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2 years ago

15

Last year during the hurricane season, the amount of rain that fell on the Texas Gulf Coast in October was 14 inches, which was

3 1/2 times more than the rainfall during September of the same year. How much rain fell during the month of September?

1 answer:

Archy [21]2 years ago

7 0

Answer:

4 inches of rain fell during September.

Step-by-step explanation:

Divide 14 by 3 1/2.

You might be interested in

Find the length of UT.

otez555 [7]

Answer: A. 32

Concept:

Here, we need to know the idea of the intersecting chord theorem and segment addition postulate.

The<u> intersecting chord theorem </u>states that when two chords intersect at a point, P, the product of their respective partial segments is equal.

The<u> Segment Addition Postulate</u> states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

<u>Given information</u>

CW = 12

TW = 14

VW = 2x + 5

UW = 2x + 2

<u>Given expression deducted from intersecting chord theorem</u>

CW · VW = TW · UW

<u>Substitute values into the expression</u>

(12) · (2x + 5) = (14) · (2x + 2)

<u>Expand parentheses and apply the distributive property</u>

24x + 60 = 28x + 28

<u>Subtract 14x on both sides</u>

24x + 60 - 24x = 28x + 28 - 24x

60 = 4x + 28

<u>Subtract 28 on both sides</u>

60 - 28 = 4x + 28 - 28

32 = 4x

<u>Divide 4 on both sides</u>

32 / 4 = 4x / 4

x = 8

<u>Given expression deducted from the segment addition postulate</u>

UT = UW + TW

<u>Substitute values into the expression</u>

UT = 2x + 2 + 14

<u>Substitute x value into the expression</u>

UT = 2 (8) + 2 + 14

UT = 16 + 2 + 14

<u>Combine like terms</u>

UT = 32

Hope this helps!! :)

Please let me know if you have any questions

5 0

2 years ago

Each of students reported the number of movies they saw in the past year. Here is what they reported. 17,19,10,4,16,20

lukranit [14]

Answer:

14.3

Step-by-step explanation:

What you would do is add all 6 numbers together. After finding the sum, divide by 6. The 6 represents the amount of numbers in the data set. So you would find 86/6 and get 14.3333. That would be rounded to 14.3. Hope this helped!

8 0

2 years ago

The length of a rectangle is 20 units more than its width. The area of the rectangle is x4−100.

nadezda [96]

Answer:

$1. x^2-10$ because the area expression can be rewritten as $(x^2-10)(x^2+10)$ which equals $(x^2-10)((x^2-10)+20).$

Step-by-step explanation:

Area of the rectangle $=(x^4-100)$

$x^4-100=(x^2)^2-10^2\\$Applying difference of two squares: a^2-b^2=(a-b)(a+b)\\(x^2)^2-10^2=(x^2-10)(x^2+10)$

Since the length of a rectangle is 20 units more than its width.

$Width: x^2-10\\Length=x^2+10=x^2-10+20$

The correct option is therefore 1.

4 0

3 years ago

Read 2 more answers

Whats 3/7 divided by 6

lys-0071 [83]

Exact Form:
1/14
Decimal Form:
0.0714285
Please give brainliest

8 0

2 years ago

Factor completely 3x^2+7x-6

Likurg_2 [28]

I find the following method easiest to factor this equation.

1. First, fill in what you know would be the factors for the first value, 3x^2. The number 3 only has 2 factors: 3 and 1. Therefore, we know the first values are:

(3x _____)(x_____)

2. Next, figure out what the possible factors for the last value would be (-6). The following combinations are possible:
2 and -3 OR -3 and 2
-2 and 3 OR 3 and -2
-1 and 6 OR 6 and -1
1 and -6 OR -6 and 1

3. Plug in the combinations into step 1 and see which gives you the correct answer:
<span>(3x + 2)(x - 3) = 3x^2 - 7x - 6 --> no
</span>(3x - 3)(x + 2<span>) = 3x^2 + 3x - 6 --> no
</span>(3x - 2)(x + 3) = 3x^2 + <span>7x - 6 --> YES</span>

7 0

3 years ago

Read 2 more answers