The Montague family and their neighbors the Capulets attended the school play together. The Montagues bought two adult tickets and three student tickets for $16. The Capulets purchased three adult tickets and two student tickets for $19. How much was each adult and student ticket?
Answer:
The cost for adult tickets be represented by x = $5
The cost for student tickets be y = $2
Step-by-step explanation:
Let the cost for adult tickets be represented by x
the cost for student tickets be y
The Montague family and their neighbors the Capulets attended the school play together. The Montagues bought two adult tickets and three student tickets for $16.
= 2x + 3y = 16... Equation 1
The Capulets purchased three adult tickets and two student tickets for $19.
3x + 2y = 19 ..... Equation 2
How much was each adult and student ticket?
2x + 3y = 16... Equation 1
3x + 2y = 19 ..... Equation 2
We solve using Elimination method
Multiply Equation 1 by 2 and Equation 2 by 3 to eliminate u
4x + 6y = 32..... Equation 3
9x + 6y = 57.... Equation 4
Subtract Equation 4 from 3
-5x = -25
x = 25/5
x = $5
2x + 3y = 16... Equation 1
Since x = $5
2($5) + 3y = 16
10 + 3y = 16
3y = 16 - 10
3y = 6
y = 6/3
y = $2
Therefore:
The cost for adult tickets be represented by x = $5
The cost for student tickets be y = $2
The deli charges $4.50 for a salad weighing 3 pounds and $6.00 for a salad weighing 4 pounds. What EQUATION can be used to represent the cost of the salad, y, for x pounds of salad?
Answer:
y = 1.5x
Step-by-step explanation:
Charge for 3 pounds of salad is $4.50
Charge per pound is thus 4.5/3 = $1.5
Now, we want to write an equation that can be used to represent the cost of salad y for x pounds of salad
Mathematically, that will be;
y = 1.5x
please help me with these 2 questions, please show work
Answer:
5x - 4 = 11
1/2x + 15 = 9
Step-by-step explanation:
I dont exactly know how u would show work.
If it says something is less than a number, then it will be at the back of the equation. So skip that part and u will see it says five times a number. The number is unknown therefore it will a variable (i chose x to be the variable). 5 times x is 5x. Minus the 4 would be 5x - 4. Then it says the equation equals 11. So 5x - 4 = 11.
If it says something is more than a number, it can be on either side of the equation using the commutative property of addition. But if we want to consider it being like subtraction, then it also will be in the back of the equation. A half is one over two (1/2). A half of x is 1/2x. Plus the 15 would be 1/2x + 15. It then states that the equation equals 9. So 1/2x + 15 = 9.
Is each number a solution of y - 5 > 12
Answer:
Not sure what exactly you're asking here but if you want to solve for Y, you add 5 to both sides. The answer for that is Y > 17.
Step-by-step explanation:
exponential form of 154034
Answer:
1.54034×10^5
Step-by-step explanation:
7 m
10 m
7 m
9 m
34 m
how do I find the area?
Answer:
you multiply all of those answers
Step-by-step explanation:
Type the numerical answer ONLY. (no spaces)
If the interior angle of a triangle are (x+1), (2x-2), (3x-5), find the measure of the largest angle?
Answer:
98
Step-by-step explanation:
Mathematically, when we add all the angles of a triangle, we get 180
Thus;
x + 1 + 2x-2+ 3x-5 = 180
6x-6 = 180
6x = 186
x = 186/6
x = 31
so the measure of the biggest angle is 3x -5
= 3(31) + 5 = 93 + 5 = 98
Is this answer to the question correct?
Answer:
y is correct but x is not
Step-by-step explanation:
because x+ 118°=180°[ co- interior angle ]
When a driver needs to stop a car, the approximate stopping distance d(in feet) is given by the formula: d=0.05v^(2)+2.2v, where v is the speed of the car (in miles per hour). Suppose a car travels 200 feet before stopping(d=200). How fast was the car traveling?
Step-by-step explanation:
The approximate stopping distance d(in feet) is given by the formula :
[tex]d=0.05v^2+2.2v[/tex] ...(1)
Where
v is the speed of the car in mph
We need to find the speed of the car when the distance is 200 feet
Put d = 200 in equation (1)
[tex]0.05v^2+2.2v=200\\\\0.05v^2+2.2v-200=0[/tex]
It is a quadratic equation. Divide the above equation by 0.05.
[tex]v^2+44v-4000=0[/tex]
The solution of the above equation is given by :
[tex]v=\dfrac{-44\pm \sqrt{44^2- 4(1)(-4000)} }{2(1)}\\\\v=\dfrac{-44+ \sqrt{44^2- 4(1)(-4000)} }{2(1)},\dfrac{-44- \sqrt{44^2- 4(1)(-4000)} }{2(1)}\\\\v=44.96\ ft/h, -88.96\ ft/h[/tex]
Since, 1 mph = 5280 ft/hour
44.96 ft/h = 0.00851 mph
-88.96 = -0.0168 mph
Hence, this is the required siolution.
The stadium has 53,000 seats seats sell for $42 in section 8 $36 in section B $30 in section C the number of seats in this in section 8 equals the total number of seats in section BNC supposed to stadium takes in 1,997,400 from each sold out I meant how many seats does each section hold
Answer:
Section A = 26,500 seats
Section B = 14,900 seats
Section C = 11,600 seats
Step-by-step explanation:
Total seats = 53,000
Total revenue = 1,997,400
Section A seat = $42
Section B seat = $36
Section C seat = $30
The number of seats in this in section A equals the total number of seats in section BNC
A = B + C
A + B + C = 53,000 (1)
42A + 36B + 30C = 1,997,400 (2)
Substitute A = B + C into (1)
A + B + C = 53,000
B + C + B + C = 53,000
2B + 2C = 53,000
2(B + C ) = 53,000
B + C = 53,000 / 2
= 26,500
B + C = 26,500 (3)
Substitute B + C = 26,500 into (2)
42A + 36B + 30C = 1,997,400
Recall,
A = B + C
42( 26,500) + 36B + 30C = 1,997,400
1,113,000 + 36B + 30C = 1,997,400
36B + 30C = 1,997,400 - 1,113,000
36B + 30C = 884,400. (4)
Multiply (3) by 30
B + C = 26,500 × 30
30B + 30C = 795,000 (5)
36B + 30C = 884,400 (4)
Subtract (5) from (4) to eliminate C
36B - 30B = 884,400 - 795,000
6B = 89,400
B = 89,400/6
= 14,900
B = 14,900
From (3)
B + C = 26,500
C = 26,500 - B
= 26,500 - 14,900
= 11,600
A = B + C
= 14,900 + 11,600
= 26,500
Section A = 26,500 seats
Section B = 14,900 seats
Section C = 11,600 seats
Need help anyone know how to do this
Answer:
ΔABC has: AD=DB
AE = EC
=> DE is the median line of ΔABC
=> DE // BC
=> m∠AED = m∠ECF = 32°
.
Step-by-step explanation:
Answer:
∠ ECF = 32°
Step-by-step explanation:
DE is the midsegment of Δ ABC and is therefore parallel to the third side BC.
Since DE and BC are parallel lines, then
∠ ECF and ∠ AED are congruent ( corresponding angles ) , thus
∠ ECF = ∠ AED = 32°
Which function is nonlinear?
Answer:
c
Step-by-step explanation:
any equation that has a variable with an exponent (in this case x^4) is not linear
Determine which two values the following number is between.
A.
10.05 and 10.06
B.
10.06 and 10.07
C.
10.04 and 10.05
D.
10.07 and 10.08
Answer: A
Step-by-step explanation:
enter your answer as a decimal like this 4.23
the answer on there is wrong
Answer:
0.267
Step-by-step explanation:
if side c of a right triangle is called the hypothenuse, what are the other sides called
Answer:
The other sides are called legs.
Step-by-step explanation:
Right Triangles
They are a special type of triangles on which one of its internal angles is 90°. Since the sum of all internal angles is 180°, the sum of the other acute angles is 90°.
The longest side is called the hypotenuse and the other two sides are called legs.
The attached image shows a right triangle of hypotenuse c and legs a and b.
Evaluate 12.1v+ 11.7w when v=7 and w+8
Answer:
178.3
Step-by-step explanation:
Help me and you get Brainliest! + 20 pts! Cindy did an experiment. She started out with 700 bacteria cells. She found that the growth rate of the bacteria cells was 4.3%. Create an equation for the situation that would work for any time, x. Type your equation into Desmos to make a graph that represents her experiment. Take a screenshot that includes both the equation and the graph in Desmos. Paste the screenshot to this page or attach it separately to the assignment submission drop box
Answer:
Step-by-step explanation:
Answer:
This is an exponential function of the form
We will use the following
y for the number of bacteria at a given time
x for the time
a for the starting number of bacteria, which is 700
b for the base of the exponent
so lets find b, we need the following:
r, which will be our rate, which is 4.3% or 0.043, so
With this info, let's substitute, and get the equation as the answer:
Put that into desmos, (I attached a screenshot for you)
Step-by-step explanation:
HELP ASAP PLEASE WILL MARK BRAINIEST
Answer:
its the first one
Step-by-step explanation:
need help will mark brainliest
Answer:
a) -6+4k=4
4k=4+6 (transpose)
4k=10
k=5/2
b) 7p-3=-2
7p=1
p=1/7
c) 1/7=p/21
7p=21(cross-multiplication)
p=3
HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN
the graph of y= f(X) is shown below, what point could be used to find f(3)?
Answer:
Point A
Step-by-step explanation:
The long that would be used to find f(3) is the point that shows the value of y when x = 3.
Looking at the graph given, the only point that shows the value of y when x = 3 is point A.
When x = 3, y = 0.
Therefore, f(3) = 0.
HELP ME PLEASE WILL GIVE BRANLYIST!!!!!
Answer:
2
Step-by-step explanation:
It's up 20, right 10. 20 divided by 10 is 2. Therefore, the slope is 2
Evaluate p(x)=−3+4x when x=−2,0, and 5.
Answer:
p(-2) = -11
p(0) = -3
p(5) = 17
Step-by-step explanation:
Think of p(x) as a y. Just substitute the x values into the equation, and with some basic algebra, you should get your answer
p(-2) = -3 + (-8) = -11
p(0) = -3 + 0 = -3
p(5) = -3 + 20 = 17
Simplify
19 6/7
1 2/9
Answer:
use Math away, it would help, I'm in a hurry so I cannot give u the answer at the moment.
Step-by-step explanation:
Do I have a rare user? Just asking :)
Answer:
lol yes?
Step-by-step explanation:
Answer:
yes yes yes yes yes yes
A class conducts a survey about types of movies. 53 girls and 48 boys reported comedy as their favorite. 23 girls and 62 boys reported horror as their favorite. Find the probability of a boy from this school selecting horror as his favorite type of movie.
63 apparently
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RYAN RYAN I NEED YOR HELP HELP HELP HELP HELPPPPPPPPPP OR ANYONE HONESLTY
Answer:
$70
Step-by-step explanation:
Convert the percent. 175% = 1.75.
Multiply 40 * 1.75.
70
Which system has the same solution as the system of
equations shown?
3x + 2y = -5
2 + 3y = 5
O 6x+4y=-5
6x + y - 5
o
9x+6y=-15
4x + 6y - 10
O
6x+4y=-10
-6x + 9y - 15
6x+4y-- 10
6x + 9y - 5
Answer:
1
Step-by-step explanation:1
What is the measurement?
Answer:180-124= answer
Step-by-step explanation:I don’t have a caclator srry
How do I do this? Anyone know please help
the two shapes are similar but scaled differently
this ratio is 2:3 (EF:AB)
so to find y we’ll set this up
2/3= y/4.5
and solve for y
4.5(2/3) = y
y = 9/3
y = 3
Can someone help me with the PROGRAM “Tinkercad?”
Answer:
What is the issue?
Do you have an issue logging in?
Are you making something on a plot?