The general admission tickets sold are 1467 and the number of reserved seats tickets sold is 358.
Two equations would be derived from the question:
$2.50a + $5b = $3667.50 equation 1
a + b = 1109 equation 2
Where:
a - number of people for the general admission
b = number of people for the reserved seats
To determine the value of b, take the following steps:
Multiply equation 2 by 2.5
2.5a + 2.5b = 2772.50 equation 3
Subtract equation 3 from 2
2.5b = 895
Divide both sides by 2.5
b = 358
In order to determine the value of a, substitute for b in equation 2
358 + a = 1109
a = 1109 - 358 = 1467
To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults
In a garden 30% of the plants are carrots. If 63 plants are not carrots, how many of the plants are carrots.
Must show each step.
Answer: 27 see my work
Step-by-step explanation:
1. We know that 30% are carrots, meaning that 70% are not carrots (30% + 70% = 100%)
2. Since 70% and 63 of the plants are not carrots, we know that 63 = 70%
3. We need to find 30% of the plants (all of the carrots) so let’s divide 63 by 7
63 = 70%
*divide both by 7*
9 = 10%
4. We know that 9 plants is equivalent to 10% of the plants, so let’s multiply by 3 to get the number of carrots
9 = 10%
*multiply by 3*
27 = 30%
There are 27 carrots
Find the value of y.
Answer:
y = 155
Step-by-step explanation:
6x + 1 = 2x + 17
x = 4
2 · 4 + 17 + y = 180
y = 155
I hope that this helps!!
How many groups of 3/4are in 11/4
Answer:
12
Step-by-step explanation:
there are 12 3/4 on 11/4
How much money must be deposited at the end of each year if the objective is to accumulate $250,000 after 10 years? Assume interestis eamed at the rate of 10 percent compounded annually. How much interest will be eamed?
Answer:
Step-by-step explanation:
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if a chocolate cake is divided into six equal slices and each slice has 280 calories
Answer:
Whats the question?
Step-by-step explanation:
Answer:
1,680
Step-by-step explanation
6 slices each 280 calories, 280 x 6 = 1,680
please assist me
NO LINKS!!
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today, I hope you are having a nice day!
We can solve this in two steps, Comprehension and Solving. I'll go ahead and start with Comprehension.
If you have any questions feel free to ask away!!
Comprehension
We know according to the laws of geometry that all angles in a triangle add up to 180 degrees.
We also know that in an isosceles angle, the base angles are equation to each other.
Now that we know what we need to know, we can setup an equation.
[tex]2x-6+(2x)=180[/tex]
We can do this because first of all, we know that 2x-6 is one of the angles and as per the base angles of an isosceles triangle we know that both base angles are x, therefore we can add 2x to get 180 degrees.
I'll start solving now.
Solving
We can solve this by using the equation we made above and solving it with algebra.
[tex]2x-6+2x=180\\4x-6=180\\4x=186\\x=46.5[/tex]
We know that x is equal to 46.5 degrees. We can check that by inputting it into the equation.
[tex]2(46.5)-6+2(46.5)=180?\\4(46.5)=186?\\46.5=46.5[/tex]
We've proven that our answer is correct by double checking,
Therefore the answer is 46.5!
Cheers!
What is the value of -2(x+5)
Answer:
-2x-10
Step-by-step explanation:
You have to use the distributive property to solve this problem. You multiply the things inside the parenthesis by -2. -2x+-2x5 = -2x+(-10) = -2x-10
Sandy threw a ball 86 inches. She
picked it up and threw it another 12
inches. Then she threw it another 10
inches. How many feet in total, did
Sandy throw the ball?
Due tomorrow
Translate triangle ABC using the vector ( 6, - 2).
Answer:
Move each vertex 6 to the right, and 2 to the bottom, rest of the triangle will come automatically. It should look similar to the one I drew.
After translation vertices of triangle ABC are (0, 3), (7, 3) and (6, -2).
What is the translation?A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.
The given vector is (6, -2).
From the given triangle vertices are (-6, 1), (1, 1) and (0, -4)
From the given vector, it shows 6 units right shift and 2 unit down shift.
Here, vertices of image are
(-6, 1)→(-6+6, 1-(-2))→(0, 3)
(1, 1)→(1+6, 1-(-2))→(7, 3)
(0, -4)→(0+6, -4-(-2))→(6, -2)
Hence, after translation vertices of triangle ABC are (0, 3), (7, 3) and (6, -2).
To learn more about the translation visit:
https://brainly.com/question/17485121.
#SPJ2
PLEASE HELP WITH THIS ONE QUESTION
Answer:
X = 0 or X = -2
Step-by-step explanation:
2x^4 + 16x = 0
x^4 + 8x = 0
x(x+2) (4+x^2_2x) = 0
x + 2 = 0
or
4+x^2_2x=0
Screenshot proidedpls answer quick
Answer: The price of the torch is 2 and 2/2.5 is 80% or 8/10th of the total price.
Step-by-step explanation:
x is the price of the battery
x + 1.50 is the price of the torch
x + (x + 1.50) is 2.50
x + (x + 1.50) = 2.50
2x = 2.50 - 1.50
2x = 1
x = 1/2
x = 0.50
The price of the torch is 2 and 2/2.5 is 80% or 8/10th of the total price.
find the inverse for the function f(x)= 14-3x/8-2x
Answer:
y = 8x/93
Step-by-step explanation:
To get the find the inverse function, swap x and y and solve the equation for x.
Three times the difference “2x minus 1” is the opposite of 9 times x. Solve for x.
Answer:
x = 1/5 - first box
Step-by-step explanation:
Let's interpret this by using what I call the "isolated-x method."
First, we can simplify whatever's being affected in the parentheses.
#1: 3 times (2x) is equal to 6x
#2: 3 times (- 1 | equal to -1) results in -3, or + -3
So now we're working with 6x - 3 = -9x.
Now, we'll add a positive 9x to the -9x, since it can be hugely helpful to have one side result in 0.
Now we're working with 15x (6x + our new 9x) - 3 = 0
Since we have "whole like terms" we can now easily add 3 to each side.
Now we're working with 15x = 3 (0 + our new 3)
We can finish by dividing each side by 3.
15x = 3 now turns into 5x = 1.
To get from 5 to 1 you can multiply 5 by its "multiplicative inverse," also known as 1/5.
Therefore, x = 1/5
Hopefully this helped a bunch! Tell me if you need any further assistance...
( :
What is slope I need help finding the slope please help me
The slope is 3 this is intergers solution the right side is positive and left side is negative
i need some help here plzzzzzzzzzz
NO LINKS!!!!!!
Answer:
I'm pretty sure it's A,B, and D.
Step-by-step explanation:
Evaluate the expression for the given variable values.
3∣m+2n∣2−(mn)2 if m=3 and n=−5
increase 400 in the ratio 3:5
decrease 400 in the ratio 3:5
Answer:
Given 3:5 = 3+5=10,
400*3/8=150,
400*5/8=250.
A previous survey of Washington residents showed that 18% of residents accessed a state park within the last 12 months. This year, the state would like to re-administer the survey, but wants to be sure the Margin of Error in their new study will be at most 4%. Assuming they believe the previous survey's results were reliable, how many samples should they take to ensure their Margin of Error is at most 4% if they plan to analyze the data using a 95% confidence interval
Using the z-distribution for the margin of error, it is found that 355 samples should be taken.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is given by:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
The estimate is of 18%, hence [tex]\pi = 0.18[/tex].
95% confidence, hence [tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
The minimum sample size is n for which M = 0.04, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.18(0.82)}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96\sqrt{0.18(0.82)}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.18(0.82)}}{0.04}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.18(0.82)}}{0.04}\right)^2[/tex]
[tex]n = 354.4[/tex]
Rounding up, 355 samples should be taken.
A similar problem is given at https://brainly.com/question/14936818
how do you find a missing fraction of a pie chart? (:
Answer:
Pasend pic
Step-by-step explanation:
Para I answer kocan someone pls help me … I really need help
Answer:
It's the last one!
Step-by-step explanation:
75% of the amount is 4.5 cm
Answer:
6
Step-by-step explanation:
Kendrick bought a laundry hamper online. It cost $9 plus 10% shipping and handling. What was the total cost?
Work Shown:
10% of $9 = 0.10*9 = 0.90
The shipping cost is $0.90, or 90 cents.
This means the total cost goes from $9 to $9.90
Please Help! I will give you a lot of points! (It's really the guess & check I'm having trouble with. Is there an easier way to find the standard divisor (d)?)
Four people pool their money to buy 60 shares of stock. The amount that each person contributes is shown in the following table. Use Adam's method with d=108 to apportion the shares of stock.
----Only pay attention to number 12 in the picture
Answer:
See below
Step-by-step explanation:
The given modifier solves this without further update.
See attached table
A theater group made appearances in two cities. The hotel charge before tax in the second city was $ 1500 higher than in the first. The tax in the first city was
3%, and the tax in the second city was 9.5%. The total hotel tax paid for the two cities was $580. How much was the hotel charge in each city before tax?
First city:
si
Х
5
?
Second city: 0
I’m
9514 1404 393
Answer:
first city: $3500second city: $5000Step-by-step explanation:
Let x and y represent the hotel charges in the two cities. The relations we are given are ...
x - y = -1500 . . . . . . second city hotel charge was 1500 more
0.03x +0.095y = 580 . . . . . total tax paid was 580
Using the first equation, we can write an expression for x:
x = y -1500
Substituting that into the second equation gives ...
0.03(y -1500) +0.095y = 580
0.125y = 625 . . . . . . . add 45 to both sides and simplify
y = 5000 . . . . . . . . . . multiply by 8
x = 5000 -1500 = 3500
The hotel charges were ...
First city: $3500
Second city: $5000
Which of the following best describes the equation below?
y^2=x
A.
both a relation and function
B.
function only
C.
neither a relation nor a function
D.
relation only
Answer:
I believe it's a relation
Answewant to be allies?
Step-by-step explanation: lol
-5(X+2)=35 APPLY THE DISTRIBUTIVE PROPERTY
Hello!
-5(x+2)=35
-5x-10=35
-5x=35+10
-5x=45
x=-9
Hope it helps!
~Just a determined gal
#CarryOnGainingKnowledge
[tex]MysteriousNature[/tex]
Answer:
x = -9
Step-by-step explanation:
-5(x + 2) = 35
~Distribute
(-5 * x) + (-5 * 2) = 35
~Simplify
-5x - 10 = 35
~Add 10 to both sides
-5x = 45
~Divide -5 to both sides
x = -9
Best of Luck!
The following accounts appear in the ledger of Monroe Entertainment Co. All accounts have normal balances.
Accounts Payable $1,500 Fees Earned $3,600
Accounts Receivable 1,800 Insurance Expense 1,300
Prepaid Insurance 2,000 Land 3,000
Cash 3,200 Wages Expense 1,400
Drawing 1,200 Capital 8,800
Total assets are
a. $10,000
b. $9,800
c. $9,700
d. $8,000
The total assets of Monroe Entertainment Co. are $8,000. Option D is correct.
An asset in business is defined as any form of resources owned by an individual or controlled by a business enterprise.From the given account that appears in the ledger of Monroe Entertainment Co, the assets include the account receivables, Land, and Cash.
Taking the sum of the given assets to get the total asset.
Total assets = account receivables + Land + Cash
Total assets = $ 1,800 + $3,000 + $ 3,200
Total assets = $8,000
Hence the total assets of Monroe Entertainment Co. are $8,000
Learn more on assets here: https://brainly.com/question/23046859
Which of the following correctly describes the graph?
Answer:
C is correct
Step-by-step explanation:
The x and y axes are linear, the plot is linear. The constant rate of change is assured with those conditions.
License plates in the great state of Utah consist of 2 letters and 4 digits. Both digits and letters can repeat and the order in which the digits and letters matter. Thus, AA1111 and A1A111 are different plates. How many possible plates are there?
Answer:
Step-by-step explanation:
The correct option is 3. Step-by-step explanation: It is given that License plates in the great state of Utah consist of 2 letters
Suppose y varies directly with x. If y=16 when x= 8, find x when y=10
Answer:
5
Step-by-step explanation:
By question,
=> y = kx
When y = 16 , x = 8
=> 16 = x(8)
=> x = 2
When y = 10 ,
=> 10 = 2x
=> x = 5
Answer:
5
it is the correct answer