Answer:
Adult tickets sold = 225
Student Tickets sold = 375
Step-by-step explanation:
Let:
Adult tickets sold = x
Student Tickets sold = y
Total tickets sold = 600
So, we can write: x+y = 600
Total money collected = 3037.50
Cost of 1 Adult ticket = $6.00
Cost of one Student ticket = $4.50
So, we can write: 6x+4.5y=3037.50
Now, we get a system of equations, that if solved we can find values of x and y
Let:
[tex]x+y = 600--eq(1)\\6x+4.5y=3037.50--eq(2)[/tex]
We can solve using substitution method.
Finding value of x from eq(1) and putting it in eq(2)
[tex]We\:have\\x+y=600\\x=600-y[/tex]
Put in eq(2)
[tex]6x+4.5y=3037.50\\6(600-y)+4.5y=3037.50\\3600-6y+4.5y=3037.50\\-1.5y=3037.50-3600\\-1.5y=-562.5\\y=\frac{-562.5}{-1.5}\\y=375[/tex]
So, we get value of y = 375
Now put value of y in eq(1) to find value of x
[tex]x+y=600\\Put\:y=375\\x+375=600\\x=600-375\\x=225[/tex]
So, we get value of x = 225
The Tickets sold will be:
Adult tickets sold = x = 225
Student Tickets sold = y = 375
the length of the hypotenus of a certain right triangle is 50 inches and the length of its legs is 40 inches . what is the length in inches of the other leg of the triangle
Answer:
The length of the other leg of the triangle is 30 inches.
Step-by-step explanation:
Pythagorean: a^2+b^2=c^2
50=hypotenuse
50^2-40^2=missing leg
50^2=2500
40^2=1600
50^2-40^2=900
[tex]\sqrt{900}[/tex]=30
30 is missing leg
The length of the other leg of the triangle is; 30 inches.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
We have been given that the length of the hypotenuse of a certain right triangle is 50 inches and the length of its legs is 40 inches.
Using Pythagorean:
[tex]a^2+b^2=c^2[/tex]
50 = hypotenuse
Let the missing length is x.
x² = 50^2-40^2
x² = 2500 - 1600
x² = 900
x =30
Hence, the length in inches of the other leg of the triangle is 30.
Learn more about a right angle;
https://brainly.com/question/7116550
#SPJ2
Match each expression with its value.
15 ÷12
12 ÷ (-15)
12 ÷ 15
15 ÷ (-12)
-0.8
0.8
-1.25
1.25
If f(x) = 3x-2, find f(8) - f(5)
Answer:
9
Step-by-step explanation:
f(8)=3(8)-2=22
f(5)=3(5)-2=13
22-13=9
Answer:
f(8) - f(5) = 9
Step-by-step explanation:
So our function is:
f(x) = 3x - 2
Therefore, f(8) becomes:
f(8) = 3(8) - 2 = 24 - 2 = 22
And f(5) is:
f(5) = 3(5) - 2 = 15 - 2 = 13
Finaly, f(8) - f(5) is therefore:
22 - 13 = 9
So f(8) - f(5) = 9
Hope this helps!
180° rotation
Pre rotation points
Answer:
whats the question???????????
Jennifer bought a mountain bike priced at $315.00. She received a 19% discount because the dealer was overstocked. She had to pay an 8% sales tax on the amount she actually paid for the bike what was the total cost of the bike including tax
Answer:
$275.562
Step-by-step explanation:
Step 1
Find the discounted price
Jennifer bought a mountain bike priced at $315.00. She received a 19% discount because the dealer was overstocked.
Discount = $315 × 19%
= $59.85
Discounted price = $315 - $59.85
= $255.15
Step 2
Sale Tax
She had to pay an 8% sales tax on the amount she actually paid for the bike
Hence:
$255.15 × 8%
Sale Tax = $20.412
Step 3
The total cost of the bike including tax is calculated as:
$255.15 + $20.412
= $275.562
WILL GIVE BRAINLIEST
A cylinder has a total area of 3.41946cm2 and a diameter of 0.66cm. What is its height?
pls make it easy for me to understand!!
Answer:
1.32cm
Step-by-step explanation:
Step-by-step explanation:
I'm assuming you are saying volume?
But I'll do both volume and surface area.
also note that 0.66 is the diameter, not radius
If 3.41946 is the volume:
V of cylinder = pi*r^2*h
3.41946 = pi*0.33^2*h
h = 3.41946/(pi*0.33^2) = 9.99493043 cm
If 3.41946 is the surface area:
SA of cylinder = pi*r*(r+h)
3.41946 = pi*0.33*(0.33+h)
0.33+h = 3.41946/(pi*0.33) = 3.29832704
h = 3.29832704-0.33 = 2.96832704 cm
Holis
sawarasenaikimiwa⛓shoujonano?✨bökùWâÿariçhiñbįcchīńoosûdàyo ah
Answer:
Oop
Step-by-step explanation:
sawarasenaikimiwa⛓shojonano ✨bökùwâÿariçhiñbįcchīńoosûdàyo
i haded to do it lol
Harry is reading a book that is 597 pages long. He tells a friend that he is about 2/3 of the way done. About how many more pages must Harry read before he finishes the book?
Answer:
This reading habit has helped me finish 7 books in 10 weeks. ... reports he had brought with him and said, “Read 500 pages like this every day. ... You simply have to make time to read.
3x - 4y = 44
can someone help me get Y by it self
Answer:
y= 3 /4 x−11
Step-by-step explanation:
3x - 4y = 44
Add -3x to both sides.
3x−4y+−3x=44+−3x
−4y=−3x+44
Divide both sides by -4.
−4y /−4 = (−3x+44 )/−4
y= 3 /4 x−11
what is the solution of x in 2-3(6-2x)=1/2(10x-8)
Answer:
answer is 12
....
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.
...
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. :-)))
Is the equation 72 ÷ 6 = 64 ÷ 4 true or false? (2 points)
True
False
Answer:
True
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
72/6=12
64/4=16
An apple tree measures 20 1/2 feet tal,over the next five years,it grew to the height of 28 feet. What was the average yearly growth of the apple tree
Answer:
6.4%
Step-by-step explanation:
We solve this question in using the population growth rate formula
P(t) = Po(1 + r)^t
P(t) = Population after t years = 28 ft
Po = Initial Population = 20 1/2 feet or 20.5 feet
r = Growth rate = ?
t = Time in years = 5
Hence:
28 = 20.5 (1 + r)⁵
Divide both side by 20.5
28/20.5 = 20.5 (1 + r)⁵/20.5
1.3658536585 = (1 + r)⁵
5th root both sides.
5√(1.3658536585) = 5√(1 + r)⁵
1.0643411027 = 1 + r
r = 1.0643411027 - 1
r = 0.0643411027
Converting to percentage
r = 0.0643411027 × 100
r = 6.43411027%
Approximately = 6.4%
The yearly growth rate of the apple tree = 6.4%
Jamie spent 1 ½ hours swimming in the pool on Monday. On Tuesday, she swam for 2 ¼ hours. How many hours did Jamie swim in all?
Answer:
3 3/4
Step-by-step explanation:
 thanks for the help but I need this answer please!!!
Answer:60 degrees
Step-by-step explanation:
Your other angle is 120 - a straight line has angles must add up to 180. 180-120=60 degrees
The manager of an amusement park is setting the price of a wookend admission to the
park based on a summer membership of $78. Sho wants the summer membership to bo
$12 loss than 3 times the cost of a wookend pass to the park. Which equation can the
amusement park manager use to find, x, the cost of the wookend admission?
I NEED THIS ANSWER RNN
PLEASEEEEEE 30 points 30 points 30 points
Step-by-step explanation:
We have
Summer membership + $12 = 3(Weekend pass).
=> ($78) + ($12) = 3x
=> 3x = $90
=> x = $30.
Hence the weekend admission is $30.
Answer:
3x-12=78
Step-by-step explanation:
This is my thinking:
So because x is the cost of the weekend admission, the problem says 12 less than 3 times the cost of the weekend admission. The 3 times the cost of the weekend admission is the 3x, and the problem says 12 less than and that is the -12. And the whole equation is being taken from 78, so
3x-12=78.
94. Juan is practicing archery using a simple circular target with a radius of 18 inches. The target's a bullseye has a circumference of 18pi inches. What is the area of the portion of the target that is not part of the bullseye?
Answer: 763.02 in^2
Step-by-step explanation:
For a circle of radius R, we know that:
The area is:
A = pi*R^2
the circumference is:
C = 2*pi*R
where pi = 3.14
We know that the circumference of the bullseye is 18*pi, then the radius of this circle is:
2*pi*R = 18*pi
2*R = 18
R = 18/2 = 9
The radius of the bullseye is 9 inches.
Now, the area of the target that is not part of the bullseye is equal to the difference between the area of a circle of radius 18in (the total target area) and a circle of radius 9in (the bullseye area)
This is:
A = pi*(18in)^2 - pi*(9in)^2 = 3.14*( (18in)^2 - (9in)^2) = 763.02 in^2
Find each function value 1. f(2) if f(x) = x + 4
Answer:
The function value would be 6
Step-by-step explanation:
If f(2) then....
f(x) = x + 4
f(2) = 2 + 4
f(2) = 6
help Math 39 points Asap Probability image below
Answer:
1/10
Step-by-step explanation:
There are 3 reds and 2 blues. He picks one and then another with no replacement. ? of getting 2 blues.
There are five marbles altogether.
First is 2/5
The second blue is 1/4
The chance of them both being blue is 2/5 * 1/4 = 2/20 = 1/10
What is the Circumference of a circle with a radius of 15mm? There are no choices
Answer:
90
Step-by-step explanation:
Anyone know the answer?!
Answer:
B
Step-by-step explanation:
the third and fourth ones
Can someone help me please?
Answer:
It is growing by five! have a good day
Step-by-step explanation:
Answer:
it.is growing by 5.??????????????????????? ????????????????
There are 56 passengers on a plane. Five out of every eight passengers are
carrying a suitcase. How many passengers are carrying a suitcase?
(equivalent ratios)
A) 35 B) 30 C) 16 D) 17
please show how
Answer:
Answer: 35
Step-by-step explanation:
five out of every eight are carrying suitcases, so muiltiply 5/8 times 56 to get 35
Write 0.721 as a fraction. Show your work.
Step-by-step explanation:
721/100
It is correct answer
write an equation for the line in slope-intercept form
Answer:
y = -3/1x + 2
Step-by-step explanation:
1. Find the slope
The points I will use are (-1,5) and (0,2), where x1 = -1, y1 = 5, x2 =0, and y2 =2.
y2-y1/x2-x1
2-5/0-(-1) = -3/1
2. Find the y-intercepy
y = mx + b
You can use any x or y point. I'll use (-1,5)
m= slope, which is -3/1
5= -3/1(-1) +b
5= 3 + b
Subtract 3 from 5 and 3 to get 2=b.
3. Rewrite in slope-intercept form
y = -3/1x + 2
There are 31 pink beads and 15 purple beads on Violet's necklace. What is the ratio of the number of beads to the number of pink beads?
Answer:
The ratio of number of purple beads to the number of pink beads is: 15:31
Step-by-step explanation:
Number of pink beads = 31
Number of Purple beads = 15
We need to find ratio of number of purple beads to the number of pink beads
So, The ratio of number of purple beads to the number of pink beads is:
Number of purple beads : Number of pink beads
15 : 31
Since it cannot be simplified further, So
The ratio of number of purple beads to the number of pink beads is: 15:31
If a+1=b then b>a create values for a and b
Answer:
One is a = 2, b = 3 AND another one is a = 11, b = 12
Step-by-step explanation:
They all fit this description. b = 1+a
15.
At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist heading north is riding 4 km/hour faster than the bicyclist heading south. At 10:15, they are 40 km apart. Find the two bicyclists’ rates.
northbound bicyclist = 19 km/h; southbound bicyclist = 15 km/h
northbound bicyclist = 18 km/h; southbound bicyclist = 14 km/h
northbound bicyclist = 18 km/h; southbound bicyclist = 13 km/h
northbound bicyclist = 16 km/h; southbound bicyclist = 10 km/h
Answer:
In 1.25 hours, their combined speed is 40 km, so their speed per hour is 32 km/h
So the answer is B. northbound bicyclist = 18 km/h
southbound bicyclist = 14 km/h
Step-by-step explanation:
the speed of the slower is x and the faster x+4 km/h
that equals 32 km and the speed of the slower is 14 km/hr and the faster 18 km/hr.
in 1h15m the slower goes 17.5 km and the faster 22.5 km
Answer:northbound bicyclist = 18 km/h; southbound bicyclist = 11 km/h
Please first person to answer question will be marked as branliest and will be given 5 likes
Please I beg u all
Answer:
A.) x=-3
B.) I have no clue I'm sorry I haven't learned anything over square method
Step-by-step explanation:
Myra reads 8 pages of her book. If this is 25% of her book. How many pages does she have left to read?
Which graph has a slope of -3?
D.
Its the only one going down 3 and over 1.
The answer would be D because it says -3 and not just 3.