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
Help pls I’m getting timed
Which algebraic expression represents "a number divided by nine"?
9 + a
9а
9/a a/9
Answer:
a/9
Step-by-step explanation:
Find the median for the given sample data. The number of vehicles passing through a bank drive-up line during each 15-minute period was recorded. The results are shown below. 24 26 24 27 27 24 29 26 34 30 30 28 23 30 24 19 14 26 26 26 Find the median number of vehicles going through the line in a fifteen-minute period.
Answer: 26
Step-by-step explanation: You would order the numbers from least to greatest, then find the middle number of the set.
14 19 23 24 24 24 24 26 26 26 26 26 27 27 28 29 30 30 30 34
what is 6÷102??
for math
Find the distance between 5 + 4i and 9 + 3i.
Answer:
Distance = √17
Step-by-step explanation:
We are looking for the distance between 5 + 4i and 9 + 3i.
This is as equal to saying we have two points in the plane, whose coordinates are; (5, 4) and (9, 3)
Distance between the 2 points will be;
D = √[(5 - 9)² + (4 - 3)²]
D = √(16 + 1)
D = √17
Cindy can type 65 words per minute. David can type 75 words per minute. In 7 minutes, how many more words can David type than Cindy?
Answer:
70
Step-by-step explanation:
It's 70 because first you have multiply for Cindy's words 65×7=455 then multiple David's 75 word times 7 and you get 525. Lastly, You subtract both of their totals and get 70
Hope this helped!
Clue #1: The sum of the digits of a 3 digit number is 20. Clue #2: The tens digit is 2 less than the hundreds digit. Clue #3: The units digit is 12 less than the sum of the other two digits What is the 3 digit number, show or explain how you solved the problem. Help me! Please show work
Answer: The number is 974
Step-by-step explanation:
First, any 3 digit number can be written as:
N = a*100 + b*10 + c
Where a, b, and c are single-digit numbers.
a is the hundreds digit
b is the tens digit
c is the unit digit
We can write the clues as:
#1: a + b + c = 20
#2: b = a - 2
#3: c = a + b - 12
Then we have a system of equations:
a + b + c = 20
b = a - 2
c = a + b - 12
To solve this, we need to isolate one of the variables in one equation and then replace this in the other equations, we can see that b is already isolated in the second equation, then we can replace that in the first and third equations:
a + (a - 2) + c = 20
c = a + (a - 2) - 12
Now we can see that c is isolated in the second equation, then we can replace that in the first one to get:
a + (a - 2) + (a + (a - 2) - 12) = 20
Now we can solve this for a:
a + a - 2 + a + a -2 - 12 = 20
4*a - 16 = 20
4*a = 20 + 16
4*a = 36
a = 36/4 = 9
With this, we can find the values of b and c.
b = a - 2 = 9 - 2 = 7
c = a + b - 12 = 9 + 7 - 12 = 4
Then the 3-digit number is:
N = a*100 + b*10 + c = 9*100 + 7*10 + 4 = 974
N = 974
please solve this equation and show work 4y−70=12y+2
Answer:
Step-by-step explanation:
Simplifying 4y + -70 = 12y + 2
Add -12y to each side of the equation. -70 + 4y + -12y = 2 + 12y + -12y
Add 70 to each side of the equation. -70 + 70 + -8y = 2 + 70
Divide each side by -8.
So y = -9 is your answer.
Hope I Helped!!!
What is an equation of the line that passes through the point (-2, 2) and is parallel to the line 2x + y = 1?
An equation of the line that passes through the point (-2, 2) and is parallel to the line 2x+y=1 is y=2x+6.
Given that, the equation of a line is 2x+y=1 and the coordinate point is (-2, 2).
What is an equation of the line?The equation of line is an algebraic form of representing the set of points, which together form a line in a coordinate system. The numerous points which together form a line in the coordinate axis are represented as a set of variables x, y to form an algebraic equation, which is referred to as an equation of a line.
In the equation of a line 2x+y=1, slope is 2.
As we know the slopes of parallel lines are equal, that is m1=m2.
Now, put (-2, 2) and m=2 in y-y1=m(x-x1) and simplify.
That is, y-2=2(x+2)
⇒ y-2=2x+4
⇒ y=2x+4+2
⇒ y=2x+6
Therefore, an equation of the line that passes through the point (-2, 2) and is parallel to the line 2x+y=1 is y=2x+6.
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What is the graph of y = 3jx|?
Ο Α.
5
>
Note: Your question sounds a little unclear and incomplete. I assume you want to get the idea about the graph of 3|x|. My answer may still clear your concept about the graphs.
Answer:
The graph of y=3|x| is attached below.
Step-by-step explanation:
Given the function
[tex]y=3\left|x\right|[/tex]
Determining the domain:
We know that the domain of a function is the set of input or argument values for which the function is real and defined.
The function has no undefined points nor domain constraints. Therefore, the domain is:
[tex]-\infty \:<x<\infty \:[/tex]
Determining the range:
We also know that the range of a function is the set of values of the dependent variable for which a function is defined.
[tex]\mathrm{The\:range\:of\:an\:absolute\:function\:of\:the\:form}\:c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k[/tex]
[tex]k=0[/tex]
[tex]f\left(x\right)\ge \:0[/tex]
Thus,
[tex]\mathrm{Range\:of\:}3\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
Determining the x-intercept and y-intercept:
From the graph, it is clear that at x=0, y=0. Therefore, the y-intercept is (0, 0)From the graph, it is clear that at y=0, x=0. Therefore, the y-intercept is (0, 0)The graph of y=3|x| is attached below.
find the slope from the graph. (3,-1) (0,-3)
Two friends shop for fresh fruit. Jackson buys a watermelon for $6.85 and 5 pounds of cherries. Tim buys a pineapple for $3.35 and 4 pounds of cherries. Use the variable p to represent the price, in dollars, per pound of cherries. Write and simplify an expression to represent how much more spent.
Answer:
3.5 + p
Step-by-step explanation:
Jackson:
Watermelon = $6.85
Cherries = 5p
Total spent = 6.85 + 5p
Tim:
Pineapple = $3.35
Cherries = 4p
Total = 3.35 + 4p
Where,
P = price per pound of Cherries
how much more spent?
Jackson's total spent - Tim's total spent
= 6.85 + 5p - (3.35 + 4p)
= 6.85 + 5p - 3.35 - 4p
= 3.5 + p
Please answer A.S.A.P.!!!!
Malcolm is trying a very low-carbohydrate diet. He would like to keep the amount of carbs consumed in grams between the levels shown in the following compound inequality:
50 50; Malcolm needs to consume less than 20 grams of carbohydrates or more than 50 grams of carbohydrates.
B) x > 20 and x 30 and x 60; Malcolm needs to consume less than 30 grams of carbohydrates or more than 60 grams of carbohydrates.
Answer:
x > 20 and x < 50; Malcolm needs to consume more than 20 grams of carbohydrates, but less than 50 grams of carbohydrates.
Step-by-step explanation:
please please help i’ll give brainliest tysm:))
100 POINTS PLEASE HELP!!!!
Problem-solving Tickets for 2 adults and 4 children at a theme park cost £152.
An adult ticket costs twice as much as a child ticket.
Write and solve an equation to work out the price of an adult ticket.
Answer:
Apply the problem-solving method to solve problems involving tickets with ... How many student tickets and how many adult tickets were sold? ... Step 4. Translate: Write the equation by adding the total values of each type of ticket. ... We find the total value of each type of ticket by multiplying the number of tickets times its ...
Step-by-step explanation:
Ticket Problems: algebra word problems involving tickets, how to solve ticket word ... for distinguishing between quantity and value in this type of word problems. ... The cost of tickets for a play is $3.00 for adults and $2.00 for children . ... Use Substitution Method ... A child's ticket costs $6.00 and an adult's ticket costs $10.00.
simplify polynomial expressions with multiplication:
(8p-7)(5p^2+7p-3)
Answer:
-2p3 • (62p2 + 72p - 143)
Step-by-step explanation:
(30 points!) Powers of i worksheet
Answer:
x+7=14
x=7
(7)+7=14
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!
Answer:
It would be the 2nd one because 15+27=42 and that is less than 44 which should be more
Step-by-step explanation:
Mrs. Malone has $75 to buy volleyball for lincoln Middle School. How many can she buy at $9 each?
Answer:
8porque9x8da72
Step-by-step explanation:
a
Answer:
Step-by-step explanation:
To find the number of volleyballs she can buy all you have to do is divide 75 by 9 which gives you 8.3333333 So she can buy approximately 8 volleyballs with 3 dollars to spare. You could also just multiply 9 by 8 to check your answer wich gives you 72 dollars
Me and my daughter are having a disagreement on this question, I would appreciate the help.
Answer:
(4t - 8/5) - (3 - 4/3t) = 16/3t - 23/5
5(2t + 1) + (-7t + 28)= 3t+33
(-9/2t +3) + (7/4t + 33) = -11/4c+56
3 (3t-4) - (2t + 10)= 7t -22
Sooo Sorry that it took soooo long! Hope this helps!!!
Happy holidays!!
[tex]I need help can someone help? I’m really stuck and it’s so really soon! I need to show my work[/tex]
Anna sells candy apples at her yard sale. She wants to earn more than $40. She sells the apples for $2 and has earned $26. How many apples does she need to sell to reach her goal?
Answer:
7 apples
Step-by-step explanation:
40 - 26 = 14
14 / 2 = 7
A person drilled a hole in a die and filled it with a lead weight, then proceeded to roll it 200 times. Here are the observed frequencies for the outcomes of 1, 2, 3, 4, 5, and 6, respectively: 28, 29, 40, 41, 28, 34. Use a 0.10 significance level to test the claim that the outcomes are not equally likely. Does it appear that the loaded die behaves differently than a fair die
Solution :
The objective of the study is to test the claim that the loaded die behaves at a different way than a fair die.
Null hypothesis, [tex]$H_0:p_1=p_1=p_3=p_4=p_5=p_6=\frac{1}{6}$[/tex]
That is the loaded die behaves as a fair die.
Alternative hypothesis, [tex]$H_a$[/tex] : loaded die behave differently than the fair die.
Number of attempts , n = 200
Expected frequency, [tex]$E_i=np_i$[/tex]
[tex]$=200 \times \frac{1}{6} = 33.333$[/tex]
Test statistics, [tex]$x^2= \sum^6_{i=1} \frac{(O_i-E_i)^2}{E_i} $[/tex]
[tex]$=\frac{(28-33.333)^2}{33.333}+\frac{(29-33.333)^2}{33.333}+\frac{(40-33.333)^2}{33.333}+\frac{(41-33.333)^2}{33.333}+\frac{(28-33.333)^2}{33.333}+$[/tex][tex]$\frac{(34-33.333)^2}{33.333}$[/tex]
≈ 5.8
Degrees of freedom, df = n - 1
= 6 - 1
= 5
Level of significance, α = 0.10
At α = 0.10 with df = 5, the critical value from the chi square table
[tex]$x^2_{\alpha}= \text{chi inv}(0.10,5)$[/tex]
= 9.236
Thus the critical value is [tex]$x_{\alpha}^2=9.236$[/tex]
[tex]$P \text{ value} = P[x^2_{df} \geq x^2]$[/tex]
[tex]$=P[x^2_5\geq 5.80]$[/tex]
= chi dist (5.80, 5)
= 0.3262
Decision : The value of test statistics 5.80 is not greater than the critical value 9.236, thus fail to reject [tex]$H_o$[/tex] at 10% LOS.
Conclusion : There is no enough evidence to support the claim that the loaded die behave in a different than a fair die.
Help me pls ASAP thank you
Answer:
3rd option
Step-by-step explanation:
The input(x) does not repeat
solve for "x" : 2x + 3x + 4x =36
Answer:
4
Step-by-step explanation:
2x + 3x + 4x = 36
Evaluate like terms.
9x = 36
Find x.
x = 36 ÷ 9
x = 4
Answer:
b) 4
Step-by-step explanation:
2x+3x+4x=36
=5x+4x=36
=9x=36
x=36/9
x=4
8 - 10 is the same as
A. -8 + -10
B. 8 + (-10)
C. -8 + 10
D. 8 + 10
Solve and Graph: 12 – ⅔ x > 6
Answer:
There's the graph
But the answer is x<9
X is all values below 9.
What is the common ratio for the sequence 1, 4, 16, 64,..?
Answer:
1:4
Step-by-step explanation:
1/4
4/16 ->1/4
16/64-> 1/4
Answer:4 is the answer to all of this
Rates Lin, Diego, and Elena are competing to see who can finish their book the fastest. Lin read the first 54 pages from a 270-page book in the first 3 days. Diego read the first 100 pages from a 320-page book in the first 4 days. Elena read the first 160 pages from a 480-page book in the first 5 days. If they continue to read every day at these rates, who will finish first, second, and third? Explain or show your reasoning:
Answer:
Diego will finish first while Lin and Elena would finish reading their book at the same time
Step-by-step explanation:
Rates Lin, Diego, and Elena are competing to see who can finish their book the fastest.
Their rates is calculated as:
For Lin
Lin read the first 54 pages from a 270-page book in the first 3 days.
54 pages = 3 days
270 pages = x
Cross Multiply
54x = 270 × 3
x = 270 × 3/54
x = 15 days
For Diego
Diego read the first 100 pages from a 320-page book in the first 4 days.
100 pages = 4 days
320 pages = x days
Cross Multiply
100x = 320 × 4
x = 320 × 4/100
x = 12.8 days
For Elena
Elena read the first 160 pages from a 480-page book in the first 5 days.
160 pages = 5 days
480 pages = x days
Cross Multiply
160x = 480 × 5
x = 480 × 5/160
x = 15 days
If they continue to read every day at these rates, who will finish first, second, and third?
Diego will finish reading his book first while Lin and Elena would finish reading their book at the same time
Answer:
Diego will finish first while Lin and Elena would finish reading their book at the same time
please help me like i really don't understand this and i really need help
Answer:
Therefore, the coordinates of the vertices of ΔA'B'C' after the dilation with a scale factor of 2.5.
A'(-5, -2.5)B'(2.5, 5)C'(5, -10)Step-by-step explanation:
Given the vertices of ΔABC
A(-2, -1)B(1, 2)C(2, -4)Given that ΔA'B'C' is a dilation of ΔABC with a scale factor of 2.5 and the center of dilation (0, 0).
We know that when the scale factor > 1, then the image is enlarged.
The formula to determine the dilation with a scale factor of 2.5.
P(x, y) → P'(2.5x, 2.5y)
Here, P' is the image of P, and the vertices of the image is dilated by a scale factor of 2.5.
In other words, the vertices of the image can be obtained by multiplying the vertices of the original triangle with 2.5.
Thus,
P(x, y) → P'(2.5x, 2.5y)
A(-2, -1) → P'(2.5(-2), 2.5(-1)) = A'(-5, -2.5)
B(1, 2) → B'(2.5(1), 2.5(2)) = B'(2.5, 5)
C(2, -4) → C'(2.5(2), 2.5(-4)) = C'(5, -10)
Therefore, the coordinates of the vertices of ΔA'B'C' after the dilation with a scale factor of 2.5.
A'(-5, -2.5)B'(2.5, 5)C'(5, -10)Please help I’ll give you brainliest
Jim's timecard is below. For each day figure out the total hours he
worked (a-e), and find the total number of hours he worked for the week. Please help
TOTAL
OUT
4:30
5:00
a.
b.
Monday
Tuesday
Wednesday
Thursday
Friday
IN
8:30
8:30
8:30
8:00
8:30
OUT
11:30
12:30
11:30
12:00
11:30
IN
12:30
1:00
12:00
12:30
12:30
C.
d.
6:00
6:30
7:30
Total
e.
f.
Answer:
a. 7
b 8
c 9
d 10
e 10
f 44
Step-by-step explanation: