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ankoles [38]
3 years ago
6

83 1/5 -108 2/5 - (-99 1/5) =

Mathematics
2 answers:
Semenov [28]3 years ago
7 0
It equals 74. But I see someone already answered it.
KatRina [158]3 years ago
5 0
<span>83 1/5 -108 2/5 - (-99 1/5) = 74</span>
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How long will it take you to drive 175 miles at a speed of 25 miles per hour?
krek1111 [17]
I believe it would take you 7 hours at that miles per hour
6 0
3 years ago
Natalie consumes only apples and tomatoes. Her utility function is U(x, y) = x 2y 8 , where x is the number of apples consumed a
Kamila [148]

Answer:

16 apples.

Step-by-step explanation:

U(x, y) = x^2y^8

MU_x =\frac{\partial U}{\partial x}  = 2xy^8\\MU_y = \frac{\partial U}{\partial x} = 8x^2y^7\\

Price of apples, Px=$4

Price of tomatoes,  Py=$3

Ratio of their Marginal Utilities

\frac{MU_x}{MU_y}  =  \frac{Px}{Py}

\frac{y}{4x}  =  \frac{4}{3}

y=\frac{16x}{3}

Since Natalie’s income is $320

320 = xPx+yPy

320=4x + 3*\frac{16x}{3} \\320= 4x+16x = 20x\\x=\frac{320}{20} = 16\\Also\\y=\frac{16x}{3}=\frac{16X16}{3}=\$85.33

Since x=16, Natalie will consume 16 apples.

6 0
3 years ago
Jeff was already 7 miles out of town when his sister
Nikolay [14]

The sister catches up Jeff after 2 hours

Step-by-step explanation:

We can write Jeff's position and his sister position at time t using the following expressions:

- Jeff position:

x_j(t) = 7 + 2.5 t

where:

7 is the initial position of Jeff when his sister sarts chasing him

2.5 is Jeff's velocity (in miles/hour), so its position increases by 2.5 miles for each hour

t is the time measured in hours

- Sister position:

x_s(t) = 6t

where

6 is the sister velocity (her position increases by 6 miles for every hour)

t is the time measured in hours

The sister catches up Jeff when the two positions are equal, so

x_j(t) = x_s(t)\\7+2.5t=6t

And solving for t,

7+2.5t-2.5t=6t-2.5t\\7=3.5t\\t=\frac{7}{3.5}=2 h

So, the sister catches Jeff after 2 hours.

Learn more about speed:

brainly.com/question/8893949

#LearnwithBrainly

5 0
3 years ago
I'd seriously appreciate it if anyone could help ASAP! :) I'll give Brainliest!
Jet001 [13]

We have been given a graph of function g(x) which is a transformation of the function f(x)=3^x

Now we have to find the equation of g(x)

Usually transformation involves shifting or stretching so we can use the graph to identify the transformation.


First you should check the graph of f(x)=3^x

You will notice that it is always above x-axis (equation is x=0). Because x-axis acts as horizontal asymptote.

Now the given graph has asymptote at x=-2

which is just 2 unit down from the original asymptote x=0

so that means we need shift f(x), 2 unit down hence we get:

y=3^x


but that will disturb the y-intercept (0,1)

if we multiply 3^x by 3 again then the y-intercept will remain (0,1)

Hence final equation for g(x) will be:

g(x)=3(3^x)-2


6 0
3 years ago
What is the image of the point (-3,-6) on rotation of 90 degrees about the origin ?
SOVA2 [1]

Answer:

(- 6, 3 )

Step-by-step explanation:

Under a rotation about the origin of 90°

a point (x, y ) → (y, - x ), thus

(- 3, - 6 ) → (- 6, 3 )

6 0
3 years ago
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