An airport limo service charges riders a fixed charge of $15 plus
$4.00 per mile. How many miles must a rider go to have an
average cost per mile of $4.60?

Because here there are 5 zeroes so 0.00003 can be written as 3/100000 , here 100000 = 10⁵ . Now , 3/10⁵ → 3 × 1/10⁵ → 3 × 10-⁵

Hence , 0.00003 = 3 × 10-⁵ . So it is -5

Answer: 0.0625

Step-by-step explanation:

Answer:

x = -4

Step-by-step explanation:

x+y = -10 -------- (1)

x-y = 2 ------- (2)

from (1)

x+y = -10

y = -10-x -------- (3)

substitute (3) into (2)

x-y = 2

x-(-10-x) = 2

x+10+x = 2

2x = 2-10

2x = -8

x = -8/2

x = -4

Answer:

Step-by-step explanation:

Change f(x) → x, and x → y, and solve for y:

y = f⁻¹(x)

Answer:

210 cm²

Step-by-step explanation:

The net of the right trapezoidal prism consists of 2 trapezoid base and four rectangles.

Surface area of the trapezoidal prism = 2(area of trapezoid base) + area of the 4 rectangles

✔️Area of the 2 trapezoid bases:

Area = 2(½(a + b)×h)

Where,

a = 7 cm

b = 11 cm

h = 3 cm

Plug in the values

Area = 2(½(7 + 11)×3)

= (18 × 3)

Area of the 2 trapezoid bases = 54 cm²

✔️Area of Rectangle 1:

Length = 6 cm

Width = 3 cm

Area = 6 × 3 = 18 cm²

✔️Area of Rectangle 2:

Length = 7 cm

Width = 6 cm

Area = 7 × 6 = 42 cm²

✔️Area of Rectangle 3:

Length = 6 cm

Width = 5 cm

Area = 6 × 5 = 30 cm²

✔️Area of Rectangle 4:

Length = 11 cm

Width = 6 cm

Area = 11 × 6 = 66 cm²

✅Surface area of the trapezoidal prism = 54 + 18 + 42 + 30 + 66 = 210 cm²

Answer:

-4539

Step-by-step explanation:

147 + 130 + 113 + 96 +

arithmetic, with

a = 147 and d 130 - 147 = -17

Sn = (n/2)(2a + d(n - 1))

S34 = (34/2)(2*147 - 17(34 - 1))

= 17(294 - 561)

hope it helps!

Answer:

What’s pad let?

Step-by-step explanation:

Answer:

24 + 6

Step-by-step explanation:

Answer:

Please check the explanation.

Step-by-step explanation:

                                                      Part a)

Given the table

Year             Value ($)

1                    18,000

2                   15,300                

3                   13,005

Let us check the sequence

18000, 15300, 13005,...

Let us find the common ratio 'r' of all the adjacent terms to check whether the sequence represents the geometric sequence or not, using the formula such as:

[tex]\:r=\frac{a_{n+1}}{a_n}[/tex]

[tex]\frac{15300}{18000}=\frac{17}{20},\:\quad \frac{13005}{15300}=\frac{17}{20}[/tex]

As the ratio of all the adjacent terms is the same, so

[tex]r=\frac{17}{20}[/tex]

Therefore, the given sequence is a geometric sequence

                                                  Part b)

Given the sequence

18000, 15300, 13005,...

The nth term of the geometric sequence is

[tex]a_n=a_1\cdot r^{n-1}[/tex]

here

[tex]a_1=18000[/tex]

[tex]r=\frac{17}{20}[/tex]

so

[tex]a_n=18000\left(\frac{17}{20}\right)^{n-1}[/tex]

In order to determine the car worth in the 15th year, substitute n = 15

[tex]a_{15}=18000\left(\frac{17}{20}\right)^{15-1}[/tex]

[tex]a_{15}=18000\frac{17^{14}}{20^{14}}[/tex]

[tex]a_{15}=18000\times \:\:0.10276[/tex]

[tex]a_{15}=1850[/tex] $

Therefore, the worth of a car in the 15th year will be: $1850

Answer:

the answer is -117/424, hope this helps :)

Answer:

A. (fraction negative 1 and 1 over 4, fraction 3 over 4)

Step-by-step explanation:

Coordinates of point A cam be represented as (x, y). That is where point A cam be traced from the x-axis is the value of x, while the y-value is the point we can trace from the y-axis side ways to point A.

So, Point A from the x-axis, we have x = -1¼, and from the y-axis, we have y = 3/4.

Coordinates of point A cam be written as:

(-1¼, ¾).

Given:

Player 1 is at (-7,5).

Player 2 is at (7,5).

To find:

The relationship between the positions of the two players.

Solution:

The two points are (-7,5) and (7,5).

Here, x-coordinates are different but y-coordinates are same. The absolute values of x-coordinates are equal but the signs are different.

The transformation is defined as

[tex](x,y)\to (-x,y)[/tex]

It means, the points are mirror image of each other with respect to y-axis.

Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.

Therefore, the correct option is C.

Step-by-step explanation:

[tex]\bullet\hookrightarrow\sf 7 (x+4)=21 [/tex]

[tex]\bullet\Rrightarrow\sf 7x+28=21 [/tex]

[tex]\bullet\rightarrowtail\sf 7x=21-28 [/tex]

[tex]\bullet\twoheadrightarrow\sf 7x=-7 [/tex]

[tex]\bullet\looparrowright\sf x=\dfrac{-7}{7}[/tex]

[tex]\bullet\rightharpoonup\sf x=-1 [/tex]

Answer:

C. Right and isosceles

Explanation:

Since two sides of the triangle are equal in length ([tex]DE[/tex] and [tex]DF[/tex]), this means that the triangle is an isosceles triangle. Since [tex]EF[/tex] is the hypotenuse of this triangle, it also means that the triangle is a right-angle triangle (the hypotenuse refers to the longest side of a right triangle). Therefore, we can conclude that ΔDEF is right and isosceles.

Hope this helps :)

Answer:

It is C.

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

Step-by-step explanation:

Answer:

3.75 or 3 3/4

Step-by-step explanation:

Answer:

3.75 or 3 3/4

Step-by-step explanation:

2 1/2 or 2.5 x 1 1/2 or 1.5 is 3 3/4 or 3.75

Hope it helps!

Answer:

a. $22.50

b. 60%

c. $12.60/hr

Step-by-step explanation:

a. $900*0.025 = $22.50

b. $80-$50 = $30

$30/$50 = .60

.60*100% = 60%

c. $12*1.05 = $12.60

Answer:

1. $22.50

2. 60%

3. $12.60

Step-by-step explanation:

This time I put all three answers check for yourself

Answer:

1

Step-by-step explanation:

in an equilateral triangle all the sides are equal

in step 2 he made his first mistake

1/2(n-4)-3=3-(2n+3)

1/2n-4/2-3=3-(2n+3)

1/2n-2-3=3-(2n+3)

in the second step he put 5 instead of 2.

Answer:

8 cups of shampoo concentrate

Step-by-step explanation:

let x=how much shampoo concentrate Devin should add

[tex]\frac{2}{9} =\frac{x}{36}[/tex]

cross multiply

2*36=9x

72=9x

72/9=x

x=8

Devin should add 8 cups of shampoo concentrate to the water to make the shampoo solution.

Answer:

-0(10 x 9)=90

Answer:

An equation is a math sentence that DOES contain an equals sign (=).

The inverse of addition is subtraction.

The inverse of subtraction is addition.

The inverse of multiplication is division.

The inverse of division is multiplication.

Step-by-step explanation:

I'm sorry if I got the first one incorrect.

Answer:

False

Step-by-step explanation:

As of 2017, 5 states (Alaska, Delaware, Montana, New Hampshire and Oregon) do not levy a statewide sales tax. California has the highest base sales tax rate, 7.25%. Including county and city sales taxes, the highest total sales tax is in Arab, Alabama, 13.50%.

Given:

p and q are the two distinct solutions to the equation

[tex](x-3)(x+3)=21x-63[/tex]

To find:

The value of p-q if p>q.

Solution:

We have,

[tex](x-3)(x+3)=21x-63[/tex]

[tex](x-3)(x+3)=21(x-3)[/tex]

[tex](x-3)(x+3)-21(x-3)=0[/tex]

[tex](x-3)(x+3-21)=0[/tex]

[tex](x-3)(x-18)=0[/tex]

Using zero product property, we get

[tex]x-3=0\text{ and }x-18=0[/tex]

[tex]x=3\text{ and }x=18[/tex]

Here, 18>3, so p=18 and q=3.

Now,

[tex]p-q=18-3[/tex]

[tex]p-q=12[/tex]

Therefore, the value of p-q is 12.

Answer:

The answer is 5, the "Expert Verified" is wrong :)

Step-by-step explanation:

First we try factoring the left side to simplify it. Now we can multiply both sides by (x+5)and solve.

Answer: -11/5

Step-by-step explanation:

[tex]\frac{11}{7}[/tex]÷[tex]\frac{-15}{21}[/tex]

-[tex]\frac{11}{7}[/tex]× [tex]\frac{21}{15}[/tex]

-11×[tex]\frac{3}{15}[/tex]

-11 × [tex]\frac{1}{5}[/tex]

g = 1

Get variable onto one side of equation and simplify:

3g - 8 = g - 6

2g = 2

g = 1

Answer:

24

Step-by-step explanation:

Answer:

The value is equvilant to 24

12−(−13)−1

=24

The problem was already simplified-

Oh and try using this website called math papa its an algebra calculator it really helps and it even shows you the step by step process!

Answer:

You have to divide 46 by 6. thats all I know sorry

Step-by-step explanation:

Each student gets 7 pencils.

What are mathematics operations?

A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.

• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.

Here, it is given that :

Mr. Rodriguez purchased 46 pencils to give to the students he tutors

and number of students = 6

Therefore, to find number of pencils each student get we divide 46 with 6 :

pencils will each student get = 46/6

pencils will each student get ≈ 7

as each student get equal number of pencils then 4 pencils are left with Mr. Rodriguez after giving 42 pencils to the students.

Therefore, each student gets 7 pencils.

Read more about mathematics operations at:

https://brainly.com/question/1512595

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