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Lunna [17]
3 years ago
10

Jude is placing boxes on a shelf that holds no more than 80 lb. He has x small boxes that weigh 5 lb each and y large boxes that

weigh 12 lb each. Jude needs at least 4 small boxes on the shelf. Which inequalities model the situation? Choose exactly two answers that are correct.
it was a and d btw for future helping
Choose exactly two answers that are correct. Question 12 options:5x + 12y ≤ 805x + 12y < 80x > 4 and y > 0x ≥ 4 and y  ≥ 0
Mathematics
1 answer:
Rashid [163]3 years ago
5 0
The term "no more than" implies "less than or equal to" in an equality.
Therefore, the inequality is:
5x + 12y ≤ 80
Given that he wants at least 4 small boxes on the shelf, x ≥ 4
so x ≥ 4 and y ≥ 0
You might be interested in
A circular room at an office has a diameter of 96 feet. What is the area of the floor in the room? Use 3.14 to approximate pi. R
tia_tia [17]
The area of the floor in the room would be 7,234.56 feet. This is found by multiplying 3.14 by the radius (48) squared, or (3.14)(48)^2=7,234.56.
5 0
3 years ago
HELP ME PLEASE!!!!!!
Deffense [45]

9514 1404 393

Answer:

  -2x +4

Step-by-step explanation:

We can write the polynomial p(x) in terms of the factors (x+2) and (x-3) as ...

  p(x) = (x+2)(x-3)q(x) +ax +b

Where ax+b is the remainder from division by x^2 -x -6 = (x+2)(x-3). The values of 'a' and 'b' can be found from ...

  p(-2) = 8 = -2a +b

  p(3) = -2 = 3a +b

Subtracting the first equation from the second gives ...

  (3a +b) -(-2a +b) = (-2) -(8)

  5a = -10

  a = -2

Then the first equation tells us ...

  8 = -2(-2) +b

  4 = b

So, the remainder from division by (x^2 -x -6) is (-2x +4).

5 0
2 years ago
Please help me i don’t understand this.
Sveta_85 [38]

Answer:

3x6

(3)(6)

6+6+6

for represent the situation

Step-by-step explanation:

the dining room has 3 tables

and at each table there are 6 chairs so multiplication is the operation to use to find the total

therefore the other operations do not represent the situation

but 6+6+6 represents because it is also equal to 18

5 0
3 years ago
What is the volume, in cubic centimeters, of a cylinder with a height of 5 centimeters and a base radius of 10 centimeters, to t
stealth61 [152]

Answer:

The volume of the cylinder is <em>approximately</em> 1570.8 cm³.

General Formulas and Concepts:
<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Geometry</u>

Volume Formula [Cylinder]:
\displaystyle V = \pi r^2 h

  • <em>r</em> is radius
  • <em>h</em> is height

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify given variables</em>.

<em>h</em> = 5 cm

<em>r</em> = 10 cm

<u>Step 2: Find Volume</u>

  1. [Volume Formula - Cylinder] <em>Substitute</em> in variables:
    \displaystyle V = \pi (10 \ \text{cm})^2 (5 \ \text{cm})
  2. [Order of Operations] Evaluate:
    \displaystyle V = 500 \pi \ \text{cm}^3
  3. Approximate:
    \displaystyle V \approx \boxed{ 1570.8 \ \text{cm}^3 }

∴ the volume of a cylinder whose height is 5 cm and radius is 10 cm is <em>approximately</em> 1570.8 cm³.

___

Learn more about Geometry: brainly.com/question/9774838

___

Topic: Geometry

3 0
2 years ago
The fraction 3 over 8 is equivalent to what percent?
kirill115 [55]
Answer: 37.5
Steps right it as a decimal:0.375
Calculate: 37.5/100
Solution:37.5
7 0
3 years ago
Read 2 more answers
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