GIVING 20 POINTS, HELP ASAP!! DUE IN 45 MIN!!!!!
Two health clubs offer different pricing plans for their members. Both health clubs charge a one-time sign-up fee and a monthly membership fee. The graph below represents what Health Club B charges.
Answers
The equation of line is solved and Health Club B costs $ 7 less in monthly membership fees that Health Club A
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Let the first point be P ( 3 , 106 )
Let the second point be Q ( 6 , 187 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 187 - 106 ) / 3
Slope m = 27
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 106 = 27 ( x - 3 )
y - 106 = 27x - 81
Adding 106 on both sides , we get
y = 27x + 25 be equation (1)
Now , let the equation of line be represented as B
And , the value of B is
Let the first point be R ( 3 , 105 )
Let the second point be S ( 6 , 165 )
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m = ( 165 - 105 ) / 3
Slope m = 20
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 105 = 20 ( x - 3 )
y - 105 = 20x - 60
Adding 105 on both sides , we get
y = 20x + 45 be equation (2)
Now , when x = 1
Substitute the value of x = 1 in equation (1) and equation (2) , we get
y₁ = 27 + 25 = $ 52
y₂ = 20 + 45 = $ 65
So , health club B costs $ 7 less than health club A every month
Hence , the equation of lines is solved
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Related Questions
HELP!!!!!!!!!!!!!!!!
Answers
Answer:
C. 390 cm²
Step-by-step explanation:
Area of Rectangle: l•w
Area of Triangle: 1/2bh
Rectangle:
20 cm • 15 cm = 300 cm²
Triangle:
1/2(12)(15)
1/2(180)
90 cm²
Entire Shape:
300 cm² + 90 cm² = 390 cm²
Order the following rational numbers from least to greatest.
1.3 5/8
\
2.3 2/5
3.3.30
4.3.5
5.3 1/3
Answers
Answer:
1.3 5/8 ,4.3.5 ,2.3 2/5, 5.3 1/3
Step-by-step explanation:
what is x + 15 > 3?
please hurry i need this for a math test and I will give a lot of points
Answers
Answer:
hmm
Step-by-step explanation:
Answer:
x>-12
Step-by-step explanation:
x + 15 > 3 (Group like terms)
x>3-15
x>-12
Help this is due tonight.
What is 4x + 3y = -20 and x - 3y = -20
PLZ HELP
Answers
Answer: y= - 4/3 x - 20/3
Which term is not a like term?
A.3x
B.4y
C.7x
D.x
Answers
Step by step explanation
Katy buys 2 DVDs every 2 weeks. How many DVDs will she buy in 14 weeks?
A. 28
B. 4
C. 56
D. 14
Answers
Hope this helps :P
Find the difference. Write you answer in simplest form.
9/10 - 4/10
Answers
Answer:
1/2
Step-by-step explanation:
hope it helps :)
What’s the measurement of
Answers
Step-by-step explanation:
4x and 6x sit on a straight line therefore must equal to 180°
4x+6x = 180° (∠'s on str. line)
10x = 180
x= 180/10
x= 18
Then we need to find ∠UYV
∠UYV = 4x
=4(18)
=72°
So ∠UYV = 72°
solvex
(3 x - 9)(3x - 1) = 0
Answers
Answer:
(3x-9)(3x-1)=0
3x-9=0
3x= 9
x=9/3
x= 3
OR
3x-1=0
3x=1
x=1/3
Solve for x in the diagram * 10 POINTS HELP*
Answers
Answer:x+42+3x = 90
Combine like terms:
3x+x = 4x
42+4x = 90
Subtract 42 to both sides
90-42 = 48
Divide 4 by 48
48/4 = 12
X = 12
100% right
Step-by-step explanation:
Help and please make sure it’s right :)
Answers
Answer:
11
Step-by-step explanation:
7x + 8 = 6x + 19 (alternate angles)
7x - 6x = 19 - 8
x = 11
How do you know when you have a difference of perfect squares?
Answers
In general, a variable to any even power is a perfect square.
So for example, x² is a perfect square and so is y¹⁴.
A common made by students is not in factoring the difference of two squares, but just failing to recognise that the difference of two squares exist.
It will also help to review your perfect squares
for the numbers between 1 and 16.
Please help me out and make sure to show your work! thanks
Answers
Answer:
1075 sq ft
Step-by-step explanation:
There are a few ways to do this but I am only going to show one.
35 x (25 + 8) - (5 x 8 + 8 x 5) = 1155 - 80 = 1075
Please help me!!!!!!!!!!!!!
Answers
Answer:
96 ft
Step-by-step explanation:
do 10 * 8 + 8 * 2
~~~~~~
In ΔVWX, x = 41 cm, v = 17 cm and ∠W=134°. Find the length of w, to the nearest centimeter.
Answers
Answer:
54
Step-by-step explanation:
deltamath gave me the answer
The length of w is 54 cm.
What is Trigonometry?One of the six mathematical functions used to express the side ratios of right triangles, the trigonometric function includes the sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc). The figure shows these six trigonometric functions in respect to a right triangle. Surveying, engineering, and navigation issues where one of a right triangle's acute angles and the length of a side are known but the lengths of the other sides need to be determined can be solved with ease using trigonometry.
As per the given data:
x = 41 cm
v = 17 cm
∠W = 134°
To find the length of w:
From the cosine law: [tex]cos(W) = \frac{x^2 + v^2 - w^2}{2xv}[/tex]
[tex]w = \sqrt{x^2 + v^2 - 2xvcos(W)}\\w = \sqrt{(41)^2 + (17)^2 - 2(41)(17)cos(W)}\\w = \sqrt{1681 + 289 + 968.35} = \sqrt{2938.35}\\w = 54 \:cm[/tex]
Hence, the length of w is 54 cm.
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what's four minus 1 third
Answers
Answer:
3 2/3
Step-by-step explanation:
hope this helps
Answer:
3.6 is the answer
Step-by-step explanation:
Brainliest?
Hannah put $2,000 in a savings
account. After 2 years she earned
$180 in simple interest. What was her
interest rate?
Answers
Answer:2000/180=11.11 p
Step-by-step explanation:
mark brainliest
Ramon paid a flat fee of $269.50 for a year's worth of vet visits for his 4 cats. He made 14 visits during the year. What was the average cost per vet visit?
Answers
Answer:
The average cost per vet visit was $19.25.
Step-by-step explanation:
From the information given, you can find the average cost per visit by dividing the total amount paid for a year's worth of vet visits by the number of visits:
269.50/14= $19.25
According to this, the answer is that the average cost per vet visit was $19.25.
If a ship had 1500 boars, what is the age of captain??
Answers
Answer:
At least 24 (if started around 19) or 23 (if started internship around 18)
[ results are only if the boars are dead and the ship's capacity is closest to the TEU ]
What is the slope between the points (-2, -4) and (3, 4)?
Answers
Answer:
m= y2_ y1÷ x2-x1= 4-(-4) ÷ 3-(-2) = 8 ÷ 5
I need help please and thank you! :)
Answers
Answer:
Sorry I’m only in 8th grade and can’t figure it out
Step-by-step explanation:
An economist tracking a country’s imports and exports finds that one year, the country’s imports total an equivalent of $64,821,824, and its exports total an equivalent of $54,058,726. What is this country’s balance of trade for that year?
a.
trade deficit of $10,763,098
b.
trade deficit of $118,880,550
c.
trade surplus of $10,763,098
d.
trade surplus of $118,880,550
Answers
Answer:
A. Trade deficit of $10,763,098Step-by-step explanation:
A trade deficit occurs when imports exceed the exports.A trade surplus occurs is when exports exceed the imports.In the given case we have trade deficit of:
$64821824 - $54058726 = $10763098Correct choice is A
Answer:
a. trade deficit of $10,763,098
Step-by-step explanation:
A company has to make a large number of boxes.
The company has 8 machines.
All the machines work at the same rate.
When all the machines are working, they can make all the boxes in 9 days.
The table gives the number of machines working each day.
day 1
day 2
day 3
all other days
Number of machines working
4
5
7
8
Work out the total number of days taken to make all the boxes.
Your final line must say, It takes ... days to make all the boxes
Answers
Answer:
It takes 10 days to make all the boxes
Step-by-step explanation:
9*8=72
72-(4+5+7)=56
56/8=7
7+3=10
It takes 10 days to make all the boxes
Write 33 kg as a fraction of 4 tonnes.
Answers
Answer:
jsjjrjjsndndjjdjdjfjfjdjdjeoowke
The fraction of 33 kg as a fraction of 4 tonnes is 33/4000.
What is Unit Conversion?The same property is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other length unit instead of miles.
For example, inches, centimeters, and miles are all measures of distance.
Given:
Amount= 33 Kg
We have to convert Kg into Tones
We know, 1 tonne= 1000 Kg
So,4 tonee = 4 x 1000
= 4000 Kg
Thus, 33 kg as a fraction of 4 tonnes.
= 33/4000
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Is the figure an example of parallel lines?
Yes, the lines intersect.
Yes, the lines do not intersect.
No, the lines intersect.
No, the lines do not intersect.
Answers
Therefore this is not an example of parallel lines because the lines intersect
The answer is C
Answer:
No,the lines intersect
In a circle, if you connect the edge of diameter and a point on the circumference, it forms a right triangle.
Is the above statement always true? sometimes true? or always false? Show your answer and support it by reasoning. (can use a picture)
Answers
Answer:
always true
Step-by-step explanation:
Find the area of the composite figure below.
Answers
Answer:
63 cm^2.
Step-by-step explanation:
Total Area = area rectangle + area of triangle on right + area of triangle at the top.
= 6 * 8 + 1/2 * 1 * 6 + 1/2 * 8 * 3
= 48 + 3 + 12
= 63 cm^2.
If the dimensions of a cylinder are doubled he suface area will
Answers
It will be doubled, Because the surface area is getting bigger as the dimensions get bigger.
Use the vertical method to multiply (4a^3 - 2a + 3a^2 + 1) (4a3−2a+3a2+1) and (3 - 2a + a^2). (3−2a+a2). What would be the value of D?
Answers
Answer: C 3a^4
Step-by-step explanation:
I just took the test
The multiplication operation to multiply the equation (4a^3 - 2a + 3a^2 + 1) and (3 - 2a + a^2) with vertical method is done and the value of D obtained is 3a⁴.
What is vertical method to multiply?The vertical method to multiply is one of the simple method to perform multiplication operation.
In this method, the two terms which need to be multiply is kept one below the other and each element of first is multiplied with the other term.
The equations given in the problem are, (4a^3 - 2a + 3a^2 + 1) (4a3−2a+3a2+1) and (3 - 2a + a^2). (3−2a+a2). Arrange them and write in vertical manner to multiply.
[tex]4a^3+3a^2-2a+1[/tex]
X [tex]a^2-2a+3[/tex]
______________________
+ [tex]12a^2+9a^3-6a+3[/tex]
[tex]-8a^4-6a^3+4a^2-2a[/tex]
[tex]4a^5+3a^4-2a^3+a^2[/tex]
_______________________
[tex]4a^5-5a^4+4a^3+14a^2-8a+3[/tex]
This is the complete multiplication of given equation with vertical method. Comparing with the sum shown in figure we get,
[tex]A=4a^2\\B=4a^3\\C=3\\D=3a^4[/tex]
Thus, the multiplication operation to multiply the equation (4a^3 - 2a + 3a^2 + 1) and (3 - 2a + a^2) with vertical method is done and the value of D obtained is 3a⁴.
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How likely is it that the spinner will land on a green space?
Answers
Answer:
1/5
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation: