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yanalaym [24]
3 years ago
14

Yellow Cab Taxi charges a $1.75 flat rate in addition to $0.65 per mile. Katie has no more than $10 to spend on a ride. How many

miles can Katie travel without exceeding her limit?
Mathematics
2 answers:
ycow [4]3 years ago
4 0
It's 12 miles is how far she can go 
spayn [35]3 years ago
3 0
About  miles. 

Subtract the flat rate of 1.75 from the spending limit of 10$ which leaves you with 8.25 then divide the rest of your spending money (8.25$) into your rate per mile (0.65) , so essentially , 8.25 / 0.65 which leaves you with the answer of ;
12 miles.
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1 + tanx / 1 + cotx =2
Lera25 [3.4K]

Answer:

x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or x = tan^(-1)(-(i sqrt(3))/2 + 1/2) + π n_2 for n_2 element Z

Step-by-step explanation:

Solve for x:

1 + cot(x) + tan(x) = 2

Multiply both sides of 1 + cot(x) + tan(x) = 2 by tan(x):

1 + tan(x) + tan^2(x) = 2 tan(x)

Subtract 2 tan(x) from both sides:

1 - tan(x) + tan^2(x) = 0

Subtract 1 from both sides:

tan^2(x) - tan(x) = -1

Add 1/4 to both sides:

1/4 - tan(x) + tan^2(x) = -3/4

Write the left hand side as a square:

(tan(x) - 1/2)^2 = -3/4

Take the square root of both sides:

tan(x) - 1/2 = (i sqrt(3))/2 or tan(x) - 1/2 = -(i sqrt(3))/2

Add 1/2 to both sides:

tan(x) = 1/2 + (i sqrt(3))/2 or tan(x) - 1/2 = -(i sqrt(3))/2

Take the inverse tangent of both sides:

x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or tan(x) - 1/2 = -(i sqrt(3))/2

Add 1/2 to both sides:

x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or tan(x) = 1/2 - (i sqrt(3))/2

Take the inverse tangent of both sides:

Answer:  x = tan^(-1)((i sqrt(3))/2 + 1/2) + π n_1 for n_1 element Z

or x = tan^(-1)(-(i sqrt(3))/2 + 1/2) + π n_2 for n_2 element Z

4 0
3 years ago
2X+2Y=48<br> 3X+Y=40 <br><br> What is X and Y
marshall27 [118]

Answer:

x=8

y=16

Step-by-step explanation:

2x+2y=48

3x+y=40

Ther is many ways to solve this, one of them is clearance:

WE CLEAR AN UNLOCKED (X) AND REPLACE IT IN THE OTHER

x= (40-y)/3

2[(40-y)/3] +2y=48

(80-2y)/3 +2y=48

(80-2y+6y)/3=48

80+4y=48(3)

4y=144

y= 144/4

y=16

x=(40-y)/3

x=(40-16)/3

x=24/3

x=8

4 0
3 years ago
Find the annual percent increase or decrease that y = 0.35(2.3)x models. (1 point) A.230% increase B.130% increase C.30% decreas
ipn [44]

Answer: B. 130% increase


Step-by-step explanation:

Given function :  y=0.35(2.3)^x

If x represents the number of years, we have to determine the two values of y in consecutive terms to determine if the value of y increases or decreases after a year.


This function is equivalent to the exponential growth function


y=A(1+r)^x, where A=0.35 and (1+r)=2.3, [A= initial amount , r=annual percent increase]

Thus,

\Rightarrow\ r=2.3-1\\\Rightarrow\ r=1.3\\\Rightarrow\ r=1.3\times100\%=130\%

Hence, the annual percent increase is 130%.

8 0
3 years ago
Read 2 more answers
Help me please:(((((
MariettaO [177]

Answer:

• Consider points (2, 0) and (0, 6) spotted from the graph.

{ \boxed{ \rm{slope =  \frac{y _{2} - y  _{1} }{x _{2}  - x _{1} } }}}

• substitute:

{ \rm{slope =  \frac{6 - 0}{0 - 2} }} \\  \\ { \rm{ =  \frac{6}{ - 2} }} \\  \\ { \boxed{ \boxed{ \tt{ \:  \: slope =  - 3 \:  \: }}}}

5 0
3 years ago
What is 4/10 times 8/10???​
pshichka [43]

Answer:

8/25

Step-by-step explanation:

We do this by multiplying the top first, and we get 32.

We then multiply the bottom, and get 100.

You might think the answer is 32/100.

Well, kind of! We need to simplify!

we divide the top and bottom by four to get our answer, 8/25.

3 0
3 years ago
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