A taxi cab company charges a flat amount of $5.00 plus a rate of $3.00 per mile traveled, what is the total number of miles traveled if the fare was $41.00

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

Amount charged = $5.00

Amount charged for per mile = $3.00

Miles traveled =

Total amount charged = $41.00

Total amount = $3 per mile - $5

41-5 = 35

Miles traveled= $35 ÷ $3

35÷3 = 11.66

Miles traveled = 11/11.66


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Which answer is equal to ( sqrt 7)^3? A.7 3/2 B.7 2/3 C.7 1/6 D.7 1/3

(2x raised to fourth power) raised to the negative fourth power

Answers

{ \left( { \left( 2x \right)  }^( 4 ) \right)  }^( -4 )\n \n =\frac { 1 }{ { \left( { \left( 2x \right)  }^( 4 ) \right)  }^( 4 ) }

\n \n =\frac { 1 }{ { \left( 2x \right)  }^( 16 ) } \n \n =\frac { 1 }{ { 2 }^( 16 ){ x }^( 16 ) } \n \n =\frac { 1 }{ 65536{ x }^( 16 ) }
(2x^4)^(-4)=2^(-4)\cdot (x^4)^(-4)=(1)/(2^4)\cdot (1)/((x^(4))^4)=(1)/(16)\cdot (1)/(x^(16))=(1)/(16x^(16))

Which angle is vertical to ABCDEF?

Answers

Answer:

The angles opposite each other when two lines cross. They are always equal. In this example a° and b° are vertical angles. "Vertical" refers to the vertex (where they cross), NOT up/down.

Step-by-step explanation:

Hope this helps!

Which relationship is always true for the angles x, y, and z of triangle MNP?

Answers

Answer:

Step-by-step explanation:

In every triangle, all the measures of the angles combined is 180 degrees.

So x + y + z = 180 degrees

Answer:

180 dg

Step-by-step explanation:

for his birthday torin got $50.00 more from his grandparents than from his uncle. his uncle gave him $10.00 less than his cousin torin recieved $135.00 in total how much did he recieve from his cousin

Answers

Let us assume that the amount Torin got from his grandparents = x
The amount Torin received from his cousin = y
Let us assume that the amount Torin got from his uncle = z
Now let us concentrate on the information's provided in the question.
Now
x = 50 + z
z = x - 50
z = y - 10
y = z + 10
We also know that
x + y + z = 135
Now if we replace the value of x and y that we have already got then
x + y + z = 135
50 + z +z + 10 + z = 135
3z + 60 = 135
3z = 135 - 60
3z = 75
z = 75/3
   = 25
So the amount received from his cousin is $25

If f(c) = 0, which of the following statements must be true?A. The point (c,0) lies on the graph of f(x)
B. x - c is a factor of f(x).
C. c is a 0 for f(x).
D. All three statements are true.

Answers

For this case suppose we have a function of the form:

y = f (x)

Where,

x: independent variable

y: dependent variable

We have then that the value of the function for x = c is:

f (c) = 0

Therefore, we have that:

The point (c, 0) belongs to f (x)

x-c is a common factor of f (x) because the function evaluated at x = c is equal to zero.

x = c is a root of f (x) so c is a zero of the function f (x)

Answer:

D. All three statements are true.

Answer: D) All three statements are true.
Thank you.

The function t(x) = x + 6 determines how many cans of soup a food truck needs to stock, where x is the number of shifts the crew is going to work in the truck. The crew uses c(t(x)) to find the amount of money to spend on soup. The function c(x) = 2x + 4. Solve for how much money must be spent when the crew is going to work 4 shifts.(A. 24; B. 28; C. 30; D. 34)

Answers

Answer:

Option A is correct.

The amount of money must be spent when the crew is going to work 4 shifts is, 24

Step-by-step explanation:

Given the function:t(x) = x+6 .....[1] ; where x represents the number of shifts the crew is going to work in the truck.

Also, the crew uses c(t(x)) which  represents the amount of money to spend on soup.

The function is given as:

c(x) = 2x + 4               .....[2]

To find c(t(x)) i.e, the money must be spent when the crew is going to work 4 shifts.

⇒ x = 4

First substitute the value of x in [1] to find t(x);

t(4) = 4+6 = 10

Then;

For x=4 ,

c(t(4)) = 2(t(4)) +4                   [Using equation [2]]        

Substitute the value of t(4) = 10 we have;

c(t(4)) = 2(10) +4 = 20 + 4 = 24

Therefore, the amount must be spent when the crew is going to work 4 shifts is, 24




First, you have to solve t(x) when x=4, because the crew is working 4 scripts.    Which is t(x)=4+6                                 
t(x)=10
Then, you plug in t(x) to c(x).
c(x)=2(10)+4
c(x)=24