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
What’s the algebraic expressions of (7+10x)+3
Answers
During a football game, the parents of the players are selling pretzels and popcorn to make money. They charge $2.50 for a bag of popcorn and $2 for a pretzel. The parents collect $336 in sales. They sell twice as many bags of popcorn as pretzels.
Write a system of equations to represent the situation.
How many pretzels did they sell?
Answers
Answer:
The parents sell 48 pretzels.
Step-by-step explanation:
Let a be the number of bags of popcorn sold, and b the number of pretzels sold.
2.5a + 2b = 336
a = 2b
2.5a + a = 336
3.5a = 336
a = 96
b = 48
Which equation is parallel to CD which passes through through points C (-3,4) and D (7,-2)?
Answers
Answer:
y = - [tex]\frac{3}{5}[/tex] x + 1
Step-by-step explanation:
Parallel lines have equal slopes
Calculate m of CD using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = C(- 3, 4) and (x₂, y₂ ) = D(7, - 2)
m = [tex]\frac{-2-4}{7+3}[/tex] = [tex]\frac{-6}{10}[/tex] = - [tex]\frac{3}{5}[/tex] , thus
y = - [tex]\frac{3}{5}[/tex] x + 1 ← is parallel to CD
20 POINTS AND WILL GIVE BRAINLIEST IF MORE THAN ONE ANSWER!
Find the amplitude, the EoA=y, the period, and the phase shift in terms of cosine for this graph.
Answers
Answer:
Step-by-step explanation:
or
Step-by-step explanation:
has:
1) amplitude=|a|
2) phase shift=b
3) period=2pi/c
d) vertical shift=d
--------------------------------------------------
You are given the amplitude is 2. This means a could either be 2 or -2.
You are given phase shift is -1/8. This means b is -1/8.
You are given the period is pi. So we need to solve pi=2pi/c.
pi=2pi/c
Dividing both sides by pi gives:
1=2/c
Multiply both sides by c gives:
c=2
The vertical shift is -2 so d=-2.
The equation could either be:
y=2cos(2(x-(-1/8)))-2
or
y=-2cos(2(x-(-1/8)))-2
Simplifying a little gives:
y=2cos(2x+1/4)-2
y=-2cos(2x+1/4)-2
Can someone help me with the questions in the picture?
Answers
Answer:
25) B obtuse scalene
26) A acute isosceles
27) A acute isosceles
28) D obtuse isosceles
29) D right scalene
30) C obtuse isosceles
31) C obtuse scalene
32) C acute scalene
Step-by-step explanation:
A scalene triangle has sides of no equal measures (no side has the same length as another). An isosceles triangle has two sides of the same length. An equilateral triangle has three sides that all have the same lengths.
An acute triangle has all three angles that each measure less than 90°. An obtuse triangle has one angle that measures greater than 90°. A right angle has one angle that measures exactly 90°.
Hope this helps :)
2.4 divided by 16.8 please hurry!!
Answers
0.14285714285
Calculator ;)
Anyone know how to do this, I’m lost!
Answers
Total angle degree for a parallelogram is 360 degrees
The angles added up is 6x
So 6x=360
X=60
The 4 angles inside EVERY 4-sided figure ALWAYS add up to 360 degrees.
Now you have been found !
I need help with #22 & 23 ASAP!!!!please explain so I can understand
Answers
Answer:
22.) y = -1/7x + 8/7 23.) y = 2x -3 (x is the slope.)
Step-by-step explanation
22.) Divided each side by 7. Subtract 1/7x from each side to get the eqaution.
23.) Divided each side by 3. Add y to each side. then subtract 9 from each side to get the equation.
#1: Solve the linear system below using the elimination method. Type your
answer as an ordered pair in the form (#,#).*
2x + 5y = -16
-3x + 7y = -5
Answers
Answer:
[tex](-3,-2)[/tex]
Step-by-step explanation:
First, you need to get one like term in each equation the same in order to eliminate. To do less damage to the equation, we'll use the x terms.
To get the x terms the same, multiply both equations by the opposite x term:
[tex]-3(2x+5y)=-3(-16)\\\\2(-3x+7y)=2(-5)[/tex]
Simplify by multiplying. Use the distributive property for the left side (remember, two negatives make a positive and a negative multiplied by a positive will always be negative):
[tex]-3(2x)-3(5y)=-3(-16)\\\\2(-3x)+2(7y)=2(-15)\\\\\\-6x-15y=48\\\\-6x+14y=-10[/tex]
Now subtract all like terms. The x terms cancel out:
[tex]-6x-(-6x)=0\\\\-15y-14y=-29y\\\\48-(-10)=58\\\\-29y=58[/tex]
Now solve the new equation for y. Isolate the variable by using inverse operations. The term can be seen as -29×y. In order to isolate the variable, use division (opposite of multiplication). Divide both sides by 29:
[tex]\frac{-29y}{29} =\frac{58}{29} \\\\-1y=2[/tex]
Make the variable positive. Multiply both sides by -1:
[tex]-1(-1y)=-1(2)\\\\y=-2[/tex]
The value of y is -2. Insert this value into either original equation:
[tex]2x+5(-2)=-16[/tex]
Solve for x. Simplify multiplication:
[tex]2x-10=-16[/tex]
Use inverse operations to get like terms on the same side of the equation. Add 10 to both sides (addition is the opposite of subtraction) to cancel out the -10 on the left:
[tex]2x-10+10=-16+10\\\\2x=-6[/tex]
Isolate the variable using inverse operations. The x term can be seen as 2×x. Division is the opposite of multiplication, so divide both sides by 2:
[tex]\frac{2x}{2}=\frac{-6}{2} \\\\x=-3[/tex]
The value of x is -3. Therefore, the solution to the system is:
[tex](-3_{x},-2_{y})[/tex]
:Done
The total cost, c, of buying Mickey Mouse Ears, where m is amount of ears bought and 1 magnet, is given by the formula c = 22m + 8. Which equation is equivalent to this formula when solved for m? *
1 point
m = (c - 8)/22
m = (c+ 8)/22
m = c/22- 8
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Answers
Which expression best represents the model shown below?
Answer choices
x + 1
2x + 2
x - 1
5x + 5
Answers
-2x+3x-3+2
x-3+2
x-1
If you have a square with a perimeter of 18 inches, what is the area of the square after
scaling it by 7? Round to the nearest tenth is needed.
Answers
Answer:
992.3 in^2 to the nearest tenth.
Step-by-step explanation:
The new perimeter will be 7*18 = 126 inches.
So the side of the new square will be 126/4 = 31.5 inches,
and it's area = 31,5^2
= 992.25
Graph the function f(x) = x – 4.
Use the line tool and select two points to graph.
Answers
If the side opposite the 60 degree angle in a 30-60-90 degree is 12 centimetres, then what length of the side opposite the 30 degree angle?
Answers
Answer:
4*[tex]\sqrt3[/tex]
Step-by-step explanation:
A fish is 18 feet below the surface of the lake. The fish swims up 12 feet before diving 45 feet. What is the current depth of the fish?
Answers
Answer:
I am pretty sure the answer would be 51 feet
Hey I will give BRAINLIEST if its correct thanks !:)
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Answer:
B
Step-by-step explanation:
C=2πr
which is 2*pi*radius
What is this in simplest form
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Exact Form:
10/9
Decimal Form:
1.¯1
Mixed Number Form:
1/1/9
Answer:
It would be 1⅑
Step-by-step explanation:
First we turn the fractions into improper fractions.
4 7/9 would now be 43/9
3 2/3 would not be 11/3
Now, we have to make them have the same “bottom number”
3x11=33, 3x3=9
Now our equation is..
43/9 - 33/9 = 10/9
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Answers
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Step-by-step explanation:
-8(8b-7)=-1-7b
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Answer: the answer is b=1
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Answer:
Your answer would be (7, -9)
x²-6x
Whats the answer?
Answers
Answer: x(x−6)
Step-by-step explanation:
Answer:
(x+0)(x-6) OR x(x-6)
Step-by-step explanation:
AC 1*0...AC=0
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AC 0*-6
B 0-6
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B: - 1/3
C: 1/3
D: -3
Answers
Answer:
d, -3
Step-by-step explanation:
Please help me out! its urgent!
Answers
Answer:
x = 7.5 cm
Step-by-step explanation:
ΔBCA ~ ΔECD ⇒ the corresponding sides are proportional.
[tex]\frac{AC}{DC}[/tex] = [tex]\frac{AB}{DE}[/tex]
AC = 4 + 6 = 10 cm
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What is the measure of an exterior angle of a regular 45-gon?
Answers
Answer:Sum of exterior angle of any polygon is 360o . As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 . Further as each exterior angle is 45o , each interior angle is 180o−45o=135o .
Step-by-step explanation: hope this helps ;)
Answer:
8
Step-by-step explanation:
Somebody plz help!!
7. The length of a rectangle is 5 cm more than its width, w.
(For parts a) and b), write the starting formula then the simplified answer.)
a) Write an expression for the perimeter of the rectangle in terms of its width. (Perimeter=the sum of all sides of a shape)
b) Rearrange the formula to isolate for w.
c) The perimeter of the rectangle is 26 cm. What are the dimensions of the rectangle?
(Show your substitution then state the values for width and length)
Answers
Answer:
Give me some time let me do it
x2 - 4x + ______________________
Answers
Answer:
4
Step-by-step explanation:
You would complete the square by dividing the b value by 2, and then squaring it. In this case, the b value is -4. You would divide -4 by 2 and get -2. Now, you would square -2, and you would get 4.
18/24 greater than or less than 55%
Answers
75% is greater than 55%
Answer:
I think 55°% is less
6- 4(2r - 5) < 26 - 8r
This is algebra
Answers
Answer:
r>1
Step-by-step explanation:
6-4(2r-5)<26-8r do () first
6-8r+20<26-8r subtract 6 from both sides
-8r+20<20-8r Since this is the same on both sides, r>1 to make the equation not come out as 0
can someone help me with this?
Answers
Answer:
can u help me with sum I'll help u
2. y=5(x-2)^2-25
i’m going back to sleep, night
Your job is to sort and stack marblesfor sale. A bag contains 44 marbles, and some green. If there are 11 red marbles, what is the ratio of green to red marbles
Answers
Answer:
3 : 1
Step-by-step explanation:
Given that :
Total Marbles in bag = 44
Color of marbles in bag : red, green
Number of red marbles = 11
The ratio of green to red marbles :
Number of green marbles :
(Total marbles in bag - number of red marbles)
(44 - 11) = 33 green marbles
Hence, ratio of green to red Marbles:
Number of green marbles : number of red marbles
33 : 11
3 : 1
Answer:
The correct answer is 2:1.
Step-by-step explanation:
I did the K12 assignment and is said this was the right answer.