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Brilliant_brown [7]
4 years ago
14

A taxi charges $1.75 plus a fee of $0.75 for each mile traveled. The total cost of a ride, without a tip, is $4.75. How many mil

es is the trip?
Write an equation to represent
Mathematics
2 answers:
horrorfan [7]4 years ago
6 0
4.75= 1.75+0.75x
<span>x=4 miles
</span>
1)simplify both sides of equation
2) Flip te equation = 0.75x+1.75=4.75
3) Subtract 1.75 from both sides
4) Divide both sides by 0.75


pantera1 [17]4 years ago
3 0
His trip was 4 miles

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Solve -8x +Y=23 and -x+6y=-3 using substitution method
marysya [2.9K]

y=8x+23

y=x/6-1/2


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3 years ago
The width of a rectangle is 14 meters less than the length. The area of the rectangle is 576 square meters. Find the length and
belka [17]

Answer: Width = 18m

Length = 32m

Step-by-step explanation:

Let the width of a rectangle be x

Let the length of the rectangle be: x+14

Width = 18m

Length = 32m

Check the attachment for the explanation and further details.

5 0
4 years ago
Suppose SAT Writing scores are normally distributed with a mean of 497 and a standard deviation of 109. A university plans to aw
Tema [17]

Answer:

721.54

Step-by-step explanation:

We have to convert the 2% given in the statement into a z-score, as follows:

P (X> x) = 2% = 0.02, P (Z> z) = 0.02

thus find z such that:

P (Z <z) = 1 - P (Z> z)

P (Z <z) = 1 - 0.02

P (Z <z) = 0.98

we look for what value of z corresponds to in the normal distribution table and it is 2.06

x = m + z * sd

m is mean and sd standard deviation, replacing:

x = 497 + 2.06 * 109

x = 721.54

721.54 would be the minimum score.

8 0
3 years ago
Select the equivalent expression (7^2 x 5^6)^4
Masja [62]

Answer:

x (12 y + 4)

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5 0
3 years ago
The force F (in newtons) of the hydraulic cylinder in a press is proportional to the square of sec x where x is the distance (in
DanielleElmas [232]

Answer:

Part A) F(x) =500 sec(x)

Part B) Average force exerted by the press = 750 N

Step-by-step explanation:

Given:

F(x) ∝ sec(x)

Range of x = [0,Pi/3] or x = [0 , 60°]

F(0) = 500 N i.e. F is 500 N at x = 0.

As we now that:

Force is proportional to sec(x) therefore we may write an equation by introducing Proportionality Constant (k) as under:

F(x) = k * sec(x) - Say it Equation 1

Then using given information of F=500 N at x = 0 we have:

500 = k * sec(0)

As sec(0) = 1, therefore we get:

k = 500

By putting value of k in equation 1 we have:

F(x) = 500 * sec(x)

Now by putting max value of x from the given range that is Pi/3 in the above equation we get:

F(Pi/3) = 500 * sec(Pi/3)

As Pi = 180 there we simplify the above equation as:

F(60°) = 500 * sec(60°)

F(60°) = 500 * 2 ; By putting sec(60°) = 2

F(60°) = 1000 N

Now the avg. of force exerted by the hydraulic press is given by:

Avg. Force = Minimum Force + [(Maximum Force - Minimum Force) / 2] - Say it equation 2

Considering sec(x) is minimum at x = 0 and maximum at x = 60° within the given range [0 , 60°] therefore we have:

The minimum force being put at x = 0 i.e. F = 500 N and max. force at x = 60° which is F = 1000 N.

Finally we get the average force using equation 2 as under:

Average force = 500 +  [(1000 - 500) / 2]

Average Force = 500 + 250

Average Force = 750 N

7 0
3 years ago
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