Answers
Answer:
C.
Step-by-step explanation:
You can memorize the patterns of fractions of ninths.
0/9 = 0
1/9 = 0.1111111111111111111111
2/9 = 0.222222222222
3/9 = 0.3333333333333
4/9 = 0.4444444444444
5/9 = 0.5555555555556
6/9 = 0.6666666666667
7/9 = 0.777777777777778
8/9 = 0.88888888888889
9/9 = 1
Hope this helps!
Answer:
C. 8/9
Step-by-step explanation:
Well .8 repeating is not 8/10.
Though many would choose that.
If you do 8 ÷ 10 you get .8 not .8 repeating meaning 8/10 is not correct.
To get .8 repeating we would divide 8 by 9.
Because all natural numbers below 9 can be divided by 9 to create a .repeating itself.
For example 8 ÷ 9 = .8 repeating,
4÷9 = .4 repeating.
Thus,
C. is the correct answer.
Hope this helps :)
Related Questions
Bryan drives at an average speed of 60 miles per hour. At this rate, it will take him 3 hours to drive miles.
Answers
Answer:
180 miles
Step-by-step explanation:
d = rt
d = 60*3 = 180 miles
Answer:
Step-by-step explanation:
Distance traveled in an hour = 60 miles
Distance traveled in 3 hours = 60 * 3 = 180 miles
[tex]solve for x if 4 x+1-9(2 ^{2} +2=0[/tex]
Answers
Answer:
mark my answer as the brainliest
Step-by-step explanation:
x = 53/4
Answer:
4×+1-9 (2^)+2)=0
4×+1-9 (4+2)=0
4×+1(-36-18)=0
4×+1 (-54)=0
4×-54=0
4×=54
×=54÷4
×=13.5
PLEASE HELP!!!! FAST THANK YOU FOR YOUR HELP!!!
With steps please!
Answers
Answer:
The nearest whole number you need to round to is: $3,094.00
Step-by-step explanation:
If Ava deposited the $400.00, which is four-hundred dollars and zero cents each month for here monthly deposits each month, then she would have to have 3.35% compound which is three point thirty-five percent compound price times the number of her monthly deposit of four-hundred dollars and zero cents which is $400.00 she would get the result that $3,094.00 which is three-thousand, ninety-four dollars and zero cents, which is the answer because if you round it with $1,250.00 which is one-thousand, two-hundred and fifty dollars and zero cents then it doesn't work out. So in the end, it would be: $3,094.00!
The price, t, of a lawn mower at Turf Cutters is $240 less than twice the price, d, of the same lawn mower at Lawn Masters. The difference in price between the mower at Turf Cutters and Lawn Masters is $320. Which system of equations can be used to determine the price of the mower at each store? A. t - 2d = -240 t - d = 320 B. 2t - 2d = 240 t + d = 320 C. 2t - d = 240 t - d = -320 D. t - 2d = -240 t - d = -320
Answers
Answer: A. t - 2d = -240 t - d = 320
Step-by-step explanation:
Let t be the price of a lawn mower at Turf Cutters and d be the price of the same lawn mower at Lawn Masters.
As per given , we have
The price, t, of a lawn mower at Turf Cutters is $240 less than twice the price, d, of the same lawn mower at Lawn Masters.
[tex]2d-240=t\\\\\Rightarrow\ t-2d=-240 ...(i)[/tex]
The difference in price between the mower at Turf Cutters and Lawn Masters is $320.
[tex]t-d=320 ...(ii)[/tex]
So, the system of equations can be used to determine the price of the mower at each store is
[tex]t-2d=-240\\\\t-d=320[/tex]
Hence, the correct option is "A."
PLEASE HELP! sketch y = 3x − 2
Answers
Answer:
The graph of the equation y=3x-2 is shown in the picture below!!
Step-by-step explanation:
I hope this helps, if it does please mark brainliest!! Thank you!! Have a great day!
Answer:
Look at the image below ↓
The x stands for the slope and the y stands for the equation.
Chad washes windows after school to make some extra money. He charges $5.50 to wash each window. If the customer provides the supplies, Chad deducts $3.25 from the total cost. One customer paid a total of $35.25 and did provide supplies. Which equation could be used to find the number of windows, w , that Chad washed for this customer? A) 5.5 w + 3.25 = 35.25 B) 5.5 w - 3.25 = 35.25 C) 5.5 w = 35.25 D) 5.5 - 3.25 w = 35.25
Answers
Answer: D is correct if it is really (5.5-3.25)w=35.25
(Without parenthesis it doesn't work)
Answer:
B) 5.5 w - 3.25 = 35.25
Step-by-step explanation:
Chad charges $5.50 per window. ( 5.50w )
Since Chad's customer brought supplies, Chad would deduct $3.25. ( - 3.25)
The customer would be charged $35.25 at the end. ( = 35.25 )
So, the total of the cost of the windows minus the discount would be $35.25.
5.50w - 3.25 = 35.25
Option B's equation would be most appropriate to solve for w.
Can someone help me with the question please
Answers
Answer:
Purple line: 4
Red dashed line: 2
Blue line: 1/2
Step-by-step explanation:
The purple line is the steepest line, therefore it has the biggest constant of proportionality or slope. Since 4 is the biggest number among the others, we attribute it to the purple line (the one with the point C on it).
Think of it this way:
[tex]y = ax+b \\[/tex]
here [tex]b = 0[/tex] so [tex]y = ax[/tex]
The greater a is, the greater y is. So for any value of x, y will be become bigger and bigger if we increase the value of a.
Take for example this one:
[tex]y = 2x \\[/tex]
Take [tex]x=2\\[/tex] therefore [tex]y =4[/tex]
Now take [tex]y = 4x[/tex] and take [tex]x =2[/tex] therefore [tex]y = 8[/tex]
When we increased this constant of proportionality, as you can see from 2 to 4, the value of y increase from 4 to 8.
Hope this is helpful. Think of it really carefully, and I'm sure you'll grasp the concept.
two fifths of a number equals 564. what is the number
Answers
Answer:
1410
Step by step explanation:
2/5x=564
5/2*2/5x=564*5/2
x=1410
Proof: 2/5*1410=564
Hope it helps <3
Answer:
1410
Step-by-step explanation:
Please help with step by step. Thank you.
Answers
Answer:
A) 90 degrees
B) 110 degrees
C) 78.5 in. sq.
D) 15.3 in. sq.
Step-by-step explanation:
A) 90 degrees by the two-tangent theorem
B) 360-90-90-70=110
C) A=pi r-squared
A=3.14x5x5
A=78.5
D) 70/360=0.1944
78.5x0.1944=15.3
Horatio wants to ship a batch of 8 machine parts. The packaging for each part weighs 2 pounds. If each part weighs x pounds, which expression represents the total weight of the parts and their packaging? And if each part weighs 6 pounds, what will the total weight of the shipment be? A. The expression is 2(x + 8), and the weight is 28 pounds. B. The expression is 8(x – 2), and the weight is 32 pounds. C. The expression is 8x – 2, and the weight is 46 pounds. D. The expression is 8x + 2, and the weight is 50 pounds. E. The expression is 8(x + 2), and the weight is 64 pounds. Reset Next
Answers
Answer: E. The expression is 8(x + 2), and the weight is 64 pounds.
Step-by-step explanation:
Given: Number of machine parts in a batch = 8
weight of packaging for each part = 2 pounds
Let x be the weight of each part ( in pounds).
Weight of each part with packaging = x+2
Then, Total weight of the parts and their packaging = (Number of machine parts) x (Weight of each part with packaging )
= 8(x+2)
If each part weighs 6 pounds, then put x= 6
Total weight of the parts and their packaging = 8(6+2)
= 8 x 8 = 64 pounds
Hence, If each part weighs 6 pounds, then the total weight of the shipment will be 64 pounds .
Here is what we know:
8 machine parts
each part = x pouunds
packaging for each part is 2 pounds so 16 pounds for packaging
If y=total weight wiith that information we can form this equation
y=8x + 16
If each part equals 6 pounds the total shipment will be
y=8x+16
y=8(6) + 16
y= 48 + 16
y=64
anyone able to help solve these 2 and find the domain?
Answers
Answer:
A
Step-by-step explanation:
This is a function since no value gives two different outputs
m⇒2n⇒3p⇒2q⇒3The domain is (m,n,p,q) since it's the values that we input in the function
The two non-parallel sides of an isosceles trapezoid are each 7 feet long. The longer of the two bases measures 22 feet long. The sum of the base angles is 140°. a. Find the length of the diagonal. b. Find the length of the shorter base. Round your answers to the nearest hundredth. show work please!
Answers
Answer:
Step-by-step explanation:
as the non parallel sides are equal and it is a trapezoid.∴ base angles are equal.each base angle=1/2×140=70°let the foot of perpendicular from end of shorter side is at distance x from nearest end of longer side.[tex]\frac{x}{7}=cos ~70\\x=7 \times cos~70 \approx 2.394\\2x \approx 4.788 \approx 4.79\\[/tex]shorter side=22-4.79=17.21 ftto find diagonal use cos formula[tex]cos ~70=\frac{22^2+7^2-d^2}{2*22*7} \\308 cos~70=484+49-d^2\\d=\sqrt{533-308~cos~70} \approx~20.68\\where ~d~is~diagonal.[/tex]d=20.68 fta. The length of the diagonal is approximately 15.74 feet.
b. The length of the shorter base is approximately 27.77 feet.
a. To find the length of the diagonal (d), we can use the given information and the formulas mentioned. Let's substitute the values into the formula:
h = (7/2) * tan(140°)
h ≈ (7/2) * (-1.376381920471173)
h ≈ -4.796335681196056
Now, substitute the values into the formula for the diagonal:
[tex]d = \sqrt{(22 - x)^2 + [(7/2) * tan(140\°)]^2}\\\\d = \sqrt{(22 - 7)^2 + [(-4.796335681196056)]^2}\\\\d = \sqrt{15^2 + 23.011228900189124}\\\\d = \sqrt{225 + 23.011228900189124}\\\\d = \sqrt{248.011228900189124}\\\\d = 15.74[/tex]
Therefore, the length of the diagonal is approximately 15.74 feet.
b. To find the length of the shorter base (b), we can use the given information and the law of cosines:
[tex]b^2 = 7^2 + 22^2 - 2 * 7 * 22 * cos(140\°)\\\\b^2 = 49 + 484 - 2 * 7 * 22 * cos(140\°)\\\\b^2 = 533 - 308 * cos(140\°)\\\\b^2 = 533 - 308 * (-0.766044443118978)\\\\b^2 = 533 + 236.924\\\\b^2 = 769.924\\\\b = 27.77[/tex]
Therefore, the length of the shorter base is approximately 27.77 feet (rounded to the nearest hundredth).
To know more about length, refer here:
https://brainly.com/question/30177995
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HELP!!! ANSWER SOON!!!! Which graph shows the solution set for 2 x + 3 greater-than negative 9? A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
Answers
We can solve the inequality 2x + 3 > -9 by first subtracting 3, then dividing by 2:
2x > -12
x > -6
This graph should have an open circle at negative 6 (this is a strict inequality, so x cannot equal -6), with everything to the right shaded (since x is greater than -6).
Answer:
C
Step-by-step explanation:
Did test on edge
Suppose that f(x)=4x+5. What is f^-1 (f^-1(9)) ?
Answers
Step-by-step explanation:
the inverse of the inverse of a function is the function itself
It's like going and coming back
f^-1(f^(-1)9) = f(9) f(9) = 4*9+5f(9) = 36+5 f(9) = 41Answer:
9
Step-by-step explanation:
The inverse of the inverse is the input
f^-1 (f^-1(9)) = 9
As a proof
f(x) = 4x+5
y = 4x+5
Exchange x and y
x = 4y+5
Solve for y
(x+5) = 4y
(x+5)/4 = y
f^-1 (x) = ( x-5)/4
Then find the inverse of this function
y = ( x-5) /4
Exchange x and y
x = (y-5)/4
4x = y-5
4x+5 = y
Which gives us the original function back
f^-1( input) = 4x+5
Using the value given
f^-1 (9) = ( 9-5)/4=4/4 =1
Using the 1 from the previous part as the input
f^-1( 1) = 4*1+5 = 4+5 = 9
Given the lengths of two sides of a triangle, find the range for the length of the third side. (Range means find between which two numbers the length of the third side must fall.) Write an inequality. c 22 and 15 Answer: < 3rd side
Answers
Answer:
| a - b | < length of third side < a + b
Step-by-step explanation:
Visualize the two given sides of the triangle (let's call then a and b), joined at the vertex of the triangle, and forming an angle. We can join the other free end of these two segments, with another segment whose length would vary according to how tiny or large the angle is. We can spread the aperture of the angle they form as much as we can just below [tex]180^o[/tex] (not reaching this angle measure, because in such case, there will be no triangle of tangible area. In such case, the length of the joining segment will be limited by the addition of the two sides:
length of third side < a + b
In the case the aperture of the angle formed by the two given sides is diminished as much as possible to still form a measurable triangle, the angle has to be just larger than zero, and in such case, the segment joining the other to ends of a and b would be just larger than the absolute value of the difference between a and b:
length third side > | a - b|
These are the two extreme cases, and the length of the third side must be within these limits.
Answer:
7<x<37
Step-by-step explanation:
Here is the formula to solve range questions:
22-15<x<22+15
help pls
с LG ZX
D ZH ZY
BB HWY
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DHE ZY
4. Determine if the triangles below are congruent. If
so, what properties are used in your logic?
3. Determine if the triangles below are congruent. If
so, what properties are used in your logic?
4
triangle congruence
5. State what additional information is required to
prove AUML = AKLM by SAS.
6. State what additional information is required to
prove AJHI AUSI by SAS.
M
Answers
Answer:
1). x = 10 m
2). x = 15 cm
3). x = 5 yd
4). AB = 10 units
Step-by-step explanation:
1). By Pythagoras theorem in the given triangle,
a² + b² = c²
Where 'c' = Hypotenuse
a and b = Legs of the right triangle
By substituting measures of the sides in the formula,
x² = 8² + 6²
x = [tex]\sqrt{100}[/tex]
x = 10 m
2). By using Pythagoras theorem in this triangle,
x² = 9² + (12)²
x² = 81 + 144
x = [tex]\sqrt{225}[/tex]
x = 15 cm
3). By Pythagoras theorem,
(13)² = x² + (12)²
169 = x² + 144
169 - 144 = x²
25 = x²
x = 5 yd
4). If BD is a perpendicular bisector of AC,
AD = CD = 6 cm
By Pythagoras theorem in ΔABD,
AB² = BD² + AD²
AB² = 8² + 6²
AB = [tex]\sqrt{100}[/tex]
AB = 10 units
Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a $ 7.50 delivery fee and $ 14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under $ 60. Each pizza is cut into 8 slices, and she wonders how many total slices she can afford. Let P PP represent the number of pizzas that Jacque buys. 1) Which inequality describes this scenario? Choose 1 answer: (Choice A,) 7.50 + 14 P < 60 (Choice B) 7.50 + 14 P > 60 (Choice C) 14 + 7.50 P < 60 (Choice D) 14 + 7.50 P > 60 2) What is the largest number of slices that Jacque can afford?
Answers
Answer: Choice A
Step-by-step explanation:
She can only buy 3 pizzas. 14 times 3 is 42. 42 plus 7.50 is 49.50. Another 14 dollars would be over. So 24 SLICES she can afford.
Here, we are required to identify the inequality that describes Jacque's pizza purchase scenario and also the largest number of slices that Jacque can afford
Choice 1 which is ;
Choice 1 which is ;7.50 + 14 P < 60Choice 1 which is ;7.50 + 14 P < 60Jacque can afford to buy 30slices of pizza
First,
Since the restaurant charges a fixed $ 7.50 for delivery and charges $ 14 per pizza.and she also needs to keep the delivery fee plus the cost of the pizzas under $ 60The inequality which describes the scenario is :
Choice 1 which is ;
7.50 + 14 P < 60And to determine the largest number of slices that Jacque can afford, we have to solve for P first.
Therefore, 14P < 60 - 7.50P = 52.50/14P = 3.75Therefore, Jacque can only buy 3.75 pizzasHowever, the question requires that we determine how many slices she can afford to buy,
Since each pizza is cut into 8 slicesJacque can afford to buy 3.75 × 8 slices of pizza.
Jacque can afford to buy 30slices of pizza
Read more:
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helppppppp (08.06 MC)Consider the following dot plot. Of the following statements, which two characteristics of this dot plot make the median a better choice than the mean to summarize the center of the distribution?
Answers
Answer:
the data are skewed, D.
Step-by-step explanation:
hellp i am bad at math
Answers
Answer:
16
Step-by-step explanation:
its a cube, so all the sides are 16.
hope you pass surface area it has ALOT of formulas ( :
Answer:
15
Step-by-step explanation:
the yellow side without the small one is 16 but since the face of the small one is 1 we must subtract it
Charley sold 12 fruit baskets fir the school fund raiser. Maria sold 15 and Paul sold 18. If each fruit basket cost $18, how much money did they raise altogether
Answers
Answer:
$810 total raised
Step-by-step explanation:
Charley:
12 * $18 = $216
Maria:
15 * $18 = $270
Paul:
18 * $18 = $324
Total:
$324 + $270 + $216 = $810
Answer:
pls appreciate my efforts by markinf my answer as the brainliest......
Step-by-step explanation:
Charley raised = 12 *18 =$216
Maria raised =15*18 = $270
Paul raised = 18*18 = $ 324
total amount raised = $ 810
Jared and Zach are practicing their free throws. Jared attempted x shots and made 75% of them. Zach attempted 10 more shots than Jared did and made 80% of them. Together, they made a total of 101 shots. Which equation represents this situation? How many balls did Jared and Zach throw.
Answers
Answer:
D. 0.75x + 0.8(x + 10) = 101
Step-by-step explanation:
Answer:
0.75x + 0.8(x + 10) = 101
Step-by-step explanation:
They both made 101 shots.
Jared attempted 60 shots.
Zach attempted 70 shots.
Solve 7x = 49 for x. Thank you however answer’s this
Answers
Answer:
x=7
Step-by-step explanation:
To solve for x, we need to isolate it by itself. We can do that by getting rid of the 7. Since the 7 is being multiplied with the x, we need to divide by 7 to cancel it out. When doing something to one side of the equation, we must always to the same to the other.
Divide both sides by 7
x=7
Answer:
x = 7
Step-by-step explanation:
All you have to do to solve this question is divide 7 on both sides so,
7x / 7 = 49 / 7
7x / 7 = 1 or x
49 / 7 = 7
So your answer will be,
x = 7
Hope this helps!!
Can someone help me with these? I’m having confusion with these problems. If you can help, can you possibly show me on a paper on how to do this?
Answers
Answer:
see attachment
Step-by-step explanation:
To work these, you need a pencil (with a fairly sharp point) and a compass or pair of dividers (a compass-like tool with two points, instead of a point and a pencil).
In the attached, the blue segment represents the compass set to the length of segment 'a'. The red segment represents the compass set to the length of segment 'b', and the green segment represents the compass set to the length of segment 'c'.
When the segments are shown end-to-end, it means you mark off that length on the line, then mark off the next length starting at the end of the first one. When the segments are shown overlapping, it means you mark one of the segments in the reverse direction (you subtract its length).
You may find it helpful to use your pencil to mark a starting point on the target line. If you use a compass, a small arc across the target line at the end of the segment length can help you locate the start of the next segment length.
__
(1) The length of segment 'b' is added to the length of segment 'a'. This is not different in concept from adding numbers on a number line.
(2) The length of segment 'b' is made to overlap the end of segment 'a', so that the end points of the two segments are the same point. This subtracts the length of 'b' from that of 'a', so the length 'a-b' is the length from the left end of 'a' to the left end of 'b' in the configuration shown.
(3) You get the length '2b' by appending the length of 'b' to itself.
(4) All three lengths are appended to each other here.
(5) As before, you get 2b by appending 'b' to itself. You subtract 'c' by backtracking over the previous length, as in part (2).
__
You will get best results if you use this (attachment) as a guide. The line segments drawn are only eyeball approximations of the segments on your page, and their placement end-to-end is not as precise as you can make it with your compass.
Match each set of ordered pairs on the left with the correct description of the relation
given by the set on the right. The descriptions on the right will be used more than
once.
{(13,6), ( – 8,3), (21, – 4), ( – 6,0), (9, – 4)}
function
{(– 32,0), ( – 16,8), (4, 56), ( - 16, – 8), (8, – 72)}
not a
function
{(500, 312), (325, 129), (103, 202), (304, 418), (325, 911)}
{( - 43, – 75), (61, – 75), (- 35, – 75), (82, - 75), (28, – 75)}
Answers
Answer:
{(13,6), ( – 8,3), (21, – 4), ( – 6,0), (9, – 4)} function
{(– 32,0), ( – 16,8), (4, 56), ( - 16, – 8), (8, – 72)} not a function
{(500, 312), (325, 129), (103, 202), (304, 418), (325, 911)} not a function
{( - 43, – 75), (61, – 75), (- 35, – 75), (82, - 75), (28, – 75)} function (but flat-lined !)
Step-by-step explanation: To be a function, each x-value must have a unique y-value
In the set {(– 32,0), ( – 16,8), (4, 56), ( - 16, – 8), (8, – 72)} —16 has both 8 and –72 as y values so it is not a function
In the set {(500, 312), (325, 129), (103, 202), (304, 418), (325, 911)} 325 has both 129 and 911 so it is not a function.
It is ok for y-values to be repeated, but only for different x-values
100,000 people are currently sick with disease. If that disease spreads at rate of 50% per week, how many weeks will it be until 1,000,000 people are infected?
Answers
Answer:
If you mean it speads at the amount of 100,000 it would be only 10 weeks before 1,000,000 people are effected
or If you mean 50% percent of 100,000 which is 50,000 it would take a total of 20 weeks before 1,000,000 people are infected
Hope this answered your question.
Write an expression of 4 less than twice a number
Answers
Answer:
2x-4
Step-by-step explanation:
you can't really explain this, is just have the meaning 4 less twice a number.
I wish this is the correct one and will help you!
Answer:
2x-4
Step-by-step explanation:
If A = 8! and B = 8P8, then which one of the following is true: A > B not enough information A < B A = B
Answers
Answer:
A = B
Step-by-step explanation:
A = 8! = 8*7*6*5*4*3*2*1 = 40320
B = 8P8 = 8! / ( 8-8)! = 8! = 0! = 8! /1 = 8! = 40320
A = B
Which method correctly solves the equation using the multiplication property of equality and the reciprocal of One-third?
Answers
Answer: -third
Step-by-step explanation:
Identify the sequence as arithmetic or geometric. 14, 11, 8, 5,
Answers
Answer:
sequence is arithmetic
Step-by-step explanation:
A geometric sequence has a common ratio r between consecutive terms.
An arithmetic sequence has a common difference d between consecutive terms, thus
11 ÷ 14 ≠ 8 ÷ 11 ≠ 5 ≠ 8 ← not geometric
11 - 14 = - 3
8 - 11 = - 3
5 - 8 = - 3
There is a common difference d between consecutive terms
Thus sequence is arithmetic.
Answer:
Step-by-step explanation:
This is an arithmetic sequence.
First term = a = 14
Second term = 11
Common difference = second term - first term
= 11 - 14
= - 4
Each term is got by adding (-4) to the previous term
Third term = 11 + (-4) = 11 -4 = 8
Lin solved the equation 8 (x - 3) +7= 2x (4 - 17) incorrectly.
Find the 2 errors in her solution.
What should her answer have been?
Answers
Answer:
Her final answer should have been x = 1/2.
Step-by-step explanation:
Her 2 errors were that she didn't distribute the 2x to both 4 and -17 and that she made the 13 positive instead of negative when she added 4 and -17 together.
Correct solution:
8(x-3)+7=2x(4-17)
8x-24+7=8x-34x
-17=-34x
The negatives on both sides cancel each other out
x = 1/2
Answer:
x=1/2
Step-by-step explanation:
8(x-3)+7=2x(4-17)
8(x-3)+7=2x(-13)
This is where Lin's first mistake appears, 4-17 is -13, not positive 13.
Next, Lin distributes.
8x-24+7=26x
This is right with Lin's equation, since Lin got 13 instead of -13.
However, if we were doing it correctly from the start, it should be:
8x-24+7=-26x
Okay, after 8x-24+7=26x Lin simplifies again to:
8x-17=26x
She then tries to eliminate 8x.
What she does wrong here, is that she subtracts 8x from the left, and adds 8x to the right.
This makes it so that the equation is not equal anymore, because what you do to one side, you must do to the other.
This is Lin's second mistake.
What she should have gotten is
-17=18x.
Okay, now that we have found her mistakes, let's solve this correctly.
8(x-3)+7=2x(4-17)
8(x-3)+7=2x(-13)
Distribute.
8x-24+7=-26x
8x-17=-26x
Add 17 to both sides.
8x=-26x+17
Add 26x to both sides.
34x=17
x=1/2
Her answer should have been 1/2.