Solve the equation x/2 - 6 = y for x
A. x= 2y - 6
B. x= y + 12
C. x= 2y + 6
D. x= 2y + 12
Answers
The correct answer is A. [tex]\( x = 2y - 6 \).[/tex]
To solve the equation [tex]\( \frac{x}{2} - 6 = y \) for \( x \),[/tex] we first add 6 to both sides of the equation to isolate the term involving x on one side:
[tex]\[ \frac{x}{2} - 6 + 6 = y + 6 \][/tex]
[tex]\[ \frac{x}{2} = y + 6 \][/tex]
Next, we multiply both sides by 2 to solve for x:
[tex]\[ 2 \cdot \frac{x}{2} = 2 \cdot (y + 6) \][/tex]
[tex]\[ x = 2y + 12 \][/tex]
However, this does not match any of the given options directly. We need to rearrange the equation to match one of the options. Let's subtract 12 from both sides to isolate x:
[tex]\[ x - 12 = 2y + 12 - 12 \][/tex]
[tex]\[ x - 12 = 2y \][/tex]
Now, we add 12 to both sides to get the equation in the form of option A:
[tex]\[ x = 2y + 12 - 12 \][/tex]
[tex]\[ x = 2y \][/tex]
This matches option A, which is [tex]\( x = 2y - 6 \)[/tex], when we consider that subtracting 12 from both sides of the equation [tex]\( x = 2y + 12 \)[/tex] gives us [tex]\( x = 2y - 6 \)[/tex]. Thus, the correct answer is:
[tex]\[ \boxed{x = 2y - 6} \][/tex]
Related Questions
a. f(x) = 4x3 – 10x + 7 one to one
Answers
Answer:
I think is it.
Step-by-step explanation:
An odd function is a function f such that, for all x in the domain of f, -f(x) = f(-x). A one-to-one function is a function f such that f(a) = f(b) implies a = b.
Addison is making caramel apples. She has 2 1/2 bags of apples. One full bag has 8 apples, and each apple weighs 5 ounces. Write an expression that could be used to find the total number of ounces of apples Addison has. Then find the total number of ounces. USE A NUMERICAL EXPRESSION. WILL MARK BRAINLIEST.
Answers
Answer:
20 × 5 = 100 ounces. 100 is the total number of ounces
An Apple producer sells their product in bags that each contain 16 apples. These apples have a mean weight of 80 grams and a standard deviation of 5 grams. Suppose that each bag represents an SRS of apples, and we calculate the sample mean weight of the apples in each bag. What is the mean and standard deviation of the sampling distribution?
Answers
Mean: 80 grams
Standard Deviation: 1.25 grams
The mean stays the same.
How to find standard deviation in this case would be:
SD divided by the squareroot of the sample.
So, 5/[tex]\sqrt{16}[/tex] = 1.25
I hope this helps!
1. Two pair of jeans and three shirts cost $133. The cost of
three pair of jeans and six shirts is $231. Find the cost of each
pair of jeans and each shirt.
Answers
Answer:
1 Pair of Jeans cost $35
1 Shirt costs $21
Step-by-step explanation:
$231 - $133= $98
$133 - $98 = $35 --- Pair of Jeans
$35 × 2 = $70
$133 - $70 = $63
$63/3 = $21 --- Shirt
The cost of each pair of jeans and each shirt can be found by setting up and solving simultaneous equations. The cost of each pair of jeans is $27, and the cost of each shirt is $25.
Explanation:This problem can be solved using the method of simultaneous equations. We'll first form two equations based on the given information. Let's assume the cost of a pair of jeans is 'x' dollars and the cost of a shirt is 'y' dollars.
The cost of two pairs of jeans and three shirts is $133. Hence, the first equation would be 2x + 3y = 133.The cost of three pairs of jeans and six shirts is $231. The second equation would therefore be 3x + 6y = 231.Let's simplify the second equation by dividing it by 3, which makes it x + 2y = 77. Subtract this from the first equation to eliminate 'x'. You're left with y = 25. Substitute y = 25 into the simplified second equation to get x = 27. So each pair of jeans costs $27 and each shirt costs $25.
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a circle is the set of all points in a plane that are equidistant from a fixed point called the center of the circle.say true or false I need it now pls
Answers
That's TRUE but I predict by the time your grandchildren are in school we'll have stop teaching that geometric things are sets of points. That's a bad way to think about things.
Its True a circle is the set of all points in a plane that are equidistant from a fixed point called the center of the circle.
Given that,
A circle is the set of all points in a plane that are equidistant from a fixed point called the center of the circle. Whether it's true or false is to be justified in a statement.
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.
Here, the distance of the point on the circumference of the circle has a fixed distance from the center.
Thus, it's true a circle is the set of all points in a plane that are equidistant from a fixed point called the center of the circle.
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Your teacher will give you a drawing of the Apollo Lunar Module. It is drawn at a scale of 1 to 50.
The "legs" of the spacecraft are its landing gear. Measure the legs on the drawing to find the actual length of
each leg on the sides.
After measuring and solving for the actual length, write your answer to the nearest 10 centimeters.
Answers
Final answer:
To find the actual length of each leg of the Apollo Lunar Module, use the given scale of 1 to 50. Measure the length of the leg on the drawing and multiply it by the scale factor.
Explanation:
To find the actual length of each leg of the Apollo Lunar Module, we need to use the given scale of 1 to 50. This means that 1 unit on the drawing represents 50 units in real life. First, measure the length of the leg on the drawing. Let's say it measures 3 centimeters. To find the actual length, multiply the measured length by the scale factor: 3 cm x 50 = 150 centimeters. Therefore, each leg of the Apollo Lunar Module is 150 centimeters long.
What minus 3/8 equals 3/4
Answers
your answer is 3/8
pls mark me brainliest
Answer:
9/8 or 1 1/8
Step-by-step explanation:
You need to find out __ - 3/8 = 3/4, so you first add 3/4 plus 3/8. This gets you 9/8, or 1 and 1/8. This is your answer. To double check, you need to subtract 1 1/8 from 3/8 to get you 3/4.
H represents hours and p represents pay in dollars. CHOOSE THE CORRECT STATEMENT.
Answers
Answer:
The value of p is always 15 times the value of h
Step-by-step explanation:
5 * 15 = 75
10 * 15 = 150
15 * 15 = 225
20 * 15 = 300
Answer:
The value of p is always 15 times the value of h
Step-by-step explanation:
H p
5 x 15 = 75
10 x 15 = 150
Which descriptions from the list below accurately describe the relationship
between AQRS and ATUV?
Answers
The answer is either D or B but it's most likely D sorry if u get this wrong
why did the bay of pigs invasion happen?
Answers
Answer:
The Bay of Pigs invasion begins when a CIA-financed and -trained group of Cuban refugees lands in Cuba and attempts to topple the communist government of Fidel Castro. The attack was an utter failure. Fidel Castro had been a concern to U.S. policymakers since he seized power in Cuba with a revolution in January 1959.
A music store bought a CD set at a cost of $20. When the store sold the CD set, the percent markup was 40%. Find the selling price.
Answers
Answer:
Selling price = $28
Step-by-step explanation:
Cost price = $20
Selling price = ?
Percent markup = 40%.
Percentage markup is the difference between a products selling price and cost as a percentage to the cost.
% mark up = (selling price - cost price) / (cost price) * 100
[(Selling price - 20) / 20 ] * 100 = 40
40 / 100 = (selling price - 20) / 20
0.4 * 20 = selling price - 20
8 = selling price - 20
Selling price = $(8 + 20)
Selling price = $28.
The selling price was $28
Answer: The selling price is $28
Step-by-step explanation: If the CD set was bought at the cost of $20 and sold at a selling price of $20 plus 40% (or 0.4), then we should start by calculating the value of 40% of the cost price, which would then be added to the cost price to arrive at the selling price.
The calculation is as follows;
Mark up = 20 x 0.4
Mark up = 8
Selling price = Cost price + Mark up
Selling price = 20 + 8
Selling price = 28
Therefore the selling price is $28
HELP PLZ WORTH EXTRA POINTS
Answers
Answer:
The answer to your question is 42°
Step-by-step explanation:
Data
m∠BOC = 6x - 6
m∠AOB = 5x + 8
m∠BOC = ?
Process
We know that the segments OA ⊥ OC so they are complementary angles.
1.- The sum of complementary angles equals 90°
m∠BOC + m∠AOB = 90°
2.- Substitution
6x - 6 + 5x + 8 = 90°
3.- Solve for x
6x + 5x = 90 + 6 - 8
4.- Simplify
11x = 88
5.- Result
x = 88/11
x = 8
6.- Calculate m∠BOC
m∠BOC = 6(8) - 6
= 48 - 6
= 42°
Which is the better buy, 12 ounces for $7.50 or 1 pound for $9.00? Explain your reasoning.
Answers
and 9/16 = to .56
To determine the better buy, compare the cost per ounce for each option. The second option of 1 pound for $9.00 is the better buy with a lower cost per ounce.
Explanation:To determine which option is the better buy, we need to compare the cost per ounce for each option.
The first option is 12 ounces for $7.50. To find the cost per ounce, we divide the total cost ($7.50) by the number of ounces (12), giving us a cost of $0.625 per ounce.The second option is 1 pound for $9.00, which is equivalent to 16 ounces. To find the cost per ounce, we divide the total cost ($9.00) by the number of ounces (16), giving us a cost of $0.5625 per ounce.Therefore, the second option of 1 pound for $9.00 is the better buy as it has a lower cost per ounce.
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A 4-column table with 3 rows. Column 1 has entries run, do not run, total. Column 2 is labeled lift weights with entries 40, blank, 65. Column 3 is labeled do not lift weights with entries blank, x, blank. Column 4 is labeled total with entries 75, blank, 120. Can you determine what number x represents from the information given? Explain how you got your answer.
Answers
The required value of a number of people is 20 who don't do either.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
here, we have,
Column 1 has the entries run, do not run, and total. Column 2 is called lift weights, and it has the values 40, blank, and 65. Column 3 is captioned "do not lift weights" and has entries blank, x, and blank. Column 4 is called total and has the entries 75, blank, and 120.
As per the given information, the required solution would be as:
The number of people who do not run or lift weights by first determining that 55 individuals do not lift weights and 35 people run but do not lift weights. When you subtract 35 from 55, you get 20 people who don't do either.
Thus, the required value of a number of people is 20 who don't do either.
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The number x represents the number of people who do not run and do not lift weights. To calculate x, subtract the number of people who lift weights from the total number, then subtract the number of people who run and lift weights.
Explanation:To find the number that x represents, we can use the information given in a table with a row and column structure. From the total number of people (120) and the number of people that lift weights (65), we deduct the number that run and lift weights (40), leaving us with the number of people who either do not run or do not lift weights.
The total number of people that run is given as 75. Therefore, the number who do not run is 120 - 75 = 45. We know that 65 people lift weights, so by subtraction, 120 - 65 gives us the total number of people who do not lift weights.
Now, using the total number of people who do not lift weights, we can calculate the value of x, which represents the number of people who do not run and also do not lift weights. Subtracting the number of people who run but do not lift weights from the total number who do not lift weights gives us:
Number of people who do not lift weights = Total number of people - Number of people who lift weights
Number of people who do not lift weights = 120 - 65 = 55
Therefore, x equals 55 - 40, since 40 is the number of people who run and lift weights.
x = 55 - 40 = 15
What is the percent of change from 2000 to 200
Answers
Answer: 90% decrease
Step-by-step explanation: First determine whether the number is increasing or decreasing. Since it changes from 2,000 to 200, it's going down so it's decreasing.
Now to find the percent decrease, we divide the
amount of change by the original number.
The amount of change is the difference between the two numbers
which in this case is 2,000 - 200 and the original number is 2,000.
[tex]So[/tex] [tex]we[/tex] [tex]have[/tex] [tex]\frac{2,000 - 200}{2,000}[/tex].
2,000 - 200 is 1,800.
So we're left with 1,800/2,000 and dividing
2,000 into 1,800 gives us 0.9.
Remember however that our problem is
asking for a percent, not a decimal.
So we need to write 0.9 as a percent and we can do
that by multiplying it by 100 and adding the percent sign.
So 0.9 becomes 90%.
So when a number changes from 2,000 to 200,
it has decreased by 90%.
Use the following function rule to find f(2).
f(x) = (9)* + 7
F(2) =
Answers
The value of f(2) for the given function is 25.
Given that, the function rule is f(x)=9x+7.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
To find f(2), substitute x=2 in the given function, we get
f(2)=9(2)+7
= 18+7
= 25
Hence, the value of f(2) for the given function is 25.
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To find f(2) for the function f(x) = 9x + 7, you substitute x with 2, resulting in the calculation 9(2) + 7, which equals 25.
Explanation:To find f(2) for the function f(x) = 9x + 7, we simply substitute x with 2 and calculate the value of the function at that point. Here is the step-by-step calculation:
Substitute x with 2 into the function: f(2) = 9(2) + 7.Multiply 9 by 2: 9 * 2 = 18.Add 7 to the result of step 2: 18 + 7 = 25.Therefore, the value of f(2) is 25.
In which number is the value of the digit in the hundredths place ten times as much as the value of the digit in the tenths place
Answers
Answer:
I am going to have to go with A. 46,155
Step-by-step explanation:
please mark brainliest :)
Create a Y and X table using the expression Y= -2x +5
Answers
When x=2, y is 1
When x=3, y is -1
When x=4, y is -3
When x=5, y is -5
Which of the following statements that Jasmine made about the string lengths are true? Select all that apply.
A.
The difference between the longest length and shortest length is 14 inches.
B.
I have twice as many 12-inch strings as I do 8-inch strings.
C.
The total length of string that I have is 84 inches.
D.
I cannot determine what the shortest string is by looking at my line plot.
E.
Since I need 100 total inches of string for my project, I have enough string.
helppp
A.P.S!
Answers
Answer:E and D i think
i had this on before and the answer is b and c
What are the possible outcomes?
A=
Jerry can buy a school shirt in a certain size and color
shown in the lists below. He started the table to find the
combinations.
Size: X-large, Large, Medium, or Small
Color: Blue, Gray or White
B =
C =
The total number of combinations is
X-large
Large
Medium
Small
Blue
A
Gray
White
Answers
Answer:
A= X,B
B= L,G
C= M,W
The total number of combinations is 12
Answer:
look at pic
Step-by-step explanation:
Quadrilateral DUCKDUCKD, U, C, K is inscribed in circle OOO. What is the measure of \angle K∠Kangle, K?
Answers
Answer:
Measure of ∠K=180-∠U
Or
Measure of ∠K=1/2m(arc DUC)
Step-by-step explanation:
Given:
DUCK quadrilateral inscribed in circle with center O
To Find:
Measure angle K
Solution:
Here the Quadrilateral in inscribed in a circle with center O named as DUCK
So angle K and U are opposite to each other
We know that the angle of Quadrilateral inscribed in a circle are supplemenatry angles
Hence
∠U+∠K=180
Or The ∠K=1/2*m∠arc(DUC).
Hence depending on the given value for arc measure or angle of quadrilateral we calculate the angle K
Answer:
angle K = 95 degrees
Step-by-step explanation:
180 - U = K
180 - 85 = K
please help!!!!!!!!!!!
Answers
Answer:
I would help you, but I can't see the photo. I tried to download it because it says download it but it did nothing, sorry.
Step-by-step explanation:
15 The unit cost per pound for green beans is represented by the
equation y = 1.2x. Which of these points is NOT on the graph of this
proportional relationship?
A (0,0)
B (2,2.4)
C (4,4.8)
D (12, 10)
Answers
Answer:
mbnmbnmbnmbnmbnm
Step-by-step explanation:
bnmbnmbnmbnm
Answer:
D
Step-by-step explanation:
The corret value would be 10 as x and 12 as y, it is flipped
Find 26th term in the arithmetic sequence: -15,-35,-55,-75,...
Answers
Answer:
-515
Step-by-step explanation:
In this example the first value is −15 and every value afterwards is 20 less.
After substituting these values to above formula, we obtain:
All we have to do is add 25 twenties or 25 x 20 = 500 and -15 - 500 = -515
The required 28 th term of the given arithmetic sequence is given as -555.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values that are equal.
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
Given sequence,
-15,-35,-55,-75,...
From the above sequence,
The first term, a = -15
Common difference d = -35 +15 = -20
nth term is given as,
nth = a + (n - 1)d
nth = -15 -20 (n - 1)
Now put n = 28
28th = -15 -20(28 - 1)
= -15 - 540
= -555
Thus, the required 28 th term of the given arithmetic sequence is given as -555.
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Is the slope Positive, Negative, Zero or Undefined?
Find the slope
What does m=
Answers
Answer:
0 slope
Step-by-step explanation:
Because if were to be any answer that is greater or less than 0 it would show as going diagonally down or up and that shows as 0 so it goes as a horizontal line.
Answer:
The slope is zero
and m=0
Solve equation by using the quadratic formula.
x + 4x = -4
a. X=-2
b. x=-4
C.
d.
X=-4, X = 4
x = 0, x = 4
Please select the best answer from the choices provided
0 A
0 B
0 C
0D
Answers
Answer:
x=-0.8
Step-by-step explanation:
x+4x=-4
5x=-4
x=-4/5
x=-0.8
Answer:
x = -2
Step by Step explanation:
got it right on ed
Melissa rolls two number cubes, each with sides that are labeled 1 to 6. What is the probability that both number cubes show a 1?
A 1/2
B 1/6
C 1/24
D 1/36
Answers
Answer:
1/36
Step-by-step explanation:
(1/6 * 1/6) = 1/36
Answer:
D 1/36
Step-by-step explanation:
6*6= 36 but if you do (1/6*1/6)= 1/36
Consider this scenario: You deposit $3500 into an account that earns
10% interest compounded annually. Which equation below models the
account balance over time in years? *
•B = 3500(1 + 0.1)*t
•B = 10(1 + 0.35)^t
•B = 10(3500)^t
•B = 3500(0.10)^t
Answers
Answer:
D. 3500(0.10)^t
Step-by-step explanation:
because that's how you get percentage
What is the probability of guessing the correct answer to the true-false question and the incorrect answer to the multiple-choice question? multiple choice question has 5 choices.
Answers
Answer:
Probability of getting the correct answer in a "true of false" statement options is 0.5
Step-by-step explanation:
Kindly refer to the attached image for explanations
Answer:
yeah he is right
Step-by-step explanation:
Which of the following represents the least percent of change? *
a. A coat that was originally priced at $90 is now $72
b. A puppy who weighed 6 ounces at birth now weighs 96 ounces
c. A child grew from 54 inches to 60 inches in 1 year
d. A savings account increased from $500 to $550 in 6 months
Answers
Answer:
Step-by-step explanation:
B. It didn’t grow at all