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Assoli18 [71]
3 years ago
12

Write an algebraic expression for the perimeter of a rectangular garden with a width of 3 feet and a length of 2y feet. Simplify

your expression and find the perimeter of the garden if y=6. Draw a model and show your work.
Mathematics
1 answer:
frutty [35]3 years ago
8 0

Answer:

i. P=4y+6

ii. P=30\:ft

Step-by-step explanation:

The given rectangular garden has width, w=3ft and length, l=2y\:ft.

The perimeter of a rectangle is calculated using the formula;

P=2l+2w

We substitute the given dimensions into the formula to get;

P=2(2y)+2(3)

\Rightarrow P=4y+6

We substitute;

y=6 to obtain;

\Rightarrow P=4(6)+6

Simplify;

\Rightarrow P=24+6

\Rightarrow P=30ft

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What is the percent of 840 is 546
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4 0
3 years ago
Which expression is equivalent to 36/(4 + y)?
I am Lyosha [343]

Answer:

B) 36/(y+4)

Step-by-step explanation:

Use the process of elimination.

A cannot work because we are changing the operation. Instead of dividing thirty-six by the sum of four and a number, we are dividing thirty-six by four, then adding the unknown number. This is not the same as the original expression, so we know it is not this.

Next, check C. C doesn't seem right either. Remember that, unlike multiplication and addition, you cannot flip the order in which the operation is being done and still get the same answer. C says four plus a number divided by thirty-six, which is entirely different from our original expression. So the answer is not C.

And finally, check D. D doesn't work either. With D, we are dividing thirty-six by a number, then adding it to thirty-six divided by four. This is not the same as our original expression, so D isn't it.

That leaves us with B. Does it work? Yes, because changing the y and the four still will give the same thing. And yes, because 36 is being divided by the sum of that number and four. So it is our answer.

8 0
2 years ago
Let sets A and B be defined as follows.
VashaNatasha [74]
<h3>Given</h3>

  • Set A: A = {-26, -25, -24, -23, - 22, - 21}
  • Set B: B ∈ {x: x is even, x ≥ 6 and x ≤ 20}

<h3>(a) </h3>

<em />

<em>Cardinality means the number of elements in the set.</em>

Cardinality of the set A:

n(A) = 6, since we can count 6 elements.

Set B has even numbers between 6 and 20, both included:

  • B = {6, 8, 10, 12, 14, 16, 18, 20}

Then its cardinality is:

  • n(B) = 8

<h3>(b) </h3>

To solve this we need to compare the elements of sets A or B with numbers given:

  • -22 ∈ A, True       ⇒  -22 is listed as element of A
  • 6 ∈ B, True          ⇒  6 is listed as element of B
  • - 21 ∉ A, False     ⇒  - 21 is listed as element of A
  • 2 ∈ B, False         ⇒  2 is not listed as element of B
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2 years ago
What is the vertex of the parabola given by = -(x-2)^2-1?
weqwewe [10]
Rewrite the parabola in standard form and use this formula to find the vertex (h,k).
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