Answer:
1856
Step-by-step explanation:
Each carton contains 32bottles
58 cartons were sold
Meaning 58 cartons contains;
58x32=1856 bottles
QUESTION A
The given multiplication problem is

Factor each term to obtain;

Cancel out the common factors to obtain;

Simplify to get;

QUESTION B
The given multiplication problem is

This the same as

This simplifies to;

QUESTION C
The given problem is

This is the same as


This simplifies to

QUESTION D.
The given expression is

Factor the 54 to obtain;

Cancel the common factors to get;

This simplifies to;

QUESTION E
The given problem is

Convert the mixed numbers to improper fraction to obtain;


Cancel the common factors to get;


QUESTION F
The multiplication problem is

Convert the mixed numbers to improper fractions to obtain;

Cancel out the common factors to get;

Simplify;

QUESTION G
The given problem is

Convert to improper fractions;

Cancel out the common factors to get;


Convert back to mixed numbers

QUESTION H
The given expression is

Convert to improper fraction to get;

Cancel common factors to get;

Simplify

Convert back to mixed numbers;

The inequality that correctly represents this scenario is given as follows:

The graph is given at the end of the question.
<h3>What is a system of inequalities?</h3>
A system of inequalities is when two or more variables are related, and inequalities are built to find the values of each variable.
In this problem, the variables are given as follows:
- Variable x: number of chocolate chips purchased.
- Variable y: number of pecans sold.
Chocolate chips are $2 per pound and pecans are $5 per pound. She wants to spend at most $25, hence:

More can be learned about a system of inequalities at brainly.com/question/3656398
#SPJ1
Answer:
cot∅ = (-2√30)/7.
Step-by-step explanation:
Given the value of csc∅ = -13/7 and ∅ is in quad III.
We know y = r sin∅ and r > 0. So csc∅ = r/y = -13/7 = 13/(-7).
It means y = -7, r = 13.
We know x² + y² = r².
x² = r² - y²
x² = (13)² - (-7)² = 169 - 49 = 120.
x = √120 = 2√30.
we know cot∅ = x/y = (2√30)/(-7) = (-2√30)/7.
Hence, cot∅ = (-2√30)/7.
It's c 18, because the diameter is the longest chord so it would be greater than 15.