Mathematics College

Nicole took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $2.90 plus $1.75 per mile. The total fare was $44.90, not including the tip.
Write and solve an equation which can be used to determine z, the number of miles
in the taxi ride
​

Answers

Answer 1
Answer: 2.90 + 1.75z = 44.90
z = 24 miles
Steps:
2.90 + 1.75z = 44.90
1.75z = 44.90 - 2.90
1.75z = 42
z = 42/1.75
z = 24

Check:
2.90 + 1.75z = 44.90
2.90 + 1.75(24) = 44.90
2.90 + 42 = 44.90
44.90 = 45.90 ✅

I would appreciate the brainliest if this was helpful correct and had clear steps! :)
Answer 2

The first thing we need to do is to find the linear equation that defines the total cost of the taxi ride as a function of the number of miles traveled.

We will find that z = 24.

We know that the taxi charges a fixed fee of $2.90, plus $1.75 per mile.

So if you travel for z miles, the total cost will be:

[tex]c(z) = \$2.90 + \$1.75 \cdot z[/tex]

Now that we have this linear equation if we know that the total fare was $44.90, then we have:

[tex]c(z) = \$2.90 + \$1.75 \cdot z = \$44.90[/tex]

Now we just need to solve the above equation for z:

[tex]\$2.90 + \$1.75 \cdot z = \$44.90\\\\\$1.75 \cdot z = \$44.90 - \$2.90 = \$42.00\\\\z = \$42.00/\$1.75 = 24[/tex]

Then we can see that she traveled for 24 miles.

If you want to learn more, you can read:

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Related Questions

How much 9% saline solution should be mixed with 80 Cc of a 17% saline solution to produce a 13% saline solution?

Answers

Answer:

80 cc.

Step-by-step explanation:

We work in amounts of salt in the solutions:

0.09x + 0.17*80= 0.13(x+ 80)  where x is the required volume of 9% solution.

0.09x + 13.6 = 0.13x + 10.4

13.6 - 10.4 = 0.13x - 0.09x

3.2 = 0.04x

x = 3.2 / 0.04

x = 80

Solve for y
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
5y +3> -7y + 13

Answers

Answer:

y > 5/6

Step-by-step explanation:

that's what i got

let me know if it was right

if it was pls mark brainlest

Answer:

y>5/6

Step-by-step explanation:

Got it right


A helicopter hovers 1500 feet above a small island. The
figure shows that the angle of depression from the
helicopter to point P is 40°.
How far off the coast, to the nearest foot, is the island?
400
1500ft
Please help me solve this problem

Answers

Answer:

the island is 1787.63ft far.

Step-by-step explanation:

<P=40° alternate angle

in triangle

relationship between perpendicular and base is given by tan angle

tan 40=p/b

tan40=1500/b

b=1500/tan40=1787.63ft

If point C is the circumcenter of
APQR and the circumcenter of
APQS, then R and S must be
the same point.
true
false

Answers

I think it’s False

Point R and S cannot be the same point

The statement is false.

What is Circumcenter?

The intersection of the perpendicular bisectors of a triangle's sides is known as the circumcenter of that particular triangle. In other terms, the circumcenter is the point at which the bisector of a triangle's sides coincides.

Given:

ΔPQR and ΔPQS both have same circumcenter named C.

As, both triangles have point P and Q same but S and R are different.

There many chances that they do not overlap or Coincide, they can be sharing same base but different vertex.

Hence,  R and S cannot be the same point.

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Please answer quick just super small explanation pls hurry quick for brainlessly answerr

Answers

Answer:

A

Step-by-step explanation:

2x/√2

2x/√2 x √2/√2 = 2x√2/2

x√2

Which expression is equivalent to 4(5r+9)?

Answers

The answer would be 20r+36

(Urgent) Worth 10 points 7.3

Answers

Answer:

m∡CBD = 135°

Step-by-step explanation:

m + 3m = 180

4m = 180

m = 180/4

m = 45

angle CBD is 3(45) = 135 degrees

Which pair of triangles can be proven similar?

Answers

Answer:l and ll

Step-by-step explanation:

A figure has vertices at points (0, 3), (6, 3), and (3, 6).
What polygon is made? Explain your reasoning.

Answers

Answer:

You first have to find how much of the area

Step-by-step explanation:

You borrow $1300 to buy a telescope. What is the monthly payment?

Answers

Answer:

it depends on how many months

Step-by-step explanation:

Answer:

for a year i dont understand srry

PLssssss help me with this question!!

Answers

Answer: a. equivalent b. not equivalent

c. equivalent d. not equivalent

Step-by-step explanation:

Can someone help with this math problem please

Answers

Answer:

0.40p-20

Step-by-step explanation:

hope this helps.

How can postulates and theorems relating to similar
and congruent triangles be used to write a proof?​

Answers

Don’t click any links ON THIS AP

Which is the sum of and 3/10 and 1/3​

Answers

Step-by-step explanation:

sum=addition

3/10 +1/3

find the LCM of 10 and 3 Which is 30

9+10/30=19/30

I hope it helps ☺️

Anthony needs some kitchen
appliances He found a mixer
for $90 and a microwave for
$42 What is the total bill
after adding 8% sales tax?

Answers

$142.56 cuz you add the total which is 90+42=132
Then add 132 + 8% equals 142.56

y=3/2x-9
I need to find the x-intercept and the y-intercept with work plsss

Answers

Hi there!

x-int: (6, 0)

y-int: (0, -9)

y = 3/2x - 9

Begin by finding the x-intercept. The x-intercept is located where y = 0, therefore:

0 = 3/2x - 9

Isolate for x by adding 9 to both sides:

9 = 3/2x

Divide both sides by 3/2x:

9 * 2/3 = x

x = 6. Thus, the x-intercept is at (6, 0).

Find the y-intercept by finding the y-value at which x = 0:

y = 3/2(0) - 9

y = -9. The y-intercept is at (0, -9).

79 1/6% as a fraction

Answers

Answer:

475/6%

Step-by-step explanation:

I hope this helps.

The equivalent fraction of the percentage is A = 47401/600

What is a Fraction?

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.

Given data ,

Let the fraction be represented as A

Now , the percentage value is given by P

And , the value of P = ( 79 1/6 ) %

We know that 1% is equivalent to 1/100, so we can write:

79 1/6% = 79 + 1/6% = 79 + 1/6 x 1% = 79 + 1/600

Now, we can convert the mixed number to an improper fraction by multiplying the whole number by the denominator and adding the numerator, then placing this over the denominator:

79 + 1/600 = (79 x 600)/600 + 1/600 = 47400/600 + 1/600

Combining these fractions, we get:

79 1/6% = 47401/600

Hence , 79 1/6% as a fraction is 47401/600.

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Which expressions represent the statement “three minus the product of seven and four”? Mark all that apply.
A 3 - (7 x 4)
B (7 x 4) - 3
C 3 - (4 / 7)
D 3 - (4 x 7)
E (7 x 4) - 3

Answers

The answer is A and D because as long as it is three minus you can still switch up the multiplication side

The statement three minus the product of seven and four is given by the expression 3 - (7 * 4)

What is an equation?

An equation is an expression used to show the relationship between two or more numbers and variables.

Given the statement three minus the product of seven and four, this is an expression:

3 - (7 * 4)

The statement three minus the product of seven and four is given by the expression 3 - (7 * 4)

Find out more on equation at: https://brainly.com/question/2972832

Gavin has a board that is ten feet long. Gavin is using the board to saw off pieces of wood needed for a building project. First Gavin saws off 2/10 of the board. Next Gavin saws off 5/10 of the board. Last Gavin saws off 1/10 of the board Gavin says he has 2/10 the board left to use for another building project is Gavin correct?

Answers

Answer:

Gavin is correct

Step-by-step explanation:

Since the problem is using a denominator of 10, I will convert 1 (1 representing the full length of the board before being sawed) to a fraction over 10

1 = 10/10

Subtract everything Gavin sawed off from the board

10/10 - 2/10 - 5/10 - 1/10

Only subtract the numerators; the denominators will stay the same

8/10 - 5/10 - 1/10

3/10 - 1/10

2/10

Gavin says he has 2/10 of the board left to use

Since we concluded we still have 2/10, he is correct

The ratio of tables to chairs at the furniture store is 1:6. There are 30 chairs. How many tables are there?

Answers

Answer:

5 : 30

Step-by-step explanation:

30/6 = 5

1 * 5 = 5

5 : 30

Hope it helps

Please mark me as the brainliest

Thank you

The answer is 5, pretty simple just divided 30 by 6 which equals 5

Can someone please just help me with 1-3 I’ll mark brainliest it’s urgent?

Answers

1. 2 to 356 2:365 2/365
2. 363 to 365 363:365 363/365
3. 363 to 2 363:2 363/2

Answer:

In the instruction above, it gives us some helpful information.

2 days with no professional sports game.

3 forms of ratio --> a to b, a : b, a / b

1) Remember there are 365 days in a year.

Days without games to Days in a year --> 2 to 365

Days without games : Days in a year --> 2 : 365

Days without games / Days in a year --> 2 / 365

2) Now there is a plot twist. It ask days with games. To find that we need to subtract 365 - 2 = 363 days with games.

Days with games to Days in a year --> 363 to 365

Days with games : Days in a year --> 363 : 365

Days with games / Days in a year --> 363 / 365

3) Days with games to Days without games --> 363 to 2

Days with games : Days without games --> 363 : 2

Days with games / Days without games --> 363 / 2

Hope this helps and sorry for not answering you. For some reason I was not getting any notification, but it is fixed now. Thank you :) !!

In ADEF, the measure of <F=90°, the measure of <D=58°, and DE = 42 feet. Find the length of EF to the nearest tenth of a foot.

Answers

Answer: 35.6

Step-by-step explanation: because I got it wrong and it showed me the answer

NEEDED ASAP PLZ!!!!!!!!!

The social studies teacher wants to know whether the students in the entire school prefer a model United Nations activity or a student government activity. The teacher draws a random sample from the following groups:

All teachers in the school
All boys in each grade
All students in each grade
All students in the social studies club
Which group best represents the population he should take a random sample from to get the best results for his survey? (5 points)

Group of answer choices

All teachers in the school

All boys in each grade

All students in each grade

All students in the social studies club

Answers

Answer:

All students in each grade

Can I please have help I will mark brainly est

Answers

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer......

I believe its SQUARE! Cuz it says 4 right angles.....

Hope it helps!

mark me brainliest pls.....

Follow me! :)

PLEASE HELPPP!!! Use the image to help u out

Answers

Answer:

Nope

Step-by-step explanation:

Linear equation : Y = Mx + C

gradient = M

Y-intercept  = C

To find gradient : (y1 - y2) / (x1 - x2):

(20 - (-25)) / (-4 - 11)

45 / -15 = -3

The given gradient is however 1/3. So The given equation is wrong

Julie's grades for this term test are 85,88,97. What is her average?
Please give an explanation.

Answers

Answer:

90

Step-by-step explanation:

The average of a set of numbers is the sum of the numbers, divided by the count of the numbers.

Thus, the average of 85, 88 and 97 is

85 + 88 + 97

------------------- = 270/3, or 90

         3

Answer:

90

Step-by-step explanation:

a survey of residents in wolf creek estates asked them to rate their satisfaction with the city running trails on a scale from 1-4 . which percentage bar graph best represents the data

Answers

Answer:

A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

A coin is tossed 100 times. WHich portion would you use to find how many times you'd expect the coin to land on heads?

Answers

Answer:

i would use 1/2 because theres 2 sides on a coin and if you flip it 100 times then the probability of it landing on heads is about 50 out of 100

Step-by-step explanation:

1/2 because there are two sides

The point (-2, 4) is plotted on the coordinate plane.
The point is reflected across the y-axis. What are the coordinates of the reflected point

A (-2,-4)
B (-2,4)
C (2,-4)
D (2,4)

Answers

Answer:

I would say B

Step-by-step explanation:

The amount that Jimmy paid for his meals the four days, $6.45, $21.38, $1.99, $7.99, $16, $0, $7.99, $18.95, $4.30, $10.35, $18.20. Calculate the median

Answers

Answer:

$7.99

Step-by-step explanation:

Arrange numbers in numerical order: $0, $1.99, $4.30, $6.45, $7.99, $7.99, $10.35, $16, $18.20, $18.95, $21.38.

Count how many numbers you have, 11.

11 is an odd number so, the number in the middle of the data set is the median.

Final answer: $7.99 is the median.

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