A sporting event held at a high school had 135
attendees. The event earned a total of $930.
Admission to the event was $10 for adults and
$4 for students. How many adults (a) and how
many students (s) attended?
a + s = 135
10a + 4s = $930
[?] adults [ ] students
Answers
Answer:
65 adults and 70 students
The number of adults and students attendant the sporting event held at a high school are 65 and 70 respectively .
What is elimination method?In the elimination method, we eliminate any one of the variables by using basic arithmetic operations and then simplify the equation to find the value of the other variable. Then we can put that value in any of the equations to find the value of the variable eliminated.
According to the question
A sporting event held at a high school had 135 attendees.
In which adults and students are there .
Let adults be a
and students be s
Therefore,
The equation is
a + s = 135 ---------------------------(1)
Now,
The event earned a total of $930.
Admission to the event was $10 for adults and $4 for students.
i,e
10a + 4s = 930 ---------------------------(2)
Now , Using elimination method to solve both equations
a + s = 135 ---------------------------(1)
10a + 4s = $930 -------------------(2)
Step1: Multiplying equation 1 by 10
i,e
10a + 10s = 1350 -------------------(3)
Step2: Subtract equation (2) from (3)
10a + 10s = 1350 -------------------(3)
-10a - 4s = -930 -------------------(2)
6s = 420
s = 70
Now , Substituting the value of s in equation (1)
a + s = 135 ---------------------------(1)
a + 70 = 135
a = 65
Hence, The number of adults and students attendant the sporting event held at a high school are 65 and 70 respectively .
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Related Questions
Find the solution(s) for x in the equation below.
x2 – 25 = 0
Answers
Answer:
x=5,-5
Step-by-step explanation:
y-2=-7/5(x--2). Please include explanation when giving your answer. I'm really struggling with this. 20 points for whoever can answer this.
Answers
Answer:
[tex]x=\frac{10y-27}{5\left(-2+y\right)};\quad \:y\ne \:2[/tex]
Step-by-step explanation:
First, you have to simplify [tex]\frac{-7}{5(x-2)}[/tex] to become [tex]-\frac{-7}{5(x-2)}[/tex]
Next, you multiply both sides by [tex]5(x-2)[/tex] to make [tex]y\cdot \:5\left(x-2\right)-2\cdot \:5\left(x-2\right)=-\frac{7}{5\left(x-2\right)}\cdot \:5\left(x-2\right)[/tex]
After that, you need to simplify again to become [tex]y\cdot \:5\left(x-2\right)-10\left(x-2\right)=-7[/tex]
Now, expand [tex]5(x-2)-10(x-2)[/tex] to become [tex]5xy-10y-10x+20=-7[/tex]
Then, add 10y to both sides [tex]5xy-10y-10x+20+10y=-7+10y[/tex]
Next, you simplify to create [tex]5xy-10x+20=-7+10y[/tex]
After that, subtract 20 from both sides to make [tex]5xy-10x+20-20=-7+10y-20[/tex]
Now, simplify again to get [tex]5xy-10x=10y-27[/tex]
Next, factor [tex]5xy-10x[/tex] to get [tex]5x(y-2)[/tex]
Finally, divide both sides by [tex]5(y-2)[/tex] to get [tex]\frac{5x\left(y-2\right)}{5\left(y-2\right)}=\frac{10y}{5\left(y-2\right)}-\frac{27}{5\left(y-2\right)};\quad \:y\ne \:2[/tex]
If you did it right your final answer should be [tex]x=\frac{10y-27}{5\left(-2+y\right)};\quad \:y\ne \:2[/tex]
Hope this helps explain it!
Please help. Picture uploaded below.
Answers
Answer: The answer is the number of each type of topping ordered.
Which function is represented by the graph?
O f(x) = (x – 11 + 3
O f(x) = 5x + 11 – 3
O f(x) = |x – 11 – 3
Of(x) = x + 1] + 3
Answers
Answer:
b
Step-by-step explanation:i took the quiz
Rich borrowed $5000 at a 7% interest rate for 6 years. What was the total interest? Enter your answer in the box. Hint: Use the formula I= P*R*T where I= Interest Earned/Owed P= Principal R= Rate T= Time
Answers
Answer:
$700.000 is the interest
Step-by-step explanation:
hope the answer helps
Simple interest is the interest calculated on the principal at a given rate for a time period.
The simple interest is given as,
SI = (Px R x T) / 100
The total interest is $2100.
What is simple interest?It is the interest calculated on the principal at a given rate for a time period.
The simple interest is given as,
SI = (Px R x T) / 100
We have,
P = $5000
R = 7%
T = 6 years
SI = P x R x T / 100
SI = 5000 x 7 x 6 / 100
SI = 50 x 7 x 6
SI = 50 x 42
SI = $2100
Thus,
The total interest is $2100.
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The ratio of cats to dogs seen at CyFair Animal Hospital is 2 to 5. If Dr. Blue, Dr. Ross, and Dr. Lavigne see 40 dogs altogether, how many cats AND dogs did they see in all? Explain your answer.
Please
Answers
The number of cats and dogs the doctor saw is 56.
Ratio expresses the relationship between two values. It shows the frequency that one value is contained another value. The sign of ratio is :.
The equation that can be used to determine the total number of dogs that the doctor saw is:
(ratio of dog / total number of dogs and cats) x total number of animals = number of dogs
5/7 x a = 40
Where a is the total number of dogs and cats
In order to determine the value of a, divide both sides of the equation by 7/5.
40 x 7/5 = 56
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A rectangle has a width of 9 units and a length of 40 units. What is the length of a diagonal? 0 34 units 0 39 units 0 41 units o 49 units Mark ihis and return Save and Exit
Answers
Answer:
41
Step-by-step explanation:
a² + b² = c²
9² + 40² = c²
81 + 1,600 = c²
√1681 = √c²
41 = c
3. Luigi lives 10 miles from work and rides his fancy Segway there each day. He rides past one
block every 45 seconds. Each block is 360 feet long. What is the rate, in feet per second at
which Luigi rides his Segway?
А
36 feet per second
B
80 feet per second
с
4.5 feet per second
D
8 feet per second
Answers
Method:
360/45=8
Tadaaaaa
Solve V = twh for w.
Answers
Answer:
w = V/lhStep-by-step explanation:
Given equation:
V = lwhSolve for w:
V/lh = lwh/lh Divide both sides by the lh to isolate the wV/lh = w Cancel same variablesw = V/lh Swap left and right sidesAnswer:
V/lh
Step-by-step explanation:
Given,
V = lwh
Here we know
V = volume
l = length
w = width
h = height
Now,
On solving for w
V = lwh
V = l × w × h
V/l = w × h
V/l × h = w
V/lh = w
John solves the equation 5(x-3)+4=18. which 2 choices could be his next step in solving the equation?
5x-15+4=18
5(x-3)=22
5(x-3)=14
5x-13+4=18
Answers
Answer:
5x-15+4=18
technically there's only one answer because you do parentheses first but if you did do parentheses first then the other answer could be
5(x-3)=14
8,17,26 find the 31st term
Answers
Answer:
T31= 278
Step-by-step explanation:
formula is Tn=a +(n-1)d
T31= 8+(31-1)9
T31=8+(30)9
T31=8+270
T31=278
C.
Find the 4th term in the expansion of (y + 2)
Answers
A worker at a clothing store earns a 20% commission on a sale of $85.00. How much is the commission
Answers
Answer:
16$
Step-by-step explanation:
HELP ASAP will give brainliest for answer
Answers
Answer:
This is the answer
x=π/10
Solve each system of linear equations by elimination.
X-6y=7
-x+6y= -7 -
Answers
Answer:
Infinitely many solutions.
Step-by-step explanation:
x-6y=7
-x+6y=-7
--------------
0=0
infinitely many solutions.
I need helppp pleaseee
Answers
Answer:
One solution
Step-by-step explanation:
Start by simplifying the equation.
Distribute 3 to 4 and 2 to get 12x + 6Combine 8x and -2x to get 6xThen you have 12x + 6 = 6x + 24,
Continue to solve
Subtract 6 from the left and right to get 12x = 6x + 18Subtract 6x from both sides to get 6x = 18Divide both sides by 6 to get x = 18Because x is equal to one digit and not x = x or 3 = 5, you have one solution
(Infinite) or (none)
Hope this helps!
24 kg of tomatoes cost $216 how much would one kg cost
Answers
Answer:
$9
Step-by-step explanation:
Cost of 24 kg of tomatoes = $216
Cost of 1 kg of tomatoes = 216/24
= $9
Hope it helped you!
Robert and Tony love to read. Robert reads 30 pages the first day and 20 pages each day after that. Tony reads 40 pages the first day and 15 pages each day after that. Will the boys ever read the same amount of pages? If so, how many days will it take them to read the same number of pages? A. Yes. They will read the same amount of pages in 3 days. B. Yes. They will read the same amount of pages in 5 days. C. Yes. They will read the same amount of pages in 6 days. D. No. They will never read the same amount of pages.
Answers
Answer:
Yes they will read the same amount of pages in 3 days
Step-by-step explanation:
Because when you do the math they add up to the same amount of pages.
The correct statement is;
''Yes. They will read the same amount of pages in 2 days.''
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Robert reads 30 pages the first day and 20 pages each day after that.
And, Tony reads 40 pages the first day and 15 pages each day after that.
Now,
Let the number of days for same pages read = x
So, We can formulate;
For Robert;
Number of pages = 30 + 20x
For Tony;
Number of pages = 40 + 15x
For equal days, we get;
⇒ 30 + 20x = 40 + 15x
Solve for x as;
⇒ 20x - 15x = 40 - 30
⇒ 5x = 10
⇒ x = 2
Thus, The correct statement is;
''Yes. They will read the same amount of pages in 2 days.''
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The graphs below have the same shape. What is the equation of the graph of gx)?
A. g(x) = (x+4)2
B. g(x) = x2 - 4
C. g(x) = x2 + 4
D. g(x) = (x - 4)
NO LINKS YOU BOTS
Answers
Answer:
the answer should be A Hope this helps!
Marvin has read 8% of the novel he started reading last Saturday. Which decimal is equivalent to the percentage of the novel Marvin has read?
Answers
Answer:
0.8 or 0.08 i believe
Step-by-step explanation:
hope this helps!
when x varies directly as 2y and x=6 when y=20 find y when x=9
Answers
Answer:
x=k×2y
substitute x for 6 and y for 20
6=2(20)×k
6=40k
Divide both sides by the coefficient of k
6/40=40k/40
3/20=k
To find y, when x=9
9=3/20×2y
9=6y/20
cross multiply
9×20=6y×1
180=6y
Divide both sides by the coefficient
y=30
Use a Quadratic formula to solve for X
3x^2+9x=-4
Round to the nearest hundreth.
Answers
That should by the answer but I couldn’t find how to round it up sorry
PLEASE ANSWER ASAP!!!!
Answers
Answer:
68
Step-by-step explanation:
In the figure given below CP=x+3, PA=3x+19, CQ=x and QB=3x+4 then, what value of x will make PQ || AB?
Topic:CBSE board Class 10
Correct answer will be mark as brainliest.
Answers
Given that
PQ || AB
CP = x+3
PA = 3x+19
DC = x+3
CA = x
QB = 3x+4
We know that
By Basic Proportionality Theorem,
CP / PA = CQ / QB
On substituting these values in the above formula
⇛ (3x+19) / (x+3) = (3x+4) / x
On applying cross multiplication then
⇛ x(3x+19) = (3x+4)(x+3)
⇛ 3x²+19x = 3x(x+3)+4(x+3)
⇛ 3x²+19x = 3x²+9x+4x+12
⇛ 3x²+19x = 3x²+13x+12
⇛ 3x²+19x-3x²-13x = 12
⇛ (3x²-3x²)+(19x-13x) = 12
⇛ 0+6x = 12
⇛ 6x = 12
⇛ x = 12/6
⇛ x = 2
∴ , x = 2
Answer: The value of x for the given problem is 2
Additional comment:
Basic Proportionality Theorem
" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio".
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Hedi Earns 3% commission on the jewelry she sells each week last week she sold $730 worth of jewelry how much commission did she make
Answers
730*0.03=21.9
She makes $21.90
30. Ben purchases a fish tank that is shaped like a
cube and will hold 216 cubic inches of water. What
are the dimensions (length, width, and height) of the
fish tank?
Answers
Answer:
the answer should have equal sides
Step-by-step explanation:
the answer 36 for the length, width, and height because if a cube has 6 sides each sould have the same amount of cubic inches.
help me plsssssssssssssssssssssssss
Answers
when -3 - 2m < 0 => -2m < 3 => m > -3/2
ANSWER: C
Ok done. Thank to me :>
Solve this system of equations using the Substitution method. Don't forget to write your final answer as a coordinate point.
3x + y = -2
y = 2x + 3
Answers
Answer:
(x, y) = (-1, 1)
Step-by-step explanation:
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Answers
hello there! you did not put any question so i would not be able to answer your question :(
Question 2 of 5
-64
O A. - 16
O B. -4
O C. 4 or -4
OD. -8
Answers
Answer:
B.-4
Step-by-step explanation:
Hope it help!!!!!!