Kevin and Brittany write an equation to represent the following relationship, and both students solve their equation. Who found the correct equation and solution? Why is the other person incorrect?
6 times the difference of a number and 20 is the same as half the sum of 8 more than 8 times a number.
Kevin: 6(x − 20) =
1
2
(8x + 8) 6x − 120 = 4x + 4 6x − 120 − 4x = 4x + 4 − 4x 2x − 120 = 4 2x − 120 + 120 = 4 + 120 2x = 124
2x
2
=
124
2
x = 62 Brittany: 6(20 − x) =
1
2
(8x + 8) 120 − 6x = 4x + 4 120 − 6x − 4x = 4x + 4 − 4x 120 − 2x = 4 120 − 2x − 120 = 4 − 120 −2x = −116
−2x
−2
=
−116
−2
x = 58
The incorrect solution expressed the
difference of a number and 20 incorrectly
.
Kevin's
expression
20 − x
was correct.
Answers
Answer:hey h0éso
Step-by-step explanation:YOUR WELCOME lmk if it works
Related Questions
What is the answer to 8)555 with the remainder and this is division.
Answers
Answer:
69 <-- quotient
---
Step-by-step explanation:
8)555
48
--
75
72
--
3 <-- remainder
Please help I'm having trouble with 2,3,4
Answers
Answer:
Your correct
Step-by-step explanation: x(-x) = -x
-5x-2x-1=-10
and the last one right too
Answer:
you were correct on 2/3
2. Negative
3. Negative
4. Negative
Step-by-step explanation:
...
Which is the mode in this data set 55,78,43,39,78,61,75,50,43,78
Answers
Answer:
the mode is 78 out of all the numbers
6. Solve the equation and state a reason for each step. 3x +4 = 13
Answers
Answer:
x=3
Step-by-step explanation:
3x+4=13
-4=-4
3x=9
÷3=÷3
x=3
in this situation 3x+4=13
so you put 3 where x is and it would look like: 3(3)+4=13
3(3)=9
which makes 9+4= 13
What is the solution to the division problem below? (You can use long division
or synthetic division.)
x - x2 - 11x +3
x + 3
O A. x2 - 5x+1
O B. x2 - 6x + 1
O c. x2 - 4x + 1
O D. x2 - 7x+1
Answers
Answer:
C. x² -4x +1
Step-by-step explanation:
The synthetic division is shown below. The quotient corresponds to answer choice C.
true or false? in a two column proof, the left cloumn contains a series of deductions
Answers
Answer:
True
Step-by-step explanation:
The left column is for deductions
The right column is for reasons
Find the midpoint of the segment with the given endpoints.
(-10,10) and (-9,6)
Answers
Answer:
The answer is
[tex]( - \frac{19}{2} \: , \: 2)[/tex]Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(-10,10) and (-9,6)
The midpoint is
[tex]M = ( \frac{ - 10 - 9}{2} , \: \frac{10 - 6}{2} ) \\ = ( - \frac{19}{2} \: , \: \frac{4}{2} )[/tex]We have the final answer as
[tex]( - \frac{19}{2} \: , \: 2)[/tex]Hope this helps you
2x – 3y = 18
Solve for y.
Answers
Answer:
y= -6+2/3x
Step-by-step explanation:
2x-3y=18
Minus the 2x from both sides
-3y=18-2x
Then divide both sides by -1
-3y÷-1=18÷-1 -2x÷-1
Lastly divide both sides by 3
3y÷3= -18÷3+2x÷3
The equation 2x - 3y = 18 can be written as y = (2/3)x - 6 after arranging the terms and making subject y.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
The equation is:
2x – 3y = 18
2x - 3y = 18
-3y = 18 - 2x
y = (2/3)x - 6
Thus, the equation 2x - 3y = 18 can be written as y = (2/3)x - 6 after arranging the terms and making the subject y.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
Ummmmmm Helppppppp Needeeeeeed
Answers
Answer:
I dont really know, but you dont have to listen but i think its D! its D!
Answer:
d: [tex]20(n-1)[/tex]
Step-by-step explanation:
[tex]2\left(n-7\right)-3\left(2-6n\right)[/tex]
Expand:
[tex]2n-2*7-3*2-(-3)*6n[/tex]
[tex]2n-14-6+18n[/tex]
[tex]2n+18n-14-6[/tex]
[tex]20n-20[/tex]
Factorise:
[tex]20(n-1)[/tex]
How many solutions does the equation 3x + 15 = 2x + 10 + x + 5 have?
Answers
Answer:
18=18
Step-by-step explanation:
it dosent give x so just put them all together without x and its equal so(=)
NEED HELP!!! WILL MARK BRAINLIEST!!!
Answers
Answer:
1: 6
Step-by-step explanation:
Cross multiple 9 and 6
Cross multiple 8 and k, 8 and 6
8k + 6 = 54
-6 -6
8k= 48
divide by 8 on both sides
k = 6
PLEASE HELP Mary organized her work below for solving the equation 3m-6=24.
Examine her work and answer the following questions.
In what step (or steps) did Mary make a mistake?
What did she do wrong and how should she fix it?
What should her answer be if she solved the problem correctly?
Be sure to answer in complete sentences.
Answers
Answer:
Mary messed up on the second step. She should have also added 6 to the 24. If she had solved the equation the correct way her answer would have been m=10
Step-by-step explanation:
3m-6=24
Add 6 on both sides
3m=30
Divide by 3 on both sides
m=10
Find the midpoint of the line segment joining the points R(-5,5) and S(4.6).
Answers
Hey there! I'm happy to help!
To find the x value of the midpoint, you add the x values and divide by 2.
-5+4=-1
-1/2=-1/2
For the y value, you add the y values and divide by 2.
5+6=11
11/2=5 1/2
So, the midpoint is (-1/2, 5 1/2).
Have a wonderful day! :D
Write scientific notation 1081
Answers
Answer:
1.08 x 10³
Step-by-step explanation:
Calculating scientific notation for a positive integer is simple, as it always follows this notation: a x 10b.
Follow the steps below to see how 1,080 is written in scientific notation.
Step 1
To find a, take the number and move a decimal place to the right one position.
Original Number: 1,080
New Number: 1.080
Step 2
Now, to find b, count how many places to the right of the decimal.
New Number: 1 . 0 8 0
Decimal Count: 1 2 3
There are 3 places to the right of the decimal place.
Step 3
Building upon what we know above, we can now reconstruct the number into scientific notation.
Remember, the notation is: a x 10b
a = 1.08 (Please notice any zeroes on the end have been removed)
b = 3
Now the whole thing:
1.08 x 10³
Step 4
Check your work:
10³ = 1,000 x 1.08 = 1,080
Hope this helped
How do the measures of the angles of compare with those of when coincides with the other three triangles? What can you say about the preservation of the angle measurements of a shape during a rotation?
Answers
Answer:
The measure of each angle of angle ABC is equal to the corresponding angle of angle A' B' C' when angle A' B' C' coincides with the other three triangles. The measures of the angles of the triangle are preserved as the figure rotates.
Step-by-step explanation:
Answer:
The measure of each angle of angle ABC is equal to the corresponding angle of angle A' B' C' when angle A' B' C' coincides with the other three triangles. The measures of the angles of the triangle are preserved as the figure rotates.
Step-by-step explanation:
simplify the expression.
7yz / -2z
Answers
Hope this helped!!
I will give brainliest please help!! Solve the top problem
Answers
Answer:
f(4) = 5
Step-by-step explanation:
f(4) means x=4
Using the function 4 >0 so using the lowest part
x+1 when x>0
4+1
5
f(4) = 5
Answer:
20. f(4) = 5
21. f(-6) = -6
22. f(0) = 0
23. f(-5) = -5
Step-by-step explanation:
The function is defined differently depending on the interval that x is in.
If x < -6, then f(x) = -2x^2 - 1. Definition A.
If -6 <= x <= 0, then f(x) = x. Definition B.
If x > 0, then f(x) = x + 1. Definition C.
For each value of the function you are asked to find in questions 20 through 23, the first thing to do is to see in which interval x is. Then you decide which function definition to use.
20. f(4)
4 is in the interval of Definition C.
f(x) = x + 1
f(4) = 4 + 1
f(4) = 5
21. f(-6)
-6 is in the interval of definition B.
f(x) = x
f(-6) = -6
22. f(0)
0 is in the interval of definition B.
f(x) = x
f(0) = 0
23. f(-5)
-5 is in the interval of definition B.
f(x) = x
f(-5) = -5
Describe how to solve 2x + 36-4x -10 ) = 10 to a middle schooler. Show all the steps and tell
us how you can check if it is correct.
Answers
Answer:
First you would have to combine the numbers that are the same, so combine all the X's and the other numbers, with out a variable (without an X). The numbers with X are 2x and -4x, so you add them, you should have 2x (2+ (-4)= 2) your equation should look like this : 2x + 36 - 10= 10
Next you need to combine the other numbers, 36 and -10, add them, and you should get 26. Your problem should look like this 2x+26=10
Next you will need to subtract 26 from each side, what you do to one side of the equal sign you must do to the other. Your problem should look like this : 2x=-16
To find X you have to get X alone, so you have to divide how many x's there are, 2, so divide both sides by 2 (rembering that what you do to one side you must do to the other). So you should have x= -8
Step-by-step explanation:
-2 = K+7/3 find for k
Answers
Answer:
k = -13/3
Step-by-step explanation:
Step 1: Flip the equation.
k + 7/3 = -2
Step 2: Subtract 7/3 from both sides.
k+ 7/3-7/3 = -2 - 7/3
k= -13/3
Hope this helps!
the area if the classroom is 144 square feet. if the room is a square, what is the length of each side?
Answers
Answer:
The length of each side is 12 feet because 12 multiplied by 12 is 144
hope it helps
What is the slope of the line described by the equation below?
4x-y=3
A. 1/4
B. -1/4
C. -4
D. 4
Answers
Answer: 4
Step-by-step explanation: First convert the equation to y = mx + b form.
Start by subtract 4x from both sides to get -y = -4x + 3.
From here, divide both sides by -1 to get y = 4x - 3.
Now in y = mx + b form, the slope is the multiplier, or the m.
So here, 4 is the slope.
Answer:
(D) 4
Step-by-step explanation:
In order to find the slope you need to rearrange the equation so that y is alone on one side, so:
4x - y = 3
-y = -4x + 3
y = 4x - 3
The slope is the coefficient in front of x, so the slope is 4
Which of the following are polynomials?
A- a^0
B- 0
C- a^0 + 17
Answers
Which set of ordered pairs represents a function?
{(-8,4),(-5,7),(-8, -1),(-4,8)}
{(-5, -5), (7,2), (-7, -3), (-7,0)}
{(-6,2).(-5,6),(-3,7).(-9, 2)}
{(-7,8), (-7,2), (7,6),(4,2)}
Answers
Solve Ix - 11 > 4
A.{xlx <-5 or x> 5}
B. {xlx <-3 or x>5}
C.{xl-3
Answers
Answer:
A.
Step-by-step explanation:
-. Jane bikes at a rate of 12 miles per hour. Write an expression for the amount
she bikes in h hours.
Answers
Answer:
12h
Step-by-step explanation:
Since we know that Jane rides her bike at the rate of 12 miles per hour,
12h
The faucet drips 6 ¾ gallons of water in 4 hours
what is the unit rate?
Answers
Answer:
1.6875 gallons per hour
Step-by-step explanation:
Simplify 3-8n+5n+8 explain
Answers
3-8n+5n+8e
Add -8n+5n
That equals to-3n
You get 3-3n+8e since there is no way more to simplify
Given 4x(5x+6)=-5 what value of x makes this equation true?
Answers
Answer:
x = 8.8
Step-by-step explanation:
4x(5x+6)=-5
20x + 24x = -5
44x = -5
44 divided by 5 equal 8.8
x = 8.8
pls mark brainlest ;)
Hope this helps you :)
Please help! Urgent! I am giving brainlist.
Answers
MT&A uses the function f(x)=475-15x-15x.to depreciate smart phones. where f represents the value of smart phone and x represents the number of months since its purchase. a) find f^-1 and explain what it represents in this situacions When will the deprecated value of smart phone be less than $100.00? what does x represent in f^-1(x) =30? What is the value of x? Graph f(x) and f^-1 (x) on the same coordinate
Answers
Answer:
Find the answers in the explanation
Step-by-step explanation:
The given function is
f(x)=475-15x
A.) To find f^-1 and explain what it represents in this situacions, let f(x) = y. That is,
Y = 475 - 15x
Interchange y and x and make y the subject of formula
X = 475 - 15y
-15y = x - 475
Y = 475/15 - x/15
Y = (475 - x) / 15
Therefore,
f^-1(x) = (475 - x) / 15
If the function depreciates the smartphone, then, the inverse function will appreciate it.
When will the deprecated value of smart phone be less than $100.00
Substitute 100 for f(x) and find x
100 = 475 - 15x
-15x = 100 - 475
-15x = - 375
X = 375/15
X = 25
Therefore, the deprecated value of smart phone be less than $100.00 in the next 26 months.
what does x represent in f^-1(x) =30?
X represent the number of months for the smartphone appreciations
What is the value of x?
Substitute the inverse function for 30 and make x the subject of formula in the equation
f^-1(x) = (475 - x) / 15
30 = (475 - x) / 15
Cross multiply
450 = 475 - x
X = 475 - 450
X = 25 months
Graph f(x) and f^-1 (x) on the same coordinate
