The Jurassic Zoo charges $15 for each adult admission and $6 for each child. The total bill for the 185 people from a school trip was $1569. How many adults and how many children went to the zoo?

Answer:

The answer is x = -17/6.

Step-by-step explanation:

Given:

5 1/3 + x = 2 1/2 . Using least common denominator.

Now, to solve the equation:

[tex]5\frac{1}{3}+x=2\frac{1}{2}[/tex]

[tex]=\frac{16}{3} +x=\frac{5}{2}[/tex]

Subtracting both sides from 16/3 we get:

[tex]x=\frac{5}{2}- \frac{16}{3}[/tex]

Now, the least common denominator of 2 and 3 is 6.

So, we using this we calculate:

[tex]x=\frac{5\times 3-16\times 2}{6}[/tex]

[tex]x=\frac{15-32}{6}[/tex]

[tex]x=\frac{-17}{6}[/tex]

Therefore, the answer is x = -17/6.

Answer:

f(x)<=-1/3x+1

Step-by-step explanation:

so to test this you can do

0<=-1/3(0)+1

0<=1

so it's true

Answer:

y [tex]\leq[/tex] [tex]\frac{-1}{3}x[/tex] + 1

Step-by-step explanation:

To find the inequality represented by the graph, we need to find the linear equation that represents the blue line.

As we can see, the:

y intercept: (0, 1)

x intercept: (3, 0)

So the slope of the equation is:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

= [tex]\frac{0-1}{3-0}[/tex] = [tex]\frac{-1}{3}[/tex]

So use the slope and the slope-point formula, we find the linear expression

The standard form is: y = mx+ b

<=> y = [tex]\frac{-1}{3}[/tex] x + b

Substitute the point (0, 1) to find b, we have:

b= y - [tex]\frac{-1}{3}[/tex] x

<=> b= 1 - 0 =1

So the linear equation is: y = [tex]\frac{-1}{3}[/tex] x + 1

After that, we need to take a test point form the shaded area and evaluate the expression. Let the point be: (1, 2), we have:

2 = [tex]\frac{-1}{3} *1[/tex] +1

<=> 2=[tex]\frac{2}{3}[/tex]

We know that 2 > [tex]\frac{-1}{3}[/tex]  this means that the left inequality sign is ≥ , so the  inequality represented by the graph:

y [tex]\leq[/tex] [tex]\frac{-1}{3}x[/tex] + 1

Answer:

Her mouth

right ?!

that was not hilarious but okey

Answer:

She forgot to shut her dum dum bubble gum chromosome flip phone no home smash mouth up.

Step-by-step explanation:

Answer:

Please give brainliest :((

1. r = 0

2. x = 0

3. v = -1

4. a = 1

Step-by-step explanation:

1. -18 + 36r = -18 + 4r

-18 + 32r = -18

32r = 0

r = 0

2. -8x - 14 = -14 - 28x + 4x

-8x - 14 = -14 - 24x

16x -14 = -14

16x = 0

x = 0

3. 5 -8v - 5 = -4 - 12v

-8v = -4 - 12v

4v = -4

v = -1

4. 3a - 18 = -5a - 7 - 3a

3a - 18 = -8a - 7

11a = 11

a = 1

Answer:

16

Step-by-step explanation:

Step 1: Start by setting it up with the divisor 2 on the left side and the dividend 32 on the right side.

Step 2: The divisor (2) goes into the first digit of the dividend (3) 1 time(s). therefore, put 1 on top.

Step 3: Multiply the divisor by the result in the previous step (2 x 1 = 2) and write that answer below the dividend.

Step 4: Subtract the result in the previous step from the first digit of the dividend (3-2=1) and write the answer below.

Step 5: Move down the 2nd digit of the dividend (2)

Step 6: The divisor (2) goes on into the bottom number (12), 6 time(s). Therefore, put 6 on top.

Step 7: Multiply the divisor by the result in the previous step (2 x 6 = 12) and write that answer at the bottom.

Step 8: Subtract the result in the previous step from the number written above it. (12-12=0) and write the answer at the bottom.

That is it.

After Dividing 33 by 2 using long division method we get,

quotient = 16 and remainder = 1

Here we have to divide,

33 by 2 through long division method,

Since we know that,

In mathematics, long division is the procedure of dividing big numbers into smaller groups or sections. It is beneficial to divide a difficulty into small and straightforward steps. Dividends, divisors, quotients, and remainders are all part of the long divisions. The dividend in a long division problem is the enormous number that is divided by another integer known as the divisor. The quotient is the outcome of the division, while the remainder is the extra quantity that cannot be divided.

Therefore, proceed the long division,

2 ) 33 ( 16

  - 2

 _____

    1 3

  - 1 2

________

       1

Hence, After long division we get,

quotient = 16 and remainder = 1

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Answer:

Step-by-step explanation:

[tex](4x+4)(ax-1)-x^2+4\qquad\text{use FOIL}\ (a+b)(c+d)=ac+ad+bc+bd\\\\=(4x)(ax)+(4x)(-1)+(4)(ax)+(4)(-1)-x^2+4\\\\=4ax^2-4x+4ax-4-x^2+4\qquad\text{combine like terms}\\\\=(4a-1)x^2+(-4+4a)x+(-4+4)\\\\=(4a-1)x^2+(4a-4)x\\\\\text{Given expression is equvalent to}\ bx.[/tex]

[tex](4a-1)x^2+(4a-4)x=bx\\\\(4a-1)x^2+(4a-4)x=0x^2+bx\\\\\text{Therefore}\\\\4a-1=0\ \text{and}\ 4a-4=b\\\\4a-1=0\qquad\text{add 1 to both sides}\\\\4a=1\qquad\text{divide both sides by 4}\\\\a=\dfrac{1}{4}\\\\\text{Substitute to the second equation and solve for}\ b:\\\\4\left(\dfrac{1}{4}\right)-4=b\\\\1-4=b\\\\-3=b\to b=-3[/tex]

To find a pricing option with the same unit price as 4 lemons for $0.79, we calculated the unit price per lemon as $0.1975. None of the provided pricing options match this unit price, as they are all significantly higher.

We need to determine the equivalent unit price per lemon to match the store's offer of 4 lemons for $0.79. First, we calculate the unit price for one lemon by dividing the total price of the bag by the number of lemons. So, $0.79 divided by 4 gives us a unit price of $0.1975 per lemon.

Now, let's use this unit price to check which pricing option results in the same unit price. We must find a scenario where each lemon costs $0.1975.

An access fee of $4 and a per-unit price of $4 with 2 units bought would have a unit price of $4, which is too high.

An access fee of $9 and a per-unit price of $4 with 3 units bought would also have a unit price of $4, again too high.

An access fee of $24 and a per-unit price of $3 with 4 units bought would have a unit price of $3, which is also higher than $0.1975.

For the bundle size of 4 units with a bundle price of $36, we would have a unit price of $9 ($36 divided by 4), which is much higher.

The scenario with an access fee of $32 and a per-unit price of $16 for 4 units is also incorrect since the unit price is $16.

None of the given pricing options have a per-unit price of $0.1975.

Answer:

59

Step-by-step explanation:

gabrielle is 6 years older than mikhail and gabrielle's age is 64 soooo therefore 64 minus 6 is 59yo

Answer:

25.36

Step-by-step explanation:

Answer:

[tex]\sqrt{x} 643.14=25.360205046489667529081701292151‬[/tex]

Step-by-step explanation:

S = {1R, 2R, 2R, 4R, 5R, 6R, 1B, 2B, 3B, 4B, 5B, 6B, 1Y, 2Y, 3Y, 4Y, 5Y, 6Y}

Step-by-step explanation:

As there are 6 outcomes of die and 3 outcomes for spinner, the total sample space will have following elements:

n(S) = 6*3 = 18

Each outcome of die will combined with either of the colors

Let R stand for red color

Let B be for blue color

Let Y be for yellow color

So, the outcomes will be:

S = {1R, 2R, 2R, 4R, 5R, 6R, 1B, 2B, 3B, 4B, 5B, 6B, 1Y, 2Y, 3Y, 4Y, 5Y, 6Y}

Keywords: Sample space, Probability

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Answer:

A B C

X can't be equal to - 1

There are 2 answers: choice B and choice F

==========================================

Explanation:

Assuming the second "x+1" is all in the denominator, this will cancel with the first "x+1" in the numerator. I'm using the rule that x/x = 1 where x is nonzero.

What happens after the canceling is that f(x) = x-2. This is a linear equation with positive slope (the slope is 1).

The positive slope means the line goes up as we read it from left to right. As x gets larger, y does too. So we can say [tex]\text{ as } x \to \infty \text{ , } y \to \infty[/tex]

Going in reverse, as x heads off to negative infinity, y does the same as well. Therefore, [tex]\text{as } x \to -\infty \text{ , } y \to -\infty[/tex]

Below is the graph attached as an image to help visually verify the two answers. Note the hole at x = -1 which is due to the fact that this x value makes the original unsimplified version of f(x) to be undefined. Recall that we cannot divide by zero so x+1 cannot be equal to zero.

The equation is in point slope form.

The slope is -3.

Answer:

32 Dollars

Step-by-step explanation:

160 divided by 5 equals 32

Answer: D

Step-by-step explanation:

The number of different 3-digit numbers you can make using the digits 5, 3 and 2 is 6

There are 3 different digits.

And each digit can only be selected once.

This means that the first number can be any of the three, the second number can be any of the remaining 2 and the last can be the last digit

So, we have:

Ways = 3 * 2 * 1

Evaluate

Ways = 6

Hence, the number of different 3-digit numbers you can make using the digits 5, 3 and 2 is 6

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Answer:

4x-12 or 4(x-3)

Step-by-step explanation:

9x+9+2x-7(3+x)

9x+2x+9-21-7x

11x-12-7x

11x-7x-12

4x-12

Answer:

C. 6

Step-by-step explanation:

Constant of Proportionality means the unit rate, but just the number. So to find it would be 1 car has 6 people. So the C.o.p would be 6.

Answer:

The answer is four.

Step-by-step explanation:

II + II= IIII

Answer:

the answer is 4

Step-by-step explanation:

if you have 2 candy bars and are given 2 more you will get 4

Answer:

Add 7 black beads

Step-by-step explanation:

Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.

There are three white beads in the picture.

Total beads we will have (b meaning black)     b : 3

                                  Ratio black : white beads 3 : 1

Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.

Find common ratio by dividing total by ratio white beads: 3/1 = 3

Multiply ratio black beads by common ratio. 3 X 3 = 9

We need 9 black beads in total.

Check answer

9 : 3     Both sides divisible by 3; reduce ratio

= 3 : 1        Correct ratio

There will be a total of 9 black beads, but we already have 2 black beads:

(9 total) - (2 original) = (7 to add)

Therefore we need to add 7 black beads.

To make the ratio of black to white beads 3:1, you need to add 1 more black bead.

To make the ratio of black to white beads 3:1, we need to determine how many more black beads need to be added. Currently, the ratio is 2:3, which means for every 2 black beads, there are 3 white beads. Let's say we have 2x black beads and 3x white beads. To make the ratio 3:1, we need to have 3 black beads for every 1 white bead. This means we need to add x more black beads. Setting up the equation 2x + x = 3(3x), we can solve for x to find out how many more black beads are needed.

Simplifying the equation, we get 2x + x = 9x. Combining like terms, we have 3x = 9x. Subtracting 3x from both sides, we get 0 = 6x. Dividing both sides by 6, we find that x = 0. Since we need an integer value for x, it means we need to add 1 more black bead to make the ratio 3:1.

Therefore, you need to add 1 more black bead to make the ratio of black to white beads 3:1.

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Answer:

574

Step-by-step explanation:

All your doing is subtracting!

Answer:

B is the correct answer, as x - 2 in the exponent would move the graph to the right 2.

Answer:

9 bathrooms

Step-by-step explanation:

9 is their greatest common factor.

give each bathroom 1 bar of soap and 2 toilet paper rolls

Step-by-step explanation:

Since has 9 bars of some and 18 rolls of paper then he can fully stock nine because there are more rolls then bars

let x = the angle

let 2x = supplement of the angle

x + 2x = 180

3x = 180

x = 60

The angles measure is 60 degrees.

Hope this helps!

Answer: 27

Step-by-step explanation:

2/3x-7=11

2/3x=18

1/3x=9

x=27

Answer:

7 has the highest probability

Explanation:

When two dices are rolled simultaneously,

The possible outcomes are:

{1,1}, {1,2}, {1,3}, {1,4}, {1,5}, {1,6}

{2,1}, {2,2}, {2,3}, {2,4}, {2,5}, {2,6}

{3,1}, {3,2}, {3,3}, {3,4}, {3,5}, {3,6}

{4,1}, {4,2}, {4,3}, {4,4}, {4,5}, {4,6}

{5,1}, {5,2}, {5,3}, {5,4}, {5,5}, {5,6}

{6,1}, {6,2}, {6,3}, {6,4}, {6,5}, {6,6}

The sum of digits are

1 2 3 4 5 6 7

2 3 4 5 6 7 8

3 4 5 6 7 8 9

4 5 6 7 8 9 10

5 6 7 8 9 10 11

6 7 8 9 10 11 12

It is noted that 7 is common in every series,

therefore, 7 has the highest probability

Answer:20000

Step-by-step explanation:

30+1000+4000

Answer:

[tex]9c^{8} -30c^{10} + 25c^{12}[/tex]

Step-by-step explanation:

We can use formula (a-b)² = a² -2ab + b².

In our example a = 3c^4 and b = 5c^6

[tex](3c^{4} - 5c^{6})^{2} = [3c^{4} ]^{2} - 2*3c^{4} *5c^{6} + [5c^{6}]^{2}=\\=9c^{8} -30c^{10} + 25c^{12}[/tex]

Expanding and combining the like terms, the expression becomes [tex]9c^{8} - 30c^{10} + 25c^{12}[/tex] .

Given expression is [tex](3c^{4} - 5c^{6} )^{2}[/tex] .

Using Formula -  [tex](a - b)^{2}[/tex]  = [tex]a^{2} - 2ab + b^{2}[/tex]

Expanding the expression, we have -

[tex]9c^{8} - 2*3c^{4}*5c^{6} + 25c^{12}[/tex] [Using the above hypothesis]

[tex]9c^{8} - 30c^{10} + 25c^{12}[/tex]  

As we can see that there is no like terms or common terms in the expansion of the equation, thus we have the final expression as [tex]9c^{8} - 30c^{10} + 25c^{12}[/tex] .

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Answer:

1/3 of a bag of dog food last will last for [tex]\frac{1}{6}[/tex]

Step-by-step explanation:

Given:

Number of  dog bag food used per day by Monroe Pet Store to feed the dog= 2

To find:

Number of days  1/3 of a bag of dog food last=?

Solution:

Let the number days for which the [tex]\frac{1}{3}[/tex] of bag of food lasts be x

For one day= 2 bags

for x days = [tex]\frac{1}{3}[/tex]

By cross multiplication method

[tex]2x=\frac{1}{3}[/tex]

[tex]x=\frac{\frac{1}{3}}{2}[/tex]

[tex]x=\frac{1}{3}\times\frac{1}{2}[/tex]

[tex]x=\frac{1}{6}[/tex]

Sin is negative where as cos is positive in the 4th quadrant.

Step-by-step explanation:

Sin, cos and tan are all positive in the 1st quadrant. Sin is only positive in the 2nd quadrant. Tan is only positive in the 3rd quadrant.Cos is only positive in the 4th quadrant.

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Keywords: graphs, sin, cos, quadrant

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The graphs of sin and cos, while similar in shape and period, are shifted horizontally due to their phase difference. This directly affects their signs in different quadrants, revealing their interconnected nature and dependence on the unit circle representation.

Similarities in Graphs:

Shape: Both sine and cosine graphs share the same sinusoidal wave pattern, meaning they oscillate up and down between their maximum and minimum values.

Period: Both functions have the same period of 2π radians or 360 degrees, meaning they complete one full cycle within this interval.

Amplitude: Both have an amplitude of 1, meaning they oscillate between -1 and 1 on the y-axis.

Shift and Relationship between Signs:

Phase Shift: The cosine graph is essentially the sine graph shifted to the left by π/2 radians (or 90 degrees). This explains why their peaks and troughs don't coincide perfectly.

Signs in Quadrants: This phase shift plays a crucial role in determining the signs of sin and cos in different quadrants:

Quadrant I (0° to 90°): Both sin and cos are positive as they increase in value.

Quadrant II (90° to 180°): Sin remains positive as it continues increasing, but cos becomes negative as it decreases.

Quadrant III (180° to 270°): Both sin and cos are negative as they decrease in value.

Quadrant IV (270° to 360°): Sin becomes positive as it increases, but cos remains negative as it continues decreasing.

Underlying Connection:

These relationships can be further explained by their definitions based on the unit circle:

Sine: sin(θ) represents the y-coordinate of a point on the unit circle when the angle θ is measured from the positive x-axis counterclockwise.

Cosine: cos(θ) represents the x-coordinate of the same point.

Therefore, as θ moves around the circle, the signs of sin and cos change based on their positions relative to the axes.

Answer:

The solution in the attached figure

see the explanation

Step-by-step explanation:

we have

[tex]y < -\frac{1}{2}x+2[/tex]

The solution of the inequality is the shaded area below the dashed line

[tex]y=-\frac{1}{2}x+2[/tex]

The slope of the dashed line is negative [tex]m=-\frac{1}{2}[/tex]

The y-intercept of the dashed line is the point (0,2)

The x-intercept of the dashed line is the point (4,0)

using a graphing tool

The solution in the attached figure

Remember that

Any point that lie on the shaded area is a solution of the inequality and if a point is a solution of the linear inequality, then the point must satisfy the inequality

Answer:

Your answer choices are:

(2, 3)

(2, 1)

(3, –2)

(–1, 3)

Step-by-step explanation:

YOUR ANSWER IS

(3, -2)

I hope this helps!