Answer:
9
Step-by-step explanation:
First, let's list the lengths of the sides in descending order.
Lengths of sides of quadrilateral ABCD: 20, 18, 14, a
Lengths of sides of quadrilateral EFGH: b, c, 6, 5
From the listings above, we see that he sides measuring 14 and 6 are corresponding.
We are looking for c which corresponds to 18.
14 is to 6 is as 18 is to c
14/6 = 18/c
7/3 = 18/c
7c = 3 * 18
7c = 54
c = 54/7 = 7 5/7
Answer: 7 5/7 feet
I will mark brainlist please help
Story : A Dog’s Tale by Mark Twain
4. Read this sentence from the selection.
“Whenever she heard a large word she said it over to herself many times, and so was able to keep it until there was a dogmatic gathering in the neighborhood.”
In this sentence the word dogmatic is used as —
• an insightful simile
• a descriptive metaphor
• a humorous play on words
• an illuminating allusion
5. In the last paragraph the narrator says his mother would “fetch out a long word.” The connotations of the word fetch remind the reader that the narrator’s mother —
• is well educated
• is a dog
• knows lots of big words
• likes to show off
8. What is ironic about the author’s mother showing off with her knowledge of the word unintellectual?
• Her child knew she didn’t understand the word correctly.
• The strangers all already knew the meaning of the word.
• As any intellectual would know, the word should be “nonintellectual.”
• She did not know any synonyms for the word.
9. Which type of person is most like the author’s mother?
• A high-performing student with an excellent memory for words
• A very verbal person who always has a quick answer that sounds good
• A dishonest person who tells lies on a regular basis
• A person who likes dogs a lot and works at a veterinary clinic
I think if I do this correctly, the answer is x<-1
Answer:
The maximum profit is when they make 10 units of A and 2 units of B.
Step-by-step explanation:
Let x is units of milk
Let y units of cacao
Given that :
The company's production plant has a total of 22 units of milk and 46 units of cacao available.
2x + y ≤ 22 (2 unit of milk for each of A and 1 for B; 22 units available)
4x + 3y ≤46 (4 unit of milk for each of A and 3 for B; 46 units available
Graph the constraint equations and find the point of intersection to determine the feasibility region.
The intersection point (algebraically, or from the graph) is (10, 2)
The objective function for the problem is the total profit, which is $6.2 per unit for A and $4.2 per unit for B: 6.2x + 4.2y.
Hence, we substitute (10, 2) into the above function:
6.2*10 + 4.2*2 = 70.4
The maximum profit is when they make 10 units of A and 2 units of B.
