2(x + 6) + 4 = 12x - 6
Answer:
exact form:
\(x=\frac{11}{5}\)
Decimal:
\(x=2.2\)
Mixed Number Form:
\(x=2\frac{1}{5}\)
Step-by-step explanation:
simplify \(2(x + 6) + 4\)
\(2(x + 6) + 4 = 12x - 6\)
Move all terms containing x to the left side of the equation.
\(-10x+1=-6\)
Move all terms not containing x to the right side of the equation.
\(-10x=-22\)
Divide each term by − 10 and simplify.
\(x=\frac{11}{5}\)
the result can be shown in multiple forms
Exact Form: \(x=\frac{11}{5}\)
Decimal Form: \(x=2.2\)
and Mixed Number Form: \(x=2\frac{1}{5}\)
tickets to a movie cost $10.50 for adults and $7.25 for students. you and a few friends purchased 8 tickets for $61.25. how many adult tickets and student tickets were purchased?
Answer:
1 adult ticket and 7 student tickets were purchased
Step-by-step explanation:
let a represent number of adult tickets purchased and s the number of student tickets purchased, then
a + s = 8 ( subtract s from both sides )
a = 8 - s → (1) ← based on total tickets purchased
10.5a + 7.25s = 61.25 → (2) ← based on cost of tickets
substitute a = 8 - s into (2)
10.5(8 - s) + 7.25s = 61.25
84 - 10.5s + 7.25s = 61.25
84 - 3.25s = 61.25 ( subtract 84 from both sides )
- 3.25s = - 22.75 ( divide both sides by - 3.25 )
s = 7
substitute s = 7 into (1)
a = 8 - 7 = 1
that is 1 adult ticket and 7 student tickets were purchased
Question 2(Multiple Choice Worth 2 points)
(Linear Functions MC)
Which of the following tables represents a linear function?
x1 1 011
y-2-1012
x0 123 4
y-320-23
x-2-10 12
y 2 0
-102
x-2-10 1 2
y 3 1
-1-3-5
Table one and table four represent a linear function.
Which of the table represents a linear function?A linear function is simply a function that represents a straight line on the coordinate plane.
For a function to be linear, the differences of the y-values must be constant.
For table 1.
Let get the differences of the y-values
-1 - (-2) = 1
0 - (-1) = 1
1 - 0 = 1
2 - 1 = 1
Since the differences of the y-values are all 1 ( constant ), table one is a linear function.
For table 2.
2 - (-3) = 5
0 - 2 = -2
-2 - 0 = -2
3 - (-2) = 5
Since the differences of the y-values are not the same ( constant ), table two is not a linear function.
For table 3.
0 - 2 = -2
-1 - 0 = -1
0 - (-1) = 1
2 - 0 = 2
Since the differences of the y-values are not the same ( constant ), table three is not a linear function.
For table 4.
1 - 3 = -2
-1 - 1 = -2
-3 - (-1) = -2
-5 - (-3) = -2
Since the differences of the y-values are all -2 ( constant ), table four is a linear function.
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if somthing costid 64 dolers and thay sold it for 90% of the originol price how much wold it be
?
Answer:
6.40
Step-by-step explanation:
For this we will divide,
look below for a explanation
Purchase Price:
$64
Discount:
(64 x 90)/100 = $57.60
Final Price:
64 - 57.60 = $6.40
PLEASE HELP WITH THIS ONE QUESTION
Step-by-step explanation:
it is composed the x-axis
Which is equivalent to 56c^16/162c^3 squared after it has been simplified completely?
Answer:
B
Step-by-step explanation:
Just took the test plz mark brainliest
Answer:
B
Step-by-step explanation:
*Edgy 2020*
PLEASE HELP ILL GIVE A HEART AND 5 STARS
Answer:
I Think it's True (If it's not please don't hate)
Which of the following equations represents the line with a slope of 2 and a y-intercept of 4?
y = 2x + 4
y = 1/2x - 4
y = 2x - 4
y = 1/2x + 4
Answer:
The equation of the line with a slope of 2 and a y-intercept of 4 in the slope-intercept is:
y = 2x + 4Hence, option 'A' is correct.
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slope b is the y-interceptIn our case, we are given
Slope m = 2y-intercept b = 4substituting m = 2 and b = 4 in the slope-intercept form of the line equation
y = mx+b
y = 2x + 4
Therefore, the equation of the line with a slope of 2 and a y-intercept of 4 in the slope-intercept is:
y = 2x + 4Hence, option 'A' is correct.
Need ASAP
What is the measure of angle m in kite klmn
A line goes through the point (−4, 1) and goes through the origin. Which of the following is the correct equation of the line?
y= -4x
y= 4x
y= -1/4x
y= -1/4x+1
y= x-4
Of the six members in the Spirit of Woodstock rock band, four can play guitar. There are three who can play keyboards. All of the singers play guitar, and two of the guitarists also play keyboards. Two members do all three. One guitarist doesn’t sing. How many members sing but do not play keyboards?
Answer:
1 can sing but cannot play keyboard.
Step-by-step explanation:
There are six members in the rock band. We need to identify how many person can sing, play guitar and play keyboard. To identify this we will find out number of member for each activity,
Total 6 members
4 can play guitar
3 can pay keyboard
All singers play guitar but one guitarist cannot sing.
There will be 1 singer who cannot play keyboard.
Determine the monthly payment for the installment loan.
Amount Financed (P) = $15,000
Annual Percentage Rate (R) = 5%
Number of Payments per Year (N) = 12
Time in Years (T) = 3
The monthly payment is $_____?
(Round to the nearest cent as needed.)
The monthly payment is $453.125.
How to calculate simple interest amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:
\(I = \dfrac{P \times R \times T}{100}\)
Given;
Amount Financed (P) = $15,000
Annual Percentage Rate (R) = 5%
Number of Payments per Year (N) = 12
Time in Years (T) = 3
Now, monthly payment;
=(p*i*(1+i)^n)/((1+i)^n-1)
=15000(0.05/12)(1+0.05/12)^36/(1+0.05/12)^36-1
= 72.5/0.16
=453.125
Therefore, the monthly payment by 5% interest will be $453.125.
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i need help!!!! does anyone know this..!!???
The period of oscillation is 3 seconds
What is period of oscillation?A Oscillation is the periodic change of a measure around a central value or between two or more states, usually in time.
The time taken for an oscillating particle to complete one cycle of oscillation is known as the Period of oscillating particle. It is measured in seconds
Oscillation can also be vibration or revolution or cycle.
Therefore, using the graph to determine the period. Then the wave particle made a complete oscillation at 3 second.
This means that the period of the particle is 3 seconds.
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Which statement best compares savings accounts and money market accounts?
OA. A regular savings account has fewer restrictions on withdrawals than a money market account
but at a lower interest rate.
OB. A regular savings account has fewer restrictions on withdrawals than a money market account
but at a higher interest rate.
C. A money market account has fewer restrictions on withdrawals than a regular savings account
but at a lower interest rate.
OD. A money market account allows for more withdrawals than a regular savings account but at a
higher interest rate.
Answer:
Its Option C.
Step-by-step explanation:
I took this quiz and got this correct, atleast I think...??
Find the midpoint M of the line segment joining the points S=(-2,8) and T=(6,-2)
Step-by-step explanation:
\( \frac{6 + ( -2)}{2} = 2\)
this is for x
\( \frac{ - 2 + 8}{2} = 3\)
this is for y
so it will become (2,3)
A restaurant provides daily lunch set and special lunch set. It is given that the total price of 2 daily lunch sets and 3 special lunch sets is $120, and the total price of 5 daily lunch sets and 2 special lunch sets is $157. What is the price of each kind of lunch sets?
The daily lunch sets cost $6, while the special lunch sets cost $36.
What exactly is a linear equation with two variables?A linear equation with two variables consists of the greatest power of a variable being one.
A linear equation with 2 variables raised to the same power is one with two variables.It is composed as ax + by + c = 0, in which a, b, and c have become real numbers and a and b are still not equal to zero.3x + 9y = 5 and -x + 8y = 6 are two-variable linear equations, respectively.Now, for the given condition in the question;
Let the price of the daily lunch set is 'x'.
Let the price of the special lunch set is 'y'.
Then, 2 daily lunch sets and 3 special lunch sets costs $120.
2x + 3y = 120 .......(equation 1)
And, 5 daily lunch sets and 2 special lunch sets costs $157.
5x + 2y = 157 ......(equation 2)
Using elimination method to solve equation 1 and 2.
y = 36 (price of each special lunch sets)
x = 6 (price of each daily lunch sets)
Therefore, the price for the daily lunch sets is $6 and price for special lunch sets is $36 in an restaurant.
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FIND THE nth term of the following
A =7,12,17,20
B=5,9,13,17
Answer:
Tn =4n+1
Step-by-step explanation:
A. T1 = 7 Rule: add 5
T1 = (5×1) +2 =7
T2 = (5×2)+2 = 12
T3 = (5×3)+2 = 17
T4 = (5×4)+2 = 22
B. T1 = 5 Rule : add 4
T1 = (4×1)+1 = 5
T2 = (4×2)+1 = 9
T3 = (4×3)+1 = 13
T4 = (4×4)+1 = 17
Tn = (4×n)+1 = 4n+1
To convert temperatures from degrees Celsius to degrees Fahrenheit, you can use the function F(x)=95x+32 where x is the temperature in degrees Celsius. To convert temperatures from degrees Kelvin to degrees Celsius, you can use the function C(x)=x−273.15, where x is the temperature in degrees Kelvin. Find the composite function that can be used to convert temperatures from degrees Kelvin to degrees Fahrenheit.
9514 1404 393
Answer:
F(x) = (9/5)x -459.67
Step-by-step explanation:
F(C(x)) = 9/5(x -273.15) +32
F(C(x)) = (9/5)x -459.67 . . . . . simplify
the ages of people riding a bus or shown below
23 32 16 10 23 31 14 45 12 31 19 31
what is the mode of the ages
A. 31
B. 23
C. 16
D. 10
Answer:
31
Step-by-step explanation:
it is the most repeated number duh
Dee’s Catering Budget vs. Actual Comparison for December 2010
a. What is the variance (dollar and percent) in Dee’s total cost of sales for the month of December? Answer: $32,051 and 12.8%
b. To what do you attribute the variance in Dee’s total cost of sales for December?
c. What is the variance (dollar and percent) in Dee’s salaries and wages for the month of December? Answer: $6,100 and 15.7%
d. To what do you attribute the variance in Dee’s salaries and wages for December?
e. What is the variance (dollar and percent) in Dee’s marketing expenses for the month of December? Answer: $-1.050 and -87.5%
f. What advice would you give Dee regarding her marketing expense variance?
I need help with answering these questions. Letter B, D, and F.
Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
We have ,
Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.
The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.
Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.
Hence, Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
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complete question:
A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?
b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?
d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?
e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?
f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?
g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?
Select the correct answer. Rewrite the following expression.
The solution of the expression, \(x^{\frac{9}{7} }\) is \(\sqrt[7]{x^{9} }\).
How to solve an expression?An expression is a combination of numbers, variables, functions such as addition, subtraction, multiplication or division etc.
Therefore, let's rewrite the expression to it's equivalent expression.
An equivalent expression is an expression that has the same value or worth as another expression, but does not look the same.
Therefore, using indices rule
\(x^{\frac{9}{7} }\) = \(\sqrt[7]{x^{9} }\)
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Six adult tickets to a movie at the theater cost
$52.50. Find the price for one ticket.
Answer:
$8.75
Step-by-step explanation:
The total cost is $52.50. And you got eight "items". So you would do $52.50 divided by 8. This would give you the cost of one item/ticket
Find m/CAD.
A. 55°
B. 125°
C. 110°
D. 35°
A
B
55°
D
C
A toll bridge charges $4 for a car and $6 for a truck. One day 200 of these vehicles crossed the bridge and paid a total of $860 in tolls. How many of these vehicles were trucks?
The number of trucks calculated using system of equations is 30
Let :
Number of trucks = a
Number of cars = b
Charge per car = $4
Charge per truck = $6
We could form a system of equation thus:
a + b = 200 - - (1)6a + 4b = 860 - - (2)From (1)
b = 200 - a
Substitute b = 200 - a in (2)6a + 4(200 - a) = 860
6a + 800 - 4a = 860
2a = 860 - 800
2a = 60
a = 30
Therefore, the Number of trucks is 30
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Which theorem shows that △ ABC ≅ △ def?
By the SSS Congruence Theorem, △ABC ≅ △DEF.
What does a math congruent mean?
Congruent refers to having precisely the same form and size. Even after the forms have been flipped, turned, or rotated, the shape and size ought to remain constant.
What is the SSS rule?
According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.
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gena sprinted 12 yard. alicia sprinted 10 yards and 4 feet. lyona sprinted 4 yards and 7 feet less than gena how many total feet did the three girls sprint
Answer:
100 ft
Step-by-step explanation:
1 yd = 3 ft
Gena: 12 yd= 36 ft
Alicia: 10 yd and 4 ft= 34 ft
Lyona: about 10 yd= 30 ft
36 + 34 + 30 = 100
What is the measurement of the angle below?
Use the graph to determine which statement describes f(x).
Answer:
The statements are not provided, so let's do a complete description of f(x)
In the graph, we can see two asymptotes at x = 1.
This means that the denominator is equal to 0 when x = 1, then we can write:
f(x) = A/(x - 1)
Where we can start thinking that A is a constant.
Now we also can see that when x = 2, f(2) is equal to 1, or:
f(2) = 1.
Then:
f(2) = 1 = A/(2 - 1) = A/1
Then we have A = 1.
Then our function is:
f(x) = 1/(x - 1)
Z-Grand Shipping Company manufactures boxes in the shape of a cube.
The formula for the surface area of a cube is 6s, where s is the length of one side.
Z-Grand Shipping Company manufactures large boxes with a side length of 6 feet. The surface area of each large box is
square feet
The company also manufactures small boxes with a side length of 3 feet. The surface area of each small box is
square feet
The surface area of the large box is times larger than the small box.
Please Help?
Answer:
Z-Grand Shipping Company manufactures boxes in the shape of a cube.
The formula for the surface area of a cube is 6s, where s is the length of one side.
Z-Grand Shipping Company manufactures large boxes with a side length of 6 feet. The surface area of each large box is 216
square feet
The company also manufactures small boxes with a side length of 3 feet. The surface area of each small box is 54
square feet
The surface area of the large box is 4 times larger than the small box.
{So for the first line which is The surface area of each large box is
square feet.}
Ans;216
{The second line which is The surface area of each small box is
square feet.]
Ans;54
{The Third line which is The surface area of the large box is times larger than the small box.}
Ans;4
Thank you So much Hope this helps you! Please Mark Brainleast looking forward to help everyone ty!
Answer:
Z-Grand Shipping Company manufactures boxes in the shape of a cube.
The formula for the surface area of a cube is 6s, where s is the length of one side.
Z-Grand Shipping Company manufactures large boxes with a side length of 6 feet. The surface area of each large box is 216
square feet
The company also manufactures small boxes with a side length of 3 feet. The surface area of each small box is 54
square feet
The surface area of the large box is 4 times larger than the small box.
{So for the first line which is The surface area of each large box is
square feet.}
Ans;216
{The second line which is The surface area of each small box is
square feet.]
Ans;54
{The Third line which is The surface area of the large box is times larger than the small box.}
Ans;4
Brainliest if correct
Answer:
\(24w^3 - 6 + 36y^2\)
Step-by-step explanation:
\(-6(-4w^3+1-6y^2)\\\\-6(-4w^3) + -6(1) + -6(-6y^2)\\\\24w^3+-6+36y^2\\\\24w^3-6+36y^2\)
Hope this helps!
24w^3 - 6 +36y^2 is it
Step-by-step explanation:
Expand by distributing terms.
-(-24{w}^{3}+6-36{y}^{2})
−(−24w
3
+6−36y
2
)
2 Remove parentheses.
24{w}^{3}-6+36{y}^{2}
24w
3
−6+36y
2