A taxi charges a $3 initial fee,plus $1.50 per mile traveled.
What is the total cost of a 4.5- mile taxi trip?

A $9.00

B $9.50

C $9.75

D $10.00

To determine the ordered pair that is a solution, we need an equation or a system of equations.

The question asks to highlight the ordered pair that is a solution. To do this, you would need an equation or a system of equations to solve. Without the equation(s), it is not possible to determine the ordered pair that is a solution. Please provide the equation(s) so we can help you further.

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The interest earned is $14.

To find the interest earned, we can use the formula for simple interest:

[tex]\[ \text{Simple Interest} = \frac{P \times R \times T}{100} \][/tex]

Where:

- [tex]\( P \)[/tex]is the principal amount (the initial amount of money) [tex]= $800[/tex]

-[tex]\( R \)[/tex]is the interest rate per period (in decimal form) [tex]= 3.5% = 0.035[/tex]

-[tex]\( T \)[/tex] is the time the money is invested for (in years)[tex]= 6 months = 0.5 years[/tex]

Now, plug in the values:

[tex]\[ \text{Simple Interest} = \frac{800 \times 3.5 \times 0.5}{100} \][/tex]

[tex]\[ \text{Simple Interest} = \frac{800 \times 3.5 \times 0.5}{100} \][/tex]

[tex]\[ \text{Simple Interest} = \frac{800 \times 1.75}{100} \][/tex]

[tex]\[ \text{Simple Interest} = \frac{1400}{100} \][/tex]

[tex]\[ \text{Simple Interest} = \[14 \][/tex]

Complete correct question:

Principal = $800

Interest Rate = 3.5%

Time = 6 months

Find the interest earnedi

Answer:

10.6

Step-by-step explanation:

1. 2(6-2/3)

a. 2(5.33)

b. 10.6

Answer:

32/3, 10 2/3, 10.67

Step-by-step explanation:

First, we can set up the expression.

2(6-2/3)

Use the distributive property.

12-4/3

Get a common denominator.

12*3/3=36/3

36/3-4/3

32/3

or

10 2/3

or

10.66 (repeated)

Round it to 10.67

Answer:

the first option

Step-by-step explanation:

the formula to find the surface area of a cylinder is

2πrh+2πr²

Answer:

A=2πrh+2πr2=2·π·4·16+2·π·42≈502.65482

Step-by-step explanation:

up there

Answer:

The width of 48 feet is represented by 12.8cm; the length represented by 1cm is 48/12.8 = 15/4 = 3.75 feet.

The length on the drawing is 3.2cm, which is exactly 1/4 of the width of 12.8cm; therefore the length of the actual parking lot is 48/4 = 12 feet.

To find the actual length of a parking lot based on a scale drawing, you need the scale, which is often given as a ratio like '1 cm : 10 ft'. You would multiply the length on the drawing by the scale value to get the actual length. However, without the scale, a definitive answer cannot be provided.

To find the actual length of the parking lot, you need to know the scale of the drawing, which is not provided in the current question. The scale is usually expressed as a ratio, essentially representing a conversion factor. An example could be '1 cm : 10 ft', meaning every one centimeter on the drawing represents ten feet in real life.

Let's say the scale is '1 cm : 10 ft' as an example. You would then multiply the scale value (10 ft) by the length of the parking lot on the drawing (3.2 cm). So: 3.2 cm * 10 ft/cm = 32 ft. Hence, in this example, the actual length of the parking lot would be 32 feet. However, without the scale, we cannot provide a definitive answer.

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Answer:

B) (-2,1)

Step-by-step explanation:

The solution is where the two lines intersect, in this case at (-2,1)

Hope this helps! :)

Answer:

B) (-2, 1)

Step-by-step explanation:

2 units left from the origin

So x = -2

1 unit up

So y = 1

Answer:a

Step-by-step explanation:

Answer:

(x, y ) → (x - 4, y )

Step-by-step explanation:

A horizontal move of 4 to the left means subtract 4 from the x- coordinate, leaving the y- coordinate unchanged, thus

(x, y ) → (x - 4, y ) ← translation rule

Answer:

(x, y) Right-arrow (x – 4, y)

Step-by-step explanation:

just did it

Answer:

x= -8

Step-by-step explanation:

Answer:

x= -8

Step-by-step explanation:

Answer:

(-10, -3)

Step-by-step explanation:

()  excludes -10 and -3 so it only includes the numbers in between.

The set builder notation is {x: x ∈ Z⁻, -10 < x < -3} and the set is {-9, -8, -7, -6, -5, -4}

It is given the set of numbers that are greater than -10 and less than -3.

Since they are negative integers, so all the required numbers also belong to the same category of numbers.

So, it is represented by Z⁻

Then, the set builder notation is

{x: x ∈ Z⁻, -10 < x < -3} and

The set is {-9, -8, -7, -6, -5, -4}

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Answer:

11 ft

Step-by-step explanation:

The ring takes circular shape and for a circle, circumference is given by

[tex]C=\pi d[/tex]

Where C represent circumference and d is the diameter.

Taking use 3.14 for pi as instructed and substituting 3.5 ft for diameter d then

C=3.14*3.5=10.99 ft

Rounding off, this is approximately 11 ft

Answer:

10.99 ft

Step-by-step explanation:

Given: The ring has a diameter of 3.5 feet

To find: The ring's circumference

Formula: [tex]C = 2\pi r[/tex]

Solution: To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2 × radius with pi (π = 3.14).

C = pi × 2r

C = pi × diameter (3.5)

C = 3.14 × 3.5 = 10.99

Hence, the ring's circumference is 10.99 ft

Answer:

C; E

Step-by-step explanation:

They are the only 2 equivalent expressions

Answer:

C & E is the correct answer.

The value of [tex]\( x \)[/tex] in a prism with volume [tex]\( 90 \)[/tex] cubic meters is approximately [tex]\( 2.466 \)[/tex] meters.

To find the value of [tex]\( x \)[/tex], knowing the volume [tex]\( V \)[/tex] of the prism, use the formula:

[tex]\[ V = l \times w \times h \][/tex]

Given [tex]\( V = 90 \)[/tex] cubic meters, if we assume the length [tex]\( l = 3x \)[/tex], width [tex]\( w = 2x \)[/tex], and height [tex]\( h = x \)[/tex], then:

[tex]\[ 90 = (3x) \times (2x) \times (x) \][/tex]

[tex]\[ 90 = 6x^3 \][/tex]

[tex]\[ x^3 = \frac{90}{6} \][/tex]

[tex]\[ x^3 = 15 \][/tex]

[tex]\[ x = \sqrt[3]{15} \][/tex]

[tex]\[ x \approx 2.466 \] meters.[/tex]

Answer:

Varible x equals 2

Step-by-step explanation:

7x = 14

Dividing both sides by 7, we will have

x = 14/7

x = 2

Answer:

I think u=11

Step-by-step explanation:

A=6a^2

726 divided by 6= 121

square root of 121=11

answer=11

Answer:

(x + 2/3)^2 + (y + 3/4)^2 = 5^2

Step-by-step explanation:

Apply the general formula for a circle:  (x - h)^2 + (y - k)^2  = r^2, where (h, k) is the center and r is the radius.  Since the center is (-2/3, -3/4), and r = 5, we get:

(x + 2/3)^2 + (y + 3/4)^2 = 5^2

Answer:

12

Step-by-step explanation:

To solve for a side using pythag:

[tex]\sqrt{37^2-35^2}[/tex]

Correct option is D) A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.

Step-by-step explanation:

We have following inequality :2 x + 3 greater-than negative 9 or ,

⇒ [tex]2x+3>-9[/tex]

Let's solve this :

⇒ [tex]2x+3>-9[/tex]

⇒ [tex](2x+3)+9>-9+9[/tex]

⇒ [tex]2x+12>0[/tex]

⇒ [tex](2x+12)-12>0-12[/tex]

⇒ [tex]2x>-12[/tex]

⇒ [tex]x>-6[/tex]

So , the value of x is greater then -6 . So , Correct option is D) A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.

Answer:

The person in the comments said...

The answer is c. When your dividing by a negative number the arrow is turned around.

Step-by-step explanation:

Hi, have a great day/night whichever one, stay safe and always be kind ^w^

p.s. i'm giving all the credit to the person in the comments

Answer:

55 of people

The cost of each item that Danny bought in this case are: Pass of the fair was of $21, the cost of souvenir was $14 and the cost of burger was $3.5

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Given that:

The cost of burger is expressed in terms of cost of souvenir and of souvenir in terms of the cost for pass.

So, let we take:
Cost of pass = x dollars,

Then, cost of souvenir = 2/3 of x = 2x/3 dollars

And the cost of burger = 1/4 of cost of souvenir = 1/4 (2x/3) = [tex]\dfrac{2x}{12} = \dfrac{x}{6}[/tex] dollars.

Also, we have:

Total initial amount = Amount spent + Amount remaining

or

43 = Cost of all those 3 items + 4.5

[tex]43 = x + \dfrac{2x}{3} + \dfrac{x}{6} + 4.5\\43 = \dfrac{6x}{6} + \dfrac{4x}{6} + \dfrac{x}{6} + 4.5\\\\43 = \dfrac{11x}{6} + 4.5\\\\\text{Subtracting 4.5 from both the sides}\\\\43-4.5 = \dfrac{1x}{6}\\\\\\dfrac{11x}{6} = 38.5\\\\\text{Multiplying 6/11 on both the sides}\\\\x = \dfrac{6 \times 38.5}{11} = 21[/tex]

Thus, the cost of pass was $21

Now, we get:

Cost of souvenir = 2x/3 = [tex]\dfrac{2(21)}{3} = 2\times7 = 14[/tex] dollars,

and cost of burger = [tex]\dfrac{x}{6} = \dfrac{21}{6} = 3.5[/tex] dollars.

Thus, the cost of each item that Danny bought in this case are: Pass of the fair was of $21, the cost of souvenir was $14 and the cost of burger was $3.5

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Answer:

13-4n

Step-by-step explanation:

The generic formula to calculate this is. a+(n-1) d

“a” is the first term and “d” is the difference in our case “a” is 9 and “d” is -4

9+(n-1)(-4)

9-4n+4

13-4n

Answer:

[tex]a_{n}[/tex] = 13 - 4n

Step-by-step explanation:

Note the common difference d between consecutive terms, that is

d = 5 - 9 = 1 - 5 = - 3 - 1 = - 7 - (- 3) = - 4

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 9 and d = - 4, thus

[tex]a_{n}[/tex] = 9 - 4(n - 1) = 9 - 4n + 4 = 13 - 4n ← explicit equation

Answer:

About 1691.886 gallons.

Step-by-step explanation:

The firs step is to find the volume of the pool in cubic feet. The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], which in this case is [tex]\pi \cdot 6^2 \cdot 2\approx 226.188[/tex] cubic feet. Multiplying this by 7.48, you get a total of about 1691.886 gallons of water. Hope this helps!

Answer:

56-3=N

Step-by-step explanation:

David starts with 56 baseball cards and sells 3 per week, so the equation representing the cards remaining after W weeks is n = 56 - 3W.

The equation that represents the number of baseball cards David has left at the end of any given week W is n = 56 - 3W. Here, 'n' stands for the number of cards he has left, '56' is the initial number of cards, '3' is the number of cards he sells each week, and 'W' is the number of weeks that have passed.

For example, at the end of week 1 (when W = 1), David will have:
n = 56 - 3(1) = 56 - 3 = 53 cards left.

At the end of week 2 (when W = 2), it would be:
n = 56 - 3(2) = 56 - 6 = 50 cards remaining.
This pattern continues as more weeks pass.

The values are vx = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex], vw = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex] and m∠x = 45°, for the given right angle diagram.

Step-by-step explanation:

The given is,

                Right angled triangle XVW,

                                     XW = 14[tex]\sqrt{3}[/tex]

                                   m∠V = 90°

                                  m∠W = 45°

Step:1

              Given diagram is right angle triangle,

              Trigonometric ratios for right angle is,

                                 [tex]sin[/tex] ∅ [tex]=\frac{Opp}{Hyp}[/tex]............................(1)

                                  [tex]cos[/tex] ∅ [tex]= \frac{Adj}{Hyp}[/tex] .........................(2)

                                  [tex]tan[/tex] ∅ [tex]= \frac{Opp}{Hyp}[/tex]..........................(3)

Step:2

             For the value of VX,

                                   [tex]sin[/tex] ∅ [tex]=\frac{VX}{XW}[/tex]

            From given,

                               ∅ = 45°

                           XW = 14[tex]\sqrt{3}[/tex]

           Above equation becomes,

                                     [tex]sin[/tex] 45 [tex]=\frac{VX}{14\sqrt{3} }[/tex]

            Where, Sin 45 = [tex]\frac{1}{\sqrt{2} }[/tex],

                                            [tex]\frac{1}{\sqrt{2} } = \frac{VX}{14\sqrt{3} }[/tex]

                                           [tex]VX = \frac{14\sqrt{3} }{\sqrt{2} }[/tex]

Step:3

              For the value of VW,

                                   [tex]cos[/tex] ∅ [tex]=\frac{VW}{XW}[/tex]

            From given,

                               ∅ = 45°

                           XW = 14[tex]\sqrt{3}[/tex]

           Above equation becomes,

                                     [tex]cos[/tex] 45 [tex]=\frac{VW}{14\sqrt{3} }[/tex]

            Where, cos 45 = [tex]\frac{1}{\sqrt{2} }[/tex],

                                            [tex]\frac{1}{\sqrt{2} } = \frac{VW}{14\sqrt{3} }[/tex]

                                           [tex]VW = \frac{14\sqrt{3} }{\sqrt{2} }[/tex]

Step:4

             For the value m∠x = a,

                                      [tex]tan[/tex] a [tex]=\frac{VX}{VW}[/tex]

            From given,

                            VX = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex]

                           VW = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex]

           Above equation becomes,

                                     [tex]tan[/tex] a [tex]=\frac{\frac{14\sqrt{3} }{\sqrt{2} } } {\frac{14\sqrt{3} }{\sqrt{2} } }[/tex]

                                      [tex]tan[/tex] a = 1

                                             a = [tex]tan^{-1}[/tex] (1)

                                             a = 45°

                                 m∠x = a = 45°

Step:5

            Check for solution,

                         m∠v  = m∠w + m∠x

                                   = 45° + 45°

                            90° =   90°

Result:

            The values are vx = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex], vw = [tex]\frac{14\sqrt{3} }{\sqrt{2} }[/tex] and m∠x = 45°, for the given right angle diagram.

Answer:

C) 78 ft2

step-by-step explanation:

(2) is the one you want to find out.

Volume= 45 ft2

Surface area= 78 ft2

Answer:

  15

Step-by-step explanation:

Let x represent the number of algebra problems. Then the number of geometry problems was 27-x and the total working time was ...

  2x +5(27 -x) = 90

  -3x = 90 -135 . . . . subtract 135

  x = -45/-3 = 15 . . . divide by -3

Rob had 15 algebra problems for homework.

Answer:

15 problems

Step-by-step explanation: