The admission fee at a local zoo is $1.50 for children and $3.00 for adults. On a certain day, 2400 people enter the zoo and $4,800.00 is collected. How many children and how many adults?​

Answer:

x=7

Step-by-step explanation:

5(x - 3) = x + 13

Distribute the 5

5x-15 = x+13

Subtract x from each side

5x-15-x = x+13-x

4x-15 =13

Add 15 to each side

4x-15+15 = 13+15

4x= 28

Divide each side by 4

4x/4 = 28/4

x = 7

Answer:

x = 7

Step-by-step explanation:

First

5(x - 3) = 5x - 15 by distributing the 5 on each variable and number in the parenthesis.

Then

5x - 15 = x + 13 which you add 15 (or 5x - 15 + 15 = x + 13 +15) on both sides to have the numbers on one side because it must be the opposite to cancel out the 15 on the original/previous side.

Afterwards

5x = x + 28 now we must get the x to the other side and using the same logic as before you move the x to the other side by subtracting it (or 5x - x = x + 28 - x) to the other side equaling 4x = 28.

Finally

4x = 28 you need to divide each side by 4 to cancel out the 4 on the x since we must find out what x is (or 4x/4 = 28/4), and you should get x = 7.

Answer:

1.A

2.B

3.C

4.B

5.B

6.B

7.C

8.C

9.C

10.A

It's not far to the town centre and it's quicker if you go on foot. We are moving our furniture with lorry. Which stop does the train to Norwich leave from? For the History museum get off the bus at the next stop. I can't park at the bus station but I can drop you off outside when you arrive.

Museums and galleries generally provide insight into human history. The lessons we may learn from historical occurrences, wonders, and tragedies are inestimably important, even though no museum claims to provide a complete picture. This is especially true when things are tumultuous.

In the interest of society, a museum investigates, gathers, conserves, interprets, and presents both tangible and intangible history. Through accessibility, inclusivity, and public accessibility, museums promote diversity and sustainability.

Thus, The bus fare is more expensive now than it was the last time I was here. Excuse me, does the ticket machine give change? Excuse me, does the ticket machine give change? There is a taxi rank right outside the train station. What time do you want me to pick you up from the station? We have to  check in at the airport two hours before the plane leaves.

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Answer:

Infinite.

Step-by-step explanation:

[tex]-17+2(1+3x)=x-5(3-x)[/tex]

Expand:

[tex]-17+2+6x=x-15+5x[/tex]

[tex]6x+15=6x+15[/tex]

[tex]6x=6x[/tex]

[tex]0=0[/tex]

Since 0=0 is true, then there are infinite solutions as no matter what value you put in for x, it will never affect the outcome of 0=0 which is true.

Answer:

Step-by-step explanation:

The shortest root is when you go to next level down at each move.

From the black triangle you can move to 3 triangles below. The level below has 5, then 7, then 9 triangles.

The number of shortest roots is:

Correct choice is E

Answer:

Step-by-step explanation:

[tex] = > b - \frac{7}{4} = - \frac{2}{3} [/tex]

[tex] = > b = - \frac{2}{3} + \frac{7}{4} [/tex]

[tex] = > b = \frac{ - 8 + 21}{12} [/tex]

[tex] = > b = \frac{13}{12} \: or \: 1 \frac{1}{12} [/tex]

Answer:

3.75 lt or 3750 mlts

Step-by-step explanation:

Answer:

70x = 35

100

cross multiply

70x= 35 × 100

70x= 3500

divide both side by 70

70x = 3500

70 70

x= 50miles

Answer:

x=-16

y=-11

Explanation:

2x-4y=12

x-3y=17

first multiply all the numbers of the bottom equation by -2

2x-4y=12

-2x+6y=-34

then cancel the x's, and add the other numbers

2y=-22

solve for y

y=-11

plug y into either the original top or bottom equations

2x-4(-11)=12

2x+44=12

2x=-32

x=-16

or

x-3(-11)=17

x+33=17

x=-16

Answer:

M/140 = 50/60 or C

Step-by-step explanation:

Since the total is 200 it will be the denominator but we already have 60 gallons so we do 200-60=140

the ratio is 50 per 60

Answer:

18 student gave there speech yesterday

36 students gave there speech today

Step-by-step explanation:

54 total

54 * 1/3 = 18 student gave there speech yesterday

54*2/3 = 36 students gave there speech today

Hope this helps!

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Thanks!

Answer:

M: (-2,6)

M': (-2,-6)

X coordinate

Answer:

D Each package has 8 yellow candle chips. A total of 18 packages will have 144 yellow candle chips.

Step-by-step explanation:

8/1 is proportional to 144/18

In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.

Given that, a candle factory makes colored candles to sell in packages.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

A) Does not a represents a proportional relationship

B) Does not a represents a proportional relationship

C) The cost of one package is $1.98 and the cost of 10 packages is $16.99.

Here, the number of packages increases, the cost also increases. So, it is direct proportion.

D) In one package there are 8 yellow candle chips and 18 packages will have 144 yellow candle chips.

Here, the number of packages increases, the number of chips also increases. So, it is direct proportion.

In option C and D the number of object increases other object also increases. Therefore, options C and D are the correct answers.

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Answer: it takes 1/5 revolutions per foot and the slope is 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

let x be the number of ADDITIONAL throws

(12 + x) / (15 + x) = 0.85

12 + x = 0.85(15 + x)

12 + x = 12.75 + 0.85x

0.15x = 0.75

x = 5 more successful consecutive throws. or 17 out of 20

9514 1404 393

Answer:

Step-by-step explanation:

The slope of the line is "rise"/"run". Here, the "run" is given as (27 s -12 s) = 15 s. So, we have ...

  (change in distance)/(15 s) = -4/5 m/s

  change in distance = (-4/5 m/s)(15 s) = -12 m

The ride descended 12 meters in the time indicated on the graph.

__

Again, the slope is "rise"/"run".

  65 mi/h = (318 mi -123 mi)/(travel time)

  travel time = (195 mi)/(65 mi/h) = 3 h

The car took 3 hours to get from 123 miles to 318 miles.

9514 1404 393

Answer:

  (c)  (–5, 4)

Step-by-step explanation:

The rule for reflection across the line y=x is ...

  (x, y) ⇒ (y, x)

  G(4, -5) ⇒ G'(-5, 4)

Answer:

Step-by-step explanation:

-5x + 35 = 40

Subract 35 from both sides -5x + 35 - 35 = 40 - 35  = (-5x = 5)

Divide -5 from both sides -5x / -5 = 5 / -5 =

x = -1

Answer:

x= -1

Step-by-step explanation:

First subtract 35 from both sides to get -5x by itself:

-5x+35=40

-35       -35

-5x=5

Then divide by -5:

[tex]\frac{-5x}{-5}[/tex] = [tex]\frac{5}{-5}[/tex]

x=-1

Hope this helps! :)

Answer:

Step-by-step explanation:

30,000 /10,000= 3 months

Answer:

Step-by-step explanation:

If 2% × 410 = 8.2 => Divide 8.2 by 410And see if we get as a result: 2% Note: Multiply a number by the fraction 100/100, and its value doesn't change.

Answer:

m = 410

Step-by-step explanation:

Let the number be n.  Then:

 8.2

--------- = 0.02

    n

Cross-multiplying yields 0.02n = 8.2, from which we find n = 410

Recall that a percentage, such as 2%, is equivalent to a decimal fraction, such as

2%

-------- = 0.02

100%

Answer:

Step-by-step explanation:

Given functions:

The g(x) is a translation of f(x) down 3 units, as g(x) = f(x) + b is a vertical shift b units (up if b > 0, down if b < 0)

The second part of question is unclear as drop down is not visible to us

Implementating the given algorithm in python 3, the greatest common divisors of (124 and 244) and (4424 and 2111) are 4 and 1 respectively.

The program implementation is given below and the output of the sample run is attached.

def gcd(a, b):

#initialize a function named gcd which takes in two parameters

if a>b:

#checks if a is greater than b

return gcd (b, a)

#if true interchange the Parameters and Recall the function

elif a == 0:

return b

elif a == 1:

return 1

elif((a%2 == 0)and(b%2==0)):

#even numbers leave no remainder when divided by 2, checks if a and b are even

return 2 * gcd(a/2, b/2)

elif((a%2 !=0) and (b%2==0)):

#checks if a is odd and B is even

return gcd(a, b/2)

else :

return gcd(a, b-a)

#since it's a recursive function, it recalls the function with new parameters until a certain condition is satisfied

print(gcd(124, 244))

print()

#leaves a space after the first output

print(gcd(4424, 2111))

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Answer: c 17

Step-by-step explanation:

Easy

Answer:

C. $17

Step-by-step explanation:

85 x (1/5) = 17

Answer:

Which grade math is this? I haven't learned it

Answer:

1. A

2. B

Step-by-step explanation:

It would look like y = -m(x) + b.

For example, m is 1 and b is 0. (You can try any random numbers, but I tried to find the simplest one so it's easy for us to see.) The equation will be y= -x. (you can substitute random numbers in here, too)

If x = 3, y = -3 ; x = 5, y = -5  (x increases, y decreases)

If x = -1, y = 1 ; x = -5, y = 5 (x decreases, y increases)

As you can see from the example,

If the value of x increases, the value of y will decrease and vice versa

For the negative slope equation y = -x as the value of x increases y decreases.

Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.

Given that the graph of a linear function has a negative slope. Suppose the equation with a negative slope is y = -x.

It would look like y = -m(x) + b.

As an illustration, m is 1 and b is 0. (You can try any random number; however, I looked for the most straightforward one so that we could easily observe it.) It will be written as y=-x. (You can also omit this and use random numbers)

If x = 3, y = -3 ; x = 5, y = -5  (x increases, y decreases)

If x = -1, y = 1 ; x = -5, y = 5 (x decreases, y increases)

Therefore, for the negative slope equation y = -x as the value of x increases y decreases.

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Answer:

Step-by-step explanation:

Domain: the values that the x cannot be (in this case, the values that make the denominator equal to 0)

x²-5x+6=0

(x-2)(x-3)=0

x≠ 2, 3

in interval notation: (-∞,2)∪(2,3)∪(3,∞)

We just determined that x≠2 or 3 which means that the vertical aysmptotes are

x= 2,3

To find the holes graph both the numerator and denominator then see if anything cancels

2x²+x= x(2x+1)

x²-5x+6= (x-2)(x-3)

because nothing more to do here there are no holes