The solution is Option D.
The fair price of a 1900 ft² home is given by the equation A = $ 176,000
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 square feet of the house be represented as x
Let the number of houses be represented as y
Let the first point be P ( 1400 , 105)
Let the second point be Q ( 1500 , 183 )
Now , the slope of the equation is given by
Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope m = ( 183 - 105 ) / 1500 - 1400
Slope m = 78 / 100
Slope m = 0.78
Now , the equation of line is y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 1400 = 0.78 ( x - 105 )
On simplifying the equation , we get
y - 1400 = 0.78x - 81.9
Adding 1400 on both sides of the equation , we get
y = 0.78x + 1318.1
Therefore , the value of y is 0.78x + 1318.1
Hence , the equation of line is 0.78x + 1318.1 and the price is $ 176,000
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Answer:
Step-by-step explanation:
b i think
From two cities that are 500 mi apart, two cars left simulaneously moving towards each other. The speed of one car was 10 mph greater than the speed of the other car. In 5 hours the cars met. Find the speed of each car.
Given:
Distance between to cities = 500 mi
Two cars left simultaneously moving towards each other.
The speed of one car was 10 mph greater than the speed of the other car.
They meet in 5 hours.
To find:
The speed of each car.
Solution:
Let x mi/h be the speed of one car.
So, speed of second car = (x + 10) mi/h
Two cars left simultaneously moving towards each other.
So, their relative speed = x + (x+10) = (2x+10) mi/h
We know that,
[tex]Speed =\dfrac{Distance}{Time}[/tex]
On substituting the values, we get
[tex]2x+10=\dfrac{500}{5}[/tex]
[tex]2x+10=100[/tex]
[tex]2x=100-10[/tex]
[tex]2x=90[/tex]
Divide both sides by 2.
[tex]x=\dfrac{90}{2}[/tex]
[tex]x=45[/tex]
Now,
Speed of one car = 45 mi/h
Speed of other car = 45+10
= 55 mi/h
Therefore, the speeds of two cars are 45 mi/h and 55 mi/hr.
there are 36 carpenters in a crew. On a certain, 29 were present. What percent showed up for work? (round to the nearest tenth)
Answer:
30
Step-by-step explanation:
Find:11/3 ÷ 2/3
the quotient is 5 and _____
Answer:
5.5 quotient 5 and rest 1
But I would answer quotient is 5 and half
Step-by-step explanation:
11/3 ÷ 2/3 = 11/3 * 3/2 = 11/2= 5.5
So the quotient is 5 and rest is 1
Hope this helps, have a good day
Answer:
5 1/2
Step-by-step explanation:
11/3÷2/3
Applying the fractions formula for division,
=11/3×3/2
=33/6
Simplifying 33/6, the answer is
=5 1/2
Hurry I will mark brainlyest and 20 points!!!
What division problem can be represented using the number line?
Answer:
c can br used using the number line
Answer:
I believe its A
Step-by-step explanation
HOPE THIS HELPS
Which expression is equivalent to 2(a+3) when a= 3?
A 2(3)
B 5(3)
C 2(3)+3
D 2(3)+6
Answer:
D
Step-by-step explanation:
2(a+3), a=3
2(3+3)
2(6)
12
A) 2(3)=5 (not equivalent)
B) 5(3)=15 (not equivalent)
C) 2(3)+3=9 (not equivalent)
D) 2(3)+6=12 (equivalent)
Answer:
I believe it'll be D.
Step-by-step explanation:
2(a+3) would be 2(3+3). Following PEMDAS, it'll be 2(6), or in other words 12.
In the answer D, 2(3) would equal 6. And 6 + 6 equals 12.
Sorry if this explanation isn't proper enough.
Where is the point (0, -4) located on the coordinate plane?
Answer:
Start from coordinate 0, the exact center where the lines meet, then count down four, leave your point at -4 on the middle line.
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Which value is included in the solution set for the inequality graphed on the number line?
A. -5
B. -2
C. 0
D. 3
Answer:
since the graph is in the direction it is the only number choice it acctually passes through would be -2.
Is the relationship for Camille’s puppy’s weight in terms of time increasing or decreasing? Explain your response.
I NEED HELP
Answer: Increasing because it is gaining weight
Answer:
It's increasing.
Step-by-step explanation:
Camille's puppy is gaining weight as shown in the graph not loosing weight. If Camille's puppy was losing weight it'd be decreasing.
Hope this helps!! Good luck!! :)
What is the average rate of change of f over the interval -7 < or equal to x
Give an exact number
Answer:
[tex]\frac{4}{3}[/tex]
Step-by-step explanation:
The average rate of change can be found by using the following formula
[tex]\frac{f(x_{2}) - f(x_{1}) }{x_{2} - x_{1}}[/tex]
Since the interval goes from -7 to 2, we should find the y-values that correspond to x=-7 and x=2.
By inspection of the graph, we can clearly see that when x is -7, y is -7 as well and when x is 2, y is 5.
Now that we know this, we can simply plug these values into the formula!
[tex]\frac{f(2) - f(-7) }{2 - (-7)} = \frac{5 - (-7)}{2 - (-7)} = \frac{5 +7}{2+7} = \frac{12}{9} = \frac{4}{3}[/tex]
Good luck!
write the equation of the line that passes through the point (2,-1) and has a slope of -3
Answer:
y=2/-1 -3
Step-by-step explanation:
Suppose you are told that 1/2 = 3' on a scale drawing. If there is an object that measures 5" in the drawing, what would its actual length be?
Scale drawings are used to represent a large drawing using smaller measurements
The equivalent of 5" in the drawing is 30' i.e. 30 feet
The scale is given as:
[tex]\mathbf{\frac 12" = 3'}[/tex]
A single quote means feet, while a double quote means inches
So, the scale can be rewritten as:
[tex]\mathbf{\frac 12\ inches= 3\ feet }[/tex]
Multiply both sides by 10
[tex]\mathbf{\frac 12\ inches \times 10 = 3\ feet \times 10}[/tex]
Simplify
[tex]\mathbf{5\ inches = 30\ feet }[/tex]
Rewrite as:
[tex]\mathbf{5" = 30'}[/tex]
Hence, the equivalent of 5" in the drawing is 30' i.e. 30 feet
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Eli wanted to order candy online. Company A 2 1/2 pounds of chocolate for $32.50. How much is Company A charging per pound of chocolate?
Answer: Company A is charging $13 per pound of chocolate
Step-by-step explanation:
32.5/2.5=13= 1 pound
Check:
13*2.5=$32.5
PLEASE HELP ME
Matt wants to spend no more than 120 minutes watching TV on his day off. It takes 40 minutes to watch one episode of his favorite show, The Office, and half that amount of time to watch one episode of his other favorite show, Seinfeld.
Which inequality represents all possible combinations of x, the number of episodes of The Office, and y, the number of episodes of Seinfeld, that Matt can watch on his day off?
A:20x+40y>_120
B:20x+40y _120
D40x+20y<_120
Answer:
D "Matt wants to spend no more than" That indicates that it would be Less Than or = to
Step-by-step explanation:
Help with 3-5 plz I will mark brainliest and plz show steps thx
Im in desperate need of help
I need help with Just ONE question in math specifically 8th grade pls help.
Josh is playing golf he has 1 white golf balls 2 yellow golf balls , 3 orange balls , 2 green golf balls in his golf bag at the first hole he randomly draws a ball from his bag , what is the theoretical probability of drawing a orange ball
Answer: 3/8
Step-by-step explanation:
1+2+3+2= 8
he has 8 balls in total
he has 3 orange balls so the probability is 3/8
what is - 10 = w - 2 ?
Answer:
W= - 8
-10 + 2 = w
-8 = w
W = -8
Answer:
w = -8
Step-by-step explanation:
1. Add 2 to the -10
2. -10 + 2 = -8
W = -8
who plays forza horizon 3
Answer:
I recently got it on my xbox
Step-by-step explanation:
I usually play with the family my name on xbox is wood
Answer:
me
Step-by-step explanation:
Leon tried to solve an equation find leons mistake 1/2w-12=18
Step one : 1/2w=30
Step two: w=15
Answer:
They made a mistake of the value of W. If half of W is 30, then 1/1 should thus be 60, but it's 15. Leon made a mistake on the value of W. 1/2w-12=18 would actually be 3 based of background information.
Step-by-step explanation:W-
Answer:
Step two
Step-by-step explanation:
step one isn't wrong
and he infact made a mistake
7 − 58z = −23 ASPA
A. 9.38
B. 48
C. −24
D. 24
Answer:
the given are not correct the real answer is 15/29 or 0.517...
Step-by-step explanation:
7-58z = -23
-58z = -23 -7
-58z =-30 the negatives will cancel each other out
-58. -58
z = 30/58 divide both by 2
z= 15/29 which can also be equal to 0.517...
Hello I don't know what I'm doing can someone please help.
I don't know how to solve a standard form slope equation can you please explain what I have to do.
The slope of the line 5x + y = 15 is___
Answer:
x = -1/5y +3
Step-by-step explanation:
add -y to both sides
5x + y + -y = 15 + -y
5x = -y + 15
step 2 divide both sides by 5
5x/5 = -y +15/5
x= -1/5 y +3
Answer
x= -1/5 y + 3
How is (5 , -7) and (-5 , 7) related on a coordinate plane?
Answer:
they are on opposite quadrants and they meet exactly in the origin (0,0)
EASY POINTS FOR Y'ALL!!!!!!!!!!
Answer:
a
Step-by-step explanation:
Answer:
the answer is A
Step-by-step explanation:
happy new year
What is the slope of -x + 4 = y? *
Answer:
m=-1
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Once you move the -x to the other side of the equation, it becomes +x, making the slope 1
~theLocoCoco
(8+k³-6k⁴)+(4-3k⁴+8k²)
(8 + k³ - 6k⁴) + (4 - 3k⁴ + 8k²)
8 + k³ - 6k⁴ + 4 - 3k⁴ + 8k²
(8 + 4) + (8k²) + (k³) + (-6k⁴ -3k⁴)
(12) + (8k²) + (k³) + (-9k⁴)
12 + 8k² + k³ - 9k⁴
NEED HELP FASTTTTT!!! WILL GIVE BRAINLIEST!!!
Answer: -36
Step-by-step explanation:
What is the y-intercept of the equation?
Answer:
The answer would be 0
Step-by-step explanation:
Use y = m x + b :)
Stephen gathered data about the average rainfall in two cities. He organized his data in the given graph.
Average Rainfall
5
City A
ul.
City B
0
Jan Feb Mar Apr May Jun Jul Aug Sept Oct Nov Dec
Month
Click on all the true statements about the data.
A. The range of the data for City B is higher than City A.
B. The range of the data for City A is higher than City B.
O C. The median of the data for City B is higher than City A.
UD. The range of the data is the same for both City A and City B.
E. The median of the data is the same for both City A and City B.
Answer: B.The range Is Higher for city A than City B
E. The median is the same for city A and City B
According to the calculations, the correct statements are B and C.
Given that Stephen gathered data about the average rainfall in two cities, and he organized his data in the graph, to determine which statements are correct, the graph must be analyzed and the following mathematical reasoning must be carried out:
The average rainfalls of City A range from 0.5 to 4.5 per month, with a variable range of 4 points. In turn, the average rainfalls of City B range from 1 to 4 per month, with a variability range of 3 points. Therefore, the range of the data for City A is higher than City B, so option B is correct, and options A and D are incorrect.
Regarding the median rainfalls, City A has a cumulative total of 27 points over 12 months, that is, an average of 2.25 per month. In turn, City B has a cumulative total of 28.5 points over 12 months, that is, an average of 2,375 per month. Therefore, the mean of City B is higher, so option C is correct.
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please help! i’ll mark brainliest!!!
Answer:
(6+x)(5+x)
Step-by-step explanation:
What’s the solution to this problem-5/2=3/4+n
Answer:
..................................................
Step-by-step explanation: