Answer:
The price of senior citizen ticket is $10.01 and the price of student ticket is $6.02.
Step-by-step explanation:
Let the price of senior citizen ticket be $x
and the price of student ticket be $y.
Now, from the question
The school sold 2 senior citizen tickets and 5 student tickets for a total of $50.12. That is
2x + 5y = 50.12 ...... (1)
Also from the question,
The school took in $78.12 by selling 6 senior or citizen tickets and 3 student tickets. That is
6x + 3y = 78.12 ...... (2)
Now, we will bring the two equations together and solve simultaneously
2x + 5y = 50.12 ...... (1)
6x + 3y = 78.12 ...... (2)
From equation (2)
6x + 3y = 78.12 ...... (2)
Make y the subject of the formula
Then,
3y = 78.12 - 6x
∴y = 26.04 - 2x ...... (3)
Substitute the value of y into equation (1)
2x + 5y = 50.12 ...... (1)
2x + 5(26.04-2x) = 50.12
2x + 130.2 - 10x = 50.12
Collect like terms
2x - 10x = 50.12 - 130.2
-8x = -80.08
8x = 80.08
x = 80.08 / 8
x = 10.01
Now, to determine y, substitute the value of x into equation (3)
y = 26.04 - 2x
y = 26.04 -2(10.01)
y = 26.04 - 20.02
y = 6.02
∴ x = 10.01; y = 6.02
Recall that, the price of senior citizen ticket is $x and the price of student ticket is $y.
Hence, the price of senior citizen ticket is $10.01 and the price of student ticket is $6.02.
Kerry is looking foward to a skiing trip this weekend she checked the tempature yesterday and today, and overnigjt is dropped from 12 F to -5 F what is the total difference in the tempature
Answer:
-[tex]17^\circ F[/tex]
OR
[tex]17^\circ F[/tex] decrease in the temperature.
Step-by-step explanation:
Given that:
Temperature at the night = [tex]12^\circ F[/tex]
Temperature in the morning = -[tex]5^\circ F[/tex]
To find:
The total difference in the temperature = ?
Solution:
Difference of any quantity is given by the Final value of quantity minus Initial value of quantity.
Therefore, the difference is given as : -[tex]5^\circ F[/tex] - [tex]12^\circ F[/tex] = -[tex]17^\circ F[/tex]
Negative value in the difference indicates that there is a decrease of the quantity.
So, the answer is:
-[tex]17^\circ F[/tex]
OR
there is decrease of [tex]17^\circ F[/tex] in the temperature.
List the whole number factors of 18
Answer:
3,6, and 9
Step-by-step explanation:
Answer:
1, 2, 3, 6, 9, 18
Step-by-step explanation:
1 x 18
2 x 9
3 x 6
the polynomial function B (x) = -21x + 20 has a known factor of ( x - 4 ). complete the following function so that b(x) is rewritten as a product of linear factors. be sure to write each factor with ita terms in order from highest to lowest degree
Answer:
the
Step-by-step explanation:
The polynomial function B(x) = -21x + 20 with a factor of (x - 4) is
- 21x² + 104x - 80.
What is a factor of a polynomial?We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.
To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.
Given, the polynomial function
B (x) = - 21x + 20 has a known factor of (x - 4).
This as a product of two factors can be written as,
(- 21x + 20)(x - 4).
= - 21x² + 84x + 20x - 80.
= - 21x² + 104x - 80.
learn more about polynomials here :
https://brainly.com/question/11536910
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plzzzzzz help me Find the slope when given the following points. 2) (2, 1) and (5, 3)
Answer:
2/3
Step-by-step explanation:
3-1/5-2=
2/3
Triangle FGH has vertices F(−5, 0), G(0, 5), and H(5, 0). A dilation, centered at the origin, is applied to this triangle. The image has vertices F′(−30, 0), G′(0, 30), and H′(30, 0).
What is the scale factor of this dilation?
Answer:
The scale factor of the dilation is 6.
Step-by-step explanation:
Dilation of a Triangle
A dilation is a transformation that produces an image that is the same shape as the original but at a different size.
Dilating a point centered at the origin means multiplying its coordinates by a fixed scale factor k.
If point A(3,6) is dilated centered at the origin by a scale factor of 4, then its new coordinates are A'(12,24).
Triangle FGH has vertices F(−5, 0), G(0, 5), and H(5, 0).
It's known a dilation, centered at the origin, is applied to this triangle and the image has vertices F′(−30, 0), G′(0, 30), and H′(30, 0)
Comparing the coordinates F and F', the x-coordinate is scaled by a factor of (-30)/(-5)=6
Comparing the coordinates G and G', the y-coordinate is scaled by a factor of (30)/(5)=6
Comparing the coordinates H and H', the x-coordinate is scaled by a factor of (30)/(5)=6
Since all the scale factors are the same, we can conclude the scale factor of the dilation is 6.
Answer:
the answer will be 6
Step-by-step explanation:
i just multipled 5 to 30
1. Place a value under the radical symbol to make the statement true.
Answer:
24
Step-by-step explanation:
2 cuberoot 6 is equal to
2^2 times 6 which is 24
52x + 47x – 27 = 81
Will mark branilest!!
Answer:
B?
Step-by-step explanation:
(This is math. Is that question supposed to be math? I'm not sure)
If u can help me press this theres a photo
Answer:
Rational
Step-by-step explanation:
A rational number is simply a number of arithmetic: a whole number, fraction, mixed number, or decimal; together with its negative image.
PLEASE HELP ASAP 15 POINTS
Answer:
I am pretty sure the answer is a...
Step-by-step explanation:
To rent a certain meeting room, a college charges a reservation fee of $38 and an additional fee of $6.80 per hour. The history club wants to spend less than $65.20 on renting the meeting room. History club wants to spend less than $65.20 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.
Answer:
t < 4
Step-by-step explanation:
Reservation fee = $38
Additional fee per hour = $6.80
The history club wants to spend less than $65.20 on renting the meeting room.
t = number of hours the meeting room is rented
The inequality is
38 + 6.80t < 65.20
6.80t < 65.20 - 38
6.80t < 27.20
t < 27.20 / 6.80
t < 4
Therefore, number of hours the meeting room is rented should be less than 4 hours
an airplane begins to descend for a landing. the elevation g (in feet) of the airplane is modeled by the function: g(t)= 4800-300t, where t is the time (in minutes) since the airplane began to descend. what is the y- intercept?
Answer:
The y-intercept in this case is 4800
Step-by-step explanation:
The equation of a line graph is ;
y = mx + c
with respect to the given equation in the question, the y-intercept in this case is 4,800
In this case the y-intercept represent the height from which the plane starts to descend
Gabrielle's age is two times Mikhail's age. The sum of their ages is 21 . What is Mikhail's age?
Answer:
Gabrielle is 14 and Mikhali is 7
Answer:
let the age be x and 2x
2x+x=21
3X=21
X=7
simplify x X x^5 divided by x^2 X x
Answer:
[tex]\huge\boxed{(x\cdot x^5):(x^2\cdot x)=x^3}[/tex]
Step-by-step explanation:
[tex](x\cdot x^5):(x^2\cdot x)\qquad|\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=x^{1+5}:x^{2+1}=x^6:x^3\qquad|\text{use}\ a^n:a^m=a^{n-m}\\\\=x^{6-3}=x^3[/tex]
Answer:
X × X^5 ÷ X^2 ×X
X^3
because the same variable can be cancelled.
This graph shows transformations between
f(x) = 1/x and g(x)= a*(1/x). Use the drop-down menus to
identify the following functions.
Answer:
b
a
c
d
Step-by-step explanation:
For all functions of the form f(x) = ax2 + bx + c, which is true when b = 0?
Answer:
For all functions of the form f(x) = ax2 + bx + c, the y-intercept will always be the vertex.
Answer:
C
Step-by-step explanation:
i got it right on edge 100%
2+2X4 I need help can you help me please
A $20.00 pair of jeans is discounted 20%. What is the final price of the jeans?
Answer:
$16.00
Step-by-step explanation:
It is given that a $20.00 pair of jeans is discounted 20%. We need to find the final price of the jeans. Therefore, the final price of the jeans is $16.00.
how to set it up
20-4=16
Derrick compared two lengths of rope using an inequality. د. أزرگ What does the inequality show? O 2 The number 53 is less than 65. 2 O The number 5 is greater than 65 The number is 6. less than 5 1 2 The number 5 is greater than
Answer:
A)-The number 5 2/3 is less than 6 1/5
Step-by-step explanation:
I got it right :D
Answer:
A. The number 5 and two-thirds is less than 6 and one-fifth.
Step-by-step explanation:
i took the quiz and got it right
hi plz help verry tired
At the local farmer’s market it costs $6.00 for a 4-pound basket of pears. What is the price per pound?
Answer:
$1.50 per pound
Step-by-step explanation:
You divide 6 by 4 to get 1.5
A car travels 266 miles in 7 hours. If it travels at a constant rate, how many miles does the car travel in a 1 hour
Answer:
38 miles per hour
Step-by-step explanation:
If u divide 266 to 7 it would be going 38 per hour
Answer:
its 38
Step-by-step explanation:
it was correct for me
What are the constants to 4 - 4y + y - 3
Answer:
the constants are the numbers without variables(letters). so it would be 4 and -3
Step-by-step explanation:
Answer:
-3y+1 or 4 and -3
Step-by-step explanation:
i think that is the answer.
help fast please due soon
The quotient of a number and (-3) is (-80) Find the number.
Answer:
240
Step-by-step explanation:
What is the mZACB?
O 10°
B
O 50°
(4x)
O 90°
O 180°
(7x-20)
C
Answer:
50 degrees
Step-by-step explanation:
The total sum of angles in a triangle is 180, thus the value of ∠ACB will be obtained as follows:
Given that the triangle is a right triangle, the sum of angles will be:
(4x)°+(7x-20)°+90=180
simplifying and solving for x we get:
4x+7x-20+90=180
11x=180+20-90
11x=110
dividing both sides by 11 we get:
(11x)/11=110/11
this gives us
x=10°
Thus substituting the value of x in:
∠ACB=(7x-20)°
=(7*10-20)
=70-20
=50°
Answer: 50°
[tex]189 \times 625 + +16115 - 9635[/tex]
multiple add subtract and
8. This week, 300 tickets were sold to the school play. This is 120 percent of the number of tickets
sold last week. How many tickets were sold last week for the school play?
36 tickets
360 tickets
25 tickets
250 tickets
Answer:
360
Step-by-step explanation:
Answer:
360
Step-by-step explanation:
120% of 300
list three numbers that are larger than 20 but smaller than 50 and only have 2 factor
Answer:
23, 29, 31 I think. yeeeee good luck
26. A hot air balloon
descended 99.6
meters in 12 seconds.
What was the
balloon's average rate
of descent in meters
per second?
Answer:
8.3 meters per second
Step-by-step explanation:
Divide 99.6 by 12
The answer is 8.3
So the hot air balloon descended 8.3 meters every second
Hope this helps :)
Answer:
8.3 meters per second
Step-by-step explanation:
99.6 divided by 12 is 8.3 which is where your answer comes from.
