Answers
Answer: 65 advance tickets
Step-by-step explanation:
Answer:
Advance tickets sold: 30
Same-day tickets sold: 25
Step-by-step explanation:
So, let's assume that the number of advance tickets is the variable [tex]x[/tex], and the number of same-day tickets is [tex]y[/tex].
Since the cost of advance tickets is $25 dollars, we can show that using [tex]25x[/tex], and the cost of same-day tickets is $35, we can show that with [tex]35y[/tex]. The total cost of the tickets is $1625 and the total number of tickets is 55.
Now, let's form a system of equations with this information.
[tex]25x+35y=1625\\x+y=55[/tex]
Step 1: Rearrange equation so that it solves for a variable
[tex]x+y=55[/tex] can be rewritten as [tex]y=-x+55[/tex]
Step 2: Substitute
[tex]y=-x+55[/tex], so, we can write this in the first equation as: [tex]25x+35(-x+55)=1625[/tex]
Step 3: Simplify
[tex]25x-35x+1925=1625\\-10x=-300\\x=30[/tex]
So the number of advance tickets sold are 30.
Now, let's solve for the number of same-day tickets sold.
Step 4: Solve for y
Using our equation from above ([tex]y=-x+55[/tex]), we can substitute the value that we solved for ([tex]x=30[/tex]) to solve for the variable y.
[tex]y=-30+55\\y=25[/tex]
The number of same-day tickets sold are 25.
Hope this helped ya :)
Related Questions
I have a math test tomorrow about Quadratics and Translations. Can somebody give me an easy-to-understand summary of these key topics?
Transformations with quadratic equations (shift left, right, up, down, reflections, etc.), how to find the axis of symmetry and vertex by the equation, how to find domain and range from a graph, telling if its a quadratic equation by 1st and 2nd difference and anything else related. Also please help me because when creating tables with the equation, the negatives I struggle with for example: y=x^2-4x-6 and substituting -2 it gets super confusing. I WOULD GIVE OUT MORE POINTS but sometimes ppl put bad responses SO PLEASE HELP ME CORRECTLY!! THANK YOU SO MUCH!
Answers
Quadratic equations are polynomial equations of degree 2. They can be written in the form ax² + bx + c = 0, where a, b, and c are constants. The graph of a quadratic equation is a parabola.
Transformations involve shifting or reflecting the graph of a quadratic equation. The most common transformations are shifting the graph left or right (by adding or subtracting a constant from x), shifting the graph up or down (by adding or subtracting a constant from y), and reflecting the graph across the x-axis or y-axis.
How to explain the mathematical termsThe axis of symmetry is a vertical line that divides the parabola into two symmetrical halves. The equation of the axis of symmetry for a quadratic equation of the form y = ax² + bx + c is x = -b/2a.
The vertex is the point on the parabola where it reaches its maximum or minimum value. The vertex of a quadratic equation of the form y = ax^2 + bx + c is (-b/2a, c - b²/4a).
The domain of a quadratic equation is the set of all real numbers for which the equation is defined. The range is the set of all possible y-values that the equation can take. You can find the domain and range of a quadratic equation by looking at its graph.
In recognizing quadratic equations, you can tell if an equation is quadratic by looking at the powers of the variables. A quadratic equation will always have a variable raised to the power of 2.
When substituting negative numbers into a quadratic equation, it can be helpful to use parentheses to avoid confusion. For example, to evaluate y = x² - 4x - 6 at x = -2, you would write y = (-2)² - 4(-2) - 6 = 16 + 8 - 6 = 18.
Learn more about quadratic on
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Solve for r.
–142 = r − 953
r =
Answers
Answer:
811
explanation.
142=−953−142+953=−953+953
which number line shows the solution to the inequality?
Answers
Answer:
3rd point see explanation
Step-by-step explanation:
y-2<-5
y-2+2<-5+2
y<-3
Could some on help me? Please.
Answers
Answer:
Step-by-step explanation:
Infinitely many.
The two equations are the same yet formatted differently. Because these lines will overlap each other, the answer is infinitely many.
A road crew can repave 1/30 miles of road each hour. They must repave a road that is 2/5 miles long. How long will it take the crew to repave the road?
Write your answer in simplest form.
Answers
Total length of road: 2miles/5
Amount repaved per hour: 1/30
Solving using the unitary method:
A triangular prism is shown below.
What is the surface area of the triangular prism?
A 580 square ft
B 640 square ft
C 840 square ft
D 960 square ft
Answers
1.) 25 - 3x = 88
2.) -11 = 7 - x
3.) 95 = -4 + 33x
Answers
Answer: hope this helps ♡
1.) x = -21
2.) x = 18
3.) x = 3
Step-by-step explanation:
(minus&minus = plus) (minus&plus = minus) (plus&minus = minus)
1.) 25 - 3x = 88
25 - 25 - 3x = 88 - 25
-3x = 63
-3x ÷ 3 = 63 ÷ 3
-x = 21 → x = -21
2.) -11 = 7 - x
-11 - 7 = 7 -7 -x
-18 = -x
18 = x → x = 18
3.) 95 = -4 + 33x
95 + 4 = -4 + 4 + 33x
99 = 33x
99 ÷ 33 = 33x ÷ 33
3 = x → x = 3
[tex] \text{1 ] 25 - 3x = 88 }[/tex]
[tex] \rm{↣25 - 3x = 88} \\ \rm↣- 3x= 88 - 25 \\ \rm↣- 3x = 63 \\ \rm↣x = \cancel \frac{63}{ - 3} \\ \underline{ \underline{\rm ↣\purple{ \: x = -21 \: }}}[/tex]
[tex] \: [/tex]
_________
[tex] \text{2 ] -11 = 7 - x }[/tex]
[tex] \rm \: ↣-11 = 7 - x \\ \rm↣ -11 - 7 = -x \\ \rm↣ \cancel- 18 = \cancel -x\\\underline{ \underline{ \rm↣ \pink{x = 18}}}[/tex]
[tex] \: [/tex]
_________
[tex] \text { 3 ] 95 = -4 + 33x }[/tex]
[tex] \rm \: ↣ 95 = -4 + 33x \\ \rm↣ 95 + 4 = 33x \\ \rm↣ 99 = 33x \\ \rm ↣ \cancel \frac{99}{33} = x \\ \rm ↣3 = x \\ \underline{ \underline{\rm \color{hotpink}↣x = 3}}[/tex]
[tex] \: [/tex]
━━━━━━━━━━━━━━━━━━━━━━━
hope it helps:)
Heather spent $12.50 for tickets to the school play. The equation below can be used to find x, the number of tickets that Heather bought. 2.50 � = 12.50 2.50x=12.50 How many tickets did Heather buy? Show your work or explain your answer.
Answers
Hello,
It's easy, you can use the multiply, so you must have 5 tickets for getting $12.50 so here's the equation : 2.50 x 5 = 12.50.
PS : Sorry about my english, don't hesitate to ask me again.
How many degrees is angle 7?
Answers
Answer:
42°
Step-by-step explanation:
This is defined as a transversal in geometry, where one line intersects two straight lines.
It is given that one of the angles is 42°. Let the angle that measure 42° be denoted as ∠42.
∠4 ≅ ∠42 based on the alternate interior angles theorem.
∠4 ≅ ∠7 based on the vertical angles theorem.
Therefore, ∠42 ≅ ∠7 based on CPCTC.
Therefore,
m∠7 = 42°.
~
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**URGENT**
Bobby has $5b dollars in his pocket. He goes to the mall and spends $23b on a new shirt, $16 on a hat, and $8 on lunch. How much money does Bobby have left?
I NEED the expression and the answer
Answers
Answer:this question does not make sense to fix it and ask again
Step-by-step explanation:
PLEASE HURRYYY!!!! I WILL MARK BRAINLIEST IF IT'S RIGHT!!!
Simplify.
y⁵ · y³ ÷ y²
Answers
Step-by-step explanation:
Y^5 * Y^3 / Y^2 = Y ^(5+3 -2) = Y^6
Rewrite the division as a fraction.
[tex]\dfrac{y^5\times y^3}{y^2}[/tex]
Multiply y⁵ by y³ by adding the exponents.
[tex]\dfrac{y^8}{y^2}[/tex]
Cancel the common factor of y⁸ and y²
[tex]\bold{y^6}[/tex]
Which is a correct classification for this triangle?
Responses
acute triangle
equiangular triangle
right triangle
obtuse triangle
Answers
please help. i dont understand
Answers
Answer: Look at the key, count all of the shapes on the top by matching them with the key. Then look at the key again and the answers and find what matches.
please help me fast to please and if you get it right I will mark you as brainlyst and plut 15 poing please I beg you fast
Answers
Answer:1.5
Step-by-step explanation:
Could someone please help?
Answers
Answer:
25 gallons35 gallonsStep-by-step explanation:
You want the number of gallons of gas used by car 1 at 25 mpg and car 2 at 40 mpg when the total gas used for driving 2025 miles is 60 gallons.
SetupLet x represent the number of gallons used by car 2 at 40 miles per gallon. Then the gas used by car 1 is (60 -x). The number of miles driven is the product of miles per gallon and gallons used.
25(60 -x) +40x = 2025 . . . . total miles driven
SolutionSimplify the equation:
1500 +15x = 2025
15x = 525 . . . . . . . . . . subtract 1500
x = 35 . . . . . . . . . . divide by 15
60-x = 25 . . . . . gallons used by car 1
The first car used 25 gallons; the second car used 35 gallons.
__
Additional comment
The first car drove 25·25 = 625 miles; the second car drove 40·35 = 1400 miles.
nathan buys 2 baseball tickets for 15 dollars each and 2 lunches for 3.50 how much money does he spend all together
Answers
Answer:
2*30=15+2*3.5=37%
Step-by-step explanation:
Answer:
He spends $37 each.
Step-by-step explanation:
If you add together the spent money then you get $37:
$30 + $7 = $37
help ty..:)))))))))............................................
Answers
Answer:
3 times more
Step-by-step explanation:
mangos: m = 108
portugals: p
oranges: o = 3p
108 + p + 3p = 540
108 + 4p = 540
4p = 540-108 = 432
p = 432/4 = 108
o = 3p = 3(108) = 324
324/108 = 3 there are 3 times more oranges than portugals
Answer:
1620
Step-by-step explanation:
540 X 3 = 1620
Calculate the volume of a cone with a height of 6 inches and a diameter of 6 inches.
Leave your answer in terms of PI
Answers
Answer: Volume ≈ 56.55
Step-by-step explanation:
56.54867 is the answer, but I rounded it. I hope this helped! :)
Answer:
18π cubic inches
Step-by-step explanation:
First, we need to find the radius of the cone, which is half of the diameter.
radius = diameter/2 = 6/2 = 3 inches
The formula for the volume of a cone is:
V = 1/3 × π × r^2 × h
where r is the radius of the base of the cone, and h is the height of the cone.
Substituting the values we get:
V = 1/3 × π × 3^2 × 6
V = 1/3 × π × 9 × 6
V = π × 18
Find the measure of ∠YOZ by answering the questions.
1. Find the measure of ∠WOV. Which angle relationship did you use? (3 points)
2. Now find the measure of ∠YOZ. Which angle relationship did you use? (3 points)
3. Check your answer by using another strategy to find the measure of ∠YOZ. Describe your strategy, and show that it gives the same measure for ∠YOZ. (4 points)
Answers
Answer:1. The measure of ∠WOV is 60°. You would use complementary angles that are adjacent (∠WOV, and ∠XOW)
2. The measure of ∠YOZ is 60°. You would use the vertical angles that are non-adjacent (∠WOV, and ∠YOZ). These two angles are congruent so they would have the same measure. These angles combined also create supplementary angles
3. Another way to find the measure of ∠YOZ would be to make/write an equation and solve for x. For example, (3x+30)°=60°. x would equal 10 because 10x3=30+30=60°
Step-by-step explanation:
1. Since a complementary angle would equal 90°, simply subtract 30° from 90° resulting in 60°.
2. Because vertical angles are congruent and (∠WOV, and ∠YOZ) are a pair of them, they equal the same as each other so they're both 60°.
3. You can make any equation with x included as long as it equals 60° mine was just an example you can make your own like 10x+10=60 or 4x+20=60. Also to create your equation you also need to use the angle fact of the vertical angles
the question is below
Answers
explanation 4x6 / 2 =5 5+5=10 8x6=48 48+10=58
Answer58
Step-by-step explanation:
The variables x and y have a proportional relationship, and y=5 when x=8
Which equation represents this relationship
A- y=8/5x
B- y=13x
C- y=5/8x
D- y=40x
Answers
Answer:
C y = 5/8 x
Step-by-step explanation:
y = kx
5 = k × 8
k = 5/8
y = (5/8)x
Alyssa plants 1/5 of a row in her garden every 2/3 of an hour.
How many rows does Alyssa plant per hour?
A-- 3 1/3
B-- 2/15
C-- 7 1/2
D-- 3/10
A certain brand of coffee costs $6.99 for 24.2 ounces. What is the unit rate?
Enter your answer, rounded to the nearest cent, in the box.
$____ per oz.
Answers
Answer:
B for alyssa : $0.29 per oz, or 29 cents per oz.
Step-by-step explanation:
find common denominator
1x3=3 5x3=15 so 3/15
2x5=10 3x5=15 so 10/15
To find a unit rate, divide the numerator AND denominator by the denominator. The rate is $6.99/24.2 ounces. We will divide $6.99 by 24.2, and 24.2 ounces by 24.2. The answer will be $0.288843/1 ounce. If we round, it will be $0.29/1 ounce.
B for Alyssa: $0.29 per oz or 29 cents per oz
HELP PLEASEE!!
What is the sum of -2x³ + x-3 and x³- 3x - 4?
(a) Show your work.
(b) Is the sum of -2x³ + x-3 and x³-3x - 4 equal to the sum of x³ - 3x - 4 and
-2x³ + x-3? Explain your answer.
Answers
Answer:
a) the result is -X³-2x -7
b) no
who here thinks radiodust from hazbin hotel is hot
Answers
Answer: I came here for math then I found this
Answer:
Sorry but NO
Step-by-step explanation:
Rewrite each expression using the distributive property.then combine like terms if possible
2(x+3)-6(x+3)
Answers
Answer:
2x+6-6x-18
-4x-12
Step-by-step explanation:
Your first distributing then your combining like terms,finally you cannot evaluate the answer anymore.
Mathematics 20 points!
Please Say A) B) C) D) as your answer
Answers
8*3*5= 120
6*2*10= 120
Answer:
Its B
Step-by-step explanation:
8x3x5 = 120
10x2x6= 120
Btw someone please answer my question
40 PTS!!! On the following composite figure, all angles are right angles. All short edges of the figure have a measure of 1.5 centimeters. All long edges have a measure of 3 centimeters. Find the area of the figure. Explain or show how you got your answer.
Answers
Answer:
27
Step-by-step explanation:
cut the shape into 3 rectangles and one square
3 × 1.5 = 4.5
3 × 1.5 = 4.5
3 × 1.5 = 4.5
3 × 1.5 = 4.5
3 × 3 = 9
4.5 + 4.5 + 4.5 + 4.5 + 9 = 27
Cooper was out at a restaurant for dinner when the bill came. His dinner came to $28. After adding in a tip, before tax, he paid $33.32. Find the percent tip.
Answers
Answer:
19%
Step-by-step explanation:
Percentage tip = (Tip/Dinner cost) x 100
Percentage tip = ($5.32/$28) x 100
Percentage tip = 0.19 x 100
Percentage tip = 19%
Therefore, Cooper gave a 19% tip on his dinner.
Answer: 19%
Step-by-step explanation:
Select all of the terms that apply to the shape. // 50 points :) // ANSWER ASAP PLEASE!!
Answers
Answer:
Ok
Step-by-step explanation:
hexagon
regular polygon
Pentagon
Answer:
hexagon
Pentagon
Step-by-step explanation: :/
Please help me ! i need this done now!
Answers
Answer is 10 (B)