Answer: 75
Step-by-step explanation:
Plug in 7 for x and 5 for y
10(7)+5
70+5
75
The cost of a speeding ticket is a function of each mile per hour that exceeds the speed limit multiplied by a fixed rate of $2 plus a $40 processing fee.Write the function that represents this relationship.Then determine the cost of a speedingticket for a car that has gone 50 mph in a 35 mph zone
The cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.
Describe Function?In mathematics, a function is a relationship between two sets of numbers, known as the domain and the range, that assigns each element of the domain a unique element in the range. A function can be thought of as a machine that takes input from the domain and produces output in the range.
More formally, a function f from a set X to a set Y is denoted as f: X → Y
For example, the function f(x) = 2x assigns to each real number x a unique real number 2x. When x = 1, f(1) = 2; when x = -3, f(-3) = -6.
Functions can be represented in a variety of ways, including algebraic expressions, tables of values, and graphs. The graph of a function is a visual representation of the relationship between the input and output values, and can be used to analyze the behavior of the function.
Functions are important in many areas of mathematics, science, and engineering, and are used to model relationships between quantities, solve problems, and make predictions. They are also used in computer programming, where they are used to encapsulate behavior and modularize code.
The function that represents the relationship between the speed of a car and the cost of a speeding ticket can be expressed as:
C(x) = 2(x - L) + 40
where:
C(x) is the cost of the speeding ticket for a car traveling at speed x (in mph).
L is the speed limit (in mph).
(x - L) represents the number of miles per hour over the speed limit that the car was traveling.
The fixed rate is $2 per mile per hour over the limit, and there is a $40 processing fee added to every ticket.
To determine the cost of a speeding ticket for a car that has gone 50 mph in a 35 mph zone, we substitute the values for x and L into the formula above:
C(50) = 2(50 - 35) + 40
C(50) = 2(15) + 40
C(50) = 30 + 40
C(50) = $70
Therefore, the cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.
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Your free ride to work ends in 14 days. So, maybe you need a car? How much can you afford to spend? Below is what's available at a dealership near you. Which car should you buy? Before you decide, think about this: You do not have enough money in your account to buy a car. You'll have to finance your purchase. You'll have to put down 25% of the vehicle's selling price as a down payment.
Step-by-step explanation:
Kindly find attached a screenshot of the price list of some cars from motor 1 .com since you did not provide any in the question, and let us assume it is the same as what is available at a dealership near you.
From the list, since you don't have enough money in your account to buy a car, I will say you should get a 2017 Nissan Versa for $11,990
and 25% of $11,990 is
(25/100)* 11,990
0.25* 11,990
$2997.5
So you can make a down payment of $2997.5
and pay the remainder of $8992.5 later
Plz help me I’ll give brainliest!!
Answer:
k = 1
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (4, 1 )
with k = 1
help if u can please
Money with Tom = ×
Money with Aaron = x + 8
Their sum = $20
This can be written as :
= x + x + 8 = 20
= 2x + 8 = 20
= 2x = 20 - 8 ( transposing +8 from LHS to RHS changes +8 to -8 ) .
= 2x = 12
= x = 12 ÷ 2 ( transposing ×2 from LHS to RHS changes ×2 to ÷2 ) .
= x = 6
Which means ,
Tom has = x = $6
Aaron has = x + 8 = $6 + $8 =
= $14
Therefore , Tom has = $6 and Aaron has = $14 .
I need help answer this Question!
-6+3(-4-2x)>=-16-6x
There is no solution for that problem....
please help please solveit
8800000 in scientific notation
Answer:
8.8 x 10 to the power of 6
Step-by-step explanation:
Look at the angle shown below.
V.
Estimate the measure of the angle.
The points F, G, H and I all lie on the same line segment, in that order, such that the
ratio of FG : GH: HI is equal to 3 : 2: 4. If FI = 18, find FH.
Answer:
10
Step-by-step explanation:
Given line:
F G H I
FI = 18
Unknown:
FH = ?
Solution:
To find the line FH, we use the ratio given;
FG : GH: HI
3 : 2 : 4 ; Total = 3 + 2 + 4 = 9
Since FI is 18;
FH = [tex]\frac{3 + 2}{9}[/tex] x 18 = [tex]\frac{5}{9} x 18[/tex] = 10
FH = 10
Objects that are in the same plane are called _______________ . *
Answer:
black lines....I think
Just the last question thank you!!
Answer:
6 X 10^21
Step-by-step explanation:
Question 26 (1 point)
Find the distance between points P(7.1) and Q(5,7) to the nearest tenth.
PQ =
Answer:
The answer is 6.3 unitsStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
P(7,,1) and Q(5,7)
We have
[tex] |PQ| = \sqrt{ ({7 - 5})^{2} + ({1 - 7})^{2} } \\ = \sqrt{ {2}^{2} + ({ - 6})^{2} } \\ = \sqrt{4 + 36 } \: \: \: \: \: \: \: \: \: \\ = \sqrt{40} \: \: \\ = 2 \sqrt{10} \\ = 6.32455532...[/tex]
We have the final answer as
6.3 units to the nearest tenthHope this helps you
Answer:
PQ=1.4 I think
Step-by-step explanation:
Find the value of w in the pentagon below if the perimeter is 105 meters.
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m
(3 + 2w) m
Answer: 9 (with a margin of: 0)
Step-by-step explanation:
Times everything by 5
That gives you 15 + 10w = 105.
Subtract 15 from both sides
Divide by 10 to get w by itself
Then you solve
If a system of linear equations has the unique solution (2, -3), then its graph consists of what?
•parallel lines
•lines that intersect at a single point
•identical lines
•a y-intercept at -3
Answer: B - lines that intersect at a single point
Step-by-step explanation: Just took a test
The teacher plans to organize them in such a way that each row has students with the same shirt color and all rows have the same number of students. Find the largest number of students in each row. There are 81 students in green shirts, 54 students in white shirts, and 27 in orange shirts. The
Answer:
27
Step-by-step explanation:
Given that:
Green shirt = 81 students
White shirt = 54 students
Orange shirt = 27 students
The largest number of student in each row : we need to obtain the greatest common factor for the three numbers.
Factors of :
81 : 1, 3, 9, 27, 81
54 : 1, 2, 3, 6, 9, 18, 27, 54
27: 1, 3, 9, 27
The greatest factor which is common in all three numbers is 27, hence, the largest number of student in each row should be 27
Each digit 8 in the number 8.888 has a different value placed on its place in the place-value chart. Each 8 is multiplied by its place value. I've made up a song to help you remember this. What is the rule that this is referring to? Write the rule below.
Answer:
The value of every digit in a decimal figure is given by its position in that figure.
Step-by-step explanation:
The Rule:
The value of every digit in a decimal figure is given by its position in that figure.
For the figure 8.888, from left to right,
The first 8 is in units
The second 8 is in tenth (this means 8/10 = 0.8)
The third 8 is in hundreth (this means 8/100 = 0.08)
The fourth 8 is in thousandth (this means 8/1000 = 0.008)
The sum of the place values of the digits after the decimal point = 0.888
when the unit 8 is added, you then get 8.888
If MO=16x, MN=14x+20, then what is the length of NM
Answer:
The length of NM would be -26 2/3.
3 + 15 + 3
- 4 2
I need help figuring this out
Answer:
3+15+3-42
=18+3-42
=21-42
=-21
Factor 3y3 – 9y2
The factored polynomial is
Answer:
Factor 3y23y2 out of 3y33y3.
3y2(y)−9y23y2(y)-9y2
Factor 3y23y2 out of −9y2-9y2.
3y2(y)+3y2(−3)3y2(y)+3y2(-3)
Factor 3y23y2 out of 3y2(y)+3y2(−3)3y2(y)+3y2(-3).
3y2(y−3)
Step-by-step explanation:
mark me the brainliest please
-f+2+4f=8-3f what is the answer
Answer:
Answe 6 yeah i know 6
because you due
Answer:
1
Step-by-step explanation:
move like terms to each side
-f+4f+3f=8-2
simplify
6f=6
divide by 6 each side
f=1
PLS HELP WITH THIS QUESTION
Answer:
I think C
Step-by-step explanation:
Help plz!!!!!!!!!!!!!!!!!!!!
Answer:
444.6 liters
Step-by-step explanation:
117*3.8
444.6
Coach Right is looking at his students' running times in order to place students into running groups. He is working on forming a group that matches Jim's pace of 4 miles in 38 minutes. Which of these student times would fit into a group that runs at the exact same rate as Jim?
Complete question :
Coach Right is looking at his students' running times in order to place students into running groups. He is working on forming a group that matches Jim's pace of 4 miles in 38 minutes. Which of these student times would fit into a group that runs at the exact same rate as Jim? Prax ran 6 miles in 57 minutes. Jose ran 5 miles in 45.5 minutes. Sandy ran 7 miles in 66.5 minutes. Zynep ran 3 miles in 27 minutes
Answer:
Prax and sandy
Step-by-step explanation:
Given that:
Jim's pace = 4 miles in 38 minutes
Jim's rate = Distance covered / time.
Rate = 4 / 38 = 0.1052631 miles /min
Prax ran 6 miles in 57 minutes:
Prax rate : 6miles / 57 mins = 0.1052631
Jose ran 5 miles in 45.5 minutes:
Jose's rate = 5 miles / 45.5 = 0.1098901 miles /
minute
Sandy ran 7 miles in 66.5 minutes:
Sandy's rate = 7 / 66.5 = 0.1052631 miles / minutes
Zynep ran 3 miles in 27 minutes:
Zynep's rate : 3 / 27 = 0.1111111 miles / minutes
If 52 men can do a piece of work in 35 days in how many days will 28 men to it?
28 mando the peace of work in 41 days
by divida 52 and 35 and multiiply with28
Can you please find the missing side these are similar figures.
Answer:
1.108
2.4
3.6
4.28
5.80
6. 10.5
hope this will help you
Express as a trinomial.
(x−5)(x−2)
Answer:
x^2 - 7 x + 10
Step-by-step explanation:
use the foil method to multiply the terms.
Also - you can just plug these types of equations into WolframAlpha...
in this case you are looking for "expanded form"
What is the solution to 0.2 (4x - 8) = 0.4(12-2x)
Answer:
x = 4
Step-by-step explanation:
Let's multiply both sides by 5 to get rid of the leading fractions.
5 X 0.2 (4x - 8) = 5 X 0.4(12-2x)
(4x-8) = 2 (12-2x)
4x - 8 = 24 - 4x
8x = 32
x = 4
x = 4
For each value of x, determine whether it is a solution to x - 42 = 7.
Answer:
67- No 46-No 49-Yes 47-No
Step-by-step explanation:
Hope this helps!
Answer:
67...No
46...No
49...Yes
47...No
Step-by-step explanation:
x - 42 = 7
Add 42 to both sides
x = 49
You're flying from Joint Base Lewis-McChord (JBLM) to an undisclosed location 201 km south and 194 km east. Mt. Rainier is located approximately 56 km east and 40 km south of JBLM. If you are flying at a constant speed of 800 km/hr, how long after you depart JBLM will you be the closest to Mt. Rainier?
Answer:
The answer is "0.0846276476".
Step-by-step explanation:
Let all the origin(0,0) of JBLM be
Let the y-axis be north along with the vector j unit.
But along the + ve x-axis is east, and all along with the vector unit i.
And at (194,-201) that undisclosed position is
Mt. Ris (56,-40) at
Let the moment it gets close to the Mt. rainier bet.
Oh, then,
If we know, the parallel to the direction from the point was its nearest one to a path to a point,
Calculating slope:
[tex]\to m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]
points: (0,0) and (194,-201)
[tex]\to m=\frac{-201 -0 }{194-0}\\\\\to m=\frac{-201}{194}\\\\\to m=-1.03[/tex]
equation of the line:
[tex]\to y= mx+c\\\\\to y= -1.03\ x+c[/tex]
when the slope is perpendicular= [tex]-\frac{1}{m}[/tex]
[tex]= - \frac{1}{ -1.03}\\\\= \frac{1}{ 1.03}\\\\= 0.97[/tex]
perpendicular equation:
[tex]\to y-(-40)=0.97 \times (x-56) \\\\\to y+40=0.97 \times (x-56) \\\\[/tex]
Going to solve both of the equations to have the intersection point,
We get to the intersect level in order to be at
(47.16,-48.5748)
so the distance from origin:
[tex]= \sqrt{(47.16^2+48.5748^2)}\\\\= \sqrt{2224.0656 + 2359.5112}\\\\=\sqrt{4583.5768}\\\\=67.7021181[/tex]
[tex]\to time =\frac{distance }{speed}[/tex]
[tex]= \frac{67.7021181}{800}\\\\= 0.0846276476[/tex]
Write 3.01 repeating as a mixed number.
Answer:
3 1/100
Step-by-step explanation:
Place the decimal number over a power of ten.