Answer:
number of general admission tickets sold = 32
Number of VIP tickets sold = 8
Step-by-step explanation:
Total Number of tickets = 40
Cost of general admission tickets = $20
Cost of VIP tickets = $30
Total revenue = $880
Let
x = number of general admission tickets sold
y = number of VIP tickets sold
The equations are:
x + y = 40 (1)
20x + 30y = 880 (2)
From (1)
x = 40 - y
Substitute x = 40 - y into (2)
20x + 30y = 880
20(40 - y) + 30y = 880
800 - 20y + 30y = 880
10y = 880 - 800
10y = 80
y = 80 / 10
= 8
y = 8
Substitute y = 8 into (1)
x + y = 40
x + 8 = 40
x = 40 - 8
= 32
x = 32
number of general admission tickets sold = 32
Number of VIP tickets sold = 8
round each number to the underline digit 729,465
Answer:
1. 325, 860
2. 729,576
8. 782,118
Step-by-step explanation:
I THINK
How are the rules for dividing two negative fractions related to the rules for multiplying
two negative fractions? Will the answer be positive or negative? Explain.
The relation between multiplying and dividing two negative fractions is needed.
When multiplying and dividing two negative fractions the answer will be always positive.
Let [tex]-\dfrac{a}{b}[/tex] be one fraction
and [tex]-\dfrac{c}{d}[/tex] be another fraction
Let us multiply them
[tex]-\dfrac{a}{b}\times -\dfrac{c}{d}=+\dfrac{ac}{bd}[/tex]
Let us divide them
[tex]\dfrac{-\dfrac{a}{b}}{-\dfrac{c}{d}}[/tex]
This can also be written as
[tex]-\dfrac{a}{b}\times -\dfrac{d}{c}=+\dfrac{ad}{bc}[/tex]
Since, multiplication and division are the inverse of each other the negative signs cancel each other and the sign is positive.
Hence, when multiplying and dividing two negative fractions the answer will be always positive.
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Solve the proportion. I need to show much work so a step by step explanation would help!
Answer:
Solution: x=5
Step-by-step explanation:
Equations
This is an equation in the form of a proportion or ratio:
[tex]\displaystyle \frac{2}{x+3}=\frac{5}{4x}[/tex]
To solve it, we eliminate the denominators by multiplying by both of them.
Multiply by (x+3)(4x):
[tex]\displaystyle (x+3)(4x)\frac{2}{x+3}=(x+3)(4x)\frac{5}{4x}[/tex]
Simplify both sides:
[tex](4x)*2=(x+3)*5[/tex]
Operate:
[tex]8x=5x+15[/tex]
Simplify:
[tex]3x=15[/tex]
Solve for x:
[tex]x=15/3=5[/tex]
Solution: x=5
The total cost to take the ferry to Greene Island is a $12 fee for the car plus $3 for each passenger in the car. The graph shows this relationship.
50
45
40
35
Cost of Ferry 30
(s)
25
20
15
10
5
0
1
5
09
2
3
4
Number of Passengers
How will the graph change if the car fee is changed to $10?
A. The y-intercept will shift up.
B. The y-intercept will shift down.
OC. The slope of the line will increase.
D. The slope of the line will decrease.
Answer:
B. The y-intercept will shift down
Step-by-step explanation:
Be sure to SHOW YOUR WORK!!! Tests submitted with no work will be given a ZERO!!! 1.) You are one of five people who have been hired to mow the lawn at the local college. Each week, the dimensions of the plot you are responsible to mow changes. The college conducts a lottery, and whichever number is drawn, represents the x value. Your plot has a length which is three more than seven times x and the width is four times x minus 2.
a.) What are the dimensions of your mowing plot? Length: ______________________________________ Width: ______________________________________
b.) What is the area of your plot (remember area = length x width)? Area: _________________________________________
c.) If x = 10 meters, how many square meters is your plot? (show steps)Area: _________________________________________
2.) Factor by grouping: xy− 4y + 7x − 28
Step-by-step explanation:
maybe if u add more brainly coins more ppl will come
3(x+-10)=5(2x+8) Honestly I hate math lol.
Answer:
- 10
Step-by-step explanation:
Step 1:
3 ( x - 10 ) = 5 ( 2x + 8 ) Equation
Step 2:
3x - 30 = 10x + 40 Multiply
Step 3:
- 30 = 7x + 40 Subtract 3x on both sides
Step 4:
- 70 = 7x Subtract 40 on both sides
Step 5:
x = - 70 ÷ 7 Divide
Answer:
x = - 10
Hope This Helps :)
im confused someone help
You deposited $100 in a savings account 3 years ago. The simple interest rate is 2.3%. How
much money is in the account after 3 years?
Answer:
Final Balance = 106.90$
Step-by-step explanation:
Using the simple interest formula I = prt.
The current balance after accumulated interest is B = I + p.
Given a principle of $100, time of 3 years, and interest rate of 2.3%.
I = (100$)(3y)(2.3%) = (100)(3)(2.3%) = (300)(2.3%) = (300)(0.023) = 6.90$
B (final balance) = 6.90$ + 100$ = 106.90$
What is the square root of two?
Answer:
4
Step-by-step explanation:
Answer:1.41421356237
Step-by-step explanation:
Whats 2 + 6? If the 2 is really a 7?
Answer:
13
Step-by-step explanation:
7 + 6 = 13
I need the answer ASP ILL GIVE EXTRA POINTS
NEED HELP ASAP BRAINLY IF CORRECT
Answer:
25r +30j = 460
r - j = 3
Step-by-step explanation:
Let r and j represent Riley's hours and Jace's hours, respectively. The equations could be ...
25r +30j = 460
r - j = 3
__
The solution is (r, j) = (10, 7).
A robot can complete 7 tasks in 2/3 hour.What is the unit rate for hours per task
Answer: The robot can complete 10.5 tasks per a hour because 7 times 2/3 you do the keep change flip
Which well then equal 7 times 3/2 which will then equal 21/10 or 10 1/2 or 10.5
Step-by-step explanation
Joana's printer can print 96 black and white pages in 4 minutes. If the ratio of pages printed to minutes is constant, how many minutes will it take the printer to print 240 pages
Answer:
10 minutes
Step-by-step explanation:
help me with this??
a function can be classified as one-to-one correspondence, one-to-many correspondence and many-to-one correspondence.
Mappings can be classified as one-to-one, one-to-many, and many-to-one
A mapping of a set of domain R to another set of domain X is expressed as:
f: X→ R where:
X is the domain
R is the co-domain
For a one-to-one mapping, all the elements of the domain R must have a unique element in the co-domain RFor a one-to-many mapping, an element of the domain R must have more than one element in the co-domain RFor a many-to-many mapping, all elements of the domain R must have a unique element in the co-domain RLearn more here: https://brainly.com/question/24138383
Evaluate - x - y - z when x = - 8, y = 6 and z = -4.
Is it
-6
-18
6
18
Plug in the values for x, y, and z.
- (-8) - (6) - (-4)
8 - 6 + 4
2 + 4
6
The answer is 6.
Hope this helps!
Find the measure of each angle. Assume the lines are parallel.
Answer:
2 = 67
3 = 113
4 = 67
5 = 113
6 = 67
7 = 113
8 = 67
Step-by-step explanation:
opposite angle have to equal 180 because if you combine them they just become the line.
since the lines are parallel, measurements will be the same for the bottom set of angles as they are the top set of angles.
A retiree has $200,000 to invest and needs to make $13,000 with her investments. If she can invest in government bonds at 6% or investment grade bonds at 8%, how much should she invest in each?
Answer:
She should invest 150,000 in government bonds and 50,000 in investment grade bonds
Step-by-step explanation:
Let the amount invested in government bonds be $y while the amount invested in investment bond be $x
Since total is $200,000
Then:
x + y = 200,000 ••••••(i)
Since 13,000 is what is expected to be earned, then this is like the interest.
thus;
6% of x + 8% of y = 13,000
6x/100 + 8y/100 = 13,000
Multiply through by 100
6x + 8y = 1300000 •••••••(ii)
From i, x = 200,000 - y
insert this into ii
6(200,000-y) + 8y = 1300000
1200000-6y + 8y = 1300000
2y = 1300000-1200000
2y = 100,000
y = 100,000/2
y = 50,000
but x + y = 200,000
thus, x = 200,000 - 50,000
x = 150,000
230.071 in expanded form
200+30+0+0.70+0.01
Hope it's right
Answer:
Expanded Notation Form:
200
+ 30
+ 0
+ 0.0
+ 0.07
+ 0.001
Expanded Factors Form:
2 × 100
+ 3 × 10
+ 0 × 1
+ 0 × 0.1
+ 7 × 0.01
+ 1 × 0.001
Expanded Exponential Form:
2 × 102
+ 3 × 101
+ 0 × 100
+ 0 × 10-1
+ 7 × 10-2
+ 1 × 10-3
Word Form:
two hundred thirty and seventy-one thousandths
Step-by-step explanation:
Finding the Zeroes of a Quadratic Function
x f(x) = −x2 + x + 6
−2 a
−1 4
0 b
1 6
2 c
a =
b =
c =
Answer:
-2 a
Step-by-step explanation:
Answer: stay steez up twin
Caffenine takes a certain amount of time to leave your system if you drink 3 cups of coffe in the morning the function that represents the amount of caffeine remaining in your body after drinking the coffe is given by g(t)=130(.8346)^t where t is the timein hours. how much caffeine remains in your body after 1 day. how much caffeine remains in your body after 2 days
Answer:
In 1 day, 1.70
In two days 0.022
Note; Unit was not given in the question, I would have included it
Step-by-step explanation:
Here, we are to calculate the amount of caffeine remaining in the body.
To calculate this, we simply substitute for the number of hours t in the equation.
In one day , we have 24 hours
So our substitution will be t = 24
Hence; for a day;
g(24) = 130(0.8346)^24 = 1.70
For two days, we have t = 48 hours
Thus; g(48) = 130(0.8346)^48 = 0.022
Plz help!
The Gazelle football team made 5 plays in a row where they gained
3 yards on each play. Then they had 2 plays in a row where they lost 12 yards on each play. What is the total change in their position from where they started?
Answer:
5 times 3 equals 15 so they gained 15 yards. 12 times 2 equals 24. 24 minis 15 equals 9.
Jenny has 3 guitars. Steve has 4 guitars. If the
ratio of guitars is 4:3, who is first in the ratio?
Answer:
Steve is first
Step-by-step explanation:
Steve is first in the ratio if the ratio of guitars is 4:3.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other. A set of data points can be used to observe the constant relationship. A set of data with a constant relationship between two values is a comparison of miles traveled to hours traveled. A special type of ratio is the comparison of two different quantities.
The general form of expressing a ratio between two quantities say 'a' and 'b' is a: b
Jenny has 3 guitars. Steve has 4 guitars.
The ratio is 4:3, which represents 4/3 or 4 parts Steve to 3 parts Jenny.
Hence, Steve is first in the ratio.
Learn more about the Ratio here:
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F (2) =
(please give an explanation i'm confused)
Answer:
I think it would be like f x2 so you would reorder the term and get 2f
Step-by-step explanation:
The bakery made 110 pumpkin muffins. They will be packed
in boxes with 8 muffins in each box. About how many boxes
will there be?
Answer:
118
Step-by-step explanation:
you should have learned this in 1st grade
Answer: 14 boxes
Step-by-step explanation:
Divide 110 by 8 and you get 13.75. You will then round up to the nearest hole number to make sure that almost all the boxes have 8 muffins in each.
Determine the intercepts of the line.
y= -3.6 +12
y-intercept:
X-intercept:
Need to know NOW
Answer:
y = 12
x = 10/3
Step-by-step explanation:
y = -3.6x + 12
From this equation, which is in slope intercept form (y = mx+b), we already know that b represents the y-intercept, so that means the y-intercept is 12.
To find the x-intercept, we need to make y equal 0 to find x. So:
0 = -3.6x + 12
-3.6x = -12
x = 3.33333 --> 3 1/3
x = 10/3
PLEASE HELP ME!! I WILL MARK YOU BRAINLIEST IF YOU ANSWER THIS CORRECTLY!
HeoeiejJSJJSJSJSKSKWKWKW
Answer:
0.27 or B (✿◠‿◠)
i need help w this math q, ill mark branliest
Answer:
I would say 17.6 miles
Step-by-step explanation:
30 miles in 2 hours but we wanna know how many miles in 1.7 hours, I simply divided 30 by 1.7 and got 17.6 miles.