Part B (Taxi):
12 miles = 0.5 miles + (115×0.1) miles
Rate: $2.40 + (115×0.20)
= $25.40
Total cost (with tip): $25.40 + $2
= $27.40
20 miles = 0.5 miles + (195×0.1) miles
Rate: $2.40 + (195×0.20)
= $41.40
Total cost (with tip): $41.40 + $2
= $43.40
50 miles = 0.5 miles + (495×0.1) miles
Rate: $2.40 + (495×0.20)
= $101.40
Total cost (with tip): $101.40 + $2
= $103.40
Part B (Uber):
12 miles (rate) = $1 + ($1.05×12)
= $13.60
Total cost (with tip): $13.60 + $2
= $15.60
20 miles (rate) = $1 + ($1.05×20)
= $22
Total cost (with tip): $22 + $2
= $24
50 miles (rate) = $1 + ($1.05×50)
= $53.50
Total cost (with tip): $53.50 + $2
= $55.50
Part C
Uber is a better mode of transportation. This is because given the same distance travelled for both the taxi and the Uber, Uber has a lower cost compared to the taxi.
Please help!
A rock is dropped down from the top of a 500-foot cliff. After 1 second, the rock is traveling 32 feet per second. After 4 seconds, the rock is traveling 128 feet per second.
a. Assume that the relationship between time, t, and speed, s, is linear and write an equation describing this relationship. Use ordered pairs of the form (time, speed).
b. Use this equation to determine the speed of the rock 7 seconds after it is dropped.
Answer:
Part A:
The equation describing the relationship between speed and time is:
s = 32t
Ordered pairs of the form (speed, time) are:
(32, 1)
(64, 2)
(96, 3)
(128, 4)
Part B:
s = 32t
s = 32 * 5 = 160 feet per second
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Height of the cliff = 500 feet
Speed after one second = 32 feet per second
Speed after four seconds = 128 feet per second
2. Assume the relationship between time, t, and speed, s, is linear and write an equation describing the relationship. Use ordered pairs of the form (speed, time)
The equation describing the relationship between speed and time is:
s = 32t
Ordered pairs of the form (speed, time) are:
(32, 1)
(64, 2)
(96, 3)
(128, 4)
3. Use the equation to determine the speed of the rock 5 seconds after is dropped.
s = 32t
s = 32 * 5 = 160 feet per second
The perimeter of a rectangle is 80 feet.
Find the dimensions if the length is 5 feet longer than four times the width.
Then find the area of the rectangle.
Answer:
l=33 feet
w=7 feet
Area= 231 feet
Step-by-step explanation:
For f(x) = x + 7, find f(x) when x = 3 and when x = -5.
Answer:
When x = 3
f(3) = 3 + 7 = 10
When x = -5
f(-5) = -5 + 7 = 2
please mark me the brainliest
Which of the following are valid names for the given triangle? Check all that
apply.
Answer:
A) AXT
C) TAX
F) XTA
=====================================
Explanation:
We name a triangle based on its corner points (aka vertex points). Those three points are A, T and X. The order doesn't matter so there are 6 ways to name this triangle and they are
ATXAXTTAXTXAXATXTAThe terms in bold are the final answers. Anything involving M or Y isn't part of the naming because we use the corner points only.
7-3x=2x-8, How do you solved for x?
Answer:
x = 3
Step-by-step explanation:
7- 3x = 2x - 8
7 = 5x - 8 Add 3x on both sides
15 = 5x Add 8 on both sides
3 = x Divide both sides by 5
Each unit in the coordinate plane corresponds to 1 mile. Find the distance from the stadium to Pine Avenue. Round your answer to the nearest tenth.
The distance is about
miles.
The distance from the stadium to Pine Avenue is [tex]13.4miles[/tex], (to the nearest tenth)
The stadium is on Hazel Street(the green line). Pine Avenue is the blue line. The distance from the stadium to Pine Avenue will be the distance on the graph (in miles) from the point representing the stadium, to the point of intersection between Hazel Street and Pine Avenue.
We know the location of the stadium, [tex]S=(-6,6)[/tex]
The point of intersection can be obtained by solving the simultaneous equations
[tex]y=-\dfrac{1}{2}x+3\\y=2x-12[/tex]
since both equations are set equal to [tex]y[/tex], set them equal to each other, to eliminate [tex]y[/tex], and solve for [tex]x[/tex]
[tex]-\dfrac{1}{2}x+3=2x-12\\\\x=6[/tex]
Substitute this value of [tex]x[/tex], into the equation for Pine avenue
[tex]y-2x-12\\=2(6)-12\\=0[/tex]
The point of intersection between Hazel Street and Pine Avenue is [tex]I=(x,y)=(6,0)[/tex]
To compute the distance between the stadium and Pine Avenue, we find the distance between the two points [tex]S[/tex] and [tex]I[/tex]. So,
[tex]d=\sqrt{(6-(-6))^2+(0-6)^2}\\\\=\sqrt{12^2+(-6)^2}\\\\=6\sqrt5\approx13.4\text{ (to the nearest tenth)}[/tex]
The distance is [tex]13.4miles[/tex]
Learn more about coordinate geometry here: https://brainly.com/question/15318780
Graph a line with a slope of -3/4 that contains the point (2,3).
Answer:
The graph will be on the bottom:
Step-by-step explanation:
First find the slope intercept form:
y=mx+b
m is slope
b is y-intercept
since we already have slope we can replace that with m
y=-3/4x+b
Now substitute x and y with 2 and 3
3=-3/4 (2)+b
3=-3/2+b
Add on both sides:
9/2=b
Thus the Slope-intercept form is
y=-3/4x+9/2
Hope this helps!
f the family decides to fly, they know that they will need a rental car for at least part of their trip. Gabriela and Luis estimate a budget of $315
$
315
for rental car expenses. One rental car company charges $55
$
55
per day and $35
$
35
in taxes and fees. They also estimate that they will spend $15
$
15
per day on gas. Gabriela wrote the equation (55d+35)+15d=315
(
55
d
+
35
)
+
15
d
=
315
to determine the number of days the family can rent a car from this company.
How many days could the Morales family rent a car if they choose this rental car company with their estimated budget?
Answer:
4 days
Step-by-step explanation:
55d+35+15d=315
70d=315-35
70d=280
d=280/70
d=4
Haley is the head nurse at a hospital and must order supplies. If 1 4 of a package of bandages lasts 1 8 of the month, how many packages of bandages are needed for the entire month?
Answer:
2 Packages
Step-by-step explanation:
To last the whole month, we would need to multiply 1/4 by 8.
1 *8 = 8
4 * 1 = 4
8/4 = 2
In a relation y = 2t + 1, what is the value of y if t = 7
Answer:
If t = 7, y = 16
Step-by-step explanation:
y = 2t + 1
y = 2(7) + 1
y = 14 + 1
y = 15
What is the reason for each step in the solution of the equation?
18x – 2x = 4x
Match the reasons with each step in the equation.
Given
Answer:
18 - 2x = 4x (Given)18 = 6x (Addtion property of equality)3 = x (Division property of equality)Step-by-step explanation:
Given - This is the start of the proof. Use this for the information given from the start.
Addition property of equality - Use this when adding terms on both sides of an equation.
Division property of equality - Use this when dividing terms on both sides of an equation.
Sally wants to buy themselves a beautiful, scrumptious, delightful cake but they don't know how money works. If Sally has $50.00, and the cake is $54.99, how much more do they need? literally just made this question off the top of my mind xD
Answer:
$4.99
Step-by-step explanation:
$54.99-$50.00=$4.99
Answer:
Step-by-step explanation:
cake: $54.99
sally money: $50.00
54.99-50= $4.99 lol
Graph x≥2.
If you’re confused about the question pls don’t answer it just ask about it in the comment section
Answer:
The first graph is correct.
Step-by-step explanation:
Note that the equation states x ≥ 2. It includes the "equals" sign, so the graph line should include 2. This is indicated by the solid line, as opposed to the 4th graph, which shows it as a dashed line. The dashed line is correct for x>2, but not for x ≥ 2.
Giải phương trình: 2x + x + 12 =0
Answer:
x = - 4
Step-by-step explanation:
Or 3x +12=0
what is (2i)^2? and is it a real or imaginary number?
Answer:
4i
Step-by-step explanation:
Distribute the 2, you get 4i.
It's imaginary because it has an i with it
Answer:
-4, real
Step-by-step explanation:
Hi there!
‘i’ is characterized as the sqrt of -1 or, alternatively, i^2= -1
If the problem is asking us to square i, then we know that it is going to equal -1. If we distribute the exponent, we would also square the 2, making it become 4. Now that we have done that, we multiply -1 and 4 to get a final answer of -4. This would be a real number as it is not imaginary.
I hope this can help!
10 x + 2 y . Find P when: x = 3 and y = 6
help pleaseee
Answer:
42
Step-by-step explanation:
(10x3) + (2x6)
= 30 + 12
= 42
10x + 2 y = (10.3) +(2.6) = 30+12=42
Our answer is 42
The two interior opposite angles of an exterior angle of a triangle are 60% and 80 Find the measure of the exterior angle please help me
Answer:
2. The two interior opposite angles of an exterior angle of a triangle are and . Find the measure of the exterior angle.
Step-by-step explanation:
Identify the solution set of the inequality, using the given replacement set.
x < –4; {–10, –4.3, –4, –3.9, 2, 6.5}
{–10, –4.3, –4}
1.{–10, –4.3, –4}
2.{–4, –3.9, 2}
3.{–10, –4.3}
4.{–3.9, 2}
Step-by-step explanation:
es el número 4[-3.9,2] esta es la respuesta
///.k
..
.
.
.
.
..
.
..
.
.
.
.
.
..
hello there! you did not put any question so i would not be able to answer your question :(
i need help with this i dont know how to do it...
∠C & 40° are vertically opposite angles. Vertically opp. angles have equal measures. So,
[tex]\mathfrak{Angle \: of \: C = \boxed{40^{\circ}}}[/tex]
[tex]\mathbb{MIREU} [/tex]
Find the value 3x-7 if 4x+12=24
I'm pretty sure that's what you meant
Latasha $289 last week.she earned $213.73 this week how much more did latasha earn last week than this week
Answer:
75.27
Step-by-step explanation:
Subtract this week from last week
289-213.73
75.27
Joan is thinking of a number. She adds 5 and multiplies it by 4. She then subtracts n of her original number and divides by 20. She wants the answer to always be 1. What is the value of n?
Answer:
5
Step-by-step explanation:
(4n+5)-n/20=1 cross multiply:(4n+5)-n=204n+5=20+n4n-n=20-53n=15Divide both sides by coefficient of nn=5The recipe for Nestle Tollhouse Chocolate Chip Cookies calls for 2
2
cups of chocolate chips to make 5
5
dozen cookies. If you want to bake 9
9
dozen cookies, how many cups of chocolate do you need?
Answer:
6 cups of chocolate chips
Step-by-step explanation:
2:5 5+4=9 so add 4 to each side of the ratio
6:4
PLS HELP ME I'M SO CONFUSED!!!!!!
Answer:
a = -3, b = 2.5, c = - 1/2Step-by-step explanation:
1)
[tex]3^a=1/27[/tex][tex]3^a=1/3^3[/tex][tex]3^a=3^{-3}[/tex][tex]a=-3[/tex]2)
[tex]3^b=9\sqrt{3}[/tex][tex]3^b=3^2*3^{1/2}[/tex][tex]3^b=3^{2+1/2}[/tex][tex]3^b=3^{2.5}[/tex][tex]b=2.5[/tex]3)
[tex]3^c=1/\sqrt{3}[/tex][tex]3^c=1/3^{1/2}[/tex][tex]3^c=3^{-1/2}[/tex][tex]c = - 1/2[/tex]Examine the function f(x)=log2x.
Which point is the intersection of f(x) and the line y=1?
(1,2)
(12,1)
(2,1)
(1,1)
Answer:
Is the question worded properly?
I find the intersection of the two lines to be (5,1), which is not an answer option.
Step-by-step explanation:
We want the value of x that will produce a value of 1, which will be the point the curve crosses y = 1.
log (10) = 1
Therefore 2x = 1, and x = 5
(5,1)
What is an equation of the line that passes through the points (2, -1) and (3,-4)
Answer:
Step-by-step explanation:
Given:
x1 = 2
x2 = 3
y1 = -1
y2 = -4
Solution:
m = ( y2 - y1 ) / ( x2 - x1 )
m = ( -4 - -1 ) / ( 3 - 2 )
m = -3 / 1
m = -3
Then,
y - y1 = m ( x - x1 )
y - (-1) = -3 ( x - 2 )
y + 1 = -3x + 6
y = -3x + 6 - 1
y = -3x + 5
7363626x726=???? Helpppppp
Answer:
The answer is 5345992476
Step-by-step explanation:
Is the sequence {4, 7, 10, 13, 16, ...} a function? Explain.
a
Yes, because each input is a natural number with multiple output numbers in the sequence
b
Yes, because each input is a natural number with a single output number in the sequence
c
No, because there are no input values paired with a single output number in the sequence
d
No, because there are multiple input values paired with a single output number in the sequence
Step-by-step explanation:
tricky, as the sequence does not define the input values.
by we can assume that the corresponding input values are 1, 2, 3, 4, 5, ... as it is usual for a sequence.
in that sense, b is the correct answer.
The sequence is a function because each input is a natural number with a single output number in the sequence.
What is arithmetic progression?The difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. It also goes by the name Arithmetic Sequence.
Given the sequence {4, 7, 10, 13, 16, ...},
Given that each term has a common difference, this is an arithmetic sequence. In this instance, the next item in the sequence is obtained by multiplying the previous term by 3.
a₂ - a₁ = 7 - 4 = 3
a₃ - a₂ = 10 - 7 = 3
the difference in output is the same for all the numbers in sequence.
Hence the sequence is the function of the Arithmetic Sequence.
Learn more about arithmetic progression;
https://brainly.com/question/16947807
#SPJ2
✺༒Question༒✺
Refer to attachment
Nonsence answer will get report
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer.....
(i) 64(ii) 729(iii) 121(iv) 625Hope it helps!
Brainliest pls!
Follow me! :)
Answer:
REFER TO ATTACHMENT
I HOPE IT IS HELPFUL