a charitable organization in Lanberry is hosting a black tie benefit. Yesterday, the organization sold 55 regular tickets and 49 VIP tickets, raising $9,663.
Answers
Answer:
regular: $67VIP: $122Step-by-step explanation:
Let r and v represent the costs of a regular and VIP ticket, respectively. The two sales can be represented by ...
55r +49v = 9663
79r +84v = 15541
We can subtract 7 times the second equation from 12 times the first to eliminate the v terms.
12(55r +49v) -7(79r +84v) = 12(9663) -7(15541)
660r +588v -553r -588v = 115,956 -108,787 . . . . . eliminate parentheses
107r = 7169 . . . . . . . simplify
r = 67 . . . . . . . . . . . divide by 107
Using this value in the first equation, we have ...
55(67) +49v = 9663
v = 5978/49 . . . . . . . . . subtract 3685, divide by 49
v = 122
A regular ticket costs $67; a VIP ticket costs $122.
_____
Additional comment
When using "elimination" to solve a system of equations, you're looking for coefficients of the same variable that are related by small factors. Preferably, one coefficient is the same as, or a small multiple of, the other. Here, 55 and 79 (the coefficients of x) are not related by an integer, or a couple of small integers. On the other hand, the y-coefficients 49 and 84 have a common factor of 7, and are in the ratio 7:12, a pair of small numbers. This is why we chose to eliminate the y-variable.
The x-variable could be eliminated using 55 and -79 as multipliers of the equations. This results in larger numbers, and more chance for error. (Errors tend to creep in when computing or copying large numbers.)
Of course, any of several machine methods could be used to solve these equations, including graphing and matrix-solving functions. Here, we tried to honor the requirement to solve by elimination.
Related Questions
simplify 5 p + p
pls help not understanding this
Answers
=p(5+1) (Taking p in common)
=6p
Therefore, 6p is your answer.
Answer:
hi!
your answer is 6p
Step-by-step explanation:
the answer is this because when you are doing algebra if it shows only a letter then it means it is already 1.
you just have to add the (p) on to 5p
hope this helps
The area of a half circle with a diameter of 6 inches is what?
Answers
Answer: 14.143
Step-by-step explanation: found on another brainly post
https://brainly.com/question/3143386
T/F of the range, the interquartile range, and the variance, the interquartile range is least influenced by an outlying value in the data set.
Answers
false :) thats ur answer
the number sentence 4*6=6*4 is an example of what property
Answers
The number sentence 4 x 6=6x4 is part of the commutative property of multiplication. This is because since the equation is reversed, it shows that the results will still be the same.
......hope it helps you..all the best
Answer:
Commutative of Multiplication
Step-by-step explanation:
In commutative of multiplication, we can swap the numbers and still get the same product.
x/6 +2=-16 solve for x
Answers
Step-by-step explanation:-108 is answer
x/6 +2=-16
x/6=-16-2
x=-18×6=-108
Answer:
x= -128
Step-by-step explanation:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Write each repeating decimal using bar
notation.
a) 0.555 555 55...
b) 0.134 561 345 613 456...
Answers
Answer:
*The bar is supposed to go on top of the number, but I will put it at the bottom because I don't know how to do it at the top*
a) 0.5
b) 0.13456
Step-by-step explanation:
a) The 5 is repeating so you put the bar on top of the 5
b) The number 13456 is repeated so you put the bar on top of the 13456
Graph g(x)=-4+8 and identify its x-intercept
Answers
A graph of the function g(x) = -4x + 8 is shown in the image attached below.
The x-intercept of this function g(x) = -4x + 8 is (2, 0).
What is the x-intercept?In Mathematics, the x-intercept is also referred to as horizontal intercept and the x-intercept of the graph of any function simply refers to the point at which the graph of a function crosses or touches the x-coordinate (x-axis) and the y-value or value of "y" is equal to zero (0).
Next, we would simplify the given given linear equation in slope-intercept form in order to determine its x-intercept;
g(x) = -4x + 8
0 = -4x + 8
4x = 8
x = 8/4
x = 2
In conclusion, we would use an online graphing calculator to plot the given linear equation in slope-intercept form as shown in the graph attached below.
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Complete Question:
Graph g(x) = -4x + 8 and identify its x-intercept
Sally works 29 hours in a week. If she makes $9.45 an hour, what is her gross pay for the week
Answers
Answer:
29 hours X $9.45 = 274.05
Step-by-step explanation:
29X9.45= 274.05
Answer:
$274.05 is her gross pay for the week.
Step-by-step explanation:
$9.45 × 29 hours = $274.05
HELP ME FIND THE OPPOSITE OF THIS PLEASE!!! I’ll mark brainliest
Answers
Answer:
-3p^7 + 8p
Step-by-step explanation:
OPPOSITE: having a position on the other or further side of something; facing something, especially something of the same type.
if s and l are independent, both should be accepted. true or false?
Answers
if s and l are independent, both should be accepted False.
If s and l are independent, it means that the occurrence of one event does not affect the occurrence of the other event. However, this does not necessarily mean that both events should be accepted. It depends on the specific criteria and requirements for acceptance of each event.
Therefore, the statement "if s and l are independent, both should be accepted" is false.
If s and l are independent, it means that they have no direct influence on each other. However, this does not necessarily mean that both should be accepted. The acceptance of s and l will depend on their individual merits and the specific context or criteria being considered.
The independence of s and l does not automatically imply that both should be accepted. Instead, evaluate each one separately based on the relevant factors.
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True. If s and l are independent variables, then accepting one does not affect the acceptance or rejection of the other. Therefore, both can be accepted if they meet the necessary criteria.
However, it's important to note that this assumption of independence should be confirmed through statistical analysis before making any conclusions.
If s and l are independent variables, then accepting one does not affect the acceptance or rejection of the other. This means that both can be accepted if they meet the necessary criteria. However, it's important to ensure that this assumption of independence is valid before making any conclusions. The independence of the variables can be tested through statistical analysis. Therefore, it's essential to examine the relationship between s and l before accepting or rejecting them. In general, if s and l are independent, then both can be accepted without any issues.
In conclusion, if s and l are independent variables, then both can be accepted. However, the independence assumption should be confirmed before making any decisions. This can be achieved through statistical analysis, which is a crucial step in data analysis.
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Solve for X in the photo below
Answers
Miguel Rodriguez borrowed $100 from his brother Jullo to pay for books and tuition. He agreed to pay Julo in 6 months with simple annual interest at 6.1% a) How much will the interest amount to? b) What amount must Miguel pay Jullo at the end of 6 months? GUIDO The simple interest is $
Answers
Miguel must pay Jullo a total of $103.05 at the end of 6 months.
To calculate the interest amount and the total amount Miguel needs to pay Jullo at the end of 6 months, we'll use the formula for simple interest:
Simple Interest = Principal (P) * Rate (R) * Time (T)
a) To calculate the interest amount, we need to substitute the given values into the formula:
Principal (P) = $100
Rate (R) = 6.1% expressed as a decimal, which is 0.061
Time (T) = 6 months
Interest = $100 * 0.061 * 6/12
Interest = $100 * 0.061 * 0.5
Interest = $3.05
Therefore, the interest amount will be $3.05.
b) To calculate the total amount Miguel must pay Jullo at the end of 6 months, we need to add the principal amount and the interest amount:
Total Amount = Principal + Interest
Total Amount = $100 + $3.05
Total Amount = $103.05
Therefore, Miguel must pay Jullo a total of $103.05 at the end of 6 months.
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Write and solve an equation to
find the number.
a) Seven less than twice a number
equals 19.
b) Eight decreased by 3 times a number equals 2.
Answers
Answer:
a. 13; Equation = 2N - 7 = 19
b. 2; 8 - 3N = 2
Step-by-step explanation:
a. 2N - 7 = 19
- 2N - 7 + 7 = 19 + 7
- 2N = 26 = 13
2 2
b. 8 - 3N = 2
8 - 8 - 3N = 2 - 8
- 3N = -6 = 2
-3 -3
How many degrees are in a semicircle? 36° 90° 270° 180°
Answers
Answer:
180°
Step-by-step explanation:
HELPPP ASAPPP FOR BRAINLEST RIGHT NOW!
Answers
How does the graph of g(x) = (x − 8)3 + 3 compare to the parent function f(x) = x3?
a. g(x) is shifted 8 units to the left and 3 units up.
b. g(x) is shifted 3 units to the right and 8 units down.
c. g(x) is shifted 8 units to the right and 3 units up.
d. g(x) is shifted 3 units to the right and 8 units up.
Answers
Answer:
The right answer is C.
Step-by-step explanation:
The parent function is:
\(f(x)=x^3\)
If something is subtracted from variable \(x\) it means the graph shifted toward right and something is added to \(y\) value then the graph is shifted up.
\(f(x)=(x-8)^3\)
graph shifted toward right by \(8\) units right
\(f(x)=(x-8)^3+3\)
graph shifted toward right by \(3\) units up
Thus the new function is:
\(g(x)=(x-8)^3+3\)
Two supplementary angles differ by 34. Find the angles.
Answers
Answer:
x=107,y=73 is ur answer
Step-by-step explanation:
let two angles be x & y
x-y=34(given)
x=34+y................1
x+y=180(supplementary)
putting the value of x
34+y+y=180
2y=180-34
y=146/2=73
:.y=73
putting the value of y in equation 1
x=34+73=107
:.x=107
Answer:
73° and 107°
Step-by-step explanation:
Mark one of the angles as x
then the other angle is (x + 34)
Two angles are called supplementary when their measures add up to 180 degrees.
So the sum of those angles is always 180°
x + (x + 34) = 180
2x + 34 = 180
2x = 180 - 34
2x = 146
// divide both sides by 2
x = 73°
Now find the other angle
x + 34 = 73 + 34 = 107°
need help with multiple questions (and if you can, show your work, thanks):
1: Measure 8 tbsp. chocolate sauce and add 2 1/2 cups of milk.
2: Start with 1 3/4 cups of milk and add 2 1/2 tbsp. chocolate sauce.
3: Add 3 1/3 tbsp. chocolate sauce to 1 1/4 cups milk.
4: For every 1 cup of milk add 2 1/2 tbsp. of chocolate sauce.
5: Stir 1 tbsp. chocolate sauce into 2/3 cup milk.
Answers
With this query, no effort is necessary. measure the tbsp. of all items.
Is milk consumption healthy?A great source of both phosphorus and calcium, which are essential for the growth and upkeep of strong, strong teeth and bones, is milk. They lower the chance of developing osteoporosis and suffering broken bones later in life. Milk encourages strong bones.
1. Measure \(8\) tbsp. chocolate sauce and add \(2\frac{1}{2}\) cups of milk.
No work is required for this question. It is a simple instruction to measure out 8 tbsp. of chocolate sauce and add it to \(2\frac{1}{2}\) cups of milk.
2. Start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. chocolate sauce.
No work is required for this question. It is a simple instruction to start with \(1\frac{3}{4}\) cups of milk and add \(2\frac{1}{2}\) tbsp. of chocolate sauce.
3. Add \(3\frac{1}{3}\) tbsp. chocolate sauce to \(1\frac{1}{4}\) cups milk.
No work is required for this question. It is a simple instruction to add \(3\frac{1}{3}\)tbsp. of chocolate sauce to \(1\frac{1}{4}\) cups of milk.
4. For every 1 cup of milk add \(2\frac{1}{2}\) tbsp. of chocolate sauce.
No work is required for this question. It is a simple instruction to add \(2\frac{1}{2}\) tbsp. of chocolate sauce for every \(1\) cup of milk.
5. Stir \(1\) tbsp. chocolate sauce into \(\frac{2}{3}\) cup milk.
No work is required for this question. It is a simple instruction to stir 1 tbsp. of chocolate sauce into \(\frac{2}{3}\) cup of milk.
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can somebody verify this for me?
5f + 3n + 2
use f = -4 and n=-7
answer is -43
is this correct? yes or no?
Answers
Answer:
no
Step-by-step explanation:
5(-4)+3(-7)+2= -20-21+2=-39
the area of Carlton Garden is 96 square feet the width of the garden is 8 feet what is the length of fencing Carlton would need to fence around the garden the answers are 40 square feet or 40 ft or 54 foot or 54 square foot or 104 foot
Answers
The area of Carlton Garden is 96 square feet.
The width of the garden is 8 feet
We are asked to find the length of fencing Carlton would need to fence around the garden.
Recall that the area of a rectangular shape is given by
\(A=L\cdot W\)Where L is the length and W is the width.
Let us substitute the values of area and width into the above formula
\(\begin{gathered} A=L\cdot W \\ 96=L\cdot8 \\ L=\frac{96}{8} \\ L=12\: ft \end{gathered}\)Therefore, the length of fencing Carlton would need to fence around the garden is 12 feet.
Find the sum of the infinite series below.
URGENT!!!!!!!!!!!!!!!!
Answers
If Samantha can make 6 bracelets in 1 hour and Payton makes 15 bracelets in 3 hours - what is the difference in the number of
bracelets they would make in 6 hours?
Answers
Arrange the following fraction from least to greatest 2/3, 5/6, 3/5
What did you do to arrange the fraction from least to greatest?
Answers
Answer:
2/3 and 3/5 is same, then 5/6
Step-by-step explanation:
you can convert the fractions to decimals to find their value and then arrange them from least to the greatest.
Answer:
3/5, 2/3, 5/6 [From Least to Greatest]
Step-by-step explanation:
First you're going to want to know which one is "the bigger piece of pie".
I made a few drawing and look at the pictures (Just in case you have a different opinion from my answer)
What is the MEAN of the data set below?(0.2,0.8,0.4,0.3,0.4,0.4,0.4,0.8,1.3)
Answers
Answer:
5/9
Step-by-step explanation:
we add all of the values and divide by the total number in this case 9, all of them add to make 5 so we do 5÷9 to get 5/9
1/3 as a percent
0.43 as a percent
2/17 as a percent
1.25 as a percent
All rounded to the nearest whole
Answers
B.) .43 = 43%
C.) 2/17 = 12%
D.) 1.25 = 125%
Vince is married with 5 withholding, he earns $4,200. Find weekly withholding.
Answers
1/6.43 +2/3.56 +1/8.51 use reciprocal table.Correct answer only
Answers
Answer:
0.8348Step-by-step explanation:
Given the expression 1/6.43 +2/3.56 +1/8.51, If 'a' is a number, the reciprocal of such number is 1/a. According to the question, the reciprocal of 6.43, 3.56 and 8.51 are 1/6.43 and 1/3.56 and 1/8.51 respectively.
1/6.43 = 0.1555
2/3.56 = 2 * 1/3.56
= 2 * 0.2809
= 0.5618
1/8.51 = 0.1175
Taking the sum of the reciprocals;
1/6.43 +2/3.56 +1/8.51 = 0.1555 + 0.5618 + 0.1175
1/6.43 +2/3.56 +1/8.51 = 0.8348
Hence, the sum of 1/6.43, 2/3.56 and 1/8.51 is 0.8348
How many positive divisors does the number 24 have?
Answers
Find the values of the missing angles pt. 2
Answers
Answer:
1. 130°
2. 124°
3. 56°
4. 52°
5. 72°
6. 94°
Step-by-step explanation:
1. 180° on a straight line
180 - 50 = 130°
2. 180° in a triangle and on a straight line
180 - 50 - 74 = 56°
180 - 56 = 124°
3. 180° on a straight line
180 - angle 2
180 - 124 = 56°
4. 180° in a triangle and on a straight line
180 - 108 = 72°
180 - 56 - 72 = 52°
5. 180° on a straight line
180 - 108 = 72°
6. 180° in a triangle and on a straight line
180-angle 5 and 22°
180 - 72 - 22 = 86°
180 - 86 = 94°
Which expression represents the following calculation?
Add 450 to 348, and then multiply by 7.
o
A. 450 + 348 x 7
B. (450 + 348) 7
C. 450 x 7 + 348
O D. 450 * (7 + 348)
Answers
An expression that represents the given calculation is (450 + 348) × 7
The correct answer is an option (B)
What is an expression?"It is a combination of numbers, variables and some mathematical operations."
What is BODMAS?It is an acronym and it stands for Bracket , Order , Division , Multiplication , Addition and Subtraction .
In this question ,
its been said to first add then multiply
First add 450 to 348
(450 + 348)
now multiply the result with 7
(450 + 348 ) × 7
Therefore, an expression that represents the given calculation is (450 + 348) × 7
The correct answer is an option (B)
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