MATHEMATICS MIDDLE SCHOOL

X(b+c)+3b+3c write the expression as a product of polynomials:

Answers

Answer 1

Answer:

Answer:

look at the picture above shown

Answer 2

Answer:

(b+c)(X+3)

Step-by-step explanation:

X(b+c)+3b+3c

X(b+c)+3(b+c)

(b+c)(X+3)

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I need help with thisA DVD movie sells for $29 and the sales tax is 5.5%. What is the total cost of the movie to the nearest penny? Show your work to earn credit.

Answers

29×5.5=159.5 slide the decimal 2 places to the left, so you get 1.595. That rounds up to $1.60. So $29.00+$1.60=$30.60

first you turn the tax percent into a decimal, then multiply by 29 dollars.
the answer you get from multiplying you will add that to 29 $

luke can run a mile in 7 minutes. colleen can run a mile in 5 minutes. at this rate, how much longer would it take luke to run 11 miles than it would take colleen to run 11 miles?

Answers

Speed of a object is defined as the total distance covered in the total time taken. To run 11 miles Luke take 22 minutes longer than the colleen to run 11 miles.

Given information-

Luke can run a mile in 7 minutes.

Colleen can run a mile in 5 minutes.

What is speed?

Speed of a object is defined as the total distance covered in the total time taken. Speed is the ratio of the distance $d$ to the time taken $t$ . Thus,

$s=(d)/(t)$

As Luke can run 1 mile in 7 minutes. Thus the speed of the Luke is,

$s_l=(1)/(7)$

Thus the speed of the Luke is 1/7 miles per minute.

As Colleen can run 1 mile in 5 minutes. Thus the speed of the Colleen is,

$s_c=(1)/(5)$

Thus the speed of the Luke is 1/5 miles per minute.

The total time taken by the Luke to cover the 11 miles with the speed of 1/7 miles per minute is,

$(1)/(7) =(11)/(t)$

Solve for $t$

$t=11* 7}\nt=77$

Hence, the total time taken by Luke to run 11 miles is 77 minutes.

The total time taken by the Colleen to cover the 11 miles with the speed of 1/5 miles per minute is,

$(1)/(5) =(11)/(t)$

Solve for $t$

$t=11* 5}\nt=55$

Hence, the total time taken by Colleen to run 11 miles is 55 minutes.

Extra time taken by Luke to cover 11 miles than Colleen is,

$t=77-55=22$

Hence to run 11 miles Luke take 22 minutes longer than the colleen to run 11 miles.

Learn more about the speed here;

brainly.com/question/2292310

22 because 7 minutes per mile in 11 miles would be 77 minutes, and 5 minutes per mile in 11 miles would be 55 minutes. Therefore it takes Luke 22 more minutes than it takes Colleen to run the mile.

The angular velocity of a point with radius 8 feet is 10 pi radians per second. Find the speed of the point.0.8pi ft/sec
1.25pi ft/sec
80pi ft/sec

Answers

Answer:

80π feet/ second.

Step-by-step explanation:

Angular velocity of a point = 10π radians per second

Radius of the circle is 8 feet.

We know the formula of angular velocity is

Angular velocity = $(speed)/(radius)$

10π = $(speed)/(8)$

Speed = 80π feet/ second.

Option C is the answer.

Answer: $80\pi\text{ ft/sec}$

Step-by-step explanation:

Formula : $\text{Speed= Angular velocity x Radius}$ (1)

We are given that , The angular velocity of a point with radius 8 feet is 10 pi radians per second.

i.e. Radius = 8 feet

Angular velocity = $10\pi$ radians per second.

Then, the speed of the point will be :-

$\text{Speed= }10\pi * 8$ [using (1)]

$=80\pi\text{ ft/sec}$

Hence, the speed of the point $=80\pi\text{ ft/sec}$

candy weighs a pumpkin at 12.23 pounds. if she splits it into four pieces, how much would each piece weigh ?

Answers

the anwser is 3.0575.because 12.32 ÷4 equals 3.0575

Hi there, we divide 12.23 by 4. 12.23÷4=3.0575, So, each piece would weigh 3.0575

So the law of order and the law of grouping apply to division

Answers

It depends on what you are grouping

Antonio is standing on a at the edge of a canyon. He yells loudly and hears an echo 1.2 s later. How far away is the other side of the canyon? You may assume the speed of sound is 340 m/s.Russell is watching a thunderstorm. He hears the thunder 5 s after seeing a flash of lightning. How far away was the lightning?

Answers

Answer:

204 m
1700 m

Step-by-step explanation:

a) In 1.2 seconds, sound will travel a distance of ...

(1.2 s)(340 m/s) = 408 m

This is the round-trip distance, so the reflecting surface is half that distance away.

The other side of the canyon is 204 m away.

b) In 5 seconds, the sound will travel a distance of ...

(5 s)(340 m/s) = 1700 m

This is the one-way distance, so the lightning is about 1700 m away.

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