Ava took a taxi from her house to the airport. The taxi company charged a pick-up fee
of $1.10 plus $3.75 per mile. The total fare was $19.85, not including the tip. Which
tape diagram could be used to represent the context if a represents the number of
miles in the taxi ride?
A
B
1.1
3.75
1.1
1.1X
3.75
19.85
1.1
19.85
3.75...
3-75
1.1

Answers

Answer 1

Using a linear function, it is found that her taxi ride was of 5 miles.

What is a linear function?

A linear function, in slope-intercept format, is modeled according to the following rule:

y = mx + b

In which the coefficients are described as follows:

The coefficient m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the y-axis(x = 0).

For the cost function, we have that:

The slope is the cost per mile, hence m = 3.75.The intercept is the flat fee, hence b = 1.10.

Thus the cost for a ride of x miles is of:

C(x) = 3.75x + 1.10.

Her total fee was of $19.85, hence the mileage is found as follows:

19.85 = 3.75x + 1.10

x = (19.85 - 1.10)/3.75

x = 5 miles.

Which was the length of her taxi ride.

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Related Questions

N
2.
Find the area of each sector. Round your answer to the nearest tenth.
1.
sector PQR
29
R
sector JKL
8 cm 135°
K
6m
P
90°
L
Area =
Area =
1 0.7
2 1.6

cm²
3 28.7
4 75.4

Answers

[tex]\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta \pi r^2}{360} ~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =135 \end{cases}\implies A=\cfrac{(135)\pi (8)^2}{360}\implies A=24\pi \implies A\approx 75.4[/tex]

what two numbers make a product of 50 and a sum of -15?

Answers

-10 + -5 = -15

-10 x -5 = 50

Add.
7+(-7)= help help help

Answers

Answer:

the answer is 0

Step-by-step explanation:

a negative plus a positive is a positive

0
If you take 7 and subtract 7 from that, you get 0.

mcdonald's claims that their monopoly game has a win rate of 25%. if you play the game 500 times, what is the probability that your win rate will be between 21% and 23%?

Answers

The required probability is 0.132 .

What is normal approximation?

The sampling distribution of averages or proportions from a large number of independent trials approximately and the expectation of a sample proportion or average is the corresponding population value.

On solving using mean sampling method, we get

P(E) = 0.132

Hence, the required probability is 0.132 .

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WILL GIVE BRAINLIEST

Write an equation of the parabola that passes through the points (1, – 9), (0, – 8), and (2, -8).​

Answers

Answer: y = x^2 - 2x - 8

Step-by-step explanation:

Angel and his children went into a restaurant and will buy hotdogs and drinks. Each
hotdog costs $5 and each drink costs $1.50. Angel has a total of $50 to spend on
hotdogs and drinks. Write an inequality that would represent the possible values for
the number of hotdogs purchased, h, and the number of drinks purchased, d.

Answers

Considering the definition of an inequality, an inequality that represent the possible values for the number of hotdogs purchased and the number of drinks purchased is 5h + 1.50d≤ 50.

Definition of inequality

An inequality is the existing inequality between two algebraic expressions, connected through the signs:

greater than >.less than <.less than or equal to ≤.greater than or equal to ≥.

An inequality contains one or more unknown values, in addition to certain known data.

Inequality in this case

In this case, you know that:

Each hotdog costs $5 and each drink costs $1.50. Angel has a total of $50 to spend on hotdogs and drinks.

Being:

"h" the number of hotdogs purchased."d" the number of drinks purchased.

the inequality that expresses the previous relationship is

5h + 1.50d≤ 50

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. let s be the subspace of c[a, b] spanned by ex , xex , and x2ex . let d be the differentiation operator of s. find the matrix representing d with respect to [ex , xex , x2ex ].

Answers

D(ex) = ex = 1.ex + 0.xex + 0.x2ex

D(xex) = ex + x.ex = 1.ex + 1.xex + 0.x2ex

D(x2ex) = x2ex + 2x.ex = 0.ex + 2.xex + 1.x2ex

So the matrix is:

          1    0    0

A =     1     1    0

          0    2    1

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PLEASE HELP ME ON THIS

A ball is thrown in the air the function h = 30t-5t^2 can be used to find the height (h) of the ball in meters after t seconds.

how long does it take the ball to reach a height of 45 meters?

Answers

This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.

h = -5t2 + 45.

How can one determine a function's maximum height?

The vertex, which is a maximum (or minimum) in a parabola, can be located by solving the square (yuck!) or by using the formula x = -b/2a. By re-entering the original equation with this x value as the vertex's x, we can determine the appropriate maximum height.

By multiplying "D * tan (theta)," where "tan" is the tangent of angle theta, you can get the height of the item of interest. For instance, rounding up, the height is 40 tan 50 = 47.7 meters if theta is 50 degrees and D is 40 meters.

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The Federal form 1040 is used by whom to file taxes?
O Individuals
O Companies
O Law Enforcement
O Nonprofit Organizations

Answers

the answer is a. individuals

Can someone help me out it dosent seem hard but its just hard for me to focus​

Answers

The government levies a consumption tax known as a sales tax on the purchase of goods and services.At the point of sale, a standard sales tax is imposed, collected by the shop, and paid to the government.

Calculate sales tax ?

The formula sales tax = purchase price x sales tax rate can be used to calculate the sales tax that was imposed to a purchase by simply multiplying the tax rate by the purchase price.The final price paid with tax is calculated by adding the sales tax to the initial purchase price. The Short Answer: Retail purchases are subject to sales tax.It is used to fund local and state budgetary expenses including fire departments, roads, and schools.The Detailed Response: Sales tax is a type of consumption tax that is typically levied on goods purchased by customers from shops. Only when the taxable supply is made during a "taxable activity" is it assessed and paid.The amount to be taxed is the value of the products or supply.The nature of the sales tax requires that the customer bear the majority of the tax burden.Sales tax is an indirect tax, which explains why.

   equation sales tax = purchase price x sales tax rate.

   Sales tax = $800*7.5%

         = $60

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16. Jani drives 290 miles in 5 hours. About how many miles does she
drive each hour?

Answers

Answer: 58

Step-by-step explanation: you divide 290 into 5

jani drives 58 miles per hour

What is the slope of the line that passes through these two points (8, 4) and (5, 3)?

Answers

Answer:

the answer is 3/1

Step-by-step explanation:

u do 8-5/4-3 which is 3/1

A 28° 0 128° B C Problem 4.1 Determine the measure of the missing angle.​

Answers

Answer:

24°

Step-by-step explanation:

the interior angle of a triangle is 180°

therefore Let <ACB =x

128°+28°+x=180°

156°+x=180°

make x the subject

x=180°-156°

x=24°

The table represents a quadratic function. Write an equation of the function in standard form.

x | 3,4,5,6
y | 10,7,10,19

I don't know how to find the vertex for this

Answers

The equation of the function in standard form is  3x + y = 25.

What is a quadratic function?

f(x) = ax2 + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph. Although the "width" or "steepness" of a parabola can vary as well as its direction of opening, they all share the same fundamental "U" form.

From the given table we can get the dy/dx which is the slope (m) ,

Therefore,

dy/dx = (7 - 10 ) / ( 4 - 3 )

dy/dx = -3

Now,

( y - y1 ) = m ( x - x1 )

Putting the value from the table,

( y - 10 )  = -3 ( x -5 )

=> y - 10 = -3x + 15

=> 3x + y = 25

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[tex]\sqrt{x} 10 greater than, less than, or equal to 3[/tex]

Answers

The square root of 10 will be greater than 3.

What is square root of a number?

The square root of a number is the value which when multiplied by itself results into the number. Mathematically -

n = x²

then -

x = [tex]\sqrt{n}[/tex]

Given are two numbers as -

[tex]\sqrt{10}[/tex] and 3.

Now, the square root of 10 will be 3.16 (approx.)

On comparing the square root of 10 with 3, we can clearly see that the square root of 10 will be greater than 3. Mathematically -

[tex]\sqrt{10}[/tex] > 3.

Therefore, we can conclude that the square root of 10 will be greater than 3.

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Donnie writes an absolute value equation to determine the values that are 0.8 units from 3.5.
What equation does Donnie write and what values does he find?
Enter your answer in decimal form by filling in the boxes.
Absolute value equation |x- ___ | = ___
The values that are 0.8 units from 3.5 are ___ and ___

Answers

The absolute value equation which correctly represents the situation as described is; | x- 3.5 | = 0.8.

The values which are 0.8 units from 3.5 as given are therefore; 4.3 and 2.7.

What values are 0.8 units from 3.5 as described in the task content?

It follows from the task content that the numbers which are 0.8 units away from 3.5 on the number line be determined.

On this note, the correct representation of the situation above involves an absolute value equation such that;

| x- 3.5 | = 0.8

Hence, to solve the equation; (x- 3.5) = 0.8 OR (x- 3.5) = -0.8.

x = 0.8 + 3.5. OR. x = -0.8 + 3.5

x = 4.3 OR x = 2.7.

Ultimately, the required values are; 4.3 and 2.7.

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Reasonableness
Lexi subtracts 9,405 from 11,138.
Should her answer be greater than or less than 2,000?
Explain.
(Help meeee)

Answers

Answer:

I believe that it should be less than 2,000.

Step-by-step explanation:

11038 < 11405 = 9405 + 2000

11038 - 9405 < 2000

1. The area of a rectangle is 45.5 square inches. The base of the rectangle is 7 inches. What is the height of the rectangle in inches?

2. A pharmacist put 4.536 ounces of vitamin pills into bottles in total. She put 0.043 ounces of vitamin pills into each bottle. How many bottles did the pharmacist use for these vitamin pills?

3. A baby weighed 7.25 lb at birth. At the end of 8 months, the baby weighed 2 3/4 times its birth weight. How many pounds did the baby weigh at the end of 8 months? Round your answer to the nearest tenth.

4. A recipe for cookies requires 2/3 cup of butter.
Rama wants to make 3/4 of the recipe. How many cups of butter should Rama use to make the cookies?

5. Ryan had a whole pizza. He ate 1/8 of the pizza for lunch and another 1/4 of the pizza for dinner. Write the fraction that represents how much of the pizza Ryan did not eat.

6. A sea turtle made 460 dives in 12 hours. At this rate, how many dives did the sea turtle make in 3 hours?

Also, can you help with the expression, solution, and work?

Answers

Using given area and base length of a rectangle we got that the height of the given rectangle is 6.5 inches.

What is the area of a rectangle?

Rectangle is closed geometric figure that has four perpendicular sides with opposite sides equal.

The formula for the area of the rectangle :

Area of the rectangle = Length × Breadth

Given that the area of a rectangle is 45.5 square inches.

The base of the rectangle is given 7 inches

To find : Height of the rectangle

Let the base length is the length of the rectangle and height is the Breadth of the rectangle.

Then, Area of the rectangle = Length × Breadth

⇒ 45.5 = 7 × Height

⇒ 45.5 /7 = Height

⇒ 6.5 = Height  of the rectangle

Therefore, the height of the rectangle is 6.5 inches.

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Mrs. Carpio purchased 30 cookies. She gives half of the cookies to her students. Then, she purchases some more, c, cookies on her way home.

Answers

The number of cookies that she has when she reaches home is given by the following algebraic expression:

n = 15 + c.

Which algebraic expression models the situation?

The initial number of cookies that she has is given by:

30.

(as stated in the problem).

She gives half of that amount to her students, hence the number of cookies that she has remaining is:

0.5 x 30 = 15 cookies remaining.

(to find the half of an amount, we can either divide by 2 or multiply by 0.5).

Then, on her way home, she purchases c cookies, hence the total number of cookies that she has when she reaches home is given by the following expression:

15 + c.

(she had 15, and then c was added to that amount).

Missing information

The problem is incomplete, hence we suppose that is asks for how many cookies she has when she reaches home.

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a is parallel to e and b is parallel to d, find y

Ae = 97-2
Bd = 4x+5

Answers

The value of y in the equation is 12.

What are internal angles of a triangle?
According to the alternate angle theorem, when a transversal cuts two parallel lines, the resulting alternate interior angles or alternate exterior angles are congruent.

BD falls on CE, thus angles dividing BD on CE will sum up to 180°.
Given ∠BDC = 4x - 5 and ∠BDE = 10y - 3
Thus, ∠BDC + ∠BDE = 180° ⇒ (4x - 5) + (10y - 3) = 180° - (i)
Therefore, rearranging (i), we get 4x + 10y = 188° -- (A)
Again, since alternate angles are equal, thus ∠BDC = ∠AEC
Thus, 4x - 5 = 97 - 2x ⇒ 6x = 102 ⇒ x = 102/6 = 17 --(ii)
From (A) and (ii), we get, 4(17) + 10y = 188 ⇒ 10y = 120 ⇒ y = 12
Therefore the value of y is 12.

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the diagram shows triangle ABC. D is on the point AB such that CD is perpendicular to AB. AC=9.4cm, AD=5.2cm and BD=7.8cm. Work out the size of angle ABC.

Answers

Answer:

45°

Step-by-step explanation:

Triangles ADC and BDC are right triangles, since CD⊥AB.

Use Pythagorean to find the length of CD:

CD² + AD² = AC²CD² + 5.2² = 9.4²CD² = 9.4² - 5.2²CD² = 61.32CD = √61.32CD = 7.83

Use trigonometry to find the angle ABC:

tan (∠ABC) = CD/BDtan (∠ABC) = 7.83/7.8tan (∠ABC) = 1.0 (rounded)m∠ABC = arctan 1m∠ABC = 45°

how is a circle square and triangle related?

Answers

In order to depict alchemy and the philosopher's stone, which is the ultimate goal of alchemy, a sign of a circle within a square within a triangle within a larger circle started to be used in the 17th century.

What do the symbols for a circle, triangle, and square mean?

It has deep philosophy where a circle symbolizes heaven and represents number one, a square represents earth and represents number two, and a triangle represents people and represents number three.

An enduring representation of good fortune, the triangle enclosed within a circle was thought to stave off evil spirits. It was accepted by Alcoholics Anonymous as a symbol of a person's transition from an alcohol preoccupation to a life saturated with the triangle of Recovery, Unity, and Service.

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help me out pleaseeeeeeeeeeeeeeeeee

Answers

Answer:

I'm pretty sure the answer is 191/30 when simplified

Step-by-step explanation:

Yup

The accurate scale drawing shows a car and a lamp post.
The car has a real width of 1.5 metres.
Find an estimate for the real height, in metres of the lamp post.

Answers

An estimate of the real height of the lamp post is 9m.

What is the estimate of the real height?

The first step is to determine the scale of the drawing. The scale can be determined by dividing the height of the lamp post by the height of the car. The height of the lamp post when measured with a ruler is 10.8 cm and the height of the car is 1.8cm

Scale = length of the lamp post / height of the car

10.8 / 1.8 = 6

Now, multiply the scale by the width of the car.

The real height of the lamp post = 6 x 1.5 = 9m

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40 push-ups in 5 days =
push-ups in 6 days

Answers

Answer:

48 push-ups

Step-by-step explanation:

40 to 5 = 48 to 6

What is the slope of the line?

Answers

Answer:

-7/4 seeing how the line touches -3,4 and 1, -3 only it goes down 7 and 3 to the right

Step-by-step explanation:

sub to imagine fn

2w - 15w - 18 = -83 solve for w simplify as much as possible

Answers

Answer:

w = 5

Step-by-step explanation:

2w - 15w - 18 = -83

combine w on left side:

-13w - 18 = -83

add 18 to both sides:

-13w - 18 + 18 = -83 + 18

-13w = -65

divide both sides by -13:

-13w/-13 = -65/-13

w = 5

Torrie has $430 and Sonia has $760. John has the same number of dollars more than Torrie as he has less than Sonia.How much money does John have?

Answers

John has $595 in his possession.

An algebraic expression is what?

An expression that has been created utilizing integers, constants, variables, and algebraic operations is known as an algebraic expression.

For instance, [tex]x^{2} + 2x + 2[/tex]

2x + 3

etc

The answer to the query is

John has the same amount of more money over Torrie as he has under Sonia.

Let's suppose it is $x since John has the same amount of money more than Torrie as he has less than Sonia.

Case 1

Actual amount that John has is $430 plus $x.

Case 2

Actual amount that John has is $760 less $x.

⇒ $430 + $x = $760 - $x

⇒ $2x = $330

⇒ $x = $165

John currently possesses $595 ($760 - $x) or ($430 + $x) in his possession.

John therefore has $595 in his bank account.

The amount of money that john has is $595

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How do you reflect the image over the x-axis

Answers

The coordinates of the image of any point P(x, y), from any geometric locus, after being reflected over the x-axis.

How to reflect any geometric locus over the x-axis

Geometric loci are geometrical constructions formed by one or more points, these may represent a point or a figure formed by finite or infinite set of points.

Let P(x, y) = (x, y) a point of the geometric locus, which has to be modified by using reflection over the x-axis. This can done by adding the vector (- 2 · x, 0) to the vector P(x, y):

P'(x, y) = P(x, y) + (- 2 · x, 0)

P'(x, y) = (x, y) + (- 2 · x, 0)

P'(x, y) = (- x, y)

Where P'(x, y) is the image of point P, from any geometric locus, after making the reflection over the x-axis.

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May you guys/girls please help me I have to submit this before mid night and I do not fail because my parents will get me , so may y'all please help me out!?

Answers

You have to find the slope intercept form

The -6 is the y-int because the line crosses it.

For the slope you do rise/run. The line is negative so your slope is negative.

Slope is -1/4 because you go down 1 and right 4.

Y=-1/4x+-6

Answer:

y =-0.25x + (-6)

Step-by-step explanation:

crosses y axis at -6 so that's your y-intercept

to find gradient use change in y / change in x

so make a triangle -1 / 4 = -0.25

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