ( - 3z - 2y ) / 2 ) + 3y + 3z =5

isolate " z " for : - 2 ( - ( - 3z - 2y ) / 2 ) - y+ z = - 3 ; z = - ( - 3 + 3y / 2 )

subsititute z = - ( - 3 + 3y / 2 ) :

2* ( - ( -3* ( - ( - 3 +3y / 2 ) - 2y / 2 ) + 3y + 3 ( - ( - 3 + 3y / 2 ) = 5

isolate y for 2 ( -( - 3 ) - 3 + 3y / 2 ) - 2y / 2 ) + 3y + 3 ( - ( - 3 + 3y / 2 ) = 5

y = 1

for z = - ( - 3+ 3y ) / 2

subsititute y = 1

z = - ( - 3 + 3 * 1 ) / 2

z = 0

For x = - ( - 3z - 2y ) / 2

subsititute y = 1

subsititute z = 0

x = - ( - 3 *0 - 2 * 1 ) / 2

x = 1

x = 1 , y = 1 , z = 0

HIGH SCHOOL

A bag contains two red marbles and five blue marbles. you draw a marble, record its color, replace it, and then draw a second marble. what is the probability that you draw a blue marble at least once? a.0.28

b.0.49

c.0.71

d.0.92

2+5 = 5 total marbles

5 are blue so you have a 5/7 chance of picking blue each time

5/7 = 0.714 rounded to 0.71

Answer: d. 0.92

Step-by-step explanation:

Given : Number of blue marbles in bag = 5

Number of red marbles in the bag = 2

Total marbles in bag= 5+2=7

Since, we draw a marble, record its color, replace it, and then draw a second marble.

It means every outcome is independent of each other.

Now, the probability that you draw a blue marble at least once = 1- P(no blue marble drawn)

=

Hence, the probability that you draw a blue marble at least once= 0.92

Hence, the correct answer is d. 0.92 .

MIDDLE SCHOOL

You get paid 20 dollars for 4 hours of work what is your hourly rate?

To find the hourly rate you would divide . 20 dollars/4 hours gives you $5 per hour

5$ an hour 5 dollars x 4 hours = 20 dollars

MIDDLE SCHOOL

Rita’s class begins social studies at ten minutes before one in the afternoon. At what time does Rita’s class begin social

studies? Circle a time that makes the sentence true.

Rita’s class begins social studies at

1:10 a.m.

1:10 p.m.

12:50 a.m.

12:50 p.m

12:50 p.m, I hope this helped

12:50 a.m because “afternoon” means p.m and if you subtract 1:00 (afternoon starting time) by 10 or go back 10 minutes you would get 12:50 A.M

MIDDLE SCHOOL

You can answer only this question, it's ok: 1)What would be the measurement of the smaller angle between the minute hand and the hour hand of a clock when the time is 4:40??

A: 100

B: 120

C: 140

D: 160

E: 180

Optional question:

2)Which equation will produce a line that will pass through the point (0, 0)?

A: x=2y+5

B: x=y-3

C: x=4y

D: x= 7y-2

E: x=y+x/3+20

1)100 or A

Angle = |30*H - (11/2)*M|, where H is the hours hand and M is the minutes hand

in this case: H = 4, M= 40

30*4 - (11/2)*40 = 120 - 220 = -100 = |-100| = 100

2)x=4y or C

If you plug in 0,0 you will get 0=4×0 or 0,0

Angle = |30*H - (11/2)*M|, where H is the hours hand and M is the minutes hand

in this case: H = 4, M= 40

30*4 - (11/2)*40 = 120 - 220 = -100 = |-100| = 100

2)x=4y or C

If you plug in 0,0 you will get 0=4×0 or 0,0

HIGH SCHOOL

which property is illustrated by the equation below (r+s)+t=r+(s+t). A)Associative B)Commutative C)Distributive D)Identity

The associative property of addition is being demonstrated here. The parenthesis are moved around to "associate" or "group" the values into two different pairs.

Note: the associative property of multiplication is very similar and it is

a*(b*c) = (a*b)*c

Note: the associative property of multiplication is very similar and it is

a*(b*c) = (a*b)*c

MIDDLE SCHOOL

The price of a cup of coffee was $2.40 yesterday. Today, the price rose to $2.65. Round your answer to the nearest tenth of a percent

To find the percent increase you need to first find how much the price went up: 2.65 - 2.4 = .25 Now divide .25 by the original price.