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dlinn [17]
3 years ago
5

A taxi charges a flat rate of $1.75, plus an additional $0.65 per mile. If Erica has at most $10 to spend on the cab ride, how f

ar could she travel?
Mathematics
1 answer:
yaroslaw [1]3 years ago
3 0

Answer: 12.69 miles approx

Step-by-step explanation:

let x represent the number of miles traveled

1.75 + 0.65x = 10

0.65x  = 8.25

x = 12.69 miles approx

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Dustin had $52 he got $49 more and then he spent some money dustin has $35 left how much money did dustin spend
sveta [45]
The answer: Dustin spent $66

$52+$49=$101
$101-$35=$66
5 0
3 years ago
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Andrea's living room floor is a rectangle 12 feet by 15 feet. She wants to buy a rug that is geometrically similar to her living
Sliva [168]

Answer:

180 square feet

Step-by-step explanation:

A rug that is geometrically similar to her room floor is one that has the same size as her room floor.

The floor has dimensions 12 feet by 15 feet.

The area of the floor and hence, the rug is:

A = 12 * 15 = 180 square feet

She should buy a rug that is 180 square feet

7 0
3 years ago
The engine torque y (in foot-pounds) of one model of car is given by y=−3.75x2+23.2x+38.8, where x is the speed (in thousands of
Stels [109]

Answer:

Step-by-step explanation:

If the engine torque y (in foot-pounds) of one model of car is given by y=−3.75x^2+23.2x+38.8

The engine speed is at maximum if dy/dx = 0

dy/dx = -2(3.75)x+23.2

dy/dx = -7.5x + 23.2

since dy/dx = 0

0 =  -7.5x + 23.2

7.5x = 23.2

x = 23.2/7.5

x = 3.093

Hence the maximum torque is 3.09 rev/min

8 0
3 years ago
Someone help with this​
Fantom [35]

Step-by-step explanation:

6x2 - x + 3 - (-5x2 + 10x - 1)

6x2 - x + 3 + 5x2 - 10x + 1

Solving like terms

11x2 - 11x + 4

5 0
3 years ago
Find the equation of a line perpendicular to −4x+4y=4 that contains the point (−4,5).
kati45 [8]

Answer:

y = - x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange - 4x + 4y = 4 into this form by adding 4x to both sides

4y = 4x + 4 ( divide all terms by 4 )

y = x + 1 ← in slope- intercept form

with slope m = 1

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{1} = - 1, thus

y = - x + c ← is the partial equation

To find c substitute (- 4, 5) into the partial equation

5 = 4 + c ⇒ c = 5 - 4 = 1

y = - x + 1 ← equation of perpendicular line

4 0
3 years ago
Read 2 more answers
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