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devlian [24]
3 years ago
7

A scale on a hiking map shows that 33 inches represents 1.25miles. What number of inches on the map represent 1010 actual miles?

Mathematics
1 answer:
user100 [1]3 years ago
3 0

Answer:

26,664 inches  

Step-by-step explanation:

Set up a proportion to solve this...

33 inches is to 1.25 miles as 'x' inches is to 1,010 miles

33/1.25 = x/1,010        now solve for x by cross multiplying

33,330 = 1.25x

33,330/1.25 = x

26,664 = x

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in the year 2001, a person bought a new car for $22000. for each consecutive year after that, the value of the car depreciated b
igomit [66]

Answer:

To the nearest hundred dollars, the car will be worth $17,900 by 2005

Step-by-step explanation:

Firstly, we need to write the depreciation equation

We have this as:

V = I(1 - r)^t

V is the present value which is what we want to calculate

I is the initial value, the amount the cad was bought which is $22,000

r is the rate of change which is 5% = 5/100 = 0.05

t is the time difference which is 2005-2001 = 4

Substituting all these into the depreciation equation, we have it that

V = 22,000(1 -0.05)^4

V = $17,919.1375

To the nearest hundred dollars, that would be;

$17,900

7 0
3 years ago
What is the range of the function y = x 2?
Leno4ka [110]

Answer:

\mathrm{Range\:of\:}x^2:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

The graph is also attached below.

Step-by-step explanation:

Given the function

y=x^2

  • We know that the range of a function is the set of values of the dependent variable for which a function is defined.

\mathrm{For\:a\:parabola}\:ax^2+bx+c\:\mathrm{with\:Vertex}\:\left(x_v,\:y_v\right)

\mathrm{If}\:a

\mathrm{If}\:a>0\:\mathrm{the\:range\:is}\:f\left(x\right)\ge \:y_v

a=1,\:\mathrm{Vertex}\:\left(x_v,\:y_v\right)=\left(0,\:0\right)

f\left(x\right)\ge \:0

Thus,

\mathrm{Range\:of\:}x^2:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}

The graph is also attached below.

5 0
3 years ago
Ty has 230 pages of text to read in the next three days. if he averages 25 pages every 1 1/4 hours, how many hours is he going t
sineoko [7]

Answer:

11.5 hours

Step-by-step explanation:

25 pages every 75 minutes (1 1/4)

Thats means 1 page every 3 minutes (divide 25 and 75 by 25 to get this)

230 pages would mean 690 minutes (times the 3 by 230)

690/6 = 11.5

7 0
3 years ago
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