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hodyreva [135]
3 years ago
14

It snowed 8 feet of snow in 30 1/2 hours. How much did it snow in 1 hour? Show all work.

Mathematics
1 answer:
faust18 [17]3 years ago
8 0

Answer:

approx 1/4 inch of snow in 1 hour

Step-by-step explanation:

set up a proportion and cross-multiply:

8 / 30.5 = x / 1

30.5x = 8

x = 8/30.5

x = 0.26

You might be interested in
What is the area of this figure?
nalin [4]

Answer:

<em>290.5 square miles</em>

Step-by-step explanation:

Consider splitting this figure into two mini rectangles and a triangle, each of given lengths;

Dimensions of Rectangle 1 - Height ; 5 mi, Length ; 7 mi,\\Area of Rectangle 1 - Height * Length = 5 mi * 7 mi = 35 mi^2\\\\Dimensions of Rectangle 2 - Height ; 18 mi, Length ; 8 mi,\\Area of Rectangle 2 - Height * Length = 23 mi * 8 mi = 184 mi^2\\\\Dimensions of Mini Right Triangle - Height ; 11 mi, Base ; 8 + 5 = 13 mi,\\Area of Mini Right Triangle - 1 / 2 * Base * Height = 1 / 2 * 13 mi * 11 mi = 71.5 mi^2,\\\\Area of Figure = 35 mi^2 + 184 mi^2 + 71.5 mi^2 = 290.5 square miles

<em>Solution; 290.5 square miles</em>

4 0
3 years ago
Point M (-3, 5) is translated using this rule. (x, y) ----&gt; (x - 1, y) What are the coordinates of M'?
Nuetrik [128]

Answer:

The coordinates of point M' are M'(x,y) = (-4, 5).

Step-by-step explanation:

According to the statement, we have the following translation rule:

M'(x,y) = M(x,y) + (-1, 0) (1)

Where:

M(x,y) - Original point.

M'(x,y) - Translated point.

(-1, 0) - Translation vector.

If we know that M(x,y) = (-3, 5), then the coordinates of the point M' are:

M'(x,y) = (-3,5) + (-1,0)

M'(x,y) = (-4, 5)

The coordinates of point M' are M'(x,y) = (-4, 5).

5 0
3 years ago
I don't understand this question at all please help if you do
lorasvet [3.4K]

Answer:

Answer is \frac{4}{3}

Step-by-step explanation:

To find the interval of x. Use our equations to equal each other.

-x^2+2x=y,y=0

-x^2+2x=0\\-x(x-2)=0\\-x=0 , (x-2)=0\\x=0 ,2

\int\limits^2_0 {-x^2+2x} \, dx

Integrate.

\frac{-x^3}{3}+x^2\\(\frac{-2^3}{3}+2^2)-[\frac{-0^3}{3}+0^2]\\-\frac{8}{3} +4-0\\-\frac{8}{3}+\frac{12}{3}  =4/3

Using Desmos I have Graphs of both of the equations you have provided. The problem asks us to find the shaded region between those curves/equations.

Proof Check your interval of x.

7 0
2 years ago
Find the missing value for the exponential function represented by the table below x -2 -1 0 1 2 y 29 20.3 14.21 6.9629
andre [41]

Answer:

y=4.8710 is the missing value

Step-by-step explanation:

The first step in approaching this question is determining the exponential equation that models the set of data. This can easily be done in Ms.Excel application. We first enter the data into any two adjacent columns of an excel workbook. The next step is to highlight the data, click on the insert tab and select the x,y scatter-plot feature. This creates a  scatter-plot for the data.

The next step is to click the Add chart element feature and insert an exponential trend line to the scatter plot ensuring the display equation on chart is checked.

The exponential regression equation for the data set is given as;

y=12.321e^{-0.464x}

To find the missing y value, we simply substitute x with 2 in the regression equation obtained;

y=12.321e^{-0.464(2)}\\\\y=4.8710

5 0
3 years ago
Can someone help me with this question please.
ozzi

Answer:

x=88° a=+3 b=4a-3

Step-by-step explanation:

as triangles ADE and BCE are congruent by sss axiom

so correponding angles are equal

i.e<AED = <BEC

and <DAE =90-60

=30°

so

62°+x+30°=180°

therefore x=88°

5 0
4 years ago
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