Explain if this student has made a mistake. Explain what the mistake was and how you would fix it. include the right answer
Answers
Answer:
Mistake => [tex] \frac{8x}{4} = \frac{4}{4} [/tex]
How it can be fixed => [tex] \frac{8x}{8} = \frac{4}{8} [/tex]
[tex] x = \frac{1}{2} [/tex] (correct answer)
Step-by-step explanation:
The student solved the problem correctly up to the second step where 6 was added to both sides of the equation.
The mistake he made was in his division.
Thus, instead of dividing both sides by 8, he divided both sides by 4, which is incorrect.
Mistake => [tex] \frac{8x}{4} = \frac{4}{4} [/tex]
How it can be fixed => [tex] \frac{8x}{8} = \frac{4}{8} [/tex]
[tex] x = \frac{1}{2} [/tex] (correct answer)
Answer:
SEE IMAGE FOR SOLUTION
Hope it helps
Have a great day
Related Questions
Plot the remaining data point. 1
2
, 1 , 1
1
4
, 1
1
4
, 1
3
4
, 3 , 3
3
Answers
The information you gave was presented as a table with three columns: value, x-coordinate, and y-coordinate.
You would need to make a graph with the x-coordinate acting as the horizontal axis and the y-coordinate acting as the vertical axis in order to plot this data point. The size or colour of the data point would serve as a representation of the value.
Here is an illustration of a data point plot:
[tex]x | 12 | 14 | 14 | 34 \\ y | 1 | 1 | 3 | 3 \\ v | 1 | 1 | 3 | 3[/tex]
The value at the position (12,1) will be 1, the value at the point (14,1) will be 1, the value at the point (14,3) will be 3, and the value at the point (34,3) will be 3. It's vital to remember that the values on the graph can be depicted by many colours or shapes.
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If the value of the discriminant is 10, then a quadratic equation has...
Answers
Answer:
two distinct solutions
Step-by-step explanation:
i'll give u a kith pls help
Answers
ANSWER:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:
(−2,−16)
Equation Form:
x= −2, y= −16
Answer:
21 and 13
Step-by-step explanation:
What is the smallest number with the factors 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24
Answers
The smallest number with the factors 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, and 24 is 232792560.
With the elements 1, 2, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, what is the smallest number?The smallest number that has all of the factors 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24 is 27720. This number is a product of the prime factors 2, 3, 5, 7, 11, 13, 17, 19. All of the factors can be written as a product of these prime factors, and multiplying them all together gives 27720. This is the smallest number that can be created with all of the given factors.The smallest number with the given factors is 2520. This number is the product of all the prime numbers from 1 to 10 (2 x 3 x 5 x 7 x 11 x 13 x 17 x 19 = 2520). It is also the smallest number that can be divided evenly by all the numbers from 1 to 10. This number can also be evenly divided by 11, 12, 13, 14, 15, 16, 17, 18, 19 and 20, so it is the smallest number with the factors 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, and 24.The smallest number with the factors 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24 is 2520. It is the smallest number that is evenly divisible by all of these numbers. To find it, the prime factorization of each of the numbers must be used. The prime factorization of each number is the product of the prime factors raised to the highest power.To learn more about the smallest number with the factors refer to:
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Simplify using only positive exponents:
(2h^7v^-3)/(5h^-4v^5)^-5
Answers
Therefore the expression simplified using only positive exponents is 10h^4v^22.
Define positive exponents.An exponent's sign indicates how many times to multiply or divide a base number. A negative exponent indicates the opposite. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ. For example, 2⁻⁴ = 1 / (2⁴) = 1/16.
Define multiply and divide.A mathematical procedure called multiplication shows how many times a number has been added to itself. The multiplication symbol (x) or (*) are used to denote it. A mathematical process that shows how many equal amounts add up to a given number is called division.
To simplify the expression using only positive exponents, we need to make sure that all the exponents are positive.
We can simplify the expression:
(2h^7v^-3)/(5h^-4v^5)^-5
= (2h^7v^-3)/(1/(5h^-4v^5)^5)
= (2h^7v^-3) * (5h^4v^25)
= 10h^4v^22
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what are the leading coefficient and degree of the polynomial? 3u-5u^6+9u^3.
HELP!
Answers
Answer:
-5, 6
Step-by-step explanation:
Since 6 is the highest power, it is the degree, and so we also take the coefficient of that term.
Is 8 15 17 are Pythagorean triples?
Answers
No, 8, 15, 17 are not Pythagorean triples.
No, 8 15 17 are not Pythagorean triples. A Pythagorean triple is a set of three positive integers a, b, and c such that a2 + b2 = c2. In other words, the sum of the squares of two integers must equal the square of the third integer.
In the case of 8 15 17, if we calculate the sum of the squares of the two smaller integers, 8 and 15, we get
[tex]8^2 + 15^2 = 64 + 225 = 289[/tex].
This does not equal the square of the third integer,
[tex]17^2 = 289,[/tex]
so 8 15 17 are not Pythagorean triples.
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Think back to the pyramids in Egypt. For a Social Studies project, you created a scale figure of one pyramid. The dimensions are shown. How much paint will you need to paint the entire pyramid for your project?
Answers
The surface area of the pyramid is 568 square inches.
What is the surface area of a square pyramid?The surface area of the square pyramid is defined as the total area covered by the surfaces required to make the square pyramid. The area is the space occupied by the square pyramid in two-dimensional planes.
The formula to calculate surface area will be calculated by the formula below,
SA=B+12(P × l)
Here, B is the area of the base, P is the perimeter of the base, and l is the slant height.
SA = ( 8 x 8 ) + 12 ( 8 x 4 + 10 )
SA = 64 + 12 ( 32 + 10 )
SA = 64 + 12 x 42
SA = 568 square inches
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Rhombus ABCD has a diagonal BD¯¯¯¯¯.
m∠ADB=(6x−7)°
m∠CDB=(5x+5)°
What is the m∠ADC ?
Enter your answer in the box
Answers
Learning
Diagnostic
Analytics
See your levels
Miss Wu has 535 gold stickers. She wants to give the same number of stickers to each of her
8 students. If she gives away as many stickers as she can, how many stickers will be left
over?
stickers
Submit
rostimonials Contact us rooms of sorton erivacy polley
Please help quick
Answers
Answer:
13
Step-by-step explanation:
Solve for x in this triangle. Round your answer to the nearest tenth. 17 х° 6
Answers
Answer:
x ≈ 70.6°
Step-by-step explanation:
using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{17}{6}[/tex] , then
x = [tex]tan^{-1}[/tex] ( [tex]\frac{17}{6}[/tex] ) ≈ 70.6° ( to the nearest tenth )
Question is on the pic HELP!!!
Answers
Answer: D) -2x -8
Step-by-step explanation:
How to simplify the rational expression
Answers
Answer:
Factor the numerator and denominator and then divide out any common factors.
Step-by-step explanation:
Triangle ABC is shown below
Answers
Answer:180 degrees
Step-by-step explanation: add the angles
How do you tell if a system of equations has no solution or infinitely many?
Answers
If you solve the equation and get the same number as yourself, there are infinite solutions, and if you get the wrong equation, there is no solution.
Without graphing, how can you determine if a system of equations has one solution or an infinite number of solutions?You can see that both slopes are the same (-3). This shows that the lines are parallel without creating a graph. Therefore, the system of equations cannot be solved.
What distinguishes infinitely many solutions from zero? If the equation is wrong, the system has no solution. If the equation statement is true, there are infinitely many solutions.
A linear algebra problem is a linear system of n equations with n unknown variables. A system may have one solution, no solution, or an infinite number of solutions.
solution - all linear equations intersect or intersect at some point in space
No Solution - System is inconsistent and not all linear equations intersect or intersect.
Infinitely many solutions - some linear equations are the same line in space, some variables are unbounded.
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20, 70, 110, 140, 160, ___ what’s the next sequence?
Answers
Answer:
D (i hope)
Step-by-step explanation:
When you minus the highest to the lowest it is added by 10 so
160-140= 20
140-110=30
110-70= 40
70-20= 50
I had added 10 to 160 and got 170
Listen ducky:
160-140=20
140-110=30
110-70=40
70-20=50
20+30+40+50+10 (we need to add 10 on every part because of the question), so 10+10+10+20+30+40+50=170
The answer is D, my dear duck
Write (x−3)(x+2)^2 in standard form.
Answers
(x−3)(x+2)^2 in standard form is x^3+x^2-8x-12
and can you mark me as brainlist please
The curved surface area of a cylinder is one third of its total surface area and the height is 5
cm. Find the diameter.
Answers
Answer:
Diameter of cylinder = 12 cm
Step-by-step explanation:
Given:
Height of cylinder = 5 cm
Total surface area of cylinder = 3 x [Curved surface area of a cylinder]
Find:
Diameter of cylinder
Computation:
Total surface area of cylinder = 3 x [Curved surface area of a cylinder]
πr²h = 3[2πrh]
πr²h = 6πrh
Radius of cylinder = 6 cm
Diameter of cylinder = 2 x Radius of cylinder
Diameter of cylinder = 2 x 6
Diameter of cylinder = 12 cm
If Brian could have bought exactly 12 pairs with the amount of money that was spent on apples and oranges find the cost of each pair incense in terms of x
Answers
Therefore the cost of each pair of incense is 2.4 in terms of x.
Define the unitary method.The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
What are ratios and proportions?An ordered pair of integers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you might express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.
Let x be the cost of one pair of incense.
We know that the total amount spent on apples and oranges is the same as the total cost of 12 pairs of incense. Therefore:
(cost of apples + cost of oranges) = 12x
We also know that the cost of the apples is 3x the cost of the incense, and the cost of the oranges is 2x the cost of the incense. Therefore, we can substitute these values into the equation:
(3x + 2x) = 12x
5x = 12x
x = 12/5 or 2.4
So the cost of each pair of incense is 2.4 in terms of x.
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Can anyone me help PLEASE
Answers
Answer: (0, 1), (2,3), (x,x), (-5,x) (I put x's in for the missing numbers)
Step-by-step explanation: Hope this helps!!
Here is the graph:
What is the area of the triangle below (in square units)?
Answers
Answer:
It is 50 cm squared hxb/2=a
multiple choice please help emergency
Answers
Answer:
5000 N
Step-by-step explanation:
Given,
Mass ( m ) = 20 kg
Acceleration ( a ) = 250 m/s^2
To find : Force ( F ) = ?
Formula : -
F = ma
F
= 20 x 250
= 5000 N
Two sides of a triangle measure 23 inches and 41 inches. Which cannot be the length of the remaining side?
Answers
Answer:
Anything over 64 inches.
Step-by-step explanation:
The Triangle Inequality states that each side of a triangle must be shorter than the sum of the other two sides.
If you call the sides a, b, c, then a + b > c, a + c > b, b + c > a.
23 + 41 = 64, so the third side must be shorter than 64 inches.
solve for x round to the nearest tenth
Answers
Answer:
40
Step-by-step explanation:
help meeee i keep confusing myselffff
Answers
Answer:
Its D
Step-by-step explanation:
NEED HELP ASAP!!! GIVING BRAINLIEST
Answers
Answer:
Step-by-step explanation:
HELP PLEASE 10 POINTS!
pls explain
a. 160 is what percentage of 40?
b. 40 is 160% of what number?
c. What number is 40% of 160?
Answers
Answer:
a) 400% b) 1/4 c) 64
Step-by-step explanation:
Answer:
a. 400%
b. 25
c. 64
Step-by-step explanation:
a. 160 ÷ 40/100
160 × 100 / 40
4 × 100 = 400%
b. 40 ÷ 160%
40 ÷ 160/100
40 × 100/160 = 25
c. 40% × 160
40/100 × 160
4 × 16 = 64
A sequence of 3 transformations is applied to the L-shaped
figure to produce the image shown on the coordinate plane.
The 3 transformations, in no particular order, are:
A) translation 9 units to the left and 4 units down
B) reflection in the x-axis
C) rotation of 90 degrees counter-clockwise rotation about
the origin
What is the correct order in which to apply these
transformations in order to produce the given image?
Answers
Answer:
BCA
Step-by-step explanation:
Speedometer readings for a motorcycle at 12-second intervals are given in the table.
t (s) 0 12 24 36 48 60
v (ft/s) 30 28 25 21 25 27
(a) Estimate the distance traveled by the motorcycle during this time period using the velocities at the beginning of the time intervals.
ft
(b) Give another estimate using the velocities at the end of the time periods.
ft
(c) Are your estimates in parts (a) and (b) upper and lower estimates? Explain.
O (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t.
O (a) and (b) are neither lower nor upper estimates since v is neither an increasing nor decreasing function of t.
O (a) is a lower estimate and (b) is an upper estimate since v is an increasing function of t.
Answers
(a) The distance traveled by motorcycle is 1548 ft.
(b) The distance traveled by motorcycle is 1512 ft.
(c) (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t.
What is velocity?
The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.
Given table is:
t (s) 0 12 24 36 48 60
v (ft/s) 30 28 25 21 25 27
The distance traveled by motorcycle during this time period using the velocities at the beginning of the time intervals is:
12(30 + 28 + 25 + 21 + 25)
=12 × 129
= 1548 ft
The distance traveled by motorcycle during this time period using the velocities at the end of the time intervals is:
12(28 + 25 + 21 + 25 + 27)
=12 × 126
= 1512 ft
The distance traveled by motorcycle at the end of the time intervals is greater than the distance traveled by motorcycle at the beginning of the time intervals.
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An angle measures 120°less than the measure if its supplementary angle. What is the measure of each angle
Answers
Answer: 60°
Step-by-step explanation: 180 - 120 = 60.
Answer:
30 and 150
Step-by-step explanation:
The first angle is 30 degrees. The second angle is 150 degrees. Here's why:
Explanation:
The first angle will be expressed as x. Since the second angle is 120
degrees greater than the first, it will be expressed as (x+120). Because they're supplementary, they'll add up to
180: x+(x+120)=180
Combine like terms.
2x+120=180
Subtract 120 from both sides.
2x=60
Divide by 2 to isolate for x.
x=30
Plug your data back in:
30 + (30 + 120) = 180
First angle: 30 degrees
Second angle: 150 degrees