Answers
Answers:
Yes the data can be modeled with a linear equation.
Processing fee = 42 dollars; Daily fee = 102 dollars
Max number of days you can rent house = 11 days
========================================================
Explanation:
Part 1
Let
x = number of days
y = total cost in dollars
Note how each time x goes up by 2, y goes up by 204 (since 450-246 = 204). This consistent pattern directly tells us we have a linear equation going on. The next section goes into more detail.
--------------------
Part 2
The daily fee is directly tied to the pattern mentioned earlier. We have the cost going up by $204 each time 2 days go by. So the daily fee is 204/2 = 102 dollars per day.
You could also use the slope formula with say the first two columns of the table
m = (y2-y1)/(x2-x1)
m = (450-246)/(4-2)
m = 204/2
m = 102
This confirms the daily fee is $102.
You can use any two columns of the table that you want to get the slope. It doesn't have to be the first two columns.
Now use (x,y) = (2,246) along with m = 102 to find the y intercept. Like before you can use any column you want to form the (x,y) value.
y = mx+b
246 = 102*2+b
246 = 204+b
246-204 = b
42 = b
b = 42
The equation is y = 102x+42. The initial processing fee is $42. If you stayed at the house for x = 0 days, you still have to pay the fee y = 42.
--------------------
Part 3.
Plug in y = 1200 and solve for x
y = 102x+42
1200 = 102x+42
1200-42 = 102x
1158 = 102x
102x = 1158
x = 1158/102
x = 11.3529411764706
x = 11
We round down to the nearest whole number. This way we clear the hurdle.
Note that if x = 11, then,
y = 102x+42
y = 102*11+42
y = 1164
which is under the $1200 budget
In contrast, plugging in x = 12 leads to
y = 102x+42
y = 102*12+42
y = 1266
which is over the 1200 dollar budget. This shows that x = 11 is the max number of days you can rent the house.
Related Questions
can someone help me
Answers
Answer:
16.25
Step-by-step explanation:
6.5 + 5 = 32.5/2 = 16.25
Solving Multi-Step
1. List the steps in order) require
3(z + 5) = 12
I
a)
Answers
Answer:
z = -1
Step-by-step explanation:
3(z + 5) = 12
Step 1: Divide both sides by 3.
z + 5 = 4
Step 2: Subtract 5 from both sides.
z = -1
Explanation:
12 / 3 = 4
-1 + 5 = 4
On a recent day eight-year-olds were worth $11 and €32 where where is $44. Enter an equation of the Fort on a recent day eight euros worth $11 and €32 were where is $44. Enter an equation of the form Y equals KX to show the relationship between the number of euros and the value in dollars. Let why is a value in dollars and XB the number of euros
Answers
Answer:
sry
Step-by-step explanation:
i am new to this
174 i think
Answer:
174
Step-by-step explanation:
LaShawn solved the equation below to the determine the solution. 3 x minus 8 = negative x + 4 (x minus 2) How many solutions does LaShawn’s equation have? zero one two infinitely many
Answers
Answer: D
D-infinitely many
Step-by-step explanation:
Took the Analyzing Solutions quiz on Edge 2020
Answer: D
D-infinitely many
Step-by-step explanation:
Edge 2020
Let the number of games, `x`, and the number of rides, `y`
For `x+4y=28`, what is the slope of the graph?
Answers
-1/4 or -0.24 because you subtract x to get it away from the y ... y = mx + b (this is the forumla you try to get it at) .... then you divide by four and that will leave you with -1/4 ... complete formula answer y = -1/4x + 7
Passes through (-6,-1) and is parallel to y=-2/3x+1
Answers
Answer:
y=-2/3x-6
Step-by-step explanation:
y=mx+b
m=-2/3
y-y=m(x-x1)
y-(-1)=-2/3(x-(-6))
y+1=-2/3x-4
-1 -1
y=-2/3x-5
Answer:
[tex]y=-\frac{2}{3}x -5[/tex]
Step-by-step explanation:
Slope-intercept form:
[tex]y=mx+b\\\\y=(slope)x+(y-intercept)[/tex]
m is the slopeb is the y-interceptx and y are corresponding coordinate points (x,y)When two lines are parallel, their slopes are the same. Take the slope from the given equation and insert into the new:
[tex]y=-\frac{2}{3} x+b[/tex]
Now find the y-intercept. For this, insert the given coordinate points and the slope into the equation to solve for b:
[tex](-6_{x},-1_{y})\\\\-1=-\frac{2}{3} (-6)+b[/tex]
Simplify multiplication using the rule [tex]\frac{a}{b} *c=\frac{ac}{b}[/tex] :
[tex]-1=-\frac{2(-6)}{3} +b\\\\-1=-\frac{-12}{3} +b\\\\-1=\frac{12}{3} +b\\\\-1=4+b[/tex]
Use inverse operations to isolate the variable. Subtract 4 from both sides:
[tex]-1-4=4-4+b\\\\-5=b[/tex]
The y-intercept is -5. Insert:
[tex]y=-\frac{2}{3}x -5[/tex]
:Done
Philip's rectangular deck is 5 yards wide. The ratio of the width to the length is 4 to 5. What is the approximate length of Philip's deck in feet? Hint: 1 yard = 3 feet.
Answers
Answer:
18.75 feet
Step-by-step explanation:
Step 1
we find the length of Philip's rectangular deck in yards
The ratio of the width to the length is 4 to 5.
Philip's rectangular deck is 5 yards wide.
Hence,
Hence:
4/5 = 5/x
Cross Multiply
4x = 5 × 5
4x = 25
x = 25/4
x = 6.25 yards
The length of Philip's field = 6.25 yards
Hint: 1 yard = 3 feet.
Converting the yard to feet
1 yard = 3 feet
6.25 yards = x
Cross Multiply
x = 6.25 × 3 feet
x = 18.75 feet
Therefore, the length of Philip's field in feet = 18.75 feet
can you guys please help me with this and fast?
∛125?
Answers
Answer:
5
Step-by-step explanation:
125 breaks down into 5×5×5, which proves that it's 5.
Answer:
5 is the right answer
Step-by-step explanation:
Please please help! Its due soon!! Ill mark brainliest!!
I need side b, using tangent!! Thank you!!
Answers
Answer:
tan 68 degrees = b/60
60 * tan 68 degrees = b
b = 148.5 in tenths, 149 as a whole number, and 148.51 in hundredths
Step-by-step explanation:
Hope it helps!
Answer:
tan 68 degrees = b/60
60 * tan 68 degrees = b
b = 148.5 in tenths, 149 as a whole number, and 148.51 in hundredths
. Step-by-step explanation:
Hope it helps!
then nth term of a sequence is 10-4n list the first 3 terms
Answers
The required first 3 terms of the sequence are 6, 2. -2.
Given that,
Then nth term of a sequence is 10-4n list the first 3 terms is to be determined.
Arithmetic progression is the series of numbers that have common differences between adjacent values
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
Nth term = 10 - 4n
For the first term, put n = 1
1 st term = 10 - 4 = 6
For the second term put n = 2
2nd = 10 - 8 = 2
For the third term put n = 3
3rd = 10 - 12 = -2
Thus, the required first 3 terms of the sequence are 6, 2. -2.
Learn more about arithmetic progression here: https://brainly.com/question/20334860
#SPJ2
The length of a rectangle is three times the width. The perimeter of the rectangle is 72 cm. Find the dimensions of the rectangle.
Answers
Answer: length=27, width 9
Step-by-step explanation: To solve this problem, you should set up an equation. The length is 3x, and the width is x. To find the perimeter of a triangle, you do length times two + width times two. So 6x+2x=72. 8x=72, x=9. Length is 27, width is 9.
Answer:
Length: 27cm
Width: 9cm
Step-by-step explanation:
Since the length of the rectangle is 3 times the width, we can assume the width=x and the length=3x.
P=72cm
Perimeter= 3x+3x+x+x
Set the 2 equations equal to each other
72=3x+3x+x+x
Solve for x
72=8x
9=x
Length=3x
Length=9(3)
Length=27
Width=x
Width=9
What is the Value of the angle AEX
Answers
Answer:
52
Step-by-step explanation:
I take it that x is somewhere near the end of the diagonal line, so you want to know the value of 3x + 1???
We know that (3x + 1) + (2x + 4) = 90 degrees. That's because AEF = 90 degrees.
So begin by removing the brackets.
3x + 1 + 2x + 4 = 90 Combine the like terms.
5x + 5 =90 Subtract 5 from both sides.
5x + 5 - 5 = 90 - 5 Combine
5x = 85 Divide by 5
x = 17
3x + 1 = 3*17 + 1 = 51 + 1 = 52
please help , picture above!
Answers
Answer:
The Slope of the hypotenuse of triangle ABC is equal to the slope of the hypotenuse of triangle CDE
Step-by-step explanation:
AE is a continuous line with consistent slope.
AC is a segment of this line and is the hypotenuse of triangle ABC.
CE is also a segment of AE and is the hypotenuse of triangle CDE.
Hope this helps.
You use the utility company’s budget plan for paying your home heating bills. You pay $75 a month for 9 months. Your actual bills are: September, $28.95; October, $46.15; November, $68.46; December, $109.34; January, $115.26; February, $94.19; March $75.66; April, $51.97; and May, $49.16. Compute the average for the 9 months
Answers
Answer:
$71.01Step-by-step explanation:
What is the average of a set of numbers?
An average is a number expressing the central or typical value in a set of data, in particular the mode, median, or (most commonly) the mean, which is calculated by dividing the sum of the values in the set by their number.
Given
September, $28.95;
October, $46.15;
November, $68.46;
December, $109.34;
January, $115.26;
February, $94.19;
March $75.66;
April, $51.97; and
May, $49.16.
Step two:
Total amount= 28.95+46.15+68.46+109.34+115.26+94.19+75.66+51.97+49.16= 639.14
Total number of monts= 9
Average= 639.14/9
Average= $71.01
Riding an elevator down 3 floors
Answers
Answer:
And, then what? rp?
Step-by-step explanation:
Answer: Elevators wer invented in 1880 by Elisha Otis's . They could carry cargo and people to higher floors. Now we see them everywhere, in places such as hospital, schools, malls, and even some houses.
5/8 divided by 1 and 1/3?
Answers
Answer:
15/32
Step-by-step explanation:
First convert 1 1/3 to improper fraction:
1 1/3 = 4/3
5/8 divided by 4/3 is same as...
[tex]\frac{5}{8} * \frac{3}{4} = \frac{15}{32}[/tex]
What is the difference between the sum of the measures of the interior angles of a regular hexagon and the sum of the measures of the exterior angles of a regular pentagon
Answers
Answer:
180 degrees
Step-by-step explanation:
Solve this problem.
Don't answer if you don't know. NO IMPROPER ANSWERS.
Answers
Answer: 9.
Step-by-step explanation: First take 6 and divide it by 2, and then multiply by 3. This gets to the correct answer of 9.
Answer: The answer is 9.
Step-by-step explanation: First I take 6 divided by 2 and then I multiply by 3 to get the correct answer of 9. Or I could show you an equation that looks like this from: 6÷2(1+2) to 3*3=9; therefore, 1 is incorrect answer because it has an order of operations and 9 is the correct answer because it doesn’t have an order of the operations. I hoped this helps you! :D
does anyone know the answer to this? will give brainliest
Answers
Answer: a
Step-by-step explanation:
Answer:
the answer is d. it is written in scientific notation.
Step-by-step explanation:
have a nice day!
Layla has a toy car collection of 400 toy cars. She keeps 85% of the toy cars on her wall. How many toy cars does she keep on her wall?
Answers
Answer:
340 cars on her wall
( Brainlyst will help my rank, thanks! <3 )
Please Help!!!!!!!!!!
Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is 2/5?
line n, with slope -5/2
line m, with slope 5/2
line p, with slope 2/5
Answers
Answer:
Step-by-step explanation:
n is perpendicular. - 1/(2/5) = - 5/2. n is the negative reciprocal of the given line.
m is neither.
p is parallel to the given line. For example y = 2/5x
and y = 2/5 x + 9 are parallel to each other.
what does rise over run mean in math?
Answers
Answer:The slope of a line measures the steepness of the line. Most of you are probably familiar with associating slope with "rise over run". Rise means how many units you move up or down from point to point. Run means how far left or right you move from point to point. On the graph, that would mean a change of x values.
Step-by-step explanation:
Can someone please help me with this and show work as well
Answers
The centroid cuts each median into two segments. The shorter segment is _ _ _ _ the length of the entire segment.
Answers
Answer:
Step-by-step explanation:
One third
The centroid of a triangle divides each median.
The shorter segment is 1/3 and the length of the entire segment is 1
The centroid of a triangle divides the median in the following ratio
[tex]\mathbf{Ratio = 2 : 1}[/tex]
The fraction of the shorter segment is:
[tex]\mathbf{Short = \frac{1}{1 + 2}}[/tex]
[tex]\mathbf{Short = \frac{1}{3}}[/tex]
Hence, the shorter segment is 1/3, while the entire segment is 1.
Read more about centroids at:
https://brainly.com/question/11891965
A freight train traveling along a certain route uses 12 units of fuel per mile plus an additional 2.2 units of fuel per mile for each railcar on the train. Let N represent the number of railcars on the train. What is an expression for f(N), the total number of units of fuel used per mile? find f(12). How many railcars does the train have if f(N)=34?
Answers
Answer:
[tex]38.4\ \text{units of fuel/mile}[/tex]
10
Step-by-step explanation:
Let [tex]N[/tex] represent the number of rail cars on the train
Each rail car adds 2.2 units of fuel per mile.
Fixed fuel consumption is 12 units of fuel per mile
The function of fuel consumption per mile is
[tex]f(N)=12+2.2 N[/tex]
when
[tex]N=12[/tex]
[tex]f(12)=12+2.2\times 12\\\Rightarrow f(12)=38.4\ \text{units/mile}[/tex]
[tex]\boldsymbol{f(12)=38.4\ \text{units/mile}}[/tex]
[tex]f(N)=34\\\Rightarrow 12+2.2N=34\\\Rightarrow N=\dfrac{34-12}{2.2}\\\Rightarrow N=10[/tex]
So, the number of rail cars when [tex]f(N)=34[/tex] is 10.
Do these pairs of values (x and y) represent two quantities that are
proportional?
ху
3 12
520
624
9 36
Answers
Answer:
yes
Step-by-step explanation:
Each value of x multiplied by 4 gives the corresponding value of y, that is
3 × 4 = 12
5 × 4 = 20
6 × 4 = 24
9 × 4 = 36
Thus x and y are proportional and the constant of proportion is 4
What is the 100th term of the sequence with a1 = 222 and d = -5
Answers
Answer:
-273
Step-by-step explanation:
222- (99*5)
222-495
-273
Answer:
-273
(next time if their is options maybe also try and put them, it would help a lot)
Evaluate the expression. Need Answer Asap
Answers
Answer:
3
Step-by-step explanation:
(4p-m)/4
m=-4 and p=2
Since you know what m and p represent, it shouldn't be hard to solve.
(4 [2] - [-4] )/4 The 4 would be positive since there are two negatives.
(8 + 4)/4 Do the work inside the parenthesis first...
(12)/4 now divide.
Answer:
I hope this helps
Step-by-step explanation:
plz mark brainliest
Help please, thanks :)
Answers
Answer:
60°
Step-by-step explanation:
Angle 1 is a vertical angle to 60° by the definition of a vertical angle.
Answer:
∠1 = 60°
Step-by-step explanation:
1. Explain why 3(x + 4) = 3(x - 5) has no solution.
Answers
Answer:
There is no solution because they are not equal
Step-by-step explanation:
3(x + 4) = 3(x - 5) cannot simply happen, as they are not equal.
Hope this helps!