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shtirl [24]
3 years ago
5

Last year Austin, Texas received 23.5 inches pf rainfall. This year Austin received 21.2 inches of rainfall. Find the percent of

decrease in the number of inches in rainfall. Round your answer to the nearest tenth of a percent, if necessary.
A. 2.3%
B. 9.8%
C. 10.8%
D. 13.6%
Mathematics
2 answers:
Anna71 [15]3 years ago
7 0
Percent decrease=decrease/original times 100
decrease=23.5-21.2=2.3
original=23.5

percent decrease=2.3/23.5 times 100=0.0978 times 100=9.8%

B is answer
Ulleksa [173]3 years ago
4 0

Answer: B. 9.8%

Step-by-step explanation:

Hi, to answer this question we have to use proportions

since 23.5 is the 100% = 23.5 inches /100 %

For 21.2 inches =21.2inches /x%

23.5/100 =21.2/x

Solving for x:

x = 21.2 / (23.5/100)

x = 90.2%

21.1 inches are 90.2% of 23.5 inches.

So, the percent decrease is:

100% - 90.21 % = 9.8 %

Feel free to ask for more if needed or if you did not understand something.

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Jobisdone [24]

Answer:

x =  \sqrt{12 }  = 2 \sqrt{3}  \: or \\ x =   -  \sqrt{12}  =  - 2 \sqrt{3}

Step-by-step explanation:

In order for the triangle to be a right one we need every side to be of the same length. see the photo for furyher explanation.

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3 years ago
Sandy evaluated the expression below
andre [41]

Answer:

Sandy should have evaluated (-2)³ as -8

Step-by-step explanation:

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Because:

(-2) · (-2) · (-2) = 4 · (-2) = - 8

God with you!!!

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Answer:

2 to the 3rd power,

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4 to the 3rd power,

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The "3rd power" means how many times the number given to it would be multiplied. Aka, 2 to the 4th power would mean 2 times 2 times 2 times 2, (2 four times).

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Artist 52 [7]

Answer:

y=(x-3)^2-6

Step-by-step explanation:

y=x^2-6x+3

This is written in the standard form of a quadratic function:

y=ax^2+bx+c

where:

  • ax² → quadratic term
  • bx → linear term
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You need to convert this to vertex form:

y=a(x-h)^2+k

where:

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To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:

x=-\frac{b}{2a}

Using your original equation, identify the a, b, and c terms:

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Insert the known values into the equation:

x=-\frac{(-6)}{2(1)}

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Simplify using PEMDAS:

y=9-18+3\\\\y=-9+3\\\\y=-6

The value of y is -6 (3,-6). Insert these values into the vertex form:

(3_{h},-6_{k})\\\\y=a(x-3)^2+(-6)

Insert the value of a and simplify:

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6 0
3 years ago
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AURORKA [14]

Answer:

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5 0
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