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:
https://brainly.com/question/19770987
What is 0.5 (0.1)(1/2)
Answer:
0.025
Step-by-step explanation:
Convert 5.5 feet to inches. There are 12 inches in 1 feet.
Answer:
GIVE BRAINLIEST PLZ
Answer:66
Step-by-step explanation:
5.5* 12=66
There you go
I need help with this problem please
Answer:
-9
Step-by-step explanation:
Remove parentheses.
9(−1)2−7
Subtract 77 from 22.
9(−1)−5
Rewrite the expression using the negative exponent rule b−n= 1/bn
91(−1)5
Raise −1 to the power of 5.
9(1/-1)
Divide 1 by −1.
9⋅−1
Multiply 9 by −1.
−9
hi, i need help with this lol, i'm bad at math
Answer:
-44
Step-by-step explanation:
Since a is -2 and y equals 7 we can plug them both into the expression to get -2 - 6(7) which after simple math results in the answer of -44.
How do you graph x+6y=0
Answer:
We need to put this equation into either form of a line, pererably, slope intercept form!
Step-by-step explanation:
To do this, out goal is to get y alone.
1. We subtract x on both sides.
2 We divide 6 on both sides.
3. Our answer is y= -x/6 ( negative x divided by 6)
4. The y-intecept value is when x is equal to zero, so plug in 0 for x and solve for y.
5. The y intercept is (0,0)
6. From (0,0) point, you go down -1 and move 1 to the right each time!
The graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
To graph this equation, start by rearranging it to solve for y.
y = -x/6
Next, plot a few points to fill in the graph.
when x is 0,
y is 0.
When x is 6,
y is -1, and
when x is -6, y is 1.
Finally, connect the plotted points with a straight line.
The final graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).
Hence, graph will be a line with a slope of -1/6 that passes through the points (0,0), (6,-1), and (-6,1).
To learn more on Graph click:
https://brainly.com/question/17267403
#SPJ2
Classify the solid figure.
O A. rectangular prism
O B. rectangular pyramid
O C. cylinder
O D. quadrilateral
HELP MEEE
ann and bill share an amount of money in ratio 7:n. Ann gets 28%of the money. workout value of n
Which expressions are equivalent?
1. 3x-7y and -7y+3x
2. 3x-7y and 7y-3x
3. 3x-7y and 3y-7x
4. 3x-7y and-3y+7x
Answer:
1. 3x-7y and -7y+3x
Step-by-step explanation:
1. 3x -7y and -7y +3x
This is correct because the terms remain unchanged. The -7y stays a -7y and the positive 3x stays a positive 3x.
2. 3x -7y and 7y -3x
This is not correct because the signs of the 3x and 7y switch. For the expressions to be equivalent, the signs must remain unchanged.
3. 3x -7y and 3y -7x
This is not correct because the variables of the 3 and 7 switched. The variables need to stay the same, for the expressions to be equivalent.
4. 3x-7 and -3y+7x
This is not correct because both the variables and the signs of the expressions changed. Both the signs and variables would need to stay the same in order to be equivalent.
A child gets 1 egg on their
1st birthday. They get 2 on
their 2nd, 3 on their 3rd etc.
How many years will it be
before they have received 91
eggs in total?
Answer:91 years
Step-by-step explanation:
GH is tangent to both circle A and circle E. Determine the length of HE.
01) 27 units
2) 3 units
03) 1.8 units
4) 4 units
Answer:
3 unit is the correct answer
Answer:
3 units
Step-by-step explanation:I took the test
Which ordered pair does NOT lie on the graph of the exponential function
f(x) = 3(1/4)^x
A. (12, 0)
B. (-2, 48)
C. (2, 3/16)
D. (0, 3)
I labeled them all on Desmos & they all seem to lie on it, which is why I need help.
The ordered pair does not lie on the graph of the exponential function
is (12, 0).
Option A is the answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To check whether an ordered pair lies on the graph of the exponential function f(x) = [tex]3(1/4)^x,[/tex]
We need to substitute the values of x and y into the function and see if the equation holds true.
A. (12, 0)
Substituting x = 12 and y = 0 into the function, we get:
[tex]f(12) = 3(1/4)^{12} = 0.000002861[/tex]
This does not equal y = 0, so (12, 0) does not lie on the graph of the function.
B. (-2, 48)
Substituting x = -2 and y = 48 into the function, we get:
[tex]f(-2) = 3(1/4)^{-2} = 48[/tex]
This does not equal y = 48, so (-2, 48) does lie on the graph of the function.
C. (2, 3/16)
Substituting x = 2 and y = 3/16 into the function, we get:
[tex]f(2) = 3(1/4)^2 = 3/16[/tex]
This equals y = 3/16, so (2, 3/16) does lie on the graph of the function.
D. (0, 3)
Substituting x = 0 and y = 3 into the function, we get:
[tex]f(0) = 3(1/4)^0 = 3[/tex]
This equals y = 3, so (0, 3) does lie on the graph of the function.
Therefore,
The ordered pair does not lie on the graph of the exponential function
is (12, 0).
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
How can postulates and theorems relating to similar
and congruent triangles be used to write a proof?
The area of a triangle varies jointly with the height of the triangle and the length of its base. The area of one triangle is 200 square centimeters when its height
is 25 centimeters and its base length is 16 centimeters. What is the area of a triangle having a height of 20 centimeters and a base length of 15 centimeters?
0600 square centimeters
O 300 square centimeters
O 150 square centimeters
160 square centimeters
Answer:
150 square centimeters
Step-by-step explanation:
Area of a triangle:
The area of a triangle is the multiplication of 0.5, the base length and the height length.
What is the area of a triangle having a height of 20 centimeters and a base length of 15 centimeters?
[tex]A = 0.5*20*15 = 10*15 = 150[/tex]
The area of the triangle is 150 square centimeters.
In the diagram below, O is circumscribed about quadrilateral ABCD. What is
the value of ?
Answer:
21
Step-by-step explanation:
Trust
The value of x is 21 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (A) is correct.
What is quadrilateral?
It is defined as the four-sided polygon in geometry having four edges and four corners and two pairs of congruent sides.
We have:
In the diagram below, O is circumscribed about quadrilateral ABCD.
In a quadrilateral, the sum of the opposite angles is equal to 180 degree
5x + 75 = 180
5x = 105
x = 21
Thus, the value of x is 21 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (A) is correct.
Learn more about the quadrilateral here:
brainly.com/question/6321910
#SPJ2
Please help 30 points pls
Answer:
4.75b; 8
Step-by-step explanation:
Area of triangle: height ÷ 2 × base
38 = 9.5 ÷ 2 × b
= 4.75 × b
38 = 4.75b
b = 38 ÷ 4.75
b = 8
Answer:
4.75 & 8
Step-by-step explanation:
Hope this helps
solve r/13.7 = 5 for x
please help asap
Answer: x=68.5
Step-by-step explanation: You multiply 13.7 and 5 and you should get 68.5 as x.
Write each percentage as a fraction in simplest form.
1. 50% 2. 99% 3. 15%
4. 200%
Answer:
1. 1/2
2. 99/100
3. 3/20
4. 2
When f ( x ) = 9 x 2 + x − 5 , evaluate f ( − 4
Answer:
is that supposed to be a squared x?
9(-4)^2 + (-4) - 5 = 135
9(-4) × 2 + (-4) - 5 = -81
id.k which one is right sorry
cacula las dimensiones de un rectangulo sabiendo que su area es de 66cm y su base mide 5cm mas que su altura
Answer:
Calcular las dimensiones de un rectángulo, sabiendo que es 4cm más largo que ancho y ... Área = base•altura ... Encuentra más respuestas.
Step-by-step explanation:
Answer:
how do you translate?
Step-by-step explanation:
Please help ASAP. Thanks so much
Answer:
its A
Step-by-step explanation:
Hey all!
Please only answer if you know the answer, the comment section is right below. Please don't waste my points!
Also, please show all of your work, you are trying to help me better understand the concept, not just give me the answer.
The image is down below. Show work! Thanks!
Answer:
65°Step-by-step explanation:
Use the law of cosines:
cos C = (25² + 27² - 28²)/(2*25*27)cos C = 0.4222m∠C = arccos 0.4222m∠C = 65°Please help I need it
Answer:
A. Yeah
Step-by-step explanation:
What is the maximum value and what is the point the maximum value is at?
9514 1404 393
Answer:
z = 47 at (x, y) = (3, 8)
Step-by-step explanation:
In the attached graph, the inequalities are graphed as their opposites, so the feasible solution region is the white area of the graph. The dashed boundary lines are part of the feasible region. The vertex of the feasible region that is farthest from the origin is ...
(x, y) = (3, 8)
The value of z there is 5·3 +4·8 = 47.
The maximum value of z is 47 at the point (x, y) = (3, 8).
A retail ice cream salesman divides his working days into 'sunny', 'medium', and 'cold'. He estimates that the probability of it being sunny is 0.2, and cold 0.3. If his gross sales on these three types of day are $50, $35, and $10 respectively on average and his average daily costs are $18 on any day.
Required:
a. Complete the probability distribution.
b. Find his expected profit per day.
Answer:
30.5
Step-by-step explanation:
Let ;
Sunny = S ; Medium = M ; Cold = C
_____ S _____ M ___ C
__X : 50 ____ 35 ___ 10
P(X) : 0.2 ____ 0.5 __ 0.3
P(M) = 1 - (0.2 + 0.3)
P(M) = 1 - 0.5 = 0.5
Expected profit per day, E(X)
E(X) = sum of (X * p(x)
E(X) = (50 * 0.2) + (35 * 0.5) + (10 * 0.3)
E(X) = 10 + 17.5 + 3
E(X) = 30.5
find the distance between the two points
(1, 2), (-3, 5)
Answer:
13
Step-by-step explanation:
if you cannot find the awnser next time try mathaway it gives you the awnser and tells you an explanation.
Which statement about the area of a right triangle is true?
F :The area formula for a right triangle is the base times the height because a rectangle can be
divided into two right triangles.
G: The area formula for a right triangle is the base times the height because a right triangle
can be divided into two rectangles.
H: The area formula for a right triangle is one-half of the base times the height because a
rectangle can be divided into two right triangles.
J: The area formula for a right triangle is one-half of the base times the height because a right
triangle can be divided into two rectangles.
Answer:
H
Step-by-step explanation:
This is because a rectangle can be divided into two triangles.
The captain of a ship at sea sights a lighthouse which is 120 feet tall. The captain measures the the angle of elevation to the top of the lighthouse to be 16 ^\circ. How far is the ship from the base of the lighthouse? feet
Answer:
As viewed on the deck, the lighthouse is 50-6 = 44 m above. First we need to compute the two distances from the captain and the lighthouse. For point1:
d1 = 44 / tan(60) = 25.403 m
For point2:
d2 = 44 / tan(30) = 76.210 m
The distance traveled by the ship in five minutes is 50.807 m or 0.050807 km. Five minutes is equivalent to 1/12 hours.
The speed is then equal to 0.050807/(1/12) kph = 0.61 kph.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Step-by-step explanation:
PLEASE I NEED HELP I GOT A PUPPY AND IM EXHAUSTED HE DOESNT SLEEP AT NIGHT
Answer:
False
Step-by-step explanation:
Plug 16 into the function as x
16+12=28
4≠28
a patients dose of medication increased from 100mg to 150mg. What is the percent increase in medication?
Answer:
The answer is 50% increase. Hope this helped!
Step-by-step explanation:
Use the data on the dot plot to answer the question.
Answer:
5
Step-by-step explanation:
x < 7
Which means 6 and below
only 5 people slept for less than 7 hours
Answer:
5 people
Step-by-step explanation:
Cuz you have to look what’s to the left of 7 and count the dots in 5 and 6