2/3x+6 = 8
subtract 6 from both sides
2/3x = 2
divide both sides by 2/3
x = 3
Answer:
x = 3
Step-by-step explanation:
Multiply both sides of the equation by 3
2x + 18 = 24
Move Constant to the right-hand side and change its sign
2x = 24 - 18
Subtract the numbers
2x = 6
Divide both sides of the equation by 2
x = 3
Solution
x = 3
5) The price of a gallon of gas was $4.00. The price went up by 10% and then went down by 10%. Antonio thinks that since the price both rises and falls by 10%, the price of a gallon of gas is back to $4.00. His teacher tells him that he is incorrect. Explain why Antonio's reasoning is incorrect. (1 point) Determine the price of a gallon of gas after the 10% rise and 10% fall. (1 point) Total of 2 points. *
Answer:
Antonio is wrong because 10% of 4.00 is .40 and if the price goes up then the price is $4.40 and since the price is going down by ten percent, ten percent if $4.40 is .44 and therefore the price is $3.96.
Which table has a constant of proportionality between y and x of 0.3
when you multiply the x number in the table c by 0.3 you get the same answer as the one in the y column. The constant of proportionality is the value that stays constant in the ratio. Since when you multiply each number in the x column by 0.3 and you always get the number in the y column it shows that the table c is correct.
What's the GCF of 32a, and 48b
Explain the phrase conservation of energy and provide an example.
Answer:
Conservation of energy, principle of physics according to which the energy of interacting bodies or particles in a closed system remains constant. ... For example, when a pendulum swings upward, kinetic energy is converted to potential energy.
Step-by-step explanation:
A. Choudhury’s bowling ball factory in Illinois makes bowling balls of adult size and weight only. The standard deviation in the weight of a bowling ball produced at the factory is known to be 0.12 pounds. Each day for 24 days, the average weight, in pounds, of nine of the bowling balls produced that day has been assessed as follows:
Day Average (LB) Day Average (LB)
1 16.3 13 16.3
2 15.9 14 15.9
3 15.8 15 16.3
4 15.5 16 16.2
5 16.3 17 16.1
6 16.2 18 15.9
7 16.0 19 16.2
8 16.1 20 15.9
9 15.9 21 15.9
10 16.2 22 16.0
11 15.9 23 15.5
12 15.9 24 15.8
Required:
a. Establish a control chart for monitoring the average weights of the bowling balls in which the upper and lower control limits are each two standard deviations from the mean. What are the values of the control limits?
b. If three standard deviations ate used in the chart, how do these values change? Why?
Answer and explanation:
Please find attached answer and explanation
(6-x3)5=45 Please help
Find the midpoint between the points (7, -2) and (-4, 2). Write your answer in the proper form using parentheses
Answer:
( 1.5, 0)
Step-by-step explanation:
1. Find the coordinates ; in this case (7,-2) and (-4, 2)
2. Plug it into the formula (x1 + x2 ÷ 2 ) , (y1 + y2 ÷ 2)
3. ( 7 + -4 ÷2) = 1.5 And ( -2 + 2 ÷ 2) = 0
4. Therefore, the midpoint is ( 1.5, 0 )
Given 36 − 9, simplify the expression using the Difference of Squares.
Wait, wait. I know what you are saying. 36 − 9 is not exactly a difficult math problem, it is 27. Yes you are correct; however, 36 − 9 is going to serve as a proof that the Difference of Squares is valid regardless of what x and y are.
36 − 9
62 − 32
This looks exactly like the Difference of Squares, x2 − y2. So substitute 6 and 3 in for x and y.
Answer:
See below
Step-by-step explanation:
Using formula
x^2 - y^2 = (x + y)(x - y)Applying to given expression
36 - 9 = 6^2 - 3^2=(6 + 3)(6 - 3)=9*3=27More on Linear Equations & Linear Systems: Question 1
How many solutions does the system of equations below
have?
y - 2x + 2
y-r-1
Select one:
none
infinitely many
O o o o
one
two
Answer:
21
Step-by-step explanation:
What are the angles x?
Answer:
TOP LEFT TRIANGLE: x=28°
BOTTOM LEFT TRIANGLE: x=90°
TRIANGLE ON THE RIGHT: x=34°
Step-by-step explanation:
TOP: the triangle on the right has 90 and 39. That makes the third one 51. It’s supplement is 129. 129+23=152. 180-152=28. X=28°
BOTTOM: 180-119=61. 61+29=90. 180-90=90. X=90°
RIGHT: right triangle has 90 and 70. 90+70=160. 180-160=20
180-70-41-15-20=34°
The Science Club went on a two-day field trip. The first day the members paid $50 for transportation plus
$10 per ticket to the planetarium. The second day they paid $90 for transportation plus $7 per ticket to
the geology museum. Write an expression to represent the total cost in dollars for two days for the
n members of the club.
An expression that represents the total cost in dollars for two days for the n members of the club is given
by
Answer:
(50+10n)+(90+7n)
The midpoint of xy is located at the origin
Answer:
Is there supposed to be an image?
Step-by-step explanation:
Look at this as a fraction and break it down.
Simplify as much as possible:
-70
-28
Answer:
espera y termino y te ayudo vale que me falta poco vale
I need help plz with this question
a: -20
b:-8
c:8
d:48
¿?
Answer:
the correct answer is -8
Step-by-step explanation:
to find this you are going to substitute 8 in for x in the equation
What is 471,284 rounded to the nearest
thousands
Answer:
471,000
Step-by-step explanation:
Which unit of measurement would be the most appropriate to measure a bottle of nail polish
Answer:
milliliter
Step-by-step explanation:
Most of nail polish have their measurement in ml
can someone please answer both
Answer:
2.16•x is up ur function
21. 6 feet in 10 minutes
Step-by-step explanation:
when u multiply by ten u move the decimal to the right one place
Answer:
this is what u need .........
Andrew drew a square with each side measuring 3 inches. Lindsay drew a triangle with each side measuring 4 inches. Which shape has a greater perimeter? Write an equation to help explain your answer.
Answer:
they have the same perimeter.
Step-by-step explanation:
3in × 4 = 12in
4 in × 3 = 12in
Differentiate. y = (x2 - 2x + 6) et O (2x - 2) ex (x2 + 4x + 4) ex O (x2 + 4) ex + 4x + 6
Answer:
y' = (x² + 4)eˣ
Step-by-step explanation:
Power rule: y' = f'(x)g(x) + f(x)g'(x)
[tex]\frac{d}{dx} [e^x]=e^x[/tex]
Step 1: Write equation
y = (x² - 2x + 6)eˣ
Step 2: Differentiate
Power rule: y' = eˣ(2x - 2) + eˣ(x² - 2x + 6)Factor out eˣ: y' = eˣ[2x - 2 + x² - 2x + 6]Combine like terms: y' = eˣ(x² + 4)Rewrite: y' = (x² + 4)eˣIn? gambling, the chances of winning are often written in terms of odds rather than probabilities. The odds of winning is the ratio of the number of successful outcomes to the number of unsuccessful outcomes. The odds of losing is the ratio of the number of unsuccessful outcomes to the number of successful outcomes. For? example, if the number of successful outcomes is 2 and the number of unsuccessful outcomes is? 3, the odds of winning are 2:3(Note; if the odds of winning are 2/3, the propability of sucess is2/5)
The odds of event occuring are 1:6. Find (a) the propability that the event will occur,(b) propability that the event will not occur.
(a)The propability that event will occur is....(TYPE AN INTEGER OR DECIMAL ROUNDED TO THE NEAREST THOUSANDTH AS NEEDED.)
(b)The propability thet the event will not occur is...(TYPE AN INTEGER OR DECIMAL ROUNDED TO THE NEAREST THOUSANDTH AS NEEDED)
Answer:
A) The probability that the event will occur[tex]=\frac{1}{7}[/tex]
B)The probability that the event will not occur = [tex]\frac{6}{7}[/tex]
Step-by-step explanation:
We are given that The odds of event occurring are 1:6.
So, Number of successful events = 1
Number of unsuccessful events = 6
So, Total events = 6+1=7
a)the probability that the event will occur=[tex]\frac{\text{Favorable event}}{\text{Total event}}[/tex]
The probability that the event will occur[tex]=\frac{1}{7}[/tex]
b)The probability that the event will not occur =[tex]\frac{\text{Favorable event}}{\text{Total event}}[/tex]
The probability that the event will not occur = [tex]\frac{6}{7}[/tex]
Can y’all help me in this please
Answer:
this may be wrong but i think its p
Step-by-step explanation:
There is triangle one of the angles is 101 degrees and the other is 38 workout x
Angle sum property = Sum of the three angles of a triangle will be equal to 180° .
Using this let us find out the measure of x .
Measure of first angle = 101°
Measure of second angle = 38°
Measure of third angle = x
[tex]101 + 38 + x = 180[/tex]
[tex]139 + x = 180[/tex]
[tex]x = 180 - 139[/tex]
[tex] = x = 41[/tex]
[tex]∴ \: the \: value \: of \: x \: = 41°[/tex]
On Monday, your bank account balance was −$12.90. Because you didn't realize this, you wrote a check for $30.39 for groceries.
Answer:
$17.49
Step-by-step explanation: You need to subtract $30.39 by $12.90
$30.39
-$12.90
First, its 9 - 0 which will = 9.
Then, 3 - 9. but you can do that so you have to make the 3 in 30, into a 2 then make the 0 in 30 a ten, then make that 10 into a 9, then make the 3 into 13.
So 13 - 9 = 4.
Now you have 9 - 2. Which will = 7.
Last, its 2 - 1 which will = 1.
so after all of that you get: $17.49
Answer:
Step-by-step explanation:
To find the balance, take the old balance and subtract the amount spent on groceries. next u have to minues -12.90 from 30.39 =17.49
eli worked on a part time job in summer for 6 days. he worked 4 hours on each of the 6 days. he was paid a total of 300 for his work. how much did he get paid for each hour he worked? writer your number as a mixed number in the simplest form.
Answer:
$12.50 per hour
Step-by-step explanation:
Need help ASAP with my math
Answer: The answer is -2
Step-by-step explanation: I want points and trust me this answer is correct
If x an y are natural numbers then x-y is a natural number what is the converse of this statement
9514 1404 393
Answer:
If x-y is a natural number, then x and y are natural numbers.
Step-by-step explanation:
The converse of ...
If P, then Q.
is ...
If Q, then P.
__
Here, we have ...
P = "x and y are natural numbers"
Q = "x-y is a natural number"
So, the converse is ...
If x-y is a natural number, then x and y are natural numbers.
_____
In this case, the converse is false.
What is the domain of the function in this table?
X | Y
1 | 2
2 | 4
3 | 3
4 | 2
CHIOCES:
A. (1, 2), (2, 4), (3, 3), 4,2)
B. {1,2,3,4}
C. (1,2)
D. {2,3,4}
PLEASE HELP URGENT
Answer: B. {1, 2, 3, 4}
Step-by-step explanation:
The domain is the set of input values (in other words, x values)
An element with mass 640 grams decays by 7.3% per minute. How much of the element is remaining after 8 minutes to the nearest 10th of a gram?
9514 1404 393
Answer:
349.0 grams
Step-by-step explanation:
The amount remaining can be modeled by an exponential function of the form ...
remaining = (initial amount)(1 - decay rate)^t
q(t) = 640(1 -0.073)^t
q(8) = 640(0.927^8) ≈ 349.0 . . . grams
The amount remaining after 8 minutes is about 349.0 grams.
Find the product of (18k+ 2m)(m + k)
Answer:
18k^2+2m^2+20km
Step-by-step explanation: