Determine the equations you would use to represent the situation.
You sold 27 tickets total. Some of the tickets were student tickets and the rest were adult tickers.
You collected $170 selling the tickets. If the student tickets cost $5 and the adult tickets cost $10.
how many student tickets did you sell?
Answer:
You sold 20 student tickets.
Step-by-step explanation:
Given that:
Total tickets sold = 27
Total amount collected = $170
Cost of student ticket = $5
Cost of adult ticket = $10
Let,
x be the number of students tickets sold
y be the number of adult tickets sold
x+y = 27 Eqn 1
5x+10y=170 Eqn 2
Multiplying Eqn 1 by 10
10(x+y=27)
10x+10y=270 Eqn 3
Subtracting Eqn 2 from Eqn 3
(10x+10y)-(5x+10y)=270-170
10x+10y-5x-10y=100
5x=100
Dividing both sides by 5
[tex]\frac{5x}{5}=\frac{100}{5}\\x=20[/tex]
Hence,
You sold 20 student tickets.
Plzz answer this question properly step by step
Answer:
54°
Step-by-step explanation:
∠A = 2x + 10, ∠C = 3x - 14
∠E + 266 = 360 (sum of angles around a point)
∠E = 360 - 266
∠E = 94°
AB is parallel to line BD. Lets draw a line cuts line AB and line BD to form ∠B and ∠D. Hence:
∠B + ∠D = 180° (sum of interior angles on the same side)
∠A + ∠B + ∠C + ∠D + ∠E = 540° (sum of angles in a pentagon)
2x + 10 + 3x - 14 + 94 + 180 = 540
5x + 270 = 540
5x = 540 - 270
5x = 270
x = 54°
Evaluate the expression for x = 2 and y = 4. Enter your answer in the box.
16x0 + 2x2 • y –1
Answer:
31
Step-by-step explanation:
PEMDAS
16(2) * 0.
32 * 0
=0
2(2) * 2
=8
8 * 4 - 1
32 - 1 = 31
Answer:
Its 6. Trust me.
Step-by-step explanation:
Explain the different ways it is possible to add two rational numbers and get a negative number.
EXPLAIN
!!!EXTRA POINTS IF YOU GET IT CORRECT!!!
Answer:
both numbers are negative
negative number is greater than the positive number
Step-by-step explanation:
In order to add two rational numbers and get a negative value, one of two scenarios should occur:
1- both numbers are negative.
2- negative number is greater than the positive number
please help fast will mark brainliest
Answer:
X=7
Step-by-step explanation:
Hope this helps, have a good day
mallory and meg attend the physics day for their school. their favorite rides were splash mountain and the centrifugal chamber. here are their stamped tickets at the end of the day. find the cost of each ride
Answer:
Splash Mountain = $7.25
Centrifugal Chamber= $5.25
Step-by-step explanation:
Click On Link For Work
In case of an emergency, the office has a calling list so everyone is called in the least amount of time. Each of the first 4 people on the list calls another 4 people on the list. Then, each of the people in the second group calls another 4 people on the list, and so on. The 4th group of people will make 256 calls. Is this statement accurate? Explain.
Select the correct choice and fill in the answer boxes to complete your choice.
A.
Yes. The 1st group is nothing, the 2nd group is nothing, and so on. The 4th group is which does equal 256.
B.
No. The 1st group is nothing, the 2nd group is nothing, and so on. The 4th group is which does not equal 256.
Answer:
A.Yes.1st group is nothing ,the 2nd group is nothing,and so on .The 4th group is which does not equal 256 is the correct answer
3(x + 10) + 6 = 3(x + 12)
Answer:
x = infinite amount of solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
3(x + 10) + 6 = 3(x + 12)
Step 2: Solve for x
Distribute 3: 3x + 30 + 6 = 3x + 36Combine like terms: 3x + 36 = 3x + 36Subtract 36 on both sides: 3x = 3xDivide 3 on both sides: x = xHere we see that x does indeed equal x. We can plug in any number x and it would render the equation true.
∴ x = infinite amount of solutions
Answer:
infinitely many solutions / all solutions
Step-by-step explanation:
you distribute 3x+30+6 = 3x+36combine like terms 3x+36 = 3x+36realise the 2 terms are the same so x can be anythingA business trip will be reimbursed $0.55 per mile. Mr. Jackson has a budget of $70 for the round trip. If he is traveling to a town 61 miles away, then will he be under or over? Prove your thinking.
Answer:
We know Mr. Jackson will have to pay 0.55 dollars per mile and that he's traveling 61 miles, so, if we want to know. how much will he pay, we can multiply the quantity of miles (61) per the cost of these:
0.55 * 61 = 33.55
So we know he will have to pay 33.55 dollars, and, as the travel is round, considering he will travell the same quantity of miles, he will pay twice
33.55 * 2 = $67.10
He has more budget than the needed for the travel
Answer:
Mr. Jackson will be under his budget.
Step-by-step explanation:
We know that Mr. Jackson has a budget of only $70 for the trip. We know that the trip will be reimbursed $0.55 per mile. Mr. Jackson is traveling 61 miles. Therefore, we need to multiply $0.55 by 61.
61 x 0.55 = $35.55
Since $35.55 is less than $70, he will be under his budget.
Hope this helps! :D
5)
How many solutions can be found for the linear equation?
3(x + 4) = 3x + 4
A)
no solution
B)
one solution
C)
two solutions
D)
infinitely many solutions
What is the y-intercept of -x + 4 = y? *
Answer:
y intercept: (0,4)
Step-by-step explanation:
10) It takes a sloth to 14 seconds to move 2 centimeters. How many centimeters does the sloth move per second? SHOW YOUR WORK. A) 7 B) C) 2 DJ 7 5
Answer:
A (7)
Step-by-step explanation:
14/2=7
Answer:
i think its a) 7
Step-by-step explanation:
From what i learned, to find the unit rate/slope you must do y/x or rise/run. In this case 14 is y and 2 is x. You divide 14 by 2 and get 7! Hope this helps! Brainliest would be much appreciated! <3
how do you write 7/10 as a decimal Can someone please help me!!
Answer:
0.7
Step-by-step explanation:
To get 7/10 as a decimal you simply divide 7 by 10 which gets you 0.7.
What is the value of the expression below when z = 9?
z2 +9z+10
Answer:
172
Step-by-step explanation:
Substitute z = 9 into the expression, that is
9² + 9(9) + 10 = 81 + 81 + 10 = 172
help pls! (it's a pic)
Answer: Choice C
x+y = 28
3x+4y = 100
===================================================
Explanation:
x and y are placeholders for nonnegative whole numbers.
Specifically,
x = number of three point questions
y = number of four point questions
Since we have 28 questions total, this must mean x+y = 28. That forms the first equation in our system of equations.
------------
Now let's form the second equation:
x = number of three point questions
3x = points we get from all the three point questions
y = number of four point questions
4y = points we get from all the four point questions
3x+4y = all points possible
3x+4y = 100 is the second equation
------------
So we have this system
[tex]\begin{cases}x+y = 28\\3x+4y = 100\end{cases}[/tex]
which fits the conditions in the instructions.
One number is five more than twice as much another number. The sum of the numbers is 56. Find the numbers.
The numbers are 17 and 39
We can use a system of equation to solve this
x=2y+5
x+y=56
Solving...
2y+5+y=56
3y=51
y=17
x=2(17)+5
x=39
PLZ HELP THAI IS DUE IN AN HOUR
Which pattern can we use to factor the expression? (x-1)2+(x-1)+4
y
What is the equation of the graphed line written in
standard form?
3
2+
1
X=-3
y=-3
O x + y = -3
Ox-y=-3
1 2 3 4 5 X
54-3-2-14
2
-3
N
4
Answer:
A) x = -3
the line is undefined
The equation of the graphed line written in slope-intercept form is x = -3
What is the Slope-Intercept form?The graphed line in slope-intercept form, y = mx + b
To Convert it into the standard form of the equation, ax + by = c.
Consider that the points be (0, 3) and (5,0).
A Slope exists how many units it brought to go vertically or horizontally.
Which Slope doesn't exist.
The y-intercept in slope-intercept form, y = mx + b
where, m = undefined
x = -3
Therefore, the correct answer is option (A), x = -3 because the line is undefined.
To learn more about slope-intercept form
brainly.com/question/12005129
#SPJ7
what are 5 triangle congruence theorems
PLEASEEE HELPPP!!!!
Which of the following relations is NOT a function?
A. ((0, 1), (1, 1), (2, 1), (3, 1))
B. {(0, 1), (0.2), (0, 3), (0,4)}
C. (0,0), (3, 4), (5, 6), (8, 9)}
D. {(0, 0), (2, 2), (4,4), (6, 6))
Answer:The answer is B cause the 0 repeats multiple times
Step-by-step explanation:
1. 3 cans of pudding costs $2.48 at Store A and 6 cans of the same pudding costs $4.50 at Store B. Which store has the better buy on these cans of pudding?
Answer:a
Step-by-step explanation:
Answer:
Store B because if you take 2.48 divided by 3 to figure out the cost per can aka one can it will be 0.826 repeating and that's for store A . While store B you take 4.5 divided by 6 to and get 0.75 per can so Store B is the best option since 0.75 is smaller than 0.826.
please help asap ill give brainliest if youre correct!!!
Answer: its B
Step-by-step explanation: i've done this test before
Answer:
the answer is b
Step-by-step explanation:
because i have done this question before
The length of a rectangle is 1 7/9in and its width is 3/4 of its length Find the area of this rectangle
Answer:
l = 16/9 inches and w = 3/4 * 16/9, which equals 4/3
Step-by-step explanation:
A=l*w
16/9 * 4/3 = 64/27 = 2 10/27 sq in
f(x) = 3x2 + 5x – 14
Find f(-3)
i need the answer for now
Step-by-step explanation:
3 ( _3 ) 2 + 5 ( -3 ) - 14 = _2
.........
2x+5=11 two step equations
Answer:
x=3
Explanation: 11-5=6
6/2= 3
Plug 3 into the equation and you get 2x3+5=11 which 2x3=6 and 6+5=11
Kai traveled home and made several stops and detours along the way, as shown by the graph.
Describe which intervals show which behavior. Drag letters for each interval to complete the statements.
Answer:
The graph increases if the line goes upwards. (The end of the segment is above the start of the segment)
The graph decreases if the line goes downwards. (The end of the segment is below the start of the segment)
The graph is constant if the line is horizontal. (The end of the segment is at the same height as the start of the segment)
Then:
The graph of the function is increasing in the segments c and e.
The graph of the function is decreasing in the segments a and f.
The graph of the function is constant in the segments b and d.
help me please I dont know the answer and I am cleaning the house for my mom
17/20 = t + (- 13/20)
t = 17/20 + 13/20
t = 30/20
t = 1.5
Need help on this one. Which knot is the correct one that would be able to unknot itself
Answer:
7 6
Step-by-step explanation:
Answer:
i think it 7 6
Step-by-step explanation:
The sphere shown has a radius of 3.5
inches. Find the volume
Answer:
V
≈
179.59in³
Step-by-step explanation: