a taxi cost $1.65 for the 1st Mile and $0.85 for each additional mile. Which equation could be solved to find the number x of additional miles traveled in the taxi given that the total cost of the trip is $20?

Answers

Answer 1
x = additional mile

0.85x + 1.65 = 20

to solve it:
subtract 1.65 from both sides. afterwards, divide both sides by 0.85 to find x!

Related Questions

Cheryl paid $3.00 for a pair of socks and eight times as much for a pair of shoes. Her brother Kevin also bought socks and shoes but paid twice as much as Cheryl did for each. How much money did they spend together ?

Answers

They paid $111 all together.
Cheryl: 3 + 8(3) = 3 + 24 = 27

Kevin: 2(3) + 2(24) = 6 + 48 = 54

27 + 54 = 81

They spent $81.00 all together.

find the domain of
[tex]f(x) = \frac{ \sqrt{x + 2} }{ {x}^{2} - 25 } [/tex]

Answers

See result as an attachment:

Two rectangular prisms have the same volume. The area of the base of the blue prism is 216 square units. The area of the base of the red prism is one third that of the blue prism. Which statement is true?

a) The height of the red prism is one-third the height of the blue prism.

b) The height of the red prism is the same as the height of the blue prism.


c) The height of the red prism is six times the height of the blue prism.


d) The height of the red prism is three times the height of the blue prism.

Answers

V = B*h

Let hb represent the height of the blue prism; let hr represent the height of the red prism.

216*hb = V = (1/3)*(216)*hr
3*hb = hr . . . . . . . . . . . . . . . divide by the coefficient of hr

The 4th selection is appropriate.

Answer:

D

Step-by-step explanation:

Box i contains 4 red and 8 blue marbles while box ii contains 5 red and 3 blue marbles. an unfair coin is tossed –whose probability of turning up heads is 40%. if the coin comes up heads box i is chosen and a random marble is chosen, otherwise if it is tails the marble is chosen from box ii.(a)find the probability a red marble is chosen.(b)if a red marble is chosen, what is the probability it came from box i? (c)if a blue marble is chosen, what is the probability it came from box i?

Answers

Denote by [tex]B_1,B_2[/tex] the event that a marble is drawn from box 1 or 2, respectively, and by [tex]R[/tex] the event that a red marble is drawn. If a blue marble is drawn, we'll denote that by the complement of [tex]R[/tex], or [tex]R^C[/tex].

a. If a red marble is drawn, either it's drawn from box 1 or box 2. The events [tex]B_1[/tex] and [tex]B_2[/tex] are mutually exclusive, so we have

[tex]\mathbb P(R)=\mathbb P((R\cap B_1)\cup(R\cap B_2))=\mathbb P(R\cap B_1)+\mathbb P(R\cap B_2)[/tex]

Now invoke the definition of conditional probability:

[tex]\mathbb P(R)=\mathbb P(B_1)\mathbb P(R\mid B_1)+\mathbb P(B_2)\mathbb P(R\mid B_2)[/tex]

We're explicitly given the probability of drawing from either box. We also know the probabilities of drawing a red marble from box 1 or 2 are, respectively,

[tex]\mathbb P(R\mid B_1)=\dfrac{\dbinom41\dbinom80}{\dbinom{12}1}=\dfrac4{12}=\dfrac13[/tex]

and

[tex]\mathbb P(R\mid B_2)=\dfrac{\dbinom51\dbinom30}{\dbinom81}=\dfrac58[/tex]

So

[tex]\mathbb P(R)=\dfrac25\times\dfrac13+\dfrac35\times\dfrac58=\dfrac{61}{120}\approx0.508[/tex]

b. Given that we draw a red marble, we're looking for the probability that it was drawn from box 1, i.e. [tex]\mathbb P(B_1\mid R)[/tex]. We use Bayes' theorem:

[tex]\mathbb P(B_1\mid R)=\dfrac{\mathbb P(B_1\cap R)}{\mathbb P(R)}=\dfrac{\mathbb P(B_1)\mathbb P(R\mid B_1)}{\mathbb P(R)}[/tex]

which is really just a matter of using the definition of conditional probability to rewrite the numerator on the the right side, as

[tex]\mathbb P(R\cap B_1)=\mathbb P(R)\mathbb P(B_1\mid R)=\mathbb P(B_1)\mathbb P(R\mid B_1)[/tex]

We know [tex]\mathbb P(R)[/tex] from part (a), so we compute

[tex]\mathbb P(B_1\mid R)=\dfrac{\dfrac25\times\dfrac13}{\dfrac{61}{120}}=\dfrac{16}{61}\approx0.262[/tex]

c. Now we look for [tex]\mathbb P(B_1\mid R^C)[/tex], which can be computed similarly.

[tex]\mathbb P(B_1\mid R^C)=\dfrac{\mathbb P(B_1\cap R^C)}{\mathbb P(R^C)}=\dfrac{\mathbb P(B_1)\mathbb P(R^C\mid B_1)}{1-\mathbb P(R)}[/tex]
[tex]\mathbb P(B_1\mid R^C)=\dfrac{\dfrac25\times\dfrac23}{1-\dfrac{61}{120}}=\dfrac{32}{59}\approx0.542[/tex]

John always wears a shirt, pants, socks, and shoes. He owns 12 pairs of socks, 3 pairs of shoes, 5 pairs of pants, and 5 shirts. How many different outfits can John make?

Answers

12 x 3 x 5 x 5 = 900 different outfits

Answer:

900

Step-by-step explanation:

Khan academy

Where is the vertex of the quadratic y = (x -7)2 + 9

Answers

Try this option:
rule: common equation for a parabola is y=ax²+bx+c. If to re-write this equation in the form y=(x+m)²+n, then point (-m;n) is vertex of this parabola.
According to the described rule vertex is (7;9).
The graph of this function is in the attachment.

Final answer:

The vertex of the quadratic function y = (x -7)² + 9 is at the point (7, 9).

Explanation:

Vertex of a quadratic function is the highest or lowest point on the graph of the function. In this case, the quadratic function is in the form y = (x -7)² + 9.

To find the vertex, we notice that the function is in the form y = (x - h)² + k, where (h, k) represents the vertex. Therefore, the vertex of the given quadratic function is at (7, 9).

Which of these is a point-slope equation of the line that is perpendicular to y-3=4(x-10) and passes through(-3,7)

A. y+7=4(x-3)
B. y-7= -1/4(x+3)
C. y+7= -1/4(x-3)
D. y-7= -4x(x+3)

Answers

Try this option:
1. rule: if y+a₁=k₁(x+b₁) ⊥ y+a₂=k₂(x+b₂), then k₁*k₂= -1.
for unknown line k= -1/4.
2. substituting the coordinates (-3;7) into the equations, it is possible to find that 'y-7' and 'x+3'.
3. at the end, if to make up the equation: y-7= -1/4(x+3).

Answer: B

The point-slope equation of the line that is perpendicular to y-3=4(x-10) and passes through(-3,7) is:

B. [tex]y-7=\frac{-1}{4} (x+3)\\[/tex]

The slope intercept form is y=mx+b where m is slope.

We have given perpendicular line as:

y-3=4(x-10)

y-3=4x-40

y=4x-37

The slope intercept form of the given line is

y=4x-37

Slope of this line is m=4

Now, as we know the two perpendicular lines have negative reciprocal slope.

Thus the other line have slope [tex]m=-\frac{1}{4}[/tex]

Now. the equation of line passing through point (-3,7) and having slope [tex]\frac{-1}{4}[/tex] is:

[tex]y-7=\frac{-1}{4} (x+3)\\[/tex]

Therefore the correct option is B.

Learn more: brainly.com/question/18595188

In a line of students ,Jenna is number 8.The teacher says the rule for a number pattern is add4.The first term 7.What number should Jenna say?

Answers

1. You have that the rule for a number pattern is add 4 and the first term is 7.

 2. Let's call "n" to the number in the line where each student is. Then, you can express this as below:

 4n+7

 3. So, you have:

 Student N°1=4(1)+7=11
 Student N°2=4(2)+7=15
 Student N°3=4(3)+7=19
 Student N°4=4(4)+7=23
 Student N°5=4(5)+7=27
 Student N°6=4(6)+7=31
 Student N°7=4(7)+7=35
 Student N°8=4(8)+7=39

 What number should Jenna say?

 The answer is: 39

Brent was looking at his cell phone bill and saw that the total number of texts he has sent is tracked, as shown below:


Month
Texts
1
120
2
237
3
354
4
471


The function representing Brent's texting per month is f(m) = 117m + 3. What does the 117 represent?

Answers

It should be the additional texts per month or D

Answer:

The number of texts he sends per month

Step-by-step explanation:

The function f(m) = 117m + 3 is a linear function, which is in the form f(x) = mx+b.  In this form, m (the number beside our variable) is the slope, or rate of change, and b (the number added or subtracted) is the y-intercept.

In our function, 117 is the number beside the variable, which makes it the slope.  This is the rate of change of this function; it describes how the dependent variable (number of texts) changes for every change in the independent variable (months).  

In other words, it tells how many texts he sends per month.

Noah makes ceramic pots for the market. On the weekends he makes 11 more pots than he does during the week. Noah represented the number of pots he makes on weekends using the expression p + 11. Which expression represents the total mumber of pots Noah made one weekend if he made 14 more than his usual number?

Answers

Answer:
number of pots = p + 25

Explanation:
On weekends, Noah makes 11 pots more than the normal weekdays.
We are given that the equation representing the number of pots is:
number of pots = p + 11
Now, Noah made 14 pots more that his usual numbers, this means that we will add 14 to the usual number of pots that he makes.
Therefore, the equation will become:
number of pots = p + 14 + 11
number of pots = p + 25

Hope this helps :)

8pints compared to 15 cups

Answers

STEP 1:
First we need both in the same unit of measurement.

1 pint= 2 cups

Convert 15 cups to pints:
=15 cups ÷ 2 cups per pint
=7.5 pints

STEP 2:
Find percentage:
=8 pints ÷ 7.5 pints
=1.0666 decimal percent of 8 pints

STEP 3:
Convert to %:
=1.06666 x 100
=106.66% percent 8 is of 7.5 pints

*TIP: if you know you're changing to a percentage from a decimal, you will always move the decimal two places to the right.

ANSWER:
8 pints is 106.66% of 7.5 pints.

Hope this helps! :)

Jeannie's restaurant served 58 customers on Monday. After the first day the amount of customers served decreases at a rate of 2.5% each day.

What is the explicit rule for this situation and approximately how many customers will be served on the 6th day?

Round to the nearest customer.

Drag and drop the answers into the boxes to match the situation.

Explicit rule

Number of customers on the 6th day.

A n = 58 x (0.975) n - 1, A n = 58 x (0.025) n - 1, A n = 58 (1.025) n - 1, 51, 49, 48, 46,

Answers

The rule is to find the percentage then divide

Answer:

51 customers

Step-by-step explanation:

Jeannie's restaurant served 58 customers on Monday.

Rate of decrement  r =2.5 % = 0.025

Formula : [tex]y=a(1-r)^{n-1}[/tex]

A is the initial amount

r is the rate

n is the no. of days

So, Substitute the values

[tex]y=58(1-0.025)^{n-1}[/tex]

[tex]y=58(0.975)^{n-1}[/tex]

So, explicit rule : [tex]A_n=58(0.975)^{n-1][/tex]

Now to find the no. of customers will be served on the 6th day

Substitute n = 6

[tex]A_6=58(0.975)^{6-1}[/tex]

[tex]A_6=51.1035[/tex]

So, 51 customers will be served on the 6th day

Use the expression below to complete the following tasks. (3a2 - 5ab + b2) - (-3a2 + 2b2 + 8ab) What is the additive inverse of the polynomial being subtracted?

Answers

Remember that the additive inverse are two equal numbers (or expressions) but with different signs.
 We have then, that according with the coment below:
 (3a2 - 5ab + b2) - (-3a2 + 2b2 + 8ab)
 the additive inverse is:
 (3a2 - 2b2 - 8ab) Note that is the same expression that
 (-3a2 + 2b2 + 8ab)
 but with different signs.
 Answer:
 the additive inverse of the polynomial being subtracted is 
 (3a2 - 2b2 - 8ab)

Answer:

Option 3

Step-by-step explanation:

edge 2020

if c is the incenter of AMD, AMC=3x+6 AND dmc = 8X-49, FIND EACH MEASURE

Answers

3x+6=8x-49,
-6. -6
__________
3x=8x-55
-8x. -8x
________
-5x=-55
x=11,
3(11)+6=39
8(11)-49=39

Answer:

[tex]m\angle AMC = 39\°[/tex] and [tex]m\angle DMC = 39\°[/tex].

Step-by-step explanation:

As you can observe in the image attached, angles AMC and DMC are congruent, because if point C is the incenter of AMD, that means each line the forms such point is a bisector.

Remember that a bisector is a line that equally divides an angle.

So,

[tex]\angle AMC = \angle DMC\\3x+6=8x-49[/tex]

Solving for [tex]x[/tex], we have

[tex]6+49=8x-3x\\5x=55\\x=11[/tex]

Then, we substitute this value in each expression to find the angles.

[tex]\angle AMC = 3x+6 = 3(11)+6=33+6=39[/tex]

[tex]\angle DMC = 8(11)-49=88-49=39[/tex]

Therefore, the measures of those angles are [tex]m\angle AMC = 39\°[/tex] and [tex]m\angle DMC = 39\°[/tex].

Jack purchased a box of 1,000 candy guitar lollipops to sell in the bakery for $20.00. How much did he pay for each lollipop?

Answers

20 divided by 1,000. 
0.02 is the right Anwar

Brooke earns $7 an hour at her job now. She can represent the total she makes in a week using the expression 7r. Brooke has asked for a $1 an hour raise. Which expressing would represent the amount Brooke would make in a week after the raise?

Answers

We have that with the increase made Brooke now earns the following amount per hour:
 (7 + 1) = 8 $ / h
 Therefore we must now rewrite the weekly expression of your earnings.
 Rewriting we have:
 (7 + 1) r =
 8r
 Answer:
 the amount Brooke would make in a week after the raise is:
 8r
 the awnser is sir

8R

Which of the following would NOT be a deduction from a paycheck?


Select the best answer from the choices provided.
taxes
FICA
hourly wages
health insurance

Answers

the answer would most likely be hourly wages

The answer is hourly wages hoped that helped!.)

Describe the test grades using the measures of center

Answers

which test grades are you talking about?

Kens turtle competed in a 0.50- meter race. His turtle had traveled 49/100 meter when the winning turtle crossed the finish line. What is 49/100 written as a decimal

Answers

Hello!

There are a couple ways we can convert a fraction to a decimal, but I'll use a simple way.

To convert 49/100 to a decimal, we must divide the numerator (top of the fraction, 49) by the denominator (bottom of the fraction, 100).

49 ÷ 100 = 0.49

So, 49/100 is written as 0.49 as a decimal.

Well, to make it simple it's 0.49. Hope it helps!

What is 30 divided by half plus 10

Answers

30 divided by 2 + 10
15 + 10
25 is your answer. Hope its helps! :)
30 divided by one half plus 10 can be written as 30 ÷ 1/2 + 10. The order of operation (GEMDAS) informs us that we simplify the division first. 30 ÷ 1/2 is the same as 30 times 2. That gives us 60. Then, we add 10 to get 70.

A guy-wire is attached from the ground to the top of a pole for support. If the angle of elevation to the pole is 67° and the wire is attached to the ground at a point 137 feet from the base of the pole, what is the height of the pole (round to 2 decimal places)?

Answers

Answer:

The height of the pole is 322.75 feet.

Step-by-step explanation:

Let the triangle Δ ABC with AC be the length of wire and AB be the Height of the pole

Length between the point of attachment of wire from base of the pole = BC = 137 feet

Angle of elevation to the pole = θ = 67°

We have to find the length of the pole that is AB Let the height of pole be h feet.

According to trigonometry :

[tex]\tan C=\frac{\text{perpendicular}}{\text{base}}[/tex]

Here, C = 67° , perpendicular = AB = h , base = BC = 137

Substitute the values,

[tex]\tan 67^{\circ}=\frac{AB}{BC}[/tex]

[tex]\tan 67^{\circ}=\frac{h}{137}[/tex]

[tex]h=\tan 67^{\circ} \times 137[/tex]

[tex]h=322.75[/tex]

Thus, the height of the pole is 322.75 feet.


Answer:60.1

Step-by-step explanation:

cos

The value of the digit in the hundreds place in the number 653,841 is 1/10 the value of the digit in the thousands place in which number?

Answers

the correct question in the attached figure

we have that
the value of the digit in the hundreds place in the number 653,841 is------> 800

case  A) 748,917
the value of the digit in the thousands place------> 8000
1/10 the value of the digit is-------> (1/10)*8000=800
800=800---------------> is ok

case  B) 749,817
the value of the digit in the thousands place------> 9000
1/10 the value of the digit is-------> (1/10)*9000=900
900 is not 800

case  C) 784,817
the value of the digit in the thousands place------> 4000
1/10 the value of the digit is-------> (1/10)*4000=400
400 is not 800

case  D) 797,481
the value of the digit in the thousands place------> 7000
1/10 the value of the digit is-------> (1/10)*7000=700
700 is not 800

the answer is the option A) 748,917

The answer is 0.5.

To find the answer, understand the place value system in numbers.

The value of the digit in the hundreds place in the number 653,841 is 1/10 the value of the digit in the thousands place in which number.

To find the answer, we need to understand the place value system. In the number 653,841, the digit in the hundreds place is 8, and the digit in the thousands place is 5. Therefore, 1/10 of the digit in the thousands place is 0.5.

So, the answer is 0.5.

NEED HELP ASAP!! WILL GIVE BRAINLIEST
5. Marco wrote the equation below.
cos(-pi/2)=cos(3pi/2)
which statement best describes marcos equation?
a. it is true because the cosine function is odd
b. it is false because the cosine function is even
c. it is true because the cosine function has a period of 2pi
d. it is false because the cosine function has a period of pi.

Answers

The given equation is represented below:

cos(-pi/2)=cos(3pi/2)

The value of cos(-pi/2) is 0 and the value of cos(3pi/2) is also 0

Further a function is defined as an even function if f(x) = f(-x)

Cosine function is an even function.

Therefore it is true and the correct option is c

It is true because the cosine function has a period of 2pi

Hope it helps ..!!

Answer:

Option C - It is true because the cosine function has a period of [tex]2\pi[/tex].              

Step-by-step explanation:

Given :  Marco wrote the equation below.

[tex]\cos (-\frac{\pi}{2})=\cos (\frac{3\pi}{2})[/tex]

To find : Which statement best describes Macro equation?

Solution :

Since, the period of the given cos function is 360°

So, it holds the property of trigonometric :

[tex]\cos \theta=\cos (2\pi+\theta)[/tex] then the function is an even function.

Taking   [tex]\theta =-\frac{\pi}{2}[/tex]

Then , [tex]2\pi+\theta = 2\pi-\frac{\pi}{2}[/tex]

[tex]2\pi+\theta = \frac{4\pi-\pi}{2}[/tex]

[tex]2\pi+\theta = \frac{3\pi}{2}[/tex]

So, the given function is a even function in a period of [tex]2\pi[/tex].

Therefore, Option C is correct.

It is true because the cosine function has a period of [tex]2\pi[/tex].

find the difference of the least common multiple and the greatest common factor of 12 and 32 show your work please

Answers

12. 32
6*2. 8*4
3*2*2. 4*2 2*2
2*2*2*2*2

Do the rest of the math yourself lol

Lines l and m are parallel and intersected by transversals t and s as shown in the figure below.
What is m A) 180 degrees
B) 360 degrees
C) 540 degrees
D) 720 degrees

Answers

Angle W and Y are right angles and equal to 90 degrees each. Angle z and angle x  are same side interior angles and they have a sum of 180 degrees because of the same side interior angles postulate.

so W= 90  Y=90   X+Z= 180 .  so 90+180+90 =360 degrees. B.

Lexi's bulletin board is 40 centimeters wide. each of her ribbons is 4 centimeters wide, and her photos are 12 centimeters wide. what combination of ribbons and photos will fit side by side with no overlap on Lexi's bulletin

Answers

Ribbon, Photo, Ribbon, Ribbon, Photo, Ribbon.
4 x 12 x 4 x 4 x 12 x 4= 40 cm.

Hope this helps!!

y = -16x2 + 32x - 10 This parabola has x-intercepts, representing the times when the dolphin's height above water is feet.

Answers

Answer:

2

0

two real solutions

Step-by-step explanation:

from edge!!

Final answer:

To find the x-intercepts of the quadratic equation representing the height of a dolphin's jump, we can use the quadratic formula by plugging in the coefficients from the equation y = -16x^2 + 32x - 10. The intercepts indicate the times when the dolphin's height above water is zero feet.

Explanation:

The question involves finding the x-intercepts of a quadratic equation, which represent the points where a parabola crosses the x-axis. In this context, the x-intercepts correspond to the times when the dolphin's height above water is 0 feet. To find the x-intercepts, we can use the quadratic formula:

x = −b ± √(b² − 4ac) / (2a)

For the equation y = −16x² + 32x − 10, the coefficients are a = −16, b = 32, and c = −10. By substituting these values into the quadratic formula, we can calculate the times when the dolphin is at the water level (y=0). Since this is a mathematical problem involving a real-world scenario, it is essential to check that the resulting times make sense within the context. Negative values for time, for example, would not be physically meaningful.

Learn more about Quadratic Equation here:

https://brainly.com/question/30098550

#SPJ3

Janet makes homemade dolls. Currently, she produces 23 dolls per month. If she increased her production by 18%, how many dolls would Janet produce each month?

Answers

I think she would make 4.14 more dolls per month. Hope this helps.

4x. (2x^3 — x^2–18x+15) Standard Form

Answers

4x. (2x^3 — x^2–18x+15)=
8x^4 - 4x^3 - 72x^2 + 60x
4x (2x ^ 3 - x ^ 2-18x + 15)
 For this case, the first thing to do is multiply the value of 4x for each of the terms within the parenthesis.
 You must take into account the following power properties:
 Same exponents are added.
 We have then:
 (8x ^ 4 - 4x ^ 3-72x ^ 2 + 60x)
 Answer:
 
The standard form is:
 (8x ^ 4 - 4x ^ 3-72x ^ 2 + 60x)

The range of F(x) = 6 * 3x is all positive real numbers.

Answers

yes it isssss !!!!!!!!!!!!!
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