The entry ticket to a local football game costs $10 for an adult and $5 for a child. A group of 100 people paid an entry fee of $710. How many adults and how many children were there in this group?

Answers

Answer 1

Answer: Adults = 58

Children = 42

Step-by-step explanation:

Let adults be denoted as a

Let Children be denoted as c

a + c = 100 ...... i

10a + 5c = 710 ...... ii

Multiply I by 5

Multiply ii by 1

5a + 5c = 500 ...... iii

10a + 5c = 710 ...... iv

Subtract iii from iv

5a = 210

a = 210/5

a = 42

Since a + c = 100

c = 100 - 42 = 58.

Adults = 58

Children = 42


Related Questions

A closed container has 3.06 ⋅ 1023 atoms of a gas. Each atom of the gas weighs 1.67 ⋅ 10–24 grams. Which of the following shows and explains the approximate total mass, in grams, of all the atoms of the gas in the container?

A. 0.47 grams, because (3.06 + 1.67) ⋅ (1023 ⋅ 10–24) = 4.73 ⋅ 10–1
B.0.51 grams, because (3.06 ⋅ 1.67) ⋅(1023 ⋅ 10–24) = 5.1102 ⋅ 10–1
C.4.73 grams, because (3.06 + 1.67) ⋅ (1023 ⋅ 10–24) = 4.73
D.5.11 grams, because (3.06 ⋅ 1.67) ⋅ (1023 ⋅ 10–24) = 5.1102

Answers

Answer:

Step-by-step explanation:

The correct answer is not the first answer, but the second answer in the middle. The third answer is the correct one because, since it has the correct exponent, that is, 0.51 grams.

_________________________________________________________

The approximate total mass is the number of atoms multiplied by the weight of an atom.

The approximate overall mass=3.06 10²³ atoms. (1.67 10⁻²⁴ grams/1 atom) which is equivalent to a mass of 0.51 grams. (1.67 10⁻²⁴ grams/1 atom) = 0.51102 g ≈ 0.51 g

Answer: B. 0.51 grams, because (3.06 ⋅ 1.67) ⋅(1023 ⋅ 10–24) = 5.1102 ⋅ 10–1

Answer:

long story short, the answer is B, 0.51 grams, because (3.06 ⋅ 1.67) ⋅(1023 ⋅ 10-24) = 5.1102 ⋅ 10-1

Step-by-step explanation:

:)

cual es el triple de 2+3/4×7​

Answers

Answer:

87/4

Step-by-step explanation:

Answer:

your answer would be 7.25

Can someone please help me with this question!

Answers

The graph does not represent a function because there are 2 points on the same axis ( T , Z)

Answer:

see explanation

Step-by-step explanation:

For the relationship to be a function then each value of x must map to exactly one unique value of y.

This is true for the points except Z andT, where

x → 3 (Z) and x → 5 (T)

This means the relation is not a function

(please explain)2. Write the fact families for the number 144,12, and 12.​

Answers

Answer:

12 x 12 = 144

144  ÷ 12 = 12

Step-by-step explanation:

12 times 12 is 144 and the opposite of multiplication is division, the sum goes in front when you divide

:))))))))))))))))))))

Answers

Answer:

2) 2.75<d is the right answer

Step-by-step explanation:

Here, the graph shows d is greater 2.75 but not equal to 2.75.

Let f(x) = x + 8 and g(x) = x2 - 6x - 7. Find f(g(2)).

1) -7

2) -3

3) 10

4) 33

Answers

Answer:

Step-by-step explanation:it 10 cause there is no negative in this equation it’s only subtraction and you subtract and you get the number 10 I got this right

help pleAse, this is extra credit and I do not want to fail this quarter

Answers

Answer:

Jamie will need 6 cups of milk.

Step-by-step explanation:

Given that:

A recipe calls for 2 cups of milk for each batch of pancakes.

1 batch of pancakes = 2 cups of milk

As Jamie is going to triple her recipe, thus the amount of milk in the recipe will also be tripled.

3 batches of pancakes = 2*3 cups of milk

3 batches = 6 cups of milk

Hence,

Jamie will need 6 cups of milk.

f(x) = -x^2 - 7x - 5
Find f(-5)

Answers

Wherever you see an x, replace it with -5
So f(-5) = -(-5^2) -7(-5) -5
= -(25) + 35 - 5
= -25+30
= 5

Plan A: Pay a $10.00 initiation fee per family, then pay a
discounted price of $1.75 per person to visit the
museum.
Plan B: Pay $2.75 per person per visit to the museum.
For each of the problems below, write an equation to
represent the situation and use the equation to solve the problem.


1. Jayden and his brother choose Plan A. During the summer, they spend a total of $38. How many times did the boys visit the museum?


2. Maria and her sister also like to visit the museum. They choose Plan B and spend a total
of $38.50. How many times did the girls visit the museum?

Answers

Step-by-step explanation:

y = the cost of all visits to the meuseum

x = the number of visits

Plan A calls for $1.75 per per, per visit. There are two people so each visit for will cost $3.50 for both. This is the Slope of your line. This plan also requires an initial cost of $10 for 0 visits, this is your y intercept, or b in the point Slope form.

Put all that together for y = 3.5x + 10

The 1st question requires finding the number of visits possible for $38.00, this is the y value at x visits.

Solve

38.00 = 3.5x + 10. Subtract 10 from both sides

28.00 = 3.5x. divide both sides by 3.5

x = 8 visits for each Hayden and his brother.

Plan B is just paying $2.75 per person, per visit. For both Maria and her sister the cost would be $5.50 per visit. This is the Slope.

There is no initial cost so the equation is

y = 5.50x

How many times can they go for $38.50

$38.50 = 5.50x solve for x

x = 7 visits for Maria and her sister. They should have gone with plan A. They would have been able to go to the museum one more time and each saved a quarter.

The ratio of Kirk's weight to his father's weight is 1 to 4. If Kirk's father weighs 168 pounds, how many pounds does Kirk weigh?
A
38
В.
42
47
D
52

Answers

Answer:

I got B, 42.

Step-by-step explanation: What I did was set up a proportion 1/4 = x/168, 1x168=168, 168/4=42.

file:///Users/shantanu/Desktop/Screen%20Shot%202021-01-29%20at%204.38.25%20PM
Please

Answers

Answer: I can’t open it sorry

Step-by-step explanation:

Answer:

Same here :(

P.S. : Can I get brainliest please?

I need this answer urgently .pls how make u brainliest ​

Answers

if that is 110 degrees
every full triangle adds up to 180 degrees so if you do 180-110 that equals 70 so a must be 70 degrees i believe, i’m not too sure what the rest are sorry!

please find RQ i cant do it

Answers

Answer:

74

Step-by-step explanation:

NP is half of RQ (triangle midpoint theorem)

37 x 2=74

Solve this for me please

Answers

Answer:

y=-3.2x+6

Step-by-step explanation:

What is the maximum number of visits a member of the science museum can make for a total cost of $70?

Answers

Answer:

I need to know the cost of one visit

Can I pls get help on this question pls

Answers

Answer:

the answer is B.

Step-by-step explanation:

The answer is B hope this helps

Solve 4(t+1)= 6(g-4)

Answers

Answer:

Step-by-step explanation:

Simplifying

4(t + 1) = 6(g + -4)

Reorder the terms:

4(1 + t) = 6(g + -4)

(1 * 4 + t * 4) = 6(g + -4)

(4 + 4t) = 6(g + -4)

Reorder the terms:

4 + 4t = 6(-4 + g)

4 + 4t = (-4 * 6 + g * 6)

4 + 4t = (-24 + 6g)

Solving

4 + 4t = -24 + 6g

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + 4t = -24 + -4 + 6g

Combine like terms: 4 + -4 = 0

0 + 4t = -24 + -4 + 6g

4t = -24 + -4 + 6g

Combine like terms: -24 + -4 = -28

4t = -28 + 6g

Divide each side by '4'.

t = -7 + 1.5g

Simplifying

t = -7 + 1.5g


In a grid of an auditorium, the vertices of a section of seats are A (40, 20), B (80, 20), C (100, 70),
and D (40, 70). The coordinates are measured in feet. Find the area of the section.

Answers

Answer:

2500

Step-by-step explanation:

there you go haha

What is the value of (33 - 2 × 7) + (5 × 3 - 22) ?

Answers

Answer:

12

Step-by-step explanation:

Keep in mind the rules of PEMDAS

P (parenthesis)

E (exponents)

M (multiply)

D (division)

A (addition)

S (subtraction)

Because parenthesis is the first operation in PEMDAS, you would start by calculating inside the parenthesis

We can start with the numbers inside the first parenthesis

(33 - 2 × 7)

Start by multiplying 2 and 7 because the M comes before the S

(33 - 2×7)= (33- 14)

Now subtract 14 from 33

(33-14) = 19

Step 2: Calculate inside the second parenthesis

(5 × 3 - 22)

Multiply first

(5 × 3 - 22)= (15 - 22)

Subtract!

(15 - 22)= -7

Now add the final number together

(why? There is an addition sign between the two parenthesis ordering us to add the final numbers together)

19 + (-7)

19-7

12

I hope this helps!!!

HELP I NEED HELP ASAP

Which equation represents the line that has a slope 5 and passes through the point (0,-2)
A. y = 5x - 2
B. y = x-3
C. y = 5x
D. y = -2x - 5

Answers

Answer:

A

Step-by-step explanation:

because the -2 is where the point is and the slope will start there so when you draw a line the line will pass by (0,-2)

Write the equation of a line in slope-intercept form that passes through (0, 7) and has a slope of -23.

Answers

Answer:

y = -23x + 7

Step-by-step explanation

We are using the equation y = mx + b.

The slope (m) is -23, so it would be y = -23 + b.

b is the y-intercept, and the ordered pair that gives us the y-intercept is (0,7).

Remember that the y-intercept is what the y-coordinate is equal to when the x-coordinate is 0.

John is buying a TV that costs $1250. He currently has $200 saved and is
saving an additional $50 per week. How many weeks will it take John to
have $1250 saved?
Your answer

Answers

Answer:

21 weeks or 5 months 1 week (7 days) to save 1250

Step-by-step explanation:

1250-200 (the amount he has)

1050 which is what he needs to save for

1050/50 = 21

Please help me i make my questions worth more, and give brainliest....

What is the solution for the following equation?

y=2x^2+10x+12

a. x=-2 and x= -3
b.x=2 and x=3
c.x=-2 and x=3
d.x=2 and x=3

Answers

Answer:

Option A

Step-by-step explanation:

2x^2+10x+12

Divide through by 2

x^2 +5x+6=0

x^2 +3x+2x+6

x(x+3)+2(x+3)=0

(x+2)(x+3)=o

x=-2 or x=-3

Answer:

A

Step-by-step explanation:

I believe its A cause i just did the same question

Please help 50 pts This is hard and I dont understand it I need answers quick. Thanks Have a good day

Answers

250 is your answer because the feet is 10 times the cm so 25x10=250
250 because 25x10= 250

How do I solve this?

Answers

Answer: x = 15; y = 32; z = 2.5

see in the picture, u can see that this parallelogram has a right angle and two adjacent equal edges.

=> this parallelogram is a square

=> the diagonal lines of the parallelogram   are perpendicular to each other

=> m∠1 = 90°

⇔ 3y - 6 = 90

⇔ 3y = 96

⇔ y = 32

because this is a square

=> 3x = 18z = 45°

=> x = 15

    z = 2.5

Step-by-step explanation:

what is the answer to 2(-2x+2)+x+3=37

Answers

Answer:

the answer is x=−10

Step-by-step explanation:

hoped I helped:)

!!PLEAS HELP!! ASAP!! WILL GIVE U BRAINLYEST!!

Ana and her friends went to the carnival. While looking at the ferris wheel, they
estimated the distance from one side of the terris wheel to the other side to be about 40 feet.
If their estimation is correct, what would the distance around the ferris wheel be?

!!pleas help me :(!!

Answers

Answer:

answer is in the step by step explanation.

Step-by-step explanation:

40 feet is the diameter so 20 feet is radius. 2 times pi times 20 is 125.663706144. if pi is 3.14 then it's 125.6. I hope that answered your question.

ression x3 + 5x-2 when x = 2.
?

Answers

Answer:

16 or 14 depending on that 3 after the first x

Step-by-step explanation:

(2)^3+5(2)-2

8+10-2

18-12=16

OR

(2)3+5(2)-2

6+10-2

16-2=14

How to find the area of a circle with a diameter of 5cm

Answers

Answer:

19.63

Step-by-step explanation:

Find the radius

5 / 2 = 2.5

2.5² = 6.25

6.25 × π = 19.63

Which choice is correct?​

Answers

Answer:

3rd one

Step-by-step explanation:

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