6x+y=4x+11
y=4x+11-6x
y=-2x+11
[tex]\(y = 11 - 2x\)[/tex] is the rearranged equation with [tex]\(x\)[/tex] as the independent variable.
To rearrange the equation [tex]\(6x + y = 4x + 11\)[/tex] so that (x\) is the independent variable and (y) is dependent, we need to isolate (y) on one side of the equation.
Start with the given equation: [tex]\(6x + y = 4x + 11\)[/tex].
Subtract (4x) from both sides to move all terms involving (y) to one side: [tex]\(6x - 4x + y = 11\).[/tex]
Simplify the left side by combining like terms: 2x + y = 11.
To isolate y, subtract 2x from both sides: 2x + y - 2x = 11 - 2x.
Simplify: [tex]\(y = 11 - 2x\)[/tex].
So, the rearranged equation with (x) as the independent variable is y = 11 - 2x.
Detailed calculation:
Starting equation: (6x + y = 4x + 11)
Subtract (4x) from both sides:
[tex]\(6x - 4x + y = 4x - 4x + 11\)[/tex]
[tex]\(2x + y = 11\)[/tex]
Subtract (2x) from both sides:
[tex]\(2x + y - 2x = 11 - 2x\)[/tex]
[tex]\(y = 11 - 2x\)[/tex]
Therefore, [tex]\(y = 11 - 2x\)[/tex] is the rearranged equation with [tex]\(x\)[/tex] as the independent variable.
which is a correct two-column proof? Given: <H and <X are supplementary. prove: l || n
Answer:
option-B
Step-by-step explanation:
we are given
<H and <X are supplementary angles
so,
<H+<X=180
we know that
<H and <E are vertically opposite angles
so, they must be equal
<H=<E
we can plug it
<E+<X=180
It means that angle(E) and angle(X) are supplementary angles
and these two angles are same side interior angles
By using same side interior angles converse
so, line(l) and line(n) must be parallel
so, option-B
Answer:
Option (B) is correct
Step-by-step explanation:
∠H and ∠X are supplementary as given, ∠H + ∠X = 180
And, ∠H = ∠E ( Vertical opposite angles are equal )
So, by substitution ∠E + ∠X = 180
So, the sum of same side interior angles ∠E and ∠X is 180 therefore, by using converse of same-side Interior angles theorem we get l║m.
The correct option is B
A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.50.

Which value could replace x on the table?
(4 – g) 1.5
(4 – g) + 1.5
4g – g(1.5)
(4 – g)g
Plz provide a 'Table'
Answer:
the answer is A.(4-g)1.5
Step-by-step explanation:
[tex]3(2x - 3) = 4(x + 1)[/tex]
solve the problem and show your work
Answer:
x = [tex]\frac{13}{2}[/tex]
Step-by-step explanation:
distribute parenthesis on both sides of the equation
6x - 9 = 4x + 4 ( subtract 4x from both sides )
2x - 9 = 4 ( add 9 to both sides )
2x = 13 ( divide both sides by 2 )
x = [tex]\frac{13}{2}[/tex]
Which equation represents a proportional situation? y = 6x + 4 y = –3x + 10 y = –2x – 14 y = 14x
The equation of proportional situation is y = ax.
Therefore your answer is y = 14x
HELP ASAP !!!
which variable is most important to the following problem? A company has 95,000 shares of stock to sell. A stockbroker decides to buy 150 shares of the stock for each of her 250 clients. How many shares will the company have left to sell after the stockbroker makes her purchase
A. the number of shares the stockbroker bought for each customer
B. the price of one share
C. the number of shares remaining after the stockbroker buys shares for her customers
Answer: the price of shares is never mentioned
the number of shares bought for each customer (what customers? does customer = client?) .... bought for each client is what you're solving for
so C. number of shares remaining to be sold
if 95,000 shares available before sale, 75,000 after, 20,000 were sold.
20,000 shared among 250 people is 80 shares each.
Answer:
C. the number of shares remaining after the stockbroker buys shares for her customers
Step-by-step explanation:
Here Most important variable is asked, So Option (C) is the best choice. It is the most important variable for finding the number of shares the company has left.
Option (A) can't be chosen because it is comparatively less important than option (C).
Option (B) never can be an important variable since the price of shares is not given.
Also, The number of shares the company has left after stockbroker's purchase = 95000 - 150×250 = 57500.
Cost: 10.00
Markup Rate 60%
What is the selling price and why?
(Help I don’t understand)
Answer:
$16
Step-by-step explanation:
$10 is the original price when it is out of the factory. If they are marking it up, they are raising the price by 60%. 160% of 10 is 16, so your answer is $16. Please mark my answer as brainliest
The ordered pairs model an exponential growth function.
{(−1,21.875), (0,35), (1,56), (2,89.6)}
What is the function equation?
Enter your answer in the box.
Answer:
[tex]y=35\cdot (1.6)^x.[/tex]
Step-by-step explanation:
Find the exponential function in a form [tex]y=a\cdot b^x.[/tex]
1. At x=0,
[tex]35=a\cdot b^0=a.[/tex]
2. At x=1,
[tex]56=35\cdot b^1\Rightarrow b=\dfrac{56}{35}=\dfrac{8}{5}=1.6.[/tex]
Therefore, the expression for the exponential function is
[tex]y=35\cdot (1.6)^x.[/tex]
Note that
[tex]y(-1)=35\cdot (1.6)^{-1}=\dfrac{35}{1.6}=21.875[/tex]
and
[tex]y(2)=35\cdot (1.6)^2=35\cdot 2.56=89.6.[/tex]
The exponential growth function represented by the provided set of ordered pairs is[tex]y = 35 \times 1.6^x,[/tex] where 'a' is the initial value and 'b' is the growth factor derived from the given points.
Explanation:To begin determining the underline equation of this exponential growth function, we first need to recognize that the general form of an exponential function is[tex]y = ab^x[/tex] , where a is the initial value (the output when x=0) and b is the growth factor.
In the provided set of ordered pairs, when x = 0, y = 35. Therefore, a = 35. Now, to calculate b, we could apply the function to the point (1,56). We know that[tex]56 = 35\times b^1,[/tex]which simplifies to 56 = 35b. Solving for b gives us b ≈ 1.6 (approximation).
So, the exponential growth function that corresponds to these ordered pairs is[tex]y = 35\times 1.6^x.[/tex]
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Find the number if 5.5% of it is 17% of 11
Answer:
The number is 34.
Step-by-step explanation:
Let the number be x.
As per the statement: if 5.5% of it is 17% of 11.
⇒ 5.5% of x is 17% of 11.
"5.5%of x" means [tex]\frac{5.5}{100} \times x[/tex]
"17% of 11" means [tex]\frac{17}{100} \times 11[/tex]
then;
[tex]\frac{5.5x}{100} = \frac{17 \times 11}{100}[/tex]
Multiply by 100 on both sides, we get;
[tex]\frac{5.5x}{100} \times 100 = \frac{17 \times 11}{100} \times 100[/tex]
Simplify:
[tex]5.5x = 187[/tex]
Divide both sides by 5.5 , we get;
[tex]\frac{5.5x}{5.5} = \frac{187}{5.5}[/tex]
Simplify:
x = 34
Therefore, the number is 34.
Answer:
Step-by-step explanation:
First we must find 17% of 11.
0.17 x 11 = 1.87
So we know 5.5% of "a number" or "x" is equal to 1.87
0.055x = 1.87
x = 1.87/0.055
x = 34
5Y+2-3(4Y)=0
WHAT DOES THIS EQUAL
Hello.
Y= 2/7
Step 1: Simplify both sides of the equation.
5y+2−3(4y)=0
5y+2+−12y=0
(5y+−12y)+(2)=0(Combine Like Terms)
−7y+2=0
Step 2: Subtract 2 from both sides.
−7y+2−2=0−2
−7y=−2
Step 3: Divide both sides by -7.
−7y/−7=−2/−7
y=2/7
Have a nice day.
Isabel is mailing packages. Each small package costs her $2.30 to send. Each large package costs her $3.60 . How much will it cost her to send 5 small packages and 4 large packages? (im not very smart)
Answer:
the answer is 25.9 round it to 26 if needed
Step-by-step explanation:
2.30 * 5 =11.50
3.60 * 4 =14.4
11.50+14.4=25.9
Well first let's do the small packages $2.30 * how many your sending which is 5. $2.30 * 5 = $11.50 and do the same for the big packages 3.60 * 4 = $14.40. Now add up both $11.50 + $14.40 = 25.90
Hope That Helps
HI CAN SOMEONE PLZ HELP ME I HAVE NO CLUE HOW TO DO THIS SOS. THANKS SM!!!❤️❤️❤️
Problem 1)
This question is incomplete. It asks us to find something, but doesn't say what to find. It's literally blank after the word "find" which suggests your teacher made a typo. Please get back to me on this. Thanks.
===================================
Problem 2)
Angles GAR and GAT are supplementary because they are a linear pair. They form a straight angle. So we add up the expressions of x for each of these angles, solve for x, and use this to find angle GAR.
(angle GAR) + (angle GAT) = 180
(5x) + (3x+4) = 180
8x+4 = 180
8x+4-4 = 180-4
8x = 176
8x/8 = 176/8
x = 22
Note: now that I reached this point I realize that this might be the answer to problem 1; however, I'm not 100% sure because of the incomplete problem.
Use this x value to find angle GAR
angle GAR = 5*x
angle GAR = 5*22
angle GAR = 110
Unfortunately this answer isn't listed. I'm thinking your teacher made another typo.
===================================
Problem 3)
Answer: angle GAR and angle ABQ are corresponding angles.
Thankfully this answer is listed. Corresponding angles are angles that are on the same side of the transversal line and they are either both above or below the parallel lines they are next to. In this case, they are both above the parallel line counerparts.
===================================
Problem 4)
Corresponding angles are congruent as long as we have a set of parallel lines. So that means angle ABQ is equal to angle GAR. So angle ABQ is also 110 degrees
===================================
Problem 5)
angle BAT = angle GAR, because they are vertical angles
angle BAT = 110
angle BAT = (angle BAD) + (angle DAT)
(angle BAD) + (angle DAT) = angle BAT
(100) + (angle DAT) = 110
angle DAT = 110-100
angle DAT = 10
angle ADB = angle DAT, because they are alternate interior angles
angle ADB = 10
--------
Final Answer: 10 degrees
Mary is twice as old as Jane was when Mary was as old as Jane is now. The sum of their ages is 28. What is the age of each girl?
Answer:
Mary's age is 16.8 years
Jane's age is 11.2 years
Step-by-step explanation:
Let's assume Jane was x years old
Mary is twice as old as Jane a long time ago
so, Marry's age =2x
difference in age =2x-x=x years
It means that Marry is x year older than Jane
now, we have
Mary was as old as Jane is now
or we can say that
Jane is as old as Mary was
we know that
Mary =2x years
so, Jane age becomes
Jane=2x years
and we have got
As Mary is x years older than Jane
so, Mary's age =2x+x=3x years old now
now, we are given
The sum of their ages is 28
So,
Mary's age + Jane's age =28
[tex]3x+2x=28[/tex]
[tex]5x=28[/tex]
[tex]x=5.6[/tex]
Mary's age is
[tex]=3\times 5.6[/tex]
[tex]=16.8[/tex]
Jane's age is
[tex]=2\times 5.6[/tex]
[tex]=11.2[/tex]
Please help. Will reward brainliest
Answer: B
Step-by-step explanation:
£2300 is invested for 4 years at 5% per year simple interest.
Work out the total interest.
Answer:
The total interest is £460.
Step-by-step explanation:
Formula
[tex]Simple\ interest = \frac{Principle\times Rate\times Time}{100}[/tex]
As given
£2300 is invested for 4 years at 5% per year simple interest.
Principle = £2300
Rate = 5%
Time = 4 years
Put in the formula
[tex]Simple\ interest = \frac{2300\times 5\times 4}{100}[/tex]
[tex]Simple\ interest = \frac{46000}{100}[/tex]
Simple interest = £460
Therefore the total interest is £460.
Answer: £460
Step-by-step explanation:
Use this formula to find the total interest [tex]I=\frac{P*R*T}{100}[/tex]
I stands for interest, P is principal, R is rate, and T is time.
Principle = £2300
Rate = 5%
Time = 4 years
[tex]\frac{2,300*5*4}{100} =\frac{46,000}{100} =460[/tex]
Hope this helps, now you know the answer and how to do it. HAVE A BLESSED AND WONDERFUL DAY! :-)
- Cutiepatutie ☺❀❤
If the length of a rectangle is 7/8 and the width is 1/4 of a meter then what is the area, A=lw, of the rectangle
Answer:
7/32 square meters
Step-by-step explanation:
Multiply the fractions. The numerators multiply to 7*1 = 7. The denominators multiply to 4*8 = 32. This is why (7/8)*(1/4) = 7/32. The units are "square meters" to indicate we're dealing with area instead of a linear measurement.
note: 7/32 = 0.21875
Answer:
7/32 square meters
Step-by-step explanation:
The area of a rectangle is A = L * W.
Here, that area is A = (7/8)(meter)(1/4)(meter) = 7/32 meter^2.
How many seconds are in a hour?
Answer:3600
Step-by-step explanation:
Mora is using a map to find the distance between her house and her cousin's house. She knows that $2$ centimeters on the map represent $300$ miles. On the map, the distance between her house and her cousin's house is $20$ centimeters.
Answer:
Step-by-step explanation:
2÷20= 10 × 300= 3,000 miles
The distance between her house and her cousin's house is 3000 miles.
What is unit conversion?It is the conversion of one unit to another unit with its standard conversion.
Example:
1 hour = 60 seconds
1 minute = 60 seconds
1 km = 1000 m
We have,
2 cm = 300 miles
The distance between her house and her cousin's house.
= 20 cm
= 10 x 2 cm
= 10 x 300
= 3000 miles
Thus,
3000 miles is the distance between her and her cousin's house.
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how many solutions does this system have? y = 5x - 1 y = -3x + 7
Answer:
There are no solutions.
Step-by-step explanation:
Nothing can be done further.
The given system of equations has exactly one solution for x =1 that is y = 4.
What is the system of linear equation ?
A system of linear equation is a group of one or more linear equations which can be solved by using a simultaneous equation.
The system of equations given is :
y = 5x - 1 ---- -- ---- ---- ---- ---- ---- ---- ---- ---- Equation 1
y = -3x + 7 ---- -- ---- ---- ---- ---- ---- ---- ---- ---- Equation 2
Solving the system of equation by subtracting equation 2 from equation 1.
y - y = (5x + 3x) + (-1 - 7)
0 = 8x - 8
x = 1
So , for x = 1 , we have values of y as :
y = 4
and
y = 4
So, the system of equation has one value for x = 1 that is y = 4.
Therefore , the given system of equations has exactly one solution for x =1 that is y = 4.
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If 10 pencils and 7 erasers cost $4.23 and 3 pencils and 1 eraser cost $0.95, what is the cost of 2 erasers?
Answer: $0.58
Step-by-step explanation:
Let x represent pencil and y represent eraser
10x + 7y = 4.23 → 1(10x + 7y = 4.23) → 10x + 7y = 4.23
3x + y = 0.95 → -3(3x + y = 0.95) → -21x - 7y = -6.65
-11x = -2.42
÷-11 ÷-11
x = 0.22
3x + y = 0.95
3(0.22) + y = 0.95
0.66 + y = 0.95
y = 0.29
2y = 2(0.29) = 0.58
3
5
of students at a school are boys. If there are 2420 students at the school, how many are girls?
Question
3/5 of students at a school are boys. If there are 2420 students at the school, how many are girls?
Answer:
968 girlsStep-by-step explanation:
if 3/5 are boys 2/5 are girls (5 - 3/5 = 2/5)
so 2420 * 2/5 = 968 girls
Answer: 968 girls in the school.
Step-by-step explanation:
you just multiply 3/5 by 2420 and you get how many boys are in the school, 1452. then subtract 2420- 1452 and get 968. Hope this helped :)
Jacob mixes 1/3 cup o yellow paint for every 1/5 cup of blue paint to make green paint how many cups of yellow paint are needed for one cup of blue paint
Answer:
[tex]\dfrac{5}{3}[/tex] cups
Step-by-step explanation:
Jacob mixes [tex]\dfrac{1}{3}[/tex] cup of yellow paint for every [tex]\dfrac{1}{5}[/tex] cup of blue paint to make green paint.
The ratio of yellow paint to blue paint = [tex]\dfrac{1}{3}:\dfrac{1}{5}[/tex]
= 5:3
[tex]\dfrac{1}{5}[/tex] cup of blue paint = [tex]\dfrac{1}{3}[/tex] cup of yellow paint
1 cup of blue paint = [tex]\dfrac{1}{3}\div\dfrac{1}{5}[/tex] cup of yellow paint
[tex]\Rightarrow \dfrac{1}{3}\div\dfrac{1}{5}[/tex]
[tex]\Rightarrow \dfrac{5}{3}[/tex]
Hence, For 1 cup of blue paint needed [tex]\dfrac{5}{3}[/tex] cups of yellow paint.
Ben thinks that the slope ratio for this triangle is 7/10. Carlissa thinks the ratio is 10/7 Who is correct? Explain your thinking fully.
Answer:
Both answers are correct, depending on the angle taken as reference
Step-by-step explanation:
we know that
In a right triangle
The slope ratio of the triangle is equal to the function tangent
The function tangent in a right triangle is equal to the opposite side to the angle divided by the adjacent side to the angle
so
[tex]tan(35)=\frac{7}{10}[/tex] -----> Ben's ratio
and
[tex]tan(55)=\frac{10}{7}[/tex] ------> Carlissa's ratio
therefore
The slope will depend on the angle taken as a reference
so
Both answers are correct, depending on the angle taken as reference.
what inequality represents the sentence the quotient of a number and 3 is no more than 15
Answer:
n/3 ≤ 15
Step-by-step explanation:
Quotient = n/3
The quotient cannot be greater than 15, but it can equal 15.
n/3 ≤ 15
The quotient of a number and 3 is no more than 15 represented by x/3 ≤ 15.
What is problem-solving?
Problem-solving is defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.
Problem-solving starts with identifying the issue. For example, a trainer may need to figure out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.
Solution:
let the number be X
x/3 ≤ 15
Quotient = x/3
Since the quotient cannot be greater than 15, it can equal 15.
∴ x/3 ≤ 15
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a flat surface made up of points that extends indefinitely in all directions
Good morning Sir/Ma'am!
Answer:
A plane is a flat surface made up of points that extends infinitely in all directions.
Hope this helps! Have a great day!
~Sky
a cone has a radius of 6cm and height 9 calculate a)the volume and curved surface area b) total surface area
Answer:
V = 339.3 cm³; L = 203.9 cm²; A = 317.0 cm²
Step-by-step explanation:
a) Volume
The formula for the volume (V) of a cone is
V = ⅓πr²h
V = ⅓π × 6² × 9
V = ⅓π × 36 × 9
V = 108π cm³
V ≈ 339.3 cm³
=====
Curved surface area
The formula for the lateral surface area (L) of a cone is
L = πr√(r² + h²)
L = π×6√(36 + 81)
L = 6π√[9(4 + 9)]
L = 6π√(9 × 13)
L = 18π√13 cm²
L ≈ 203.9 cm²
===============
b) Base surface area
The base is a circle, so the formula for base surface area (B) is
B = πr²
B = π×6²
B = 36π cm²
B ≈ 113.1 cm²
=====
Total surface area
A = L + B
A = 18π√(13 +36π)
A = 18π(2 + √13) cm²
A ≈ 203.9 + 113.1
A ≈ 317.0 cm²
Help me!!! Give me steps how to make this look like I showed my work on paper.
Answer:
p=2
Step-by-step explanation:
3(p+1)=9
3 x ? = 9
3x3=9
p+1 = 3
P=2
3(2+1)=9
3(3)=9
9=9
BRAINLIEST?
Answer:
Step-by-step explanation:
divide by three on both sides of the equal sign.
Then subtract one from from both sides of the equal sign.
the answer is p=2
3(p+1)=9
(p+1)=3
p=2
Triangle ABC A(3, 0) B(10, 1) C(6, 3)
Answer:
See picture.
Step-by-step explanation:
There you go.
273 × 346 in standard algorithm
Final answer:
To multiply 273 by 346 using the standard algorithm, follow these steps and the result is 94,608.
Explanation:
To multiply 273 by 346 using the standard algorithm, follow these steps:
Multiply the units' digits: 3 * 6 = 18. Write down the 8 and carry over the 1.
Multiply the tens' digits: 7 * 4 = 28. Add the carried-over 1: 28 + 1 = 29. Write down the 9 and carry over the 2.
Multiply the hundreds' digits: 2 * 3 = 6. Add the carried-over 2: 6 + 2 = 8.
Write down the result in the correct place value: 8 (hundreds), 9 (tens), 8 (units).
So, 273 multiplied by 346 gives us 94,608.
14. 30/r
r = 5
Need help!?
Answer:
The expression = 6
Step-by-step explanation:
The expression is 30/r
30/r
Substitute r=5
30/5
6
Aidens age Is 1/7 of his father’s age. His father will be 61 years old in five years. In how many years will Aidens age be 1/5 of his fathers age ?
Answer:
see below PLEASE GIVE BRAINLIEST
Step-by-step explanation:
Aiden's father will be 61 in 5 years:
61 - 5 = 56
Since Aiden is 1/7 of his father's age just divide his father's age by 7:
56 ÷ 7 = 8 Aiden is currently 8 years old.
Aiden his father is he 1/5 his fathers age
9 57 9 x 5 = 45 NO
10 58 10 x 5 = 50 NO
11 59 11 x 5 = 55 NO
12 60 12 x 5 = 60 YES
Aiden is 1/7 of his father's current age, and his father is currently 56. Given that we want Aiden's age to be 1/5 of his father's, the number of years that would need to pass is 14 years.
Explanation:Firstly, let's determine Aiden's current age and his father’s current age. We know that Aiden's age is 1/7 of his father’s age, and that his father will be 61 in five years, meaning that his father is currently 56. Thus, Aiden, being 1/7 of his father’s age, is 8 years old.
Let's denote the number of years that we are looking for as 'x'. In 'x' years, Aiden will be 8+x years old, and his father will be 56+x. For Aiden’s age to be 1/5 of his father’s age, the following must be true: (8+x) = 1/5*(56+x). Solving this equation gives us x = 14. Therefore, in 14 years, Aiden's age will be 1/5 of his father's age.
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