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NikAS [45]
2 years ago
8

The Huey family is purchasing a winter cover for their above ground pool which is rectangular and has dimensions of 18 ft x 9 ft

. They want the cover to overlap the pool by 15 inches on all sides. How many square feet will the winter cover be?
Mathematics
2 answers:
grigory [225]2 years ago
8 0
162 think of a square like a pool both sides have to be the same
pogonyaev2 years ago
5 0

Answer:

235.75 square feet

Step-by-step explanation:

15 inches on all sides, means 30 inches more on side a and side b

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Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils
LiRa [457]

He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.

Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.

To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.

To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.

Each package contained 12 pencils.

Hope this helps

8 0
2 years ago
Milton spilled some ink on his homework paper. He can't read the coefficient of $x$, but he knows that the equation has two dist
Lera25 [3.4K]

Answer:

Sum = -81

Step-by-step explanation:

See the comment for complete question.

Given

c = 36 ----- Constant

No coefficient of x^2

Required:

Determine the sum of all distinct positive integers of the coefficient of x

Reading through the complete question, we can see that the question has 3 terms which are:

x^2 ---- with no coefficient

x ---- with an unknown coefficient

36 ---- constant

So, the equation can be represented as:

x^2 + ax + 36 = 0

Where a is the unknown coefficient

From the question, we understand that the equation has two negative integer solution. This can be represented as:

x = -\alpha and x = -\beta

Using the above roots, the equation can be represented as:

(x + \alpha)(x + \beta) = 0

Open brackets

x^2 + (\alpha + \beta)x + \alpha \beta = 0

To compare the above equation to x^2 + ax + 36 = 0, we have:

a = \alpha + \beta

\alpha \beta = 36

Where: \alpha, \beta and \alpha \ne \beta

The values of \alpha and \beta that satisfy \alpha \beta = 36 are:

\alpha = -1 and \beta = -36

\alpha = -2 and \beta = -18

\alpha = -3 and \beta = -12

\alpha = -4 and \beta = -9

So, the possible values of a are:

a = \alpha + \beta

When \alpha = -1 and \beta = -36

a = -1 - 36 = -37

When \alpha = -2 and \beta = -18

a = -2 - 18 = -20

When \alpha = -3 and \beta = -12

a = -3 - 12 = -15

When \alpha = -4 and \beta = -9

a = -4 - 9 = -13

At this point, we have established that the possible values of a are: -37, -20, -15 and -9.

The required sum is:

Sum = -37 -20 -15 - 9

Sum = -81

7 0
2 years ago
This dot plot is symmetric, and the data set has no extreme values. 2 4 5 6 7 8 9 10 What is the best measure of center for this
Zepler [3.9K]

I think it would be c

5 0
2 years ago
Read 2 more answers
How is quadrilateral ABCD related to quadrilateral A'B'C'D' shown below?
coldgirl [10]
What you put is correct. A’B’C’D’ is what would be shown if you rotate ABCD 90 degrees clockwise
4 0
2 years ago
In a class of students, the following data table summarizes how many students have a cat or dog. What is the probability that a
nadezda [96]

Answer:

from this we know there is 30 people in the class and 14 of them have a cat so the probability is 14/30

14/30

7/15

7/15 as a percent is 46.6667%

7 0
2 years ago
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