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telo118 [61]
3 years ago
10

The length of a rectangle is 12 in. and the perimeter is 56 in. Find the width of the rectangle.

Mathematics
1 answer:
yuradex [85]3 years ago
7 0

Answer:

W = 16 in

Step-by-step explanation:

P = 2L + 2W

56 = 2(12) + 2W

56 = 24 + 2W

56-24 = 2W

32 = 2W

W = 32/2

W = 16 in

Best regards

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What is the vertex of the absolute value function defined by f(x)=|x+5|+7?
irina1246 [14]

The vertex of the function f(x) = |x - a| is in (a, 0).

f(x) + a - shift the graph of function f(x) a units up.

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All parallelograms are rectangles.
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That statement is FALSE

Step-by-step explanation:

It is true that every rectangle is a parallelogram, but it is not true that every parallelogram is not a rectangle. For instance, take a square. It's a parallelogram — it is a quadrilateral with two pairs of parallel faces. But it is also a rectangle — it is a quadrilateral with four right angles.

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Sally is going to the store to buy chocolate chip cookies for the class party. She sees a 16 oz. bag of cookies for $5.99 and a
Alex17521 [72]

Answer:

The 16 oz. bag for $5.99 is the better deal.

Step-by-step explanation:

We need to find the unit rate.

So a 16 oz. bag for $5.99, and a 22 oz. bag for $6.25.

All we need to do is divided the ounces by the prices.

16 divided by 5.99 is 2.67111853, rounded it's 2.70.

And 22 divided by 6.25 is 3.52

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2 years ago
Roger is paid $50 to sell videos of a play to an audience after the play is performed.
emmasim [6.3K]
<h3>Answer: Choice A</h3>

The set of all even integers greater than or equal to 50 and less than or equal to 510

In other words, 0 \le E \le 510 where E is an even integer.

===========================================================

Explanation:

The domain is the set of allowed inputs, while the range is the set of allowed outputs. For now, let's focus on the domain.

In this case, the domain is the set of integers between 0 and 230. We're dealing with the set {0,1,2,..., 229, 230} to represent the possible number of people who bought the video.

Let's plug in the smallest item from the domain (v = 0).

E = 50+2v

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This matches with the fact Roger gets paid $50 even if he didn't sell anything. This is the flat up front fee he got.

Now let's plug in the largest value for v (230).

E = 50+2v

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So we can see that the range of E values spans from $0 to $510.

Furthermore, notice that 2 can be factored from 50+2v to get 2(25+v). This shows that the expression 50+2v is always even. Therefore, we must clarify that we're dealing with the set of even numbers between 0 and 510

In symbolic form, we'd say 0\le E \le 510 where E is an even integer.

In roster form, the range of possible E values is {0, 2, 4, ..., 506, 508, 510}.

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3 years ago
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