An amusement park sells adult tickets and children’s tickets, with adults tickets costing $5 and children’s tickets costing $3. If Ed bought 15 tickets and spent a total of $57, how many children’s tickets did he buy? 3 5 6 9

Answer:

y = 4/3

Step-by-step explanation:

The required value of fraction y is 4/3.

Given that,

[tex]\frac{y}{1\frac{7}{9} } = 3/4[/tex]
Fraction y is to be determined by simplification.

The process in mathematics to operate and interpret the function to make function simple or more understandable is called simplifying and the process is called simplification.

Fraction is defined as the number of compositions that constitute the Whole. Fraction is represented as x = a / b where the upper value is termed as the numerator and the lower value is the denominator.

⇒Simplification

[tex]\frac{y}{1\frac{7}{9} } = 3/4[/tex]                                                                          ( 1 + 7 / 9 = 16 / 9)
[tex]\frac{y}{\frac{16}{9} } = 3/4[/tex]               (Transposition of 16/9 from the denominator to the right)
y  = 3 / 4 * 16 / 9
y = 4 / 3

Thus, the required value of fraction y is 4/3.

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Answer:

See below.

Step-by-step explanation:

The y intercept is 4 so you can mark a point on the line at (0, 4).This is a point on the y-axis 4 units up from the origin (origin is where the axis cross).

The slope is negative so the line will rise to the left.

Mark a point which is  1 unit  horizontally to the left of point (0, 4) and 5 units vertically upwards.

Then draw the line to pass through this point  and the point (0, 4)

The equation of the line is y = -5x + 4.

The formula for calculating the size of the population after t years using continuous growth is [tex]A = 100e^{2t}[/tex], making option B the right choice.

Continuous growth in the initial amount P, after time period t, and at the rate of r per time period gives the final amount as: [tex]A = Pe^{rt}[/tex]

In the question, we are asked to suppose that a population begins at a size of 100, and grows continuously at a rate of 200% per year, and are asked for the formula for calculating the size of that population after t years.

The given case can be shown as a continuous growth, with:

Initial population, P = 100,

Rate of growth, r = 200% = 2, and,

The time period, t years.

Thus, the formula for calculating the size of that population after t years can be shown using the formula: [tex]A = Pe^{rt}[/tex], as:

[tex]A = 100e^{2t}[/tex].

Hence, the formula for calculating the size of the population after t years using continuous growth is [tex]A = 100e^{2t}[/tex], making option B the right choice.

Learn more about continuous growth at

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Answer:

13 inches

Step-by-step explanation:

Draw a square and draw a diagonal line through it. It creates a right triangle. So we can then use the Pythagoras theorem to find the length of the object at it's max. so we do a^2+b^2=c^2. So we do (12*12) + (5*5) = 169 and the square root of 169 is 13.

Answer:

variation constant = k = 8

equation of variation : y = 8x

Step-by-step explanation:

Any relationship of variation can be written as y = kx

where k is the variation constant.

_______________________________________

Let the equationof relation between y and x be y =kx here as well

given

y = 16 when x = 2

substituting this value in the equation y = kx

16 = k*2

=> k = 16/2 = 8

Thus,

variation constant = k = 8

equation of variation : y = 8x

Answer:

50°

Step-by-step explanation:

Recall that an inscribed angle is half the arc length. Since Angle A measures 50°, this means that the arc length of BC (the intercepted arc) is 100°.

Arc BC is also representative of Angle D. In other words, the measure of angle D is half of 100°.

Angle D = 50°.

Answer:

d = 50°

Step-by-step explanation:

Inside a circle we can have inscribed angles (angles with the three points on the circle). These angles are half the length of the arc they inscribe.

The arc BC is inscribed by the angle of 50°, so we have:

[tex]50 = mBC/2[/tex]

[tex]mBC = 100\°[/tex]

The angle d inscribes the arc BC, so we have:

[tex]d = mBC/2[/tex]

[tex]d = 100/2[/tex]

[tex]d = 50\°[/tex]

Answer:

24 x 8 ÷ 2

Step-by-step explanation:

Because need to use the straight line to find the area and divide by 2 because it is half of square

Answer:

108 cm²

Step-by-step explanation:

Area of trapezium = 1/2(a+b)h

1/2(1+8) x 24=

4.5 x 24 =

108 cm²

I hope this helped!!

Answer:

25 houses on prince street

Step-by-step explanation:

add them up and bam

Answer:

25 houses

Step-by-step explanation:

You need to add up all the houses and u will get the ans..

Have a good day !!

Hope this helps..

Answer:

[tex]\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }[/tex]

Step-by-step explanation:

Hello,

We need to express this parabola using this kind of expression

   [tex]y=a(x-b)^2+c[/tex]

and then, the line of symmetry will be the line x = b

Let's do it !

[tex]\text{*** Complete the square ***} \\ \\ x^2+x=x+2\cdot \dfrac{1}{2}\cdot x=(x+\dfrac{1}{2})^2-\dfrac{1^2}{2^2}=(x+\dfrac{1}{2})^2-\dfrac{1^2}{4} \\ \\ \text{*** Apply it to our parabola } \\ \\y=-x^2-x+2=-(x^2+x)+2=-[(x+\dfrac{1}{2})^2-\dfrac{1}{4}]+2 = -(x+\dfrac{1}{2})^2+\dfrac{1+2*4}{4}= -(x+\dfrac{1}{2})^2+\dfrac{9}{4} \\ \\ \text{*** It comes ***} \\ \\ \Large \boxed{\sf \ \ y=-(x+\dfrac{1}{2})^2+\dfrac{9}{4} \ \ }[/tex]

So the line of symmetry is

[tex]\huge \boxed{\sf \ \ x=-\dfrac{1}{2} \ \ }[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

32 ounces

Step-by-step explanation:

18+14=32

32 is the total

Answer:

32 ounces

Step-by-step explanation:

She already drank 18 ounces and 14 ounces was left which means that If she didn't drink anything it would have been 32 ounces as 18 + 14 = 32

Hope this helps and pls mark as brainliest : )

Answer:

18

Step-by-step explanation:

3/4 of 24 is 18

Answer:

Option D.

Step-by-step explanation:

Note: The given function is incomplete. Consider the given function as [tex]M(t)=N(1+r)^t[/tex].

The number of members at month t is  

[tex]M(t)=N(1+r)^t[/tex]

where,

N is the initial number of members.

r is the rate of increase.

t is number of months

Here, N is constant. So, option A is incorrect.

N is initial value and (1+r) is growth factor. So, option B is incorrect.

The given function is an exponential function.

The value of M is a product of N and a factor that does not depend on N.

Therefore, the correct option is D.

Answer:

The graph of the equation y=3x-2 is shown in the picture below!!

Step-by-step explanation:

I hope this helps, if it does please mark brainliest!! Thank you!! Have a great day!

Answer:

5

Step-by-step explanation:

When squaring the number 5 (i.e [tex]5^2[/tex] ) the answer is 25. [tex]5^{2}[/tex] is the same thing as 5 times 5. Basically with the square root, you are going backwards, so you are therefore finding the base of it all.

We have a square that has area of 25 square units. The question is: what is the side length? That would be 5 since 5*5 = 25. You would use guess and check if you weren't familiar with square roots. A better option is to use the square root function on the calculator.

Note: the square root undoes the squaring operation

Answer:

[tex]area = \frac{8}{3}pie ft^2[/tex]

Step-by-step explanation:

Area of sector is given as θ/360*πr²

Where,

θ = central angel of sector, m < DCE = 60°

r = radius = 4 feet

Area of sector = [tex] \frac{60}{360}*pie*4^2[/tex]

[tex] area = \frac{1}{6}*pie*16[/tex]

[tex] area = \frac{1*16}{6}*pie[/tex]

[tex] area = \frac{16}{6}*pie[/tex]

[tex]area = \frac{8}{3}pie ft^2[/tex]

Area of the sector = 8/3π ft²

Answer:

2.7

Step-by-step explanation:

2.5/5.8 = BD/6.2

BD = 2.7

Answer: 2.7

Step-by-step explanation: 2.5/5.8 = BD/6.2

BD = 2.7

Answer:

Jared attempted 60 shots.

Zach attempted 70 shots.

Step-by-step explanation:

Answer:

[tex]\frac{n}{4}-1[/tex]

Step-by-step explanation:

If we have a pizza that has [tex]n[/tex] slices and we want to split it between 4 friends, then each friend will get [tex]\frac{n}{4}[/tex] slices.

Now, Harris is one of those friends so he receives  [tex]\frac{n}{4}[/tex]  slices, but he eats one less than he receives. Therefore, we subtract one from this expression to get our final answer of [tex]\frac{n}{4}-1[/tex].

Hope this helped!

Answer:

(n/4 - 1) slices

Step-by-step explanation:

The pizza would be divided into n slices, which in turn would be split among 4 people:

   n slices

----------------- = (n/4) slices per person

  4 people          

Harris must have eaten (n/4 - 1) slices.

Explanation:

Use the slope formula. We subtract the y values together, and do the same for the x values as well. Subtract in the same order each time. Then you divide the two results. Reduce the fraction if possible.

m = (y2 - y1)/(x2 - x1)

m = (14 - 18)/(30 - (-20))

m = (14 - 18)/(30 + 20)

m = -4/50

m = -2/25

Answer:

[tex]-\frac{2}{25}[/tex]

Step-by-step explanation:

Slope is rise over run.

[tex]m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}[/tex]

We are given the points (–20, 18) and (30, 14).

[tex]m=\frac{14-18}{30+20}=\frac{-4}{50}=-\frac{4}{50}=-\frac{4/2}{5/2}=\boxed{-\frac{2}{25}}[/tex]

The slope is -2/25.

Brainilest Appreciated.

Answer:

a = 16

Step-by-step explanation:

To solve your question all you have to do is subtract 15 on both sides so,

15 - 15 + a = 31 - 15

Which will give you,

15 - 15 = 0

31 - 15 = 16

So,

a = 16

Hope this helps!!

Answer:

Step-by-step explanation:

[tex]15 + a = 31[/tex]

Move constant to R.H.S and change its sign

[tex]a = 31 - 15[/tex]

Subtract the numbers

[tex]a = 16[/tex]

Hope this helps..

Best regards!!

The equation turns into:

400+70+6+0.6+0.03+0.07

which equals:

476.637

The second equation becomes 4+ 68/1000, which becomes 4.068.

Hope this helps!

Hey there! I'm happy to help!

First, we arrange the numbers from least to greatest.

26,29,31,31,32,37,43

The median here is 31 because it is the middle number. The three numbers before it is one half of it and the last 3 numbers are their own half, because you cannot split the 31 between the two halves.

Now, we want to find the first quartile. This is basically the media of the first half of numbers. So, our first half consists of 26,29, and 31.

The middle number of this first half is 29.

So, our Q1 (first quartile) is 29.

Now, for the third quartile. We do the exact same thing here but with the second half.

32,37,43

Looking at this, our Q3 is 37

The interquartile range is how far apart Q1 and Q3 are, so to find it, we subtract our Q1 from the Q3.

37-29=48

Therefore, our IQR is 8.

Congratulations! Now you can find the IQR of a data set! Have a wonderful day! :D

Answer:

8

Step-by-step explanation:

You first put the numbers in order. Then you find the median(in this case, 31) and after that you find the Q1 and Q3(think of Q1 as the median of the lower half and Q3 as the mdian of the upper half.) Subtract Q1 from Q3, in this case, 37-29=8. 8 is the IQR or the interquratile range.

Answer:

96

Step-by-step explanation:

Using side b as the base, 4 points makes 3 bases (the space in between).  With three bases, you can have 3 bases of 1 segment, 2 bases of 2 segments, and 1 base of 3 segments.  This equals 6 bases. Each of these can connect to a point on line a. 6x6=36

Using side a as the base, 6 points makes 5 bases.  With 5 bases, you can have 5 bases of 1 segment, 4 bases of 2 segments, 3 bases of 3 segments, 2 bases of 4 segments, and 1 base of 5 segments.  This equals 15 bases.  Each of these can connect to a point on line b.  15x4=60

36+60=96

Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Displacement vector R = 2i + j +  3k

Unit vector along displacement vector

= R / I R I

= ( 2i + j +  3k )  / √ ( 2² + 1² + 3² )

= ( 2i + j +  3k )  / √ 14

Now force F acts in the direction of this unit vector . It is magnitude of 20 N

So this vector can be represented by the following expression

F = 20 [  ( 2i + j +  3k )  / √ 14 ]

[tex]F= \frac{20}{\sqrt{14} } \times ( 2i+j+3k)[/tex]

Answer:

{2,3,4,5}

Step-by-step explanation:

The given set is in set-builders notation form.

IT says that x such that x belongs to integers and it is greater than or equal to 2 and less than on equal to 5.

So, The set will be written as:

=> {2,3,4,5}

Answer:

(2, 3, 4, 5)

Step-by-step explanation:

If you substitute x with all of the numbers you should get (2, 3, 4, 5)

Answer:

angle A= 59.997

Step-by-step explanation:

SinA=13/15

sinA=0.866

A=inverse sin (0.866)

A=59.997

Answer:

54

Step-by-step explanation:

20 ÷ a + 7 • b

Let a = 4 and b = 7

20 ÷ 4 + 7 • 7

Multiply and divide first

5 + 49

Then add

54

Answer:

54

Step-by-step explanation:

a=4    b=7

20/4=5

7✖️7=49

5+49=54

Hope this helps you!

Answer:

6/7

Step-by-step explanation:

Ruth has played 7 games.  She has scored 9 or more points in 6 of them.  That means she has a 6/7 probability of doing so again.

Answer:

6/7

Step-by-step explanation:

Answer:

  D) G

Step-by-step explanation:

E evaluates to 3.8 +0 = 3.8 . . . not an integer

F evaluates to 0 +0.5 = 0.5 . . . not an integer

G evaluates to -8 +0 = -8 . . . an integer

H evaluates to 9/0 = undefined . . . not an integer

__

Expression G evaluates to an integer.