Answer:
Step-by-step explanation:
Determine the types of tickets involved.
There are student tickets and adult tickets.
Create a table to organize the information.
Type
Number
Value ($)
Total Value ($)
Student
6
Adult
9
1
,
506
Step 2. Identify what you are looking for.
We are looking for the number of student and adult tickets.
Step 3. Name. Represent the number of each type of ticket using variables.
We know the number of adult tickets sold was
5
less than three times the number of student tickets sold.
Let
s
be the number of student tickets.
Then
3
s
−
5
is the number of adult tickets.
Multiply the number times the value to get the total value of each type of ticket.
Type
Number
Value ($)
Total Value ($)
Student
s
6
6
s
Adult
3
s
−
5
9
9
(
3
s
−
5
)
1
,
506
Step 4. Translate: Write the equation by adding the total values of each type of ticket.
6
s
+
9
(
3
s
−
5
)
=
1506
Step 5. Solve the equation.
6
s
+
27
s
−
45
=
1506
33
s
−
45
=
1506
33
s
=
1551
s
=
47
students
Substitute to find the number of adults.
3
s
−
5
=
number of adults
3
(
47
)
−
5
=
136
adults
Step 6. Check. There were
47
student tickets at
$6
each and
136
adult tickets at
$9
each. Is the total value
$1506
?
We find the total value of each type of ticket by multiplying the number of tickets times its value; we then add to get the total value of all the tickets sold.
47
⋅
6
=
282
136
⋅
9
=
1224
_____
1506
✓
Step 7. Answer the question. They sold
47
student tickets and
136
adult tickets.
A bridge is supported by triangular braces. If the sides of each brace have lengths 63 feet, 46 feet, and 40 feet, find the measure of the angle opposite the 46 foot side. Round to the nearest degree.
Given:
The sides of each brace have lengths 63 feet, 46 feet, and 40 feet.
To find:
The measure of the angle opposite the 46 foot side.
Solution:
According to the Law of Cosines:
[tex]\cos A=\dfrac{b^2+c^2-a^2}{2bc}[/tex]
We need to find the measure of the angle opposite the 46 foot side. So, [tex]a=46[/tex] and the other sides are [tex]b=63,c=40[/tex].
[tex]\cos A=\dfrac{(63)^2+(40)^2-(46)^2}{2(63)(40)}[/tex]
[tex]\cos A=\dfrac{3969 +1600-2116}{5040}[/tex]
[tex]\cos A=\dfrac{3453}{5040}[/tex]
[tex]\cos A=\dfrac{1151}{1680}[/tex]
Taking cos inverse on both sides, we get
[tex]A=\cos^{-1}\dfrac{1151}{1680}[/tex]
[tex]A=46.75503[/tex]
[tex]A\approx 47[/tex]
Therefore, the measure of the angle opposite the 46 foot side is 47 degrees.
Dora's car can travel 81 miles using 2.7 gallons of gas. At this rate, how far, in miles, can Dora travel using
73 gallons of gas?
Answer:
2190 miles
Step-by-step explanation:
Is (5, 1) a solution to this system of inequalities?
x + 7y ≥ 12
2x + 9y ≥ 20
What is the percent of change from 78 to 100 decreased
Answer:
28.20512821 %
Step-by-step explanation:
22/78 = 28.25%
Answer:
28.20512821 %
Step-by-step explanation:
22/78 = 28.25%
Plzzz help meeee!!! I CANT DO THISSSSSS AT ALLLLLLLL!!!!!:/:/:/:/AHHH
Answer:
Step-by-step explanation:
11q + 5 <= 49
11q <= 44
q <= 4
answer is B
Express y in terms of x
Answer:
y = x
Step-by-step explanation:
Answer:
y=x should be correct since both the x and y values are equal in the table.
Two sailboats leave the same harbour in different directions. Sailboat 1 travels due north for 10 km. Sailboat 2 travel ahead 60 degrees east of North for 8 kilometres how far are the sailboats from one another at their current locations.
Answer:
I am filipino culture :))
A circle has a diameter of 8 cm. What is its radius?
A. 8cm
B. 12cm
C. 4cm
D. 16cm
Answer:
C. 4 cm
Step-by-step explanation:
"Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle."
So, divide 8 by 2
⇒8/2
⇒ 4
==================================================================
Hope I Helped, Feel free to ask any questions to clarify :)
Have a great day!
More Love, More Peace, Less Hate.
Stay strong!
Love,
-Aadi x
Select the histogram that represents the given high temperatures.
66, 68, 80, 84, 89, 87, 92, 83, 79, 77, 72, 69, 82
Step-by-step explanation:
Step 1: On the horizontal axis, we can choose the scale to be 1 unit = 11 lb.Since the weights in the table start from 65, not from 0, we give a break/kink on the X-axis. Step 2: On the vertical axis, the frequencies are varying from 4 to 10.Thus, we choose the scale to be 1 unit = 2.
g(1) = 4
g(n) = g(n-1).(-3)
g(3)=
g(1) = 4
g(n) = g(n-1).(-3)
g(3)= 2g(2) = 24 = 16
If Steve runs 4/5 mile each day, how many miles will Steve run in 5 days?
Answer:
4 miles
Step-by-step explanation:
If you flip a coin and spin a ten-part spinner numbered from 1 to 10, what is the probability that you will get heads and an even number?
Answer:
1/4
Step-by-step explanation:
Coin 2 sides, 1/2 chance to get heads.
Spinner 10 numbers, 5 even, 1/2 change to get even.
1/2x1/2
1/4
role 2 dice with number 1 through 6 and add them together this sum is recorded as the outcome of a single trial of a random experiment
I just need to fine the (the sum is divisible by 3)
please make it fast thank you
Answer:
porrrrnyyyyu???
Step-by-step explanation:
numbers that lies exactly half way between-2,4 and 1, 7
Answer:
(- 0.5, 5.5 )
Step-by-step explanation:
Using the midpoint formula
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (- 2, 4) and (x₂, y₂ ) = (1, 7) , then
midpoint = ( [tex]\frac{-2+1}{2}[/tex], [tex]\frac{4+7}{2}[/tex] ) = ( [tex]\frac{-1}{2}[/tex], [tex]\frac{11}{2}[/tex] ) = ( - 0.5, 5.5 )
Solve for y. 4y+5/3=y-10/2
Answer:
20/9
Step-by-step explanation:
Answer:
[tex]y = - \frac{20}{9} [/tex]
Step-by-step explanation:
[tex]4y + \frac{5}{3} = y - \frac{10}{2} \\ 4y + \frac{5}{3} = y - 5 \\ 4y - y = - 5 - \frac{5}{3} \\ 3y = - \frac{20}{3} \times \frac{1}{3} [/tex]
[tex] y = - \frac{20}{9} [/tex]
Help me!!!
ln a certain clusters of school of 600 student the student can visit helu, park,both helu,park and neither. just as many visit both as many visit both as many visit neither. one quarter of those who visit park also visit helu. the total number who visit helu is 30 fewer than who visit park only. find how many visit helu only.
Answer:
this is your answer look it once.
THIRD TIMES THE CHARM. No Links- Please Help.
14m to 140cm witch is more
Answer:
14 m is more
Step-by-step explanation:
14 meters = 1400 cm
14 x 100=1400
Answer:
14 m is more
Step-by-step explanation:
1 m = 100 cm
14 m
= 14 x 100
= 1400 cm
1400 cm > 140 cm
14 m > 140 cm
You deposit $30,000 into a savings account with an interest rate of 2.5% compounding quarterly for 10 years.
Part A- how much interest do you earn in 10 years?
Part B- how much money will be your account at the end of 10 years.
Answer:
30,000 divided by 1.23/100 then multiply 30,000 by 0.0123 the answer is 369, hope this helps
Step-by-step explanation:
When the input is 5, what is the output for the square function?
Answer:25
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
A box contain 10 green pins 3 are blue and 7 are green. Two pins are randomly taken out of the box without replacement work out the probability that both pins are the same color
Answer:
[tex]P(Z)=\frac{8}{15}[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size [tex]n=10[/tex]
Green pins [tex]x=7[/tex]
Blue pins [tex]y=3[/tex]
Generally the probability of getting two green is mathematically given by
[tex]P(2X)=\frac{7}{10}*\frac{6}{9}[/tex]
[tex]P(2X)=\frac{7}{15}[/tex]
Generally the probability of getting two blue is mathematically given by
[tex]P(2Y)=\frac{3}{10}*\frac{2}{9}[/tex]
[tex]P(2Y)=\frac{1}{15}[/tex]
Therefore the probability that both pins are the same color P(Z)
[tex]P(Z)=P(2Y)+P(2X)\\P(Z)=\frac{7}{15}+\frac{1}{15}[/tex]
[tex]P(Z)=\frac{8}{15}[/tex]
PLEASE HELP
Morty buys and sells computer parts. He bought two monitors for $25.00 each and later sold them for
$88.00 each. He bought four cases for $15.00 each and later sold them for $24.00 each. He bought
five memory modules for $20.00 each and later sold them for $55.00 each.
Answer: 600$$
Step-by-step explanation:
How much granola will each person get if 4 people share
5pound of granola equally?
Answer:
5/4
Step-by-step explanation:
What is the answer :>
um.. it’s just a black picture. :>
question on picture:
Answer:
Formula for tan is opposite over adjacent, so do arctan of 150/100 to get 56.30993247 :))
Step-by-step explanation:
Answer:
B. 34
Step-by-step explanation:
sohcahtoa
tan x = 100/150
tan x = .667
x = 33.7
An athlete takes 10 rounds of a rectangular park, 60 m long and 35 m wide. Find the total distance covered by him
Answer:
1900M
Step-by-step explanation:
If the athlete runs round a rectangular park, the distance covered can be determined by calculating the perimeter of the park
Perimeter of a rectangle = 2 x (length + width)
2 x (60 + 35) = 190m
Since he run rounds 10 times, the total distance covered = 190m x 10 = 1900m
A square ceiling has a diagonal of 24 ft. Shelton wants to put molding around the perimeter of the ceiling.
How many feet of molding will he need?
Round to the nearest foot.
Answer:
16.97 feet
Step-by-step explanation:
a^2=b^2+c^2
24^2=576
b and c are equal divide 576 by 2 to get 288 square root of 288=16.97 feet
PLEASE ANSWER QUICKLY!!!
PLEASE HELP PLEASE ASAP!!!
Drag and drop the responses into the boxes to correctly complete the statements.
Answer:
verticles angles are different from each other so ans is a²×b² = c²
If a die is rolled, what is the probability of getting an even number?
note: write your answer as a decimal
Answer:
The probability of getting an even number is 0.5
Step-by-step explanation:
No. of events (s)=6
Even numbers (E)=3
So, Probability of getting an even number=(s)/(E)
=6/3
=1/2
=0.5