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MArishka [77]
2 years ago
6

A student walks 1/4 Mile from her home to the store on her way to a friend's house if the store is 1/3 of the way to a friend's

house how far is her friend's house for my home
Mathematics
1 answer:
exis [7]2 years ago
3 0

the store is 1/3 the way to her friend's house, not 1/3 mile.

this explains solution:

1/3x = 1/4

x = 1/4 * 1/3

x = 3/4

Notes:

X: is the total distance.

1/3 is the one portion of total distance.

1/4 mile is the distance store.

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Suppose the equation for line A is given by 12x=9y+27. If line A and B are perpendicular and the point (16,-12) lies on line B,
s2008m [1.1K]

Answer:

y=-\frac{3}{4} x-8

Step-by-step explanation:

he equation for line A is given by 12x=9y+27

Equation of line is y=mx+b where m is the slope

12x=9y+27

Subtract 27 on both sides

12x-27=9y

Divide both sides by 9

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

Slope of the given line is 4/3

Slope of perpendicular lines are negative reciprocal of one another

slope of perpendicular line is -3/4

m=-3/4, (16,-12)

y-y1=m(x-x1)

y+12=\frac{-3}{4}(x-16)

Multiply fraction inside the parenthesis

y+12=-\frac{3}{4} x+4

Now subtract 12 from both sides

y=-\frac{3}{4} x-8

8 0
2 years ago
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Calculate the amount of property tax Alice Brown owes on her home, which has an assessed value of $90,000. The tax rate in her c
svp [43]
This is the concept of commercial arithmetic, the amount of tax calculated from $90,000 will be:
Rate*value
=31/1000*90000
=$2,790
the answer is $2,790
8 0
2 years ago
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$1,200, 3.9%, 8months
Alexeev081 [22]
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1200(<span>1.02583386437)
$1231.00

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2 years ago
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Which of the graphs below represent the function f(x) = − x3 + 4x2 − x + 3? You may sketch the graph to compare.
Alekssandra [29.7K]

Answer:

Please see the attachment.

Step-by-step explanation:

\text{Given function:}f(x)=-x^3+4x^2-x+3

Now we find the x and y intercept of f(x)

For x-intercept: Put f(x)=0 and solve for x

So, x=3.92 (Just before 4 on x-axis)

For y-intercept: Put x=0 and solve for f(0)

So, y=3 (Passes through y-axis at 3)

End Behavior: Third degree function

x\rightarrow -\infty , f(x)\rightarrow \infty

x\rightarrow \infty , f(x)\rightarrow -\infty

Possible graph of the f(x). Please see the attachment.

7 0
2 years ago
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The amphitheater has two types of tickets available, reserved seats and lawn seats. The maximum capacity of the venue is 20,000
Tema [17]

Let the number of reserved tickets = x

Let the number of lawn seats = y

Constraint functions:

Maximum capacity means x+y\leq 20000

For concert to be held x+y\geq 5000

lawn seats\leq reserved means y\leq x

Objective functions :

Maximum profit equation p = 65x +40y

Intersection points :

(10000,10000) (20000,0)(2500,2500)(5000,0)

p at (10000,10000) = 65(10000) + 40(10000) = $1050000

p at (20000,0) = 65(20000) + 40(0) = $1300000

p at (2500,2500) = 65(2500) + 40(2500) = $262500

p at (5000,0) = 65(5000) + 40(0) =  $325000

Hence maximum profit occurs when all 20000 reserved seats are sold and the profit is $1300000

Please find attached the graph of it.

8 0
2 years ago
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