All categories

3 years ago

The dimensions of a rectangle are x+4 and 3x-1. Write an expression to represent the area of the rectangle.

Mathematics

1 answer:

Yuri [45]3 years ago

5 0

Answer:

9x^4 - 6x^3 + 97x2 - 88x + 16

Step-by-step explanation:

so (x + 4)(x + 4) = x^2 + 8x + 16 is the total length of the rectangle, and

(3x - 1)(3x - 1) = 9x^2 - 6x + 1, if you multiply each other, because Area = length times width, then you get the area.

(9x^2 - 6x + 1)(x^2 + 8x + 16) = 9x^4 + 72x^2 + 144x^2 - 6x^3 - 48x^2 - 96x + x^2 + 8x + 16, and then you add them all together = 9x^4 - 6x^3 + 98x^2 - 96x + 8x + 16 = 9x^4 - 6x^3 + 97x2 - 88x + 16

You might be interested in

Part 6

Deffense [45]

Answer:

Part 1) The volume of each beam is $1,858.88\ ft^{3}$

Part 2) You can fill $26\ beams$

Part 3) Yes, the amount of sand left over is $1,669.12\ ft^{3}$

Step-by-step explanation:

Part 1) What is the total volume of each beam?

The volume of a cylinder is equal to

$V=\pi r^{2} h$

we have

$h=37\ ft$

$r=8/2=4\ ft$ ----> the radius is half the diameter

assume

$\pi=3.14$

substitute the values

$V=(3.14)(4)^{2} (37)$

$V=1,858.88\ ft^{3}$

Part 2) How many beams can you fill with this sand?

we know that

You are given a container with a 50,000 sq ft of sand for your beams

Note Is a 50,000 cubic foot of sand instead of 50,000 sq ft of sand

Divide the total volume of sand by the volume of each beam to obtain the number of beams

$50,000/1,858.88=26.9\ beams$

Round down

$26.9=26\ beams$

Part 3) Will you have any sand left over? If so how much?

yes

$50,000-26(1,858.88)=1,669.12\ ft^{3}$

7 0

3 years ago

No link or bot answer the question

kupik [55]

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

The Shady Farm Milk Company can process milk at a fixed rate of 7500 gallons/hour. The company’s clients request 100,000 gallons

WINSTONCH [101]

Answer:

70000 gallons

Step-by-step explanation:

The total time between 8 a.m. to 6 p.m is 10 hours. The company starts producing at 8 am, therefore the time from 8 am to noon (that is 12 p.m) is 4 hours.

Since clients demand 100,000 gallons of milk over the course of one day, the demand of milk per hour = total demand per day/ total time per day

Demand per hour = 100000 gallons / 10 hours = 10000 gallons per hour

Since the milk is processed at a fixed rate of 7500 gallons/hour, At noon the amount of of milk produced = 7500 gallons/hour × 4 hours = 30000 gallons.

The gallons of milk are in the queue to be processed at noon = 100000 gallons - 30000 gallons = 70000 gallons

4 0

3 years ago

Answer choices: 116 degrees 54 degrees 62 degrees 25 degrees

Mandarinka [93]

Answer:

62 is the answer

Step-by-step explanation:

3 0

3 years ago

Lucas and his brother, Max, went to the arcade yesterday. Lucas played 2 games of Rodeo Racing and 8 games of Polar Pinball. Max

Umnica [9.8K]

Answer:

Max

Step-by-step explanation:

Lucas played 2 Rodeo Racing:8 Polar pinball = 1:4 (Divide by 2)

Max played 3 Rodeo Racing:9 Polar pinball = 1:3 (Divide by 3)

1:3 is greater than 1:4 so this proves that Max has played the greater ration of Rodeo Racing to Polar Pinball.

8 0

3 years ago