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igor_vitrenko [27]
3 years ago
6

Need help plz ASAP! It’s due tomorrow! I will give branist

Mathematics
1 answer:
damaskus [11]3 years ago
4 0

<em>Study the Problem</em>

What is the cost of the wallpaper (in dollars per square foot)?

<em>Organize the Facts</em>

The wallpaper covers a rectangle 42 ft by 25.5 ft. It costs $771.12 for that area.

<em>Make a Plan</em>

To find dollars per square foot, we need to divide the dollar amount by the area in square feet. The area needs to be computed. It is the area of a rectangle, so can be found by multiplying length and width.

Plan: multiply length and width of the wall to find its area; divide the cost by that area to find dollars per square foot.

<em>Execute the Plan</em>

area = (42 ft)×(25.5 ft) = 1071 ft²

cost/area = $771.12/(1071 ft²) = $0.72/ft²

<em>Examine the Results</em>

The area is on the order of 40×25 = 1000 ft², and the cost is less than $1000, so the cost will be less than $1 per square foot. The answer is in the right ballpark. If we multiply it out, we should get the given cost:

... 0.72×42×25.5 = 771.12 . . . . agrees with given cost.

The cost of the wallpaper is $0.72 per square foot.

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Try finding the area of the box and the container
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3 years ago
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phineas has more jolly ranchers than alan. if alan has 10 jolly ranchers how many do they have in total
maxonik [38]

Answer:

We cannot know.

Step-by-step explanation:

It only mentions that Phineas has more jolly ranchers than Alan. Since Alan has 10 jolly ranchers, the number of jolly ranchers Phineas could have is 11, 12, 13, 14... and so on. Phineas could have 1 billion jolly ranchers.

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2 years ago
Factor completely 5x^2 + 20x
murzikaleks [220]

Answer: 5x(x + 4)

hope i helped

7 0
2 years ago
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Find the value of n so that the expression is a perfect square trinomial and then factor the trinomial.
Anna007 [38]

The correct expression is (a) n = 100; (x + 10)^2

<h3>How to determine the value of n?</h3>

The expression is given as:

x^2 + 20x + n

Take the coefficient of x

k = 20

Divide by 2

k/2= 10

Square both sides

(k/2)^2 = 100

The above value represents the value of n

i.e.

n = 100

So, we have:

x^2 + 20x + 100

Expand

x^2 + 10x + 10x + 100

Factorize

x(x + 10) + 10(x + 10)

Factor out x + 10

(x + 10)^2

Hence, the correct expression is (a) n = 100; (x + 10)^2

Read more about trinomial at:

brainly.com/question/1538726

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2 years ago
Unit activity: exponential and logarithmic functions
nirvana33 [79]

We will conclude that:

  • The domain of the exponential function is equal to the range of the logarithmic function.
  • The domain of the logarithmic function is equal to the range of the exponential function.

<h3>Comparing the domains and ranges.</h3>

Let's study the two functions.

The exponential function is given by:

f(x) = A*e^x

You can input any value of x in that function, so the domain is the set of all real numbers. And the value of x can't change the sign of the function, so, for example, if A is positive, the range will be:

y > 0.

For the logarithmic function we have:

g(x) = A*ln(x).

As you may know, only positive values can be used as arguments for the logarithmic function, while we know that:

\lim_{x \to \infty} ln(x) = \infty \\\\ \lim_{x \to0} ln(x) = -\infty

So the range of the logarithmic function is the set of all real numbers.

<h3>So what we can conclude?</h3>
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  • The domain of the logarithmic function is equal to the range of the exponential function.

If you want to learn more about domains and ranges, you can read:

brainly.com/question/10197594

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