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2 years ago

Here is a picture of it Thank you!

Mathematics

2 answers:

bulgar [2K]2 years ago

7 0

Answer:

[see below]

Step-by-step explanation:

Question 1:

"At most" means implies "Less than or equal to".

The number can be at most 12, which means it can't be over 12.

Option 1 should be the correct answer.

Question 2:

"At least" implies "more than or equal to".

The grade would have to be 90 or above for you to go to Disney.

x ≥ 90

Question 3:

As mentioned in question 1, at most means less than or equal to. ''

You can bring no more than 3 friends to Disney.

So options A, B, and C should be correct.

Hope this helps!

Marina86 [1]2 years ago

4 0

"At most 12" means "the highest we can go is 12". Think of it as the ceiling. So x can equal 12 or it can be smaller. This means $x \le 12$

<h3>Answer: Choice A</h3>

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(ii) Sketch a diagram to help us visualize the problem

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Given: x represents the length of the pen and y represents the area of the doghouse

<u>Statement 1: </u>"The pen is 3 feet wider than it is long"

$Length \; of\; the \; pen = x\\ Width \; of\; the\; pen=x+3$

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<u>Statement 2: "He also built a doghouse to put in the pen which has a perimeter that is equal to the area of its base"</u>

$Area \; of\; the\; Dog \; house=y\\ Perimeter \; of\; Dog\; house=y$

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<u>Statement 3: "After putting the doghouse in the pen, he calculates that the dog will have 178 square feet of space to run around inside the pen."</u>

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<u>Statement 4: "The perimeter of the pen is 3 times greater than the perimeter of the doghouse."</u>

$Perimeter\; of\; the\; Pen=3\; \cdot \; Perimeter\; of\; the\; Dog\; House\\ \\ 2(x \; + \; x+3)=3 \cdot y\\ Combine\; like\; terms\; inside\; the\; parenthesis\\ \\ 2(2x+3)=3y\\ Distribute\; 2\; in\; the\; left\; side\; of\; the\; equation\\ \\ 4x+6=3y\\ Subtract \; 6\; and \; 3y\; on\; both\; sides\; of\; the\; equation\\ \\ 4x+6-3y-6=3y-3y-6\\ Combine\; like\; terms\\ \\ 4x-3y=-6 \Rightarrow \; \; 2^{nd}\; Equation\\$