1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
garik1379 [7]
3 years ago
6

Can someone help with question 3

Mathematics
1 answer:
kirza4 [7]3 years ago
4 0

Answer:

This is what you have to explain:

With 5n, you are multiplying a number and a variable.

With 5 + n, you are adding a number and a variable.

You might be interested in
Another question this math is not my favorite ? Struggling but son what understanding it . Help please
Evgen [1.6K]
12/3= 4 <-- This equation shows that one box will benefit 4 children.
24/4=6 <-- This equation shows how many boxes will benefit 24 children.

Therefore, Raymond should buy 6 boxes.
5 0
3 years ago
Jeremy wants to construct an open box from an 18-inch square piece of aluminum. He plans to cut equal squares, with sides of x i
serious [3.7K]

a.

The volume of the box V = 4x³ - 72x² + 324x

Since the dimensions of the square piece of paper are 18 inches each, and we cut out a length x from each side to give a total length of 2x cut from each side. So, each dimension is L = 18 - 2x.

Since the height of the open box is x and its base is a square, the volume of the open box ix V = L²x

= (18 - 2x)²x

= (324 - 72x + 4x²)x

= 324x - 72x² + 4x³

The volume of the box V = 4x³ - 72x² + 324x

b.

The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.

  • the length of the box, L = 12 inches,
  • the width of the box = 12 inches
  • and the height of the box, x = 3 inches.

Since the volume of the box is 432 cubic inches,

V = 324x - 72x² + 4x³

324x - 72x² + 4x³ = 432

4x³  - 72x² + 324x - 432 = 0

x³  - 18x² + 81x - 108 = 0

A factor of the expression is x - 3

So, x³  - 18x² + 81x - 108 ÷ x - 3 = x² - 15x + 36

So,  x³  - 18x² + 81x - 108 = (x² - 15x + 36)(x - 3) = 0

Factorizing the expression x² - 15x + 36 = 0

x² - 3x - 12x + 36 = 0

x(x - 3) - 12(x - 3) = 0

(x - 3)(x - 12) = 0

So,  x³  - 18x² + 81x - 108 = (x - 3)(x - 3)(x - 12) = 0

So, (x - 3)²(x - 12) = 0

(x - 3)² = 0 and (x - 12) = 0

x - 3 = √0 and x - 12 = 0

x - 3 = 0 and x - 12 = 0

x = 3 twice and x = 12

Since x = 3 is the minimum value, the minimum value of x = 3.

Since the length of the box, L = 18 - 2x

= 18 - 2(3)

= 18 - 6

= 12 inches

The width of the box = L = 12 inches

The height of the box = x = 3 inches.

So,

The minimum value of length of the sides of the squares cut from each corner is x = 3 inches.

  • the length of the box, L = 12 inches,
  • the width of the box = 12 inches
  • and the height of the box, x = 3 inches.

Learn more about volume of a box here:

brainly.com/question/13309609

6 0
2 years ago
2x + 5y + 7x equals
lesya692 [45]
2x + 5y + 7x

---

Combine like terms
(2x + 7x)

---

9x + 5y
5 0
3 years ago
Read 2 more answers
A tent is in the shape of a triangular prism. The front and back are isosceles triangles with base 6 feet and height 4 feet. The
Pani-rosa [81]
It would be 6+4, which equals 10. Then, subtract 104 ft minus 10 to get 94 ft in depth.
5 0
3 years ago
Read 2 more answers
Corinne has a job selling magazines. She earns $7.50 per hour plus 20% of the total amount of her sales. She also gets an allowa
ra1l [238]
Earnings=20% of sales+7.5h+40

coeficinets are 7.5 and 0.2
vraiables are h and s
constant is 40

B. if h=25 and s=30 input,
7.5*25+0.2*300+40=$287.50


C
new equation is 9h+0.2s+40
coefienct woud be 9 and 0.2
variable is h and s
constant is 4

7 0
3 years ago
Other questions:
  • PLEASE HELP!! 20 POINTS PLUS BRAINLIEST IF YOURE RIGHT!!
    6·1 answer
  • A triangle has sides that measure 4 units, 6 units, and 7.21 units. What is the area of a circle with a circumference that equal
    13·1 answer
  • The lengths of the legs of a right triangle are 7 in. and 2 in.
    8·1 answer
  • Which graph shows a negative rate of change for the interval 0 to 2 on the x-axis?
    7·1 answer
  • I need help emergrncy shots fire shots fire we neeed all back ups
    6·1 answer
  • Find the sum of all interior angles of a polygon with 9​
    12·1 answer
  • Help now!!! Due at midnight
    15·2 answers
  • Help please will give brainiest
    13·1 answer
  • What is the sum of -4r +1 and 6x - 5 ?
    8·1 answer
  • A chemist has three different acid solutions.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!