The daily fees for the Fun Town amusement park are
$10 per adult and $5 per child. Yesterday, daily fees
were paid for a adults and c children. Which of the
following expresses the total amount in dollars,
collected for daily fees yesterday?

Answer:

a = 2

b = 4

c = 8

Step-by-step explanation:

Remember the relationship:

[tex](a^{x})^{y} = a^{x*y}[/tex]

First, in "a" we have:

a) [tex]8^{1/3} = \sqrt[3]{8} = 2[/tex]

then in the next ones, we can use the result that we obtained in the part a:

b) [tex]8^{2/3} = (8^{1/3})^2 = (2)^2 = 4[/tex]

Now we can do exactly the same in c:

c) where first we need to know that:

2*2*2*2 = 4*4 = 16

then:

2^4 = 16

then:

[tex]\sqrt[4]{16} = 16^{1/4} = 2[/tex]

Now let's solve the problem:

[tex]16^{3/4} = (16^{1/4})^3 = (2)^3 = 2*2*2 = 8[/tex]

Answer:

4

I just know this, theres no explanation.The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Answer:

2x = 3 hope that helps

Step-by-step explanation:

Answer:

The equation in slope-intercept form perpendicular to the given equation [tex]y = -3x + 4[/tex] through the given point (6,-2) is [tex]\mathbf{y=\frac{1}{3}x}[/tex]

Step-by-step explanation:

We need to write an equation in slope-intercept form perpendicular to the given equation through the given point

y = -3x + 4

(6,-2)

The general equation in slope intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.

We need to find slope and y-intercept.

Finding slope:

The given line is perpendicular to required line, so there slopes are opposite

The slope of given line [tex]y = -3x + 4[/tex] is m = -3, (By comparing it with general equation y=mx+b, we get m = -3)

The slope of required line is: [tex]m = \frac{1}{3}[/tex]

Finding y-intercept:

y-intercept can be found by using slope [tex]m = \frac{1}{3}[/tex] and the point(6,-2)

[tex]y=mx+b\\-2=\frac{1}{3}(-6)+b\\-2=-2+b\\b=-2+2\\b=0[/tex]

So, we get y-intercept b =0

Equation of required line:

So, the equation of required line having slope [tex]m = \frac{1}{3}[/tex] and y-intercept b =0 is:

[tex]y=mx+b\\y=\frac{1}{3}x+0\\y=\frac{1}{3}x[/tex]

So, the equation in slope-intercept form perpendicular to the given equation [tex]y = -3x + 4[/tex] through the given point (6,-2) is [tex]\mathbf{y=\frac{1}{3}x}[/tex]

Answer:

A. 5.8

Step-by-step explanation:

if ABCD was reflected to FGHI means that A became F and B became G so AB became (was mapped to ) FG after reflection.

the length ( or distance) after reflection is is preserved ( does not change) so

if AB = 5.8 units then FG =5.8 units.

Answer:

The amount is 4/5 of 5/6 is in 2/3.

Step-by-step explanation:

There 4/5 is 5/6 in the fraction 2/3 which is determined by the division operation.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

For example 4/2 = 2

We have to determine how many 5/6 are in the fraction 2/3.

The numbers are given in the question below

2/3 and 5/6

According to the given question, the required solution would be as:

⇒ 2/3 ÷ 5/6

⇒ (2/3) / (5/6)

Reciprocal the terms of the numerator in the above expression

⇒ (2/3) × (6/5)

Apply the multiplication operation,

⇒ 12 / 15

Reduce the fraction in the simplest form,

⇒ 4/5

Therefore, there 4/5 is 5/6 in the fraction 2/3.

To learn more about the division operation click here :

brainly.com/question/25870256

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Answer:

[tex]\frac{x - 61}{x}[/tex]

Step-by-step explanation:

Let x = total number of hats sold

hat left after sales = x - (47 + 14 ) = x - 61

x - 61 / x

Answer:

4.5

Step-by-step explanation:

3+1.5=4.5

Answer:

13 team members are included in the​ histogram.

Step-by-step explanation:

Consider the provided information.

The required histogram is shown in the figure.

We need to find the team members included in the histogram.

For this, we will add the frequency or the height of each bar.

2+1+1+5+1+3=13

Hence, 13 team members are included in the​ histogram.

Answer:

perimeter of circle=2πr

16=2πr

r=16/2π=8/πcm

now.

area of circle=πr²=π(8/π)²=π×64/π²=64/(22/7)=64×7/22=20.36cm²

Answer:

5

Step-by-step explanation:

Slope intercept form is where y= mx + B where M is the slope and B is the y-intercept

Answer:

32 Joule by 21 secs

Step-by-step explanation:

I hope that's the correct answer. Best of luck

Answer:

250 feet

Step-by-step explanation:

If you draw out this situation, you would get a right triangle with a height of 200 (feet) and a base of 150 (feet). The wire is the missing length, or the 'hypotenuse' of this right triangle. You use the pythagoras thingie, and the formula is a^2 + b^2 = c^2.

a= 200

b= 150

c= ?

40,000 + 22,500 = c^2

62,500 = c^2

c = √62,500

∴ c = 250

Answer:

x+24<100

Step-by-step explanation:

Answer:

The answer could be anything, but if it's an arithmetical sequence, then it's 14.

Step-by-step explanation:

I'm assuming that the added numbers always stay the same, meaning it's linear. If you add 5 to 9, you get 14. If you add 5 again, you get 19. Another way of doing this is (19-9)/2 = 5, then 9+5=14.

Answer:

angle 11 they are vertically opposite.

∠11 must also be 85 degrees.

Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. Angles that are vertically opposed to one another are equal. They are referred to as vertical angles at times.

As per the given data:

∠9 = 85°

From the diagram, ∠9 and ∠11 are vertically opposite angles.

∴ ∠9 = ∠11

∠11 must also measure 85°.

To learn more on Angles, click:

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Answer:

2(6a+5)

Step-by-step explanation:

Factor 12a+10

12a+10

=2(6a+5)

Answer:

2(6a+5)

Step-by-step explanation:

Answer:

The second one

Step-by-step explanation:

the semi circle

Answer:

0.0000000000000000..00000000000000000000000

Step-by-step explanation:

Answer:

The line test is the third graph that shows a vertical line with two points plotted.

Step-by-step explanation:

A line test is used to determine if a graph is a function. Every input should only have one output. Since when she inputs 1.5 she gets two different answers it is not a function.

Answer:

the answer would be A because when u subtract it the answer is $5.21

Answer:

y-intercept:  -18

x-intercept: 9/4

Step-by-step explanation:

Substitute x = 0, we find that y = -18 i.e. the y-intercept is -18.

Substitute y = 0, we find that x = 9/4 i.e. the x-intercept is 9/4.

Answer:

(2,-2)

I hope this helps:

Answer:

16oz / 1 lb

Step-by-step explanation:

Answer:

What's the "x" in -3x + 17 = -4?

Step-by-step explanation:

What's the "x" igcugxxugutdffifiyfiyfiyfuydutdtuuffufuyfufutyfufufutfuyfufutfuttfuuffufuufugfiyfygugutuyuggiygiyyfiygiufiyfiyfiyin -3x + 17 = -4?

Answer:

x=7

Step-by-step explanation:

-3x + 17 = -4

-3x=-4-17

-3x=-21

x=7

Answer:

33x - 14

Step-by-step explanation:

5x - 7 (2 - 4x)

5x - 14 + 28x

33x - 14

Answer:

it's 18x-10 and I'm also new and I searched it up in the internet

Step-by-step explanation:

ik online school is hard but they to download Every app thats for school so you can cheat

Answer:

Cos(F) = 5/13  

Sin(F) =  12/13

Tan(F) =  12/5

Step-by-step explanation:

Soh Sine: Opposite(12) over Hypotenuse(13)

Cah Cosine: Adjacent(5) over Hypotenuse(13)

Toa  Tangent: Opposite(12) over Adjacent(5)

Answer:

50:1

Step-by-step explanation:

600/12

1 hour for every 50 PHP