Two car rental companies have the following payment plans: Cart: $90 per week and 15c per kilometre Renta: $110 per week and 10c per kilometre What is the maximum whole number of kilometres that can be travelled in one week with Carz if it is to cost less than it would with Renta?
Using linear function concepts, it is found that the maximum whole number of kilometres that can be travelled in one week with Carz if it is to cost less than it would with Renta is of 399.
What is a linear function?A linear function is modeled by:
[tex]y = mx + b[/tex]
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0.For each car, Cart and Renta, the linear functions are given by:
C(k) = 90 + 0.15k
R(k) = 110 + 0.1k
Cart will cost less than Renta if:
C(k) < R(k)
Hence:
90 + 0.15k < 110 + 0.5k
0.05k < 20
k < 400
Hence, the maximum whole number of kilometres that can be travelled in one week with Carz if it is to cost less than it would with Renta is of 399.
More can be learned about linear function concepts at https://brainly.com/question/24808124
Math Questions about graph
Answer:
(i) gradient: 2/3
(ii) equation: y -1 = 2/3(x +1)
(iii) area: 10 square units
(iv) length: 4.12 units
Step-by-step explanation:
The gradient of a line is found by using the slope formula with two points on the line. The length between points is found using the distance formula, which is based on the Pythagorean theorem. The equation of a line can be written in several forms. One is the point-slope form:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
__
(i)The points A and B can be used in the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (5 -1)/(5 -(-1)) = 4/6 = 2/3
The gradient of the line is 2/3.
__
(ii)Using the found slope in the point-slope equation with point A, we find the equation of the line to be ...
y -1 = 2/3(x +1)
__
(iii)The area of a triangle is found from the formula ...
A = 1/2bh . . . . . triangle with base b and height h
The base length will be the difference in x-coordinates of the horizontal segment AC: 4 -(-1) = 5.
The height will be the difference in y-coordinates from that horizontal segment and point B: 5 -1 = 4
Then the area of ABC is ...
A = 1/2(5)(4) = 10 . . . . square units
The area of ΔABC is 10 square units.
__
(iv)The length of BC is found from the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((5 -4)² +(5 -1)²) = √(1 +16) = √17
d ≈ 4.12 . . . . units
The length of BC is about 4.12 units.
What is the sum of 547+31321? Enter your answer in the box as a mixed number in simplest form.
given that x=6 and y= -4
3x + x over y - y^2
Step-by-step explanation:
x=6
y=-4
3x+x / y-y^2
3(6)+6/-4-(-4)^2
24/-20
= -1.2
Expand: (7m2 + 2m)2.
Answer:
[tex]49m^{4} +28m^{3} +4m^{2}[/tex]
Last Answer
Step-by-step explanation:
Answer:
[tex]49m {}^{4} + 28m {}^{3} + 4m {}^{2} [/tex]
explanation:
[tex]7m {}^{2} (7m {}^{2} + 2m) + 2m(7m {}^{2} + 2m) \\ \\ 49m {}^{4} + 14m {}^{3} + 14m {}^{3} + 4m {}^{2} \\ \\ 49m {}^{4} + 28m {}^{3} + 4m {}^{2} [/tex]l
]
Will 50$ be enough to buy 6 can of paint that cause $8. 95 dollars?
Answer:
6 cans • $8.95=53.7
wich means $50 is not enough to buy 6 cans of paint
Tara has 4/5 kg of beads. She shares the beads evenly between 3 friends.
How many kilograms does each friend receive?
Answer:
[tex]\frac{4}{15}[/tex] kilograms
Step-by-step explanation:
We will take the total amount of beads and divide it by 3, since there are 3 friends.
[tex]\frac{4}{5}[/tex] kg / 3
[tex]\frac{4}{5}[/tex] kg * [tex]\frac{1}{3}[/tex]
[tex]\frac{4*1}{5*3}[/tex]
[tex]\frac{4}{15}[/tex] kg
Each friend recieves [tex]\frac{4}{15}[/tex] kilograms of the beads.
What is 45 divided by0.20
Answer:
I believe that would be 225. (Hope that helps!)
Answer:225:)
Step-by-step explanation:
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS PLEASE
Answer:
52 degrees
Step-by-step explanation:
<JRK and <GRO are vertical angles so that means that they have equal angle measures.
Area of a circle. Please help!
Answer:
[tex]A = 50.24[/tex] Sq. M.
Step-by-step explanation:
Formula: [tex]A = \pi r^{2}[/tex]
[tex]A = \pi (4)^{2}[/tex]
[tex]A = 16\pi[/tex]
[tex]A = 16 (3.14)[/tex]
[tex]A = 50.24[/tex] Square Meters
Will give Brainliest!!!!!
Determine the solution to the system of equations below. Explain your reasoning.
The solution(s) for the provided graph are (0, 6) and (6, 0)
What is a solution of a graph?The solution of the system of equations is the intersection of the two equations.
Reasoning.In the image provided, we can see two solutions (intersection points) that are intersected by a line and a circle.
Those two solutions are:
(0, 6) and (6, 0)Find the missing side X round to the nearest hundredth
Answer:
x=5.5
Step-by-step explanation:
cos60=x/11
11cos60=x
x=5.5
the sum of two numbers is ten one number is five times the other
Answer:
let the other number be x.
then,X+5=10
X =10-5
X=5
Step-by-step explanation:
Please help, I’ll mark your answer as brainliest.
Already answered here: https://brainly.com/question/26919792
What is the difference between the number of solutions for a two-step equation and
for a two-step inequality
Answer:
The difference between a two step equation and a inequality equation is that two step equation you can isolate the variable and get the answer. However in a inequality equation you can only compare, for example A > 7
Step-by-step explanation:
A inequality compares not giving a clear answer. A two step equation lets you find a clear answer.
suppose you've noticed that your score is to the left of your friend's when placed on a normal distribution. This means that your score is ______________ than her score.
Answer:
This means that your score is lower than her score.
Mila built a wooden toy bin with a lid to sell in her store. The bin is shaped like a rectangular prism and measures 2 feet long,1 foot wide,and 2 feet deep. To make the wood darker,she stained the outside of the toy bin including the top of the lid and the bottom of the bin. What is the area that mila stained?
The rectangular prism having a length of 1 feet, width of 2 feet and that
is 1 feet deep, gives the area Mila stained as 8 square feet.
How can the area that Mila stained be found?The given dimensions of the rectangular prism bin are;
Length of the bin = 2 foot
Width of the bin = 1 feet
Depth of the bin = 2 feet
Required:
The surface area of the rectangular prism bin.
Solution:
The surface area, S. A., of the rectangular prism bin is given as follows;
S. A. = Length × Width + Depth × Width + Length × Depth
Which gives;
S. A. = 2 × 1 + 2 × 1 + 2 × 2 = 8
The surface of area Mila stained, S. A. = 8 ft.²Learn more about surface area of a rectangular prism here:
https://brainly.com/question/987829
For the following system a) What is the value of x? b ) What is the value of y ?
Answer:
x = 12
y = -23
Step-by-step explanation:
to solve for this i think we have to do:
y = -3x + 13
-
y = -2x + 1
-----------------------
0 = -x + 12
-x = -12
x = 12
then i think.... i think you have to substitute to one of the equations
y = -3(12) + 13
y = -36 + 13
y = -23
then to check we substitute to the second equation
-23 = -2(12) + 1 ?
-23 = -24 + 1?
-23 = -23
Student Guide (continued)
1) Using the regression calculator in your tool bar, create a scatterplot using your data set from step
1. Insert a screenshot of your scatterplot, or recreate it below.
The photo shows the 10 students I chose please Help!
so the scatterplot will more or less look like the one in the picture below.
The sum of 4/5 and 1/10 is closer to 1/2 than to 1
?
Vvghhvycgfxytdxchgcxutr
Answer:
WHAT IS YOUR QUESTION???
Answer:
WHAT IS YOUR QUESTION??!!!??!?
This is gibberish!!!
A cylinder has a height of 20 centimeters and a radius of 11 centimeters. What is its volume? Use ≈ 3.14 and round your answer to the nearest hundredth.
Answer:
7598.8 [tex]cm^{2}[/tex]
Step-by-step explanation:
v (volume) = π[tex]r^{2}[/tex]h
v = 3.14 x [tex]11^{2}[/tex] x 20
v = 3.14 x 121 x 20
v = 7598.8
Answer:
7598.8 cm³
Step-by-step explanation:
Given :-
height = 20 cm
radius = 11 cm
value of π = 3.14
Formula to be used :-
Volume of cylinder = πr²h
Inputting the values :-
V = 3.14 x 11 x 11 x 20
= 3.14 x 121 x 20
= 3.14 x 2420
= 7598.8 cm³
Can the side lengths of 7, 10, and 9 form a triangle?
========================================================
Explanation:
Add the first two sides to get 7+10 = 17 which is larger than the third side (9)Add the first and last sides to get 7+9 = 16 which is larger than the second side (10)Add the last two sides to get 10+9 = 19 which is larger than the first side (7)As that list above shows, adding any two sides results in a sum larger than the third remaining side. The conditions of the triangle inequality theorem have been met to allow for a triangle to be formed.
In general the triangle inequality theorem is:
a+b > ca+c > bb+c > aThe order doesn't matter. All that's important is that all three conditions are met.
which choices are equivalent to the expression below √16 • √9
Answer:
12
Step-by-step explanation:
=> √16 • √9
=> Take square roots
=> 4 • 3
=> 12
A teacher administers a standardized math test to his class of 75 students. The mean score (out of 300 possible points) is 235. From previous studies, you know the population standard deviation is 28.
a) Using the sample data given, calculate a 95% confidence interval for the population mean.
b) Based on this confidence interval would you agree that the true population mean is under 239? Explain. x=235
Answer: (228.7, 241.3)
Step-by-step explanation:
The pool already has 12 gallons of water, and he wants to fill it to at least 27 gallons. The water flows at a rate of 6 gallons per minute. How many minutes, x, will it take for Eric to fill the pool with at least 27 gallons of water?
Answer:
6x + 12 = 27
x = minutes
x = 2.5 minutes to fill the pool
35+34
HE HE HE
STOP HERE AND ANSWER
I TOLD YOU TO STOP
FINE, YOUR FUNERAL!
69
69 (x_x) (x_x) (x_x) (x_x) (x_x) (x_x) (x_x) (x_x) (x_x)
pls help meeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
(x,y)→(-y,x)
E'(1,1)
C'(1,4)
D'(4,4)
Please solve this in subtraction method
Will give brainliest!!
Answer:
x= 0 and y=1
Step-by-step explanation:
1st multiply the first equation by 3
3 (3x-2y=2)
9x-6y=6
multiply the next equation by 2
2 (5x-3y=3)
10x-6y=6
subtract equation 1 from 2
(10x-6y)-(9x-6y)=6-6
10x-9x-6y+6y=0
x=0
put X in equation 1
3 (0)-2y=2
-2y=2
y=-1
so X and y are 0 and -1 respectively
Determine the area and perimeter and show your work please??