Rick’s Rentals is a car rental company that uses the function f(x)=22+0.10x to determine the to
tal cost of a rental as a function of how many miles a person drives. Penny’s Pencils is another company that uses a similar function g(x)=22+0.10x to determine the total cost of an order of personalized pencils as a function of the number of pencils ordered. Determine the domain and range of the company whose function is continuous and justify your answer.
Answer:
Step-by-step explanation:
The number of miles driven is sometimes written as a mixed number, and thus is a continuous variable (whereas the number of pencils purchased is not continuous (it's a whole number).
The domain of the continuous function are [0, n), where n represents the number of miles driven and is rarely over about 500 miles per day; the range is [$22, r), where r is ($0.10/mile)(number of miles driven), or approximately $50. If the renter drove 600 miles the upper end of the range would be $60. And so on.
please help with this
Answer:
2,4,6,
6,12,18
10,20,30
John has $50 he spent 1/5 of it on a book and 1/10 on a flashlight how much money did he have left
Each square below represents one whole …. What percent is represented by the shaded area?
Answer:
50%
Step-by-step explanation:
The diagonal line divides the square in half
I hope this help you
There are 30 pens in a box.
12 of the pens are black.
7 of the pens are green.
The rest of the pens are red.
One of the pens is chosen at random.
Find the probability that the pen is red.
Step-by-step explanation:
30-(12-7)= red pens
30-19
11
Probability=
11/30
A student's cost for last semester at her community college was 2800. She spent 448 of that on books. what percent of semester's college costs was sp books?
16%
Step-by-step explanation:
Percent can by calculated by part divided by whole multiplied by one hundred so (448/2800)*100=16
what is the measure of x?
Answer:
Hello!
After reviewing the problem you have provided I have come up with the correct solution:
x= 9
Step-by-step explanation:
To come up with this solution you have to first realize that the smaller triangle is a proportionally scaled down version of the entire larger triangle! (I will show what I mean in a linked picture)
So after we have realized that the smaller triangle is a scaled down version of the larger one, we can then create a formula or ratio to calculate the value of the missing side of the larger triangle (being x+6=??).
To create the formula/ratio I divided 10inches by 4inches. Thus the larger triangle is 2.5 times larger than the smaller one.
I then use this ratio to figure out the missing length of the larger triangle by doing:
6inches x 2.5 = 15inches.
I then inputed the 15inches into the formula of the missing side:
x+6=15
Subtracted 6 from both sides to simplify, and came up with the solution!
x=9
Let me know if this helps!
hey yall it's holiday season and I want to wish you all a good Christmas and Thanksgiving anyways what is your favorite nintendo game?
Answer:
Merry xmas bro
Step-by-step explanation:
fav nintendo game is the first mario
find the sum of all the odd numbers between 51 and 99 inclusive
Answer:
1875
Step-by-step explanation:
i need help on this math problem
Answer:
Natalie pays $9 every week.
d = 9w + 72
Step-by-step explanation:
hi if you know 8th grd math pls help
Answer:
all correct except A.
Step-by-step explanation:
pls mark me brainly if u can
A rectangular garden is 20ft longer than it is wide. It’s area is 6300ft^2. What are its dimensions
Answer:
Length = 90 feet
Width = 70 feet
Step-by-step explanation:
The area of a rectangle is found by finding the product of the length. Therefore, the following formula equation can be made:
[tex]A=lw[/tex]
The problem tells us that the area of the garden is 6,300 square feet and that the length is 20 feet longer than the width. Therefore, our equation can be rewritten as such:
[tex]6300=(w+20)(w)~or~6300=w(w+20)[/tex]
Now that there are no longer two different variables, we can solve for w.
[tex]6300=w(w+20)\\\\6300=w^2+20w\\\\0=w^2+20w-6300[/tex]
We are left with a trinomial so we'll use the quadratic formula to further solve for w.
[tex]w=\frac{-20\pm\sqrt{20^2-4(1)(-6300)} }{2(1)}\\\\w=\frac{-20\pm\sqrt{400+25200} }{2}\\\\w=\frac{-20\pm\sqrt{25600} }{2}\\\\w=\frac{-20\pm160}{2}\\\\\\w=70\\or\\w=-90[/tex]
Since distance cannot be negative, w = -90 cannot be a solution for this problem. Therefore, the width of the rectangular garden is 70 feet.
Now that the width has been found, we know the length is 20 feet longer than it. Therefore, the length is 90 feet.
Heeeeelllllllppppppp
1.
[tex]y=\frac{5}{3} x-2[/tex]
2.
[tex]y=-2x+2[/tex]
3.
[tex]y=x+5[/tex]
4.
[tex]y=\frac{1}{4}x[/tex]
John drives from home to his
parents house and then to a
cafe. His parents house is 13
miles south of his home and
the cafe is 6 miles east of his
parents house. What is the
distance, in miles, between his
home and the cafe SHOW YOUR WORK
Answer:
13=6 and no
Step-by-step explanation:
Answer:
The distance is 19 miles
Step-by-step explanation:
I know that because you have to add how many he drove to his parents and the amount of miles driven to the cafe and then it will give the total amount driven.
use a calculator to find the square for 7.6
Answer:
Using a calcuator, [tex]7.6^{2} =57.76[/tex]
Answer:
Hey mate....
Step-by-step explanation:
This is ur answer....
Shows me 57.76 well....Hope it helps!
Brainliest pls!
Follow me! ♧
Jackie works as a server at a local restaurant. She makes $8 per hour. She worked 34 hours last week. She made $250 in tips. What was her gross pay?
9) You want to buy a backpack which costs $34.82. Now it is on sale of 30% off. What is the
discount amount? What is the final cost with the discount?
Answer:
10.446
Step-by-step explanation:
Write the equation of the line in Point-Slope Form given the information below.
Slope=7
Point=(1,4)
Answer:
Step-by-step explanation:
y - 4 = 7(x - 1)
y - 4 = 7x - 7
y = 7x - 3
Can somebody answer this?
True
One from of the linear function is Y = mx + b where b is the y intercept.
The y intercept is where x is 0 so it would be at (0,6)
Are the following two lines parallel, perpendicular, neither, or the same line?
3x+4y = 2
4x+3y = 2
what are they?
Answer:
Neither.
Step-by-step explanation:
Manipulate the formulas into slope-intercept form which is [tex]y=mx+b[/tex].
In order for them to be parallel, m needs to be the same. Perpendicular, m for one needs to be the negative reciprocal of the other [tex]m=-\frac{1}{m}[/tex].
Let's see what we get.
(1)
[tex]3x+4y=2\\4y=-3x+2\\y=-\frac{3}{4}x+1/2[/tex]
(2)
[tex]4x+3y=2\\3y=-4x+2\\y=-\frac{4}{3}x+2/3[/tex]
They are reciprocals, but they are both negative. So, they are not the same line, perpendicular, nor parallel.
Also, you can graph these equations on desmos and see easily that they have none of these relationships.
paki sagot po kailangan na kasi..
thank you in advance ☺
1. 5
2.2
3.2,5
4.2,5
5.2
HOPE IT HELPS:)
PLS FOLLOW:)
#BRAINLIEST:)
Solve for r.
4r–3r=20
r=
Answer:
20
Step-by-step explanation:
4r - 3r = 20
r = 20
There you go.
Answer:
r = 20
Step-by-step explanation:
Let's solve your equation step-by-step.
4r − 3r = 20
Step 1: Simplify both sides of the equation.
4r − 3r =20
4r + −3r =20
(4r + −3r) =20 (Combine Like Terms)
r = 20
Hope this helps
Which expression is equivalent to the given expression?
5x – 2
A2 – 5x
B 2x – 2 + 3x
C 3 – 5 + 2x
D 5x — 2х
Answer:
I DON'T KNOW WHERE YOu belong because im in philippines
Suppose that we compute a 90% confidence interval for an unknown population mean . Which of the following is a correct interpretation?
90% of all possible
Jaya wants to make a vegetable garden in her backyard for 6 different vegetables. She makes 6 sections in the garden. The dimensions of the garden are 3 sections long by 2 sections wide. Each section is in the shape of a square. The area of the vegetable garden is 91.26 square feet. What is the length of the vegetable garden?
The length of the vegetable garden is 11.7 ft.
The dimension of the garden are 3 section long and 2 section wide.
let
each section length = x
Therefore,
length of garden = 3x
width of garden = 2x
Area of the vegetable garden = 91.26 ft²
3x(2x) = 91.26 ft²
6x² = 91.26
x² = 91.26 / 6
x² = 15.21
x = √15.21
x = 3.9
length of the vegetable garden = 3(3.9) = 11.7 ft
read more: https://brainly.com/question/13028967?referrer=searchResults
you have to estimate
Answer:
75,388
Step-by-step explanation:
Long Multiplication form
[tex]\mathrm{Mutliply\:the\:bold\:numbers}[/tex]
[tex]\frac{\begin{matrix}\space\space&8&0&\textbf{2}\\ \times \:&\space\space&9&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&\space\space&\space\space&8\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\space\space&8&\textbf{0}&2\\ \times \:&\space\space&9&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&\space\space&0&8\end{matrix}}[/tex]
[tex]\mathrm{Multiply}\\\\8\cdot \:4=32[/tex]
[tex]\mathrm{Carry\:}3\mathrm{\:to\:the\:column\:on\:the\:left\:and\:write\:}2\mathrm{\:in\:the\:result\:line}[/tex]
[tex]\frac{\begin{matrix}\space\space&3&\space\space&\space\space&\space\space\\ \space\space&\space\space&\textbf{8}&0&2\\ \times \:&\space\space&\space\space&9&\textbf{4}\end{matrix}}{\begin{matrix}\space\space&\space\space&2&0&8\end{matrix}}[/tex]
[tex]\mathrm{Add\:the\:carried\:digit,\:}3\mathrm{,\:to\:the\:result}[/tex]
[tex]\frac{\begin{matrix}\space\space&3&\space\space&\space\space&\space\space\\ \space\space&\space\space&8&0&2\\ \times \:&\space\space&\space\space&9&4\end{matrix}}{\begin{matrix}\space\space&3&2&0&8\end{matrix}}[/tex]
[tex]\mathrm{Multiply\:the\:top\:number\:by\:the\:bolded\:digit\:of\:the\:bottom\:number}[/tex]
[tex]\frac{\begin{matrix}\space\space&\space\space&\textbf{8}&\textbf{0}&\textbf{2}\\ \space\space&\times \:&\space\space&\textbf{9}&4\end{matrix}}{\begin{matrix}\space\space&3&2&0&8\end{matrix}}[/tex]
[tex]\mathrm{Mutliply\:the\:bold\:numbers}:\quad \:2\cdot \:9=18[/tex]
[tex]\mathrm{Carry\:}1\mathrm{\:to\:the\:column\:on\:the\:left\:and\:write\:}8\mathrm{\:in\:the\:result\:line}[/tex]
[tex]\frac{\begin{matrix}\space\space&\space\space&\space\space&1&\space\space\\ \space\space&\space\space&8&0&\textbf{2}\\ \space\space&\times \:&\space\space&\textbf{9}&4\end{matrix}}{\begin{matrix}\space\space&3&2&0&8\\ \space\space&\space\space&\space\space&8&\space\space\end{matrix}}[/tex]
[tex]\mathrm{Add\:the\:carried\:number\:to\:the\:multiplication}:\quad \:1+0\cdot \:9=1[/tex]
[tex]\frac{\begin{matrix}\space\space&\space\space&\space\space&\textbf{1}&\space\space\\ \space\space&\space\space&8&\textbf{0}&2\\ \space\space&\times \:&\space\space&\textbf{9}&4\end{matrix}}{\begin{matrix}\space\space&3&2&0&8\\ \space\space&\space\space&1&8&\space\space\end{matrix}}[/tex]
[tex]\mathrm{Mutliply\:the\:bold\:numbers}:\quad \:8\cdot \:9=72[/tex]
[tex]\mathrm{Carry\:}7\mathrm{\:to\:the\:column\:on\:the\:left\:and\:write\:}2\mathrm{\:in\:the\:result\:line}[/tex]
[tex]\frac{\begin{matrix}\space\space&7&\space\space&1&\space\space\\ \space\space&\space\space&\textbf{8}&0&2\\ \times \:&\space\space&\space\space&\textbf{9}&4\end{matrix}}{\begin{matrix}\space\space&3&2&0&8\\ \space\space&2&1&8&\space\space\end{matrix}}[/tex]
[tex]\mathrm{Add\:the\:carried\:digit,\:}7\mathrm{,\:to\:the\:result}[/tex]
[tex]\frac{\begin{matrix}\space\space&7&\space\space&1&\space\space\\ \space\space&\space\space&8&0&2\\ \times \:&\space\space&\space\space&9&4\end{matrix}}{\begin{matrix}\space\space&3&2&0&8\\ 7&2&1&8&\space\space\end{matrix}}[/tex]
[tex]\mathrm{Add\:the\:rows\:to\:get\:the\:answer.\:\:\:Fill\:in\:trailing\:zeros\:\:(not\:required)}[/tex]
[tex]\frac{\begin{matrix}\space\space&\space\space&8&0&2\\ \space\space&\times \:&\space\space&9&4\end{matrix}}{\begin{matrix}0&3&2&0&8\\ 7&2&1&8&0\end{matrix}}[/tex] [tex]=75,388[/tex]
See Image for the addition:
Find the cardinal number of the set:
C={1/x x is an integer that's greater than or equal to 4 and less than or equal to 9}.
Answer: 6
Step-by-step explanation:
Ok lemme actually format this set
[tex]$C = \left\{\frac 1x : x \in \mathbb{Z}\ \text{and}\ 4 \leq x \leq 9\right\}$[/tex]
Well the only integers from 4 to 9 are 4, 5, 6, 7, 8, 9. So this set is just
[tex]$C = \left\{\frac 14, \frac 15, \frac 16, \frac 17, \frac 18, \frac 19\right\}$[/tex]
which has cardinality [tex]\boxed{6}[/tex] .
If Esteban continues at the same rate, how many miles will he have traveled in 6 hours?
A. 36
B. 300
C. 360
D. 420
Answer360
Step-by-step explanation:
I just need the properties in order help plz
[tex] \: \: \: \: [/tex]
[tex]6x - 30 - 3x = - 12[/tex]
move the variable to the left hand side and change its sign, move the constant to the right hand side and change its sign[tex]6x - 30 = - 12[/tex]
collect like terms and calculate the sum[tex] 3x = - 18[/tex]
divide both sides of the equation by 3[tex]x = 3[/tex]
hope it helps[tex] \: \: \: \: \: [/tex]
[tex]\sf \longmapsto6(x−5)=3x−12[/tex]
Simplify both sides[tex]\sf \longmapsto(6)(x)+(6)(−5)=3x+−12[/tex]
[tex]\sf \longmapsto6x+−30=3x+−12[/tex]
[tex]\sf \longmapsto \: 6x - 30 = 3x - 12[/tex]
Subtract 3x from both sides[tex]\sf \longmapsto \: 6x−30−3x=3x−12−3x[/tex]
[tex]\sf \longmapsto3x−30=−12[/tex]
Add 30 to both sides[tex]\sf \longmapsto3x−30+30=−12+30[/tex]
[tex]\sf \longmapsto3x=18[/tex]
Divide both sides by 3[tex]\sf \longmapsto \: \dfrac{3x}{3} = \dfrac{18}{3} [/tex]
[tex]\sf \longmapsto \: x = 6[/tex]
[tex] \boxed{\sf \: x = 6 }[/tex]
Assume that a set of test scores is normally distributed with a mean of 80 and a standard deviation of 10.
Use the 68-95-99.7 rule to find the following quantities.
a. The percentage of scores less than 80 is _%.
Answer:
I don't know
Step-by-step explanation: