Given :
Tickets cost $3 for students and $5 for adults.
A total of 125 people attended the concert for a total ticket sales of $475.
To Find :
The number of students and adults that attended the concert.
Solution :
Let, number of students and adults that attended the concert is x and y.
Mathematical equation of given conditions :
x + y = 125 ....1)
3x + 5y = 425 ....2)
Putting value of x from 1 to equation 2 is :
3( 125 - y ) + 5y = 425
375 - 3y + 5y = 425
2y = 50
y = 25
x = 125 - 25
x = 100
Therefore, number of students and adults that attended the concert is 100 ans 25 respectively.
Hence, this is the required solution.
Traveling along a path from A to B, what is the ratio of the change in y to the change in x?
A. 5/3
B. 4/7
C. 3/5
D. 2/3
Answer:
Option C. is correct
Step-by-step explanation:
Slope of a Line
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Please note the slope measures the ratio of the change in y to the change in x.
The points of the graph are A=(-3,-2) B=(7,4). Calculating the slope:
[tex]\displaystyle m=\frac{4-(-2)}{7-(-3)}[/tex]
[tex]\displaystyle m=\frac{6}{10}[/tex]
Simplifying by 2:
[tex]\displaystyle m=\frac{3}{5}[/tex]
Option C. is correct
Which equation is a point slope form equation for line AB?
y+1=−2(x−6)
y+2=−2(x−5)
y+6=−2(x−1)
y+5=−2(x−2)
Answer:
Option 2: y+2=−2(x−5) is the correct answer.
Step-by-step explanation:
We can see two points on the line A and B.
Their coordinates are:
A = (x1,y1) = (1,6)
B = (x2,y2) = (5,-2)
The point slope form is given as:
[tex]y-y_1 = m(x-x_1)[/tex]
Here m is the slope which is found using the formula
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Putting the values
[tex]m = \frac{-2-6}{5-1}\\m=\frac{-8}{4}\\m = -2[/tex]
Putting the value of slope
[tex]y-y1 = -2(x-x_1)[/tex]
Putting both points to get two forms of point slope form of equation
Putting (1,6):
[tex]y-6 = -2(x-1)[/tex]
Putting (5,-2):
[tex]y+2 = -2(x-5)[/tex]
Looking at the equations and options it can be concluded that
Option 2: y+2=−2(x−5) is the correct answer
What is the solution to the equation?
Pls help ASAP
Answer: 12 1/2
Step-by-step explanation:
its easy bruh what grade you in this is 6th grade stuff
8300 dollars is placed in an account with an annual interest rate of 6.5%. How much will be in the account after 14 years , to the nearest cent?
Answer:
bruh
Step-by-step explanation:
42
can someone please help me
Answer
7 or 5 or both
Step-by-step explanation:
so first, you know it has to be 7 or 5 because all the other numbers are already on the chart and it M was that then you would get the same output value. now you figure out the equation. thats all I can help you with because I am dumb but hope you can figure out the equation.
A nutrition label on a can of tuna fish states that every 1/4 cup of tuna has 1/2 gram of fat. How many cups of tuna are there for every gram of fat?
Answer: 1/2 cups
Step-by-step explanation:
Given that:
Every 1/4 cup of tuna has 1/2 gram of fat
How many cups of tuna are there for every gram of fat:
Let cup of tuna for 1 gram of fat = t
Hence, If
1/4 cup of tuna = 1/2 cup of fat
t tuna = 1 cup of fat
Cross multiply :
1/2 t = (1/4 * 1)
1/2 t = 1/4
t = 1/4 ÷ 1/2
t = 1/4 * 2/1
t = 2/4
t = 1/2
Hence, 1/2 cups of tuna for every gram of fat
Pls help i reall need help with this
Simplify Each
1. 3 - {7 - [8 + (7 - 3)] }
2. 12 - ( 3 - 4) - [8 - 6] + 5
3. - {2 - [7 - 8] + 2 - (1 - 3)}
4. 6 + 3
2 + 3
5. 4+5
- [ 8 - (245)]
1 - 4
Answer:
1.8
2.16
3.-7
5.-702
I didn't understand the 4th one
Answer:
1) 8
2) 16
3) -7
4) 14
5) 243
Step-by-step explanation:
For number 4 i just assumed you meant 6 + 3 + 2 + 3
Which equation represents the rectangular form of 5pi/6
Answer:
D, StartRoot 3 EndRoot x + 3 y = 0
Step-by-step explanation:
The equation which represents the rectangular form of 5pi/6 is √3x-y=0.
We are given that;
The expression 5pi/6
Now,
In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
The rectangular form of a polar point (r, θ) is given by (x, y) where x = r cos(θ) and y = r sin(θ).
Therefore, the rectangular form of 5π/6 is given by (x, y) where x = 5 cos(5π/6) and y = 5 sin(5π/6).
Using the unit circle, we can find that cos(5π/6) = -√3/2 and sin(5π/6) = 1/2.
Hence, the rectangular form of 5π/6 is (-5√3/2, 5/2).
Therefore, by the equation answer will be √3x-y=0.
To learn more about equations :
brainly.com/question/16763389
#SPJ4
Find the new price after the discount given. Round to the nearest cent if necessary.
$34.589 discounted 8%
Answer:
$31.82
Step-by-step explanation:
A line passes through (1, –5) and (–3, 7). a. Write an equation for the line in point-slope form. b. Rewrite the equation in slope-intercept form.
Answer:
Point-slope form: y + 5 = 13/-4 (x-1)
Slope-intercept form:
Step-by-step explanation:
Ok, so first to find the equation in point-slope form, you need to find the slope. So, the slope would be 7- (-5)/-3-1 , which is 13/-4. That is your slope, or m. Now, for point-slope form, you have the equation y - y1 = 13/-4 (x-x1). Now, you take one of your points, say (1, -5), and you put it into the equation. So your point-slope form equation would be y - (-5) = 13/-4 (x - 1). This would simplify to y + 5 = 13/-4(x - 1).
Now for slope-intercept form, you have m, the slope, which is 13/-4. Substituting that into the equation, you have y = 13/-4x + b. To find b, you substitute one of your coordinates into the equation. For example, (1, -5). Then you have -5 = (13/-4 * 1) +b. Simplify this, and you have b = -5+ 13/-4, which is -20/4 + 13/-4, which is -20/4 - 13/4 = -33/4. So your final equation is y = 13/-4x - 33/4.
Hope that helped.
What are the answers
Answer:
81 for the first blank and 12 for the second.
Step-by-step explanation:
The rule is divie or multiply by 9. (depending on what side its asking)
Mrs. Smith wants to purchase new markers for
her class. She compares prices at four different
stores, Which store sells markers for the lowest
price per marker?
A.Large lots:10 for $2.50
B.Pay less:20 for $4.00
C.office mart:30 for $5.50
D.save more:40 got $9.50
Answer:
off course D
Step-by-step explanation:
follow me say a thanks mark me branliest
EASY HIGH POINTS
In parallelogram WXYZ, the longer sides are three times the length of the shorter sides.
Parallelogram W X Y Z. The length of sides W Z and X Y are 12 inches.
If W Z = 12 inches, what is the length of ZY?
3
4
8
12
Answer:
D. 12
Step-by-step explanation:
12 by 3 is 36 and since its three times the length if you divide it by 3 it would be 12.
Answer:
4
Step-by-step explanation:
Solve the system of equations -2x – 4y = –26 and -3x – 3y = -12 by
combining the equations.
2x – 4y -26)
3x – 3y =-12)
- 2x
3x
- 4y
-Зу
= -26
12
try
0
+
0
y
Step-by-step explanation:
First u group them for example
-2x-3x-4y-3y
5+7=12
Convert 2x + 37y = 18 to point-slope form.
Answer:
x=−37/2 y+9
Step-by-step explanation:
2x+37y=18
2x+37y+−37y=18+−37y
2x=−37y+18
2x2=−37y+18/2
x=−37/2 y+9
Express this ratio in its simplest form.
240cm : 3.6m
A carpenter has 183 doorknobs in his workshop. Of those doorknobs, 95 are round and the rest are square. If he wants to place 9 square doorknobs in each bin, about how many bins would he need? The carpenter will need about bins.
Answer:
10 bins needed approximately
Step-by-step explanation:
Total door knobs = 183
Round door knobs = 95
Square door knobs = x
Total door knobs = Round door knobs + Square door knobs
183 = 95 + x
183 - 95 = x
88 = x
Square door knobs = x = 88
If he wants to place 9 square doorknobs in each bin, about how many bins would he need?
Divide total square knobs by square knobs in each bin
Total bins needed = Total square knobs / knobs in each bin
= 88 / 9
= 9.78
Approximately 10 to the nearest number of bins
Bins needed is approximately 10
(Wap) Urgent I need help with this question
Answer:
12.1
Step-by-step explanation:
In this question, we can use the pythagoras theorem to solve it.
the equation is [tex]\sqrt{11^{2}+5^{2} }[/tex] = slant height.
= 12.1
Jade buys a singing tie for $20 with 6% tax. How much does she pay?
A: $14.00
B: $26.00
C: $21.00
D: $1.20
Answer:
The answer is C:$21.00
Step-by-step explanation:
Mrs. Johnson earned $31,500.00 in salary this year. Her salary will increase by 10% next year. Mrs. Johnson is paid on a monthly basis. By how much will her monthly salary increase when she receives her raise?
Answer:
34650 dollars by next year
Step-by-step explanation:
Answer:
Step-by-step explanation31500x.10. 3150. 31500+3150. 34650. 34650/12 2887.50. 31500/12. : 2625. Difference per month 262.50
(please i need help)
Tiya flipped a coin 40 times. The coin landed heads up 16 times and tails up 24 times.
Part A: Based on the results, what is the experimental probability of the coin landing heads up? Show your work. (5 points)
Part B: What is the theoretical probability of the coin landing heads up? Show your work
Answer:
A) 16/40
B) P(H)= 0.4
Step-by-step explanation:
A) 16+24=40 is your denominator.
16 times it landed heads up, so 16/40
B) 16/40 as decimal (16 divided by 40) = 0.4
P= probability
(h)= (Heads up)
. Marilyn bought a Christmas ornament for each of her grandchildren. She spent $5.35 for each ornament and paid $4.50 in sales tax. The total bill came to $68.70. How many ornaments did she buy? Let n represent the number of ornaments she purchased.
Answer:
she purchased 7 ornaments
Andre and Elena knew that after 28 days they would have 2²⁸ coins, but they wanted to find out how many coins that actually is. Andre wrote: 2 28 = 56. Elena said, "No, exponents mean repeated multiplication. It should be 28 28, which works out to be 784." Do you agree with either of them? Explain your reasoning.
Answer:
I agree with none of them
Step-by-step explanation:
Given
[tex]Expression= 2^{28}[/tex]
[tex]Andre: 2 * 28 = 56[/tex]
[tex]Elena: 28 * 28 = 756[/tex]
Required
Who is correct?
[tex]Expression= 2^{28}[/tex]
When we apply law of indices to the above, it gives 2 multiplies by itself in 28 places
i.e.
[tex]Expression= 2^{28}[/tex]
[tex]Expression= 2*2*2*..........*2[/tex] ---- in 28 places
Andre's interpretation of the expression is incorrect as:
[tex]2^{28} \neq 56[/tex]
Also, Elena's expression is incorrect.
This is so, because
[tex]2^28 \neq 28*28[/tex]
Hence, both of them are incorrect and I agree with none of them
1) Mark's new car can drive 725 miles in 8
hours. How many miles can Mark's car drive in
an hour? How many miles can his car drive in
3 hours?
Answer: 271 miles
Step-by-step explanation:725÷8 to find the MPH which is 90.625. Then
multiply 90.625 by 3 which is 271.
A digital thermometer costs $599.99. The company offers a $200 rebate. What percent of the cost is
the rebate?
Answer:
33.33%
Step-by-step explanation:
600/3 is 200 which means 1/3 of it is rebated
help please this is also do very very soon thank you!!!
Answer:
700
Step-by-step explanation:
100:2
???:14
14*100
=1400
1400/2
=700
Answer:
The answer is 650
Step-by-step explanation:
You need to find the slope.
i took the points (2, 100) and (4, 200)
Then i put it into the slope formula which is y2 - y1/ x2- x1
I got that the slope is 50. So every two hours 5o millmeters for water drops. So now at 12 hours on the graph it says 600 millimeters of wate has already dropped. The graph is at intervals of two. Now at the next point it will be 14. So just add 50 to 600 and you get 650. So at 14 hours 650 water should have dripped
pls mark brainlest
whats 10 divided by 489
Answer:
0.02044989775
Step-by-step explanation:
True or False: A check is a document that directs the bank to deduct money from your account and make a payment
Answer:true
Step-by-step explanation: An order to a bank to pay a stated sum from the drawer's account, written on a specially printed form.
HELP ASAP! Relations and Functions!!! Giving brainliest!!! !
Answer: its a relation only :))
Step-by-step explanation: bc of that rule saying that there is only one output for every input there for not a function ( not a one to one function)
Simplify.
[tex]\sqrt{44}[/tex]