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

A Sporting Event Held At A High School Had 135attendees. The Event Earned A Total Of $930.Admission To

Answers

Answer 1

Answer:

65 adults and 70 students

Answer 2

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 .

To know more about elimination method here:

https://brainly.com/question/12090959

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Related Questions

in a class of 55 21 study physics 24 study geography and 23 study economics and physics. if x students study all three subjects and 2x study non of the subjects find
1 the value of x
2 the number of students that study only physics
3 number of students that study only 2 subjects
solve usind venn diagram

Answers

The total number of students who studied only two subjects is 13.

The given parameters:

Total number of students, n = 55 Number of physics students = 21Number of geography students = 24Number of economics students = 23Number of students for the 3 subjects, = xNumber of students who studied non = 2x

The number of students who studied only two subjects can be determined by applying overlapping three sets formula as shown below;

[tex]Total = n(phy) + n(geo) + n(econ) + n(none)- n(double) - 2(all \ subjects)\\\\55 = 21 + 24 + 23 + 2x-n(double) - 2(x)\\\\55 = 68- n(double)\\\\n(double) = 68-55\\\\n(double) = 13[/tex]

Thus, the total number of students who studied only two subjects is 13.

Learn more about overlapping three sets here:  https://brainly.com/question/2041029

I need help with this

Answers

Square + Circle = 10Triangle + Triangle = 6Triangle + Circle = 5Firstly, we will solve for triangle:Here, Triangle + Triangle = 6So, 2 Triangles = 6or, Triangle = 6 ÷ 2or, Triangle = 3So, the value of Triangle is 3.Now, let us solve for Circle:Triangle + Circle = 5We know, Triangle = 3Therefore, 3 + Circle = 5or, Circle = 5 - 3or, Circle = 2Finally, we can easily solve for Square:Square + Circle = 10or, Square + 2 = 10or, Square = 10 - 2 = 8

Answers:

Square = 8Triangle = 3Circle = 2

Hope you could get an idea from here.

Doubt clarification - use comment section.

B =
Round your answer to the nearest hundredth.

Answers

Answer( angle b) = 41.82 °

Answer:

Angle B = 48.19

#Rounded off to the nearest hundredth after the decimal point

Step-by-step explanation:

As Seen in the diagram is a right angled triangle and by using the infamous laws of Trigonometry, we can use the Trigonometric ratios in an indirect sense to find our answer...

Now to solve this question we need to first see what values are given to us! So the values given to us are

Hypotenuse= 3

Adjacent= 2

C= 90° (since it is the angle opposite to the hypotenuse and if observed with every right angled triangle, it will always be the case)

B=?

A=?

Questions objective= find B

I shall provide a labelled version of right angled triangle which shall aid where is the adjacent, opposite or the Hypotenuse below

Now coming back to the question,

The Opposite side of the angle we are trying to find is the adjacent and there are many Trigonometric ratios but for the sake of the question, we will need to use the one affiliated with Cosine

the way we shall interpret it is quite simple

Cos ∅°=  [tex]\frac{Adjacent}{Hypotenuse}[/tex]

Now by interpreting the values from the diagram

Cos A°= [tex]\frac{2}{3}[/tex]

Now to find the actual value of a number that has an operation that disrupts the actual value, we only need to use the inverse of the operation on it to find the actual value

so by this statement we need to put an inverse of Cos

∴ A°= [tex]Cos^{-1}[/tex]([tex]\frac{2}{3}[/tex])

A°= 48.1896851

Now we need to subtract the value of 180° - (Angle A + Angle C)

by doing so we will get the value of 41.82 (rounded off to the nearest hundredth)

hence B= 41.82 °

We can add up all the values and it will be approximately be equal to 180 (keep in mind that some of these values of triangle are irrational due to which they never end)

Please do double-check it as I could've made a mistake too

Till then a Thank You, aa 5 Stars or even better, A BRAINIEST will make my day

Take care of yourself and I guess the answers complete :)

Using the digits 1 to 9, without repeating any numbers, place a digit in each box that will create 3 equivalent ratios.

Answers

6:3 = 14:7 = 58:29

hope this is helpful!

5p coins weigh approximately 3 grams
what would the weight of £5 worth of 5p coins ?
give your answer in kg

Answers

Answer:

0.3kg(300g)

Step-by-step explanation:

£1=100p

£5=500p

5p=3g

500p=x

x=500*3/5

x=300g

Step-by-step explanation:

£5 in pence is 500p

The number of 5p coins in 500p is:

500/5 = 100 (5p coins)

each 5p coin weighs 3g

therefore the £5 weighs in grams:

3x100 = 300g

To change to Kg: 300/1000 = 0.3 Kg

pls help on my maths question

Answers

Answer:

Somewhat illegible but looks like the equation should be:

S = u t + 1/2 a t^2

100 = 20 + 1/2 * a * 4    where t = 2

a* 4 = 160

a = 40

If y varies directly as x, and y= 12 when x = 4, what is y when x = 8?

Answers

Answer:

24 !!

Step-by-step explanation:

Simple, x got doubled, and since y varies directly as x, 12 doubled = 24. I hope this helps!!!

If the average ticket price for movie A in its first week was 1.4 times the average ticket price in its third week, what was the average ticket price for movie A in its first week?

Answers

8.35x1.4= $11.69 So the ticket price for movie A in its first week would be $11.69

Hope this helped :)

3 In AABC, 2C = 90°, then which of the following is true? a) ABP = BCP + AC b) AC2 = AB? + BC2 c) BC2 = AB? + ACP d) AC = AB + BC ​

Answers

Answer:

a bit hard q

Step-by-step explanation:

becoz i am not good at algebra

1/2.5+1/5.8+1/8.11+...+1/97.100

Answers

Answer:

that's is the correct answer

Step-by-step explanation:

hope it helps

Betty makes 40 cupcakes per hour to find the number of cupcakes baked in h hours use the equation f(h)=40 evaluate f(5) and explain what it means

Answers

Answer:

Step-by-step explanation:

f(h) = (40 cupcakes / hr)*h

f(5) represents the number of cupcakes baked in 5 hours:  200 cupcakes

How do I find the scale factor‼️‼️

Answers

Bro I got no clue
..........

Answer:

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

Investors buy a studio apartment for $150,000. Of this​ amount, they have a down payment of $37,500.

a. Their odwn payment is what percent of the purchase price?
b. what percent of the purchase price would a 67,500 down payment be?


a. The down payment is __?__% of the purchase price.
(Type a whole number.)

b. A 67,500 down payment would be __?__% of the purchase price.
(Type a whole number.)

Answers

Divide the down payment by the purchase price then multiply by 100 to get the percent.

A. 37,500 / 150,000 = 0.25

0.25 x 100 = 25%

B. 67,500/150,000 = 0.45

0.45 x 100 = 45%

what is 12/3/5 simplified?

Answers

Answer:

1/4

Step-by-step explanation:

Divide both the numerator and denominator by the GCD 9 ÷ 9

36 ÷ 9

Reduced fraction: 1/4 Therefore, 9/36 simplified to lowest terms is 1/4.

Find the slope of each line.
1)

Answers

Answer:

7/1 or 7

Step-by-step explanation:

because you rise (vertically) seven and run (horizontally) 1, so 7/1 but simplified it's just 7 so either is valid.

Which pairs of angles are alternate interior angles? Select all that apply.

There are two vertical parallel lines and a transversal. The angle formed by the transversal on the left of the first vertical line are labeled as 1, and 2, and the angle formed by the transversal on the right of the first vertical line are labeled as 3 and 4. The angle formed by the transversal on the left of the second vertical line are labeled as 5 and 6, and the angle formed by the transversal on the right of the second vertical line are labeled as 7 and 8.

Answers

Answer:

9 and 10 i dont know why they have us doing this confusing  stuff

Step-by-step explanation:

PLEASE ANSWER THIS !!!
m>17.2
What word sentence represents this inequality?

3: A number is less than 17.2
2: A number is greater than 17.2
1: A number is at most 17.2

Answers

Answer:

2. "a number is greater than 17.2"

Step-by-step explanation:

m > 17.2 can be read by saying "the number m is greater than the number 17.2" which also can be read as 2. "a number is greater than 17.2"

How i can answer this question

Answers

Answer:

4k+11

Step-by-step explanation:

There you go. Happy to help.

15(x + 3)2
Box the exponent (s)
please help

Answers

Answer:

  "2" is the exponent

Step-by-step explanation:

There is no exponent in your expression.

__

When the expression is typeset, the superscript text is considered to be an exponent:

  [tex]15(x+3){\boxed{^2}}[/tex]

When the expression is written in plain text, the exponent is indicated by a caret (^):

  [tex]\textsf{15(x+3)\^\ \!\!\boxed{\textsf{2}}}[/tex]

Answer:

[tex] {15x}^{2} + 90x + 135 \\ [/tex]

Step-by-step explanation:

[tex]15 {(x + 3)}^{2} \\ 15(x + 3)(x + 3) \\ 15 |(x(x + 3) + 3(x + 3)| \\ 15( {x}^{2} + 3x + 3x + 9) \\ 15( {x}^{2} + 6x + 9) \\ {15x}^{2} + 90x + 135 \\ [/tex]

yo can i get sum help over here

Answers

Answer:

0.1 i think

Step-by-step explanation:

each line is 0. *number* until u reach 1 then it goes to 1.*number*

Answer:

0.1

Step-by-step explanation:

f(x) = 8x-3 and g(x) =4x +5; find (f /g) (x)

Answers

Answer:

32x + 37

Step-by-step explanation:

f(g(x)) = 8(4x+5) - 3

= 32x + 40 - 3

= 32x + 37

the sum of three numbers is 182, the second is 6 times bigger than the first and the third is 14 times bigger than the second number, what are those numbers?​

Answers

Answer:

The numbers are [tex]2,12,168[/tex]

Step-by-step explanation:

Let the numbers be [tex]a,b,c[/tex]

We have

The sum of three numbers is [tex]182[/tex]

[tex]a+b+c=182-----eqn1[/tex]

The second is [tex]6[/tex] times bigger than the first

[tex]b=6a-----eqn2[/tex]

The third is [tex]14[/tex] times bigger than the second number

[tex]c=14b-------eqn3[/tex]

Substituting in eqn 3

[tex]c=14\times 6a=84a ----eqn4[/tex]

Substituting in eqn 1

[tex]a+6a+84a=182\\\\91a=182\\\\a=2[/tex]

Substituting in eqn 2

[tex]b=6\times2=12[/tex]

Substituting in eqn 3

[tex]c=14\times12=168[/tex]

The numbers are [tex]2,12,168[/tex]

The first number is a , the second number is b , the third number is c

( 0 < a < b < c )

The sum of three numbers is 182

⇒ a + b + c = 182    (1)

The second is 6 times bigger than the first

⇒ b = 6a                 (2)

The third is 14 times bigger than the second number

⇒ c = 14b = 14.6a = 84a               (3)

(1),(2),(3): ⇒ a + 6a + 84a = 182

              ⇒ 91a = 182

              ⇒ a = 2

              ⇒ b = 6a = 6.2 = 12

              ⇒ c = 14b = 14.12 = 168

Those numbers are 2 , 12 , 168

ok done. Thank to me :>

Erica has $12 credit on her Cel-Tel phone card. It costs her $1 to make a phone call using her Cel-Tel card. Erica also has $15 credit on her MTT phone card. It costs her $2 to make a phone call using her MTT card. Which system of equations can be solved to find the number of calls, x, that Erica can make and have the same amount of money, y, on both phone cards?


yy==−2x+15−x+12
y = - 2 x + 15 y = - x + 12

yy==2x+15−x+15
y = 2 x + 15 y = - x + 15

yy==−2x−15−x−12
y = - 2 x - 15 y = - x - 12

yy==15x−212x−1
y = 15 x - 2 y = 12 x - 1

Answers

Answer: b

Step-by-step explanation:

When we first learn arithmetic, we focus on working with whole numbers. Then, we extend our understanding to fractions and negative numbers.

In algebra, we transfer these same skills to expressions involving variables. What elementary skills have you used so far in this course, and how have you extended them?

PLESE ANSWER AS FAST AS YOU CAN, IT MEANS ALOT!

Answers

Answer:

I don't think I can remember every skill I was taught through the years but in Kindergarten we used Number Sense so we could understand the meaning of more and less also there's estimation and  PEMDAS. I've also learned how to round up so that the solution is at least around those numbers if the skill is to be applied.

hope that helps

Step-by-step explanation:

High school Geometry

Answers

Answer:

the answer is b. sss is not possible

PLZ HELP
Use the distributive property to remove the parentheses.​

Answers

Answer:

I don't know if i did this correctly because i can't find my notes but i hoped i helped.

Step-by-step explanation:

The swimming pool is open when the high temperature is higher than 20^\circ\text{C}20∘C20, degrees, start text, C, end text. Lainey tried to swim on Monday and Thursday (which was 333 days later). The pool was open on Monday, but it was closed on Thursday. The high temperature was 30^\circ\text{C}30∘C30, degrees, start text, C, end text on Monday, but decreased at a constant rate in the next 333 days.

Answers

Answer:

Inequality: 30 - 3d ≤ 20

Rate of decrease from Monday to Thursday: greater than or equal to 10/3 degrees Celsius per day

Step-by-step explanation:

Translate theconditions into mathematical terms:

HIgh temperature on Monday = T₀ = 30°C.

The temperature decrease at a constant rate in the next 3 days. Call d such rate, so T₃ = T₀ - 3d = 30 - 3d

That the pool is open when the high temperature is higher than 20°C means that, if the pool is closed, then the temperature is less than or equal to (≤) 20°C:

30 - 3d ≤ 20

And that is the requested inequality.

From that, you can solve for the rate of temperature decrease, d:

Add 3d to both sides: 30 ≤ 20 + 3d

Subtract 20 from both sides: 10 ≤ 3d

Divide both sides by 3: 10/3 ≤ d

Apply symmetry property: d ≥ 10/3

Hence, the rate of temperature decrease is greater than or equal to 10/3 degrees Celsius per day, from Monday to Thursday.

Answer:

30 - 3d ≤ 20

d≥10/3

Step-by-step explanation:

Which of the following points lies in the solution set of the inequality y > 3x +10?
(1) (1,10)
(3) (4, 20)
(2) (-1,3)
(4) (2,16)

Answers

Since 3 is greater than -3, hence (-1, 3) lie in the solution set. Option C is correct

In order to determine the points that lie in the solution set of the inequality y > 3x +10, we will substitute the x-coordinate and see if y is greater than the result.

For the coordinate point (1, 10)

y > 3(1) +10

y > 13

Since 10 is not greater than 13, hence (1,10) does not lie in the solution set.

For the coordinate point (4, 20)

y > 3(4) +10

y > 22

Since 20 is not greater than 22, hence (4,20) does not lie in the solution set.

For the coordinate point (-1, 3)

y > 3(-1) +10

y > -7

Since 3 is greater than -3, hence (-1, 3) lie in the solution set.

Learn  more on inequality here: brainly.com/question/24372553

HELP ASAP!! FULL RATING IF AWNSER!
ANSWER ALL PLEASE!!
IM STUCK!

Answers

Answer:

1: 3)

2: 2)

4: 3)

5: 4)

6: 4)

Graph: y =
|x – 4| + 2

Answers

This is a photo of answer

Answer:

  see attached

Step-by-step explanation:

The constants in the function shift the absolute value graph right 4 units and up 2 units. The attachment shows the translated function.

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