All categories

2 years ago

A taxi ride costs $4, plus an additional $3 per mile. What's the equation? (mx+b)

Mathematics

1 answer:

cestrela7 [59]2 years ago

6 0

Answer:

3x+4

Step-by-step explanation:

3 dollars per mile = 3x

plus 4 dollars for taxi ride.

You might be interested in

Rewrite the expression 4+<img src="https://tex.z-dn.net/?f=%5Csqrt%7B16-%284%29%285%29%7D" id="TexFormula1" title="\sqrt{16-(4)(

Inessa05 [86]

Answer:

$2+i$

Step-by-step explanation:

Given the expression:

$\dfrac{4+\sqrt{16-(4)(5)}}{2}$

To find:

The expression of above complex number in standard form $a+bi$ .

Solution:

First of all, learn the concept of $i$ (pronounced as <em>iota</em>) which is used to represent the complex numbers. Especially the imaginary part of the complex number is represented by $i$ .

Value of $i =\sqrt{-1}$ .

Now, let us consider the given expression:

$\dfrac{4+\sqrt{16-(4)(5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-(4\times 5)}}{2}\\\Rightarrow \dfrac{4+\sqrt{16-20}}{2}\\\Rightarrow \dfrac{4+\sqrt{-4}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)(4)}}{2}\\\Rightarrow \dfrac{4+\sqrt{(-1)}\sqrt4}{2}\\\Rightarrow \dfrac{4+\sqrt4i}{2} \ \ \ \ \ (\because \sqrt{-1} =i) \\\Rightarrow \dfrac{4+2i}{2}\\\Rightarrow 2+i$

So, the given expression in standard form is $2+i$ .

Let us compare with standard form $a+bi$ so we get $a =2, b =1$ .

$\therefore$ The standard form of

$\dfrac{4+\sqrt{16-(4)(5)}}{2}$

is: $\bold{2+i}$

8 0

2 years ago

Math answer with work cause it need proof ASAP

Viktor [21]

Answer:

[See Below]

Step-by-step explanation:

__________________________

✦ Solve for $(1*10)+(4*1)+(7*0.01)+(2*0.001)$ :

__________________________

✦ Solve Parenthesis first:

$(1*10)=\bold1\bold0$

$(4*1)=\bold4$

$(7*0.01)=\bold0\bold.\bold0\bold7$

$(2*0.001)=\bold0\bold.\bold0\bold0\bold2$

__________________________

✦ Add all the values together:

$10+4+0.07+0.002=\bold1\bold4\bold.\bold0\bold7\bold2$

__________________________

So Mikayla wrote the decimal correctly.

__________________________

~<em>Hope this helps Mate. If you need anything feel free to message me.</em>

$-Your~ Friendly ~Answerer,~ Shane$ ☺

5 0

2 years ago

Rectangle STUV has square PQRS removed, leaving an area of 92 m^2. Side PT is 4 m in length and side RV is 8m in length

Andrei [34K]

Answer:

117 $m^{2}$

Step-by-step explanation:

First think of the square that was removed. All 4 sides are equal but you don't know the length so lets gives them the variable X.

So to find the area of the rectangle, insert those variables into the area equation for a rectangle.

(RV + (X) ) (PT +(X)) = rectangle area

Now you are given what the area is if you remove the square. So subtract the the square's area from the equation above and set it equal to the size they told you.

(RV + (X)) (PT + (X)) - [(X)(X)] = 92 $m^{2}$

rectangle - square = remaining area

Now plug in the numbers you know and solve for X.

(8 + X) (4 + X) - ((X)(X)) = 92

Use FOIL to multiply the first part of the equation (first, outer, inner, last)

32 + 8x + 4x + $x^{2}$ - $x^{2}$ = 92

32 + 12x = 92

12x = 60

x = 5

So now you know the size of the square. Each side is 5m. So add 5m onto the top of the rectangle and onto the side. The top is 13m and the side is 9m. The area of the rectangle is the length times the height to 13 x 9 which is 117 $m^{2}$

6 0

2 years ago

Sky bought $22.50 worth of paint supplies at a store that sells brushes for $1.50 each and tubes of paint for $2.50 each. Let b

expeople1 [14]

Answer:

b = 10 , t = 3

Step-by-step explanation: