Mike took a taxi from his home to the airport. The taxi driver charged an initial
fee of $6 plus $3 per mile. The total fare was $24, not including the tip. How many
miles did mike travel by taxi on this ride?
A. 2
B. 6
C. 8
D.10

Answer:

The solution of the first image is: b = √48

The solution of the second image is: c = √125

Step-by-step explanation:

Here we have two triangle rectangles, first, we need to remember the Pythagorean theorem.

For a triangle rectangle with cathetus A and B, and a hypotenuse H, we have the relationship:

A^2 + B^2 = H^2

Where H is the side that is opposite to the right angle (the angle of 90°)

In the first image, we can see that the hypotenuse is equal to 8, and one cathetus is equal to 4.

We want to find the value of b, that is the other cathetus.

Then we have:

4^2 + b^2 = 8^2

b^2 = 8^2 - 4^2

b^2 = 48

b = √48

Second image:

in this case, c is the hypotenuse, a and b are the cathetus.

We know that:

a = 5, b = 10

Then we have the equation:

a^2 + b^2 = c^2

Now we can replace the above values:

5^2 + 10^2 = c^2

25 + 100 = c^2

125 = c^2

√125 = c

Answer:

It was -∞ < y < ∞

Step-by-step explanation:

None.

The range of the function is ( -∞ to +∞)

A function is a law that relates two variables namely, a dependent and an independent variable.

A function always has a defined range and domain, domain is all the value a function can have as input and range is all the value that a function can have.

The function is of various types, logarithmic, exponential, quadratic, radical, etc.

The function is shown in the image,

The function is a hyperbolic function, represented by x²/a² -y²/b² = 1 for a hyperbola having a center at the origin.

The function can give any value from the set of real numbers and so,

The range of the function is a set of real numbers.

It seems your question is incomplete, the complete question is attached as an image.

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Answer: 5 over 5

Step-by-step explanation:

Answer:

the slope is 5/4

Answer:

B and D on edg

Step-by-step explanation:

just did it

Answer:

20i - 13m. look at the picture

Answer:

Step-by-step explanation:

Answer:

( 3[tex]x[/tex] - 5 ) ( [tex]x[/tex] + 1 )

Step-by-step explanation:

[tex]3x^{2}[/tex] - 2[tex]x[/tex] - 5

(Multiply 3 from [tex]3x^{2}[/tex] with -5)

Product = -15

Sum = -2

(3 times - 5 gives the product '-15' and 3 plus -5 gives the sum -2)

[tex]3x^{2}[/tex] + 3[tex]x[/tex] - 5

3[tex]x[/tex] ( [tex]x[/tex]  + 1 ) - 5 ( [tex]x[/tex] + 1 )

= ( 3[tex]x[/tex] - 5 ) ( [tex]x[/tex] + 1 )

Answer:

B

Step-by-step explanation:

When you insert

[tex] \sqrt{15} [/tex]

into you calculator you will get : 3.8729833....

and point B is located around that value.

Answer:

The numbers are 13 , 16

Step-by-step explanation:

First number be x

Second number be y

x - y = -3 --------------------(I)

x = -3 +y

8x + 5y = 184  ---------------(II)

substitute x = -3 + y in equation(I)

8*(-3 + y) + 5y = 184

-24 + 8y + 5y = 184

-24 + 13y = 184

         13y = 184 + 24

         13y = 208

            y = 208/13

y = 16

Plugin y = 16 in (I)

x - 16 = -3

      x = -3 +16

    x = 13

Answer:coo

Step-by-step explanation:Cooke.

The amount of paint which will Becca need to paint the birdhouse in 1 coat is 418 cm².

Surface area of any solid or the 3 dimensional body is the area of each faces by which the solid body is enclosed.

The surface area of rectangular prism can be given as,

[tex]SA=2(wl+hl+hw)[/tex]

Here, (w) is the width, (h) is the height and (l) is the length of the prism.

Becca is painting a birdhouse. The shape of the birdhouse is similar to rectangular prism with dimensions as, height of 13cm, a width of 5 cm, and a length of 8cm.

Now Becca wants to paint this house using 1 coat. As this paint has to be cover each surface of the house. Thus the amount of total paint should be equal to the surface area of the house.

Here, the dimensions of house is as, height of 13cm, a width of 5 cm, and a length of 8cm. Therefore the surface area of it is,

[tex]SA=2(5\times8+13\times8+13\times5)\\SA=418\rm cm^2[/tex]

Hence, the amount of paint which will Becca need to paint the birdhouse in 1 coat is 418 cm².

Learn more about the surface area here:

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Answer:

79

Step-by-step explanation:

Sense all the lines are straight, and will never cross, then adjacent angles must always add up to 180 degrees. 3 and 4 are adjacent. Thus they must add up to 180. So set up as 101 + x = 180. x=180 - 101, and find that x = 79. Plug x back into check. 101 + 79 = 180. and 180= 180. The answer is 79 degrees.

Answer:

Step-by-step explanation:

2.8 + 6.5 = 9.3

Answer:

9.3

Step-by-step explanation:

2.8+6.5=9.3

You'd use addition to solve this

Answer:

1. x=6 y=7

hope that helps!

Answer:

i think is C

Step-by-step explanation:

Answer:

Its C

Step-by-step explanation:

Brain

Answer:

v=−27

Step-by-step explanation:

Since v is on the right side of the equation, switch the sides so it is on the left side of the equation.

−6(3v−4)+8v=4(v+7)

Simplify −6(3v−4)+8v

−10v+24=4(v+7)

Simplify 4(v+7).

−10v+24=4v+28

Move all terms containing v to the left side of the equation.

−14v+24=28

Move all terms not containing v to the right side of the equation.

−14v=4

Divide each term by −14 and simplify.

v=−27

The result can be shown in multiple forms.

Exact Form:

v=−27

Answer:

y= -12

Step-by-step explanation:

4x+8 = -x+3 -> Find x by  using all information

5x=-5  -> Simplify

x=-1   -> Solve

y=-12  -> Plug in to find y

Answer:

x = -3

y = -8

Step-by-step explanation:

2y = x - 13

3x = y - 1;  let y = 3x + 1

substitute to solve for 'x':

2(3x + 1) = x - 13

6x + 2 = x - 13

5x + 2 = -13

5x = -15

x = -3

solve for 'y':

3(-3) = y - 1

-9 = y - 1

-8 = y

Answer:

(-3,-8)

Step-by-step explanation:

Get one of the variables by themself.

3x = y-1

y = 3x+1

Plug that equation into the other one

2(3x+1) = x-13

Distribute the 2 to 3x+1

6x+2 = x-13

Combine like terms

6x+2 = x-13

-x       -x

5x+2 = x-13

    -2        -2

5x = -15

Divide by 5 on both sides

5x = -15

÷5   ÷5

x = -3

Find y

3(-3) = y-1

-9 = y-1

+1       +1

y = -8

Answer:

G 15.99h > 188.55 + 9.75h

Step-by-step explanation:

Answer:

35 miles

Step-by-step explanation:

Answer:

35 miles

Step-by-step explanation:

2.5 x 14

Answer:

1 1/4 cups

Step-by-step explanation:

you feed your dog 1/4 cups of food each day. You do this for five days. So we can set up an equation 5*1/4 = 1 1/4 cups.

Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

Answer:

[tex]\frac{1}{16}[/tex] is the answer

Step-by-step explanation:

you have to evaluate [tex](7-3)^{-2}[/tex] and the answer comes up to [tex]\frac{1}{16}[/tex]

Answer:

$130

Step-by-step explanation:

If Nathan already has $90 then you would add the amount of money collected after the 4 weeks. In each week he makes $10.

The equation would be $90+($10x4)= $X

Answer:

9/16 square yd

Step-by-step explanation:

Answer:

it would be three yards for the area

Step-by-step explanation:

when i first saw this i thought it said elmo

Answer:

3%

Step-by-step explanation:

Blake bought a new car. He borrowed $12,500 from the bank. After 4 years he had paid off the loan and paid $1500 in interest. What rate did he borrow at?

This is a simple interest question

The formula to find the rate is given as:

Equation:

r = (1/t)(A/P - 1)

t = time = 4 years

P = Principal = $12500

I = Simple Interest = $1500

A = Total Amount = Principal + Simple Interest = $12500 + $1500

= $14000

Calculation:

Solving our equation:

r = (1/4)((14000/12500) - 1) = 0.03

r = 0.03

Converting r decimal to R a percentage

R = 0.03 * 100 = 3%/year

Answer:

p= 1/4 or 0.25

Step-by-step explanation:

Answer:

p = 1/4 or .25

Step-by-step explanation:

We first multiply by the reciprocal of fraction to move to the other side.

[tex]p + 1 = \frac{5}{4} [/tex]

Reduce

p = 1/4

Answer:

5+8

Step-by-step explanation: