A group of friends wants to go to the amusement park. they have $285.75 to spend on parking and admission. parking is $13.75, and tickets cost $34 per person, including tax. how many people can go to the amusement park?

Answer:

315

Step-by-step explanation:

45 x 7 = 315

Multiples of 7: 7, 14, 21, 28... 301, 308, 315

Multiples of 45: 45, 90, 135, 180, 225, 270, 315, 360, 405

If you need further explanation, let me know!

- profparis

Step-by-step explanation:

Least common multiple of 45 and 7 is 315

x^2 - 9x - 3x + 27

x^2 - 12x + 27

The circumference of the base of the silo that can hold a maximum of 132 cubic feet of feed is approximately 28.796 feet.

The circumference is the measure of the contour of a circle. In this question we have to determine the radio of the base of the cone from the volume formula and later the circumference is found by this finding:

V = (π/3) · R² · h     (1)

s = 2π · R     (2)

Where:

If we know that V = 132 ft³, h = 6 ft, then the circumference that can hold the given capacity is:

[tex]R = \sqrt{\frac{3\cdot V}{\pi \cdot h} }[/tex]    

[tex]R = \sqrt{\frac{3\cdot (132\,ft^{3})}{\pi\cdot (6\,ft)} }[/tex]

R ≈ 4.583 ft

s = 2π · (4.583 ft)

s ≈ 28.796 ft

The circumference of the base of the silo that can hold a maximum of 132 cubic feet of feed is approximately 28.796 feet. [tex]\blacksquare[/tex]

The statement is complete, complete form is introduced below:

A farmer plans to buid the small silo  to store chicken feed. The silo is a cone with a height of 6 feet. What is the circumference of the base of the silo if it can hold a maximum of 132 cubic feet of feed?

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The final amount that Victor will owe after one year, to the nearest cent is given by: Option C: $545.65

If n is the number of times the interested is compounded each year, and 'r' is the rate of compound interest annually, then the final amount after 't' years would be:

[tex]a = p(1 + \dfrac{r}{n})^{nt}[/tex]

For this case, we're provided that:

The interest rate is r = 13.66% = 13.66/100 = 0.1366 (converted percent to decimal)

It is compounding monthly, thus, 12 times a year, or n = 12

The initial amount that the credit card of Victor has = p = $1349.34

Time for which interest was compounded = a year = 1 = t

Thus, the final amount that Victor will owe after one year to the nearest cent is calculated as;

[tex]a = p(1 + \dfrac{r}{n})^{nt}\\\\a = 1349.34(1 + \dfrac{0.1366}{12})^{12\times 1}\\\\a = 1349.34(1.01138)^{12} \approx 1245.65 \: \rm (in \: dollars)[/tex]

Thus, the final amount that Victor will owe after one year, to the nearest cent is given by: Option C: $545.65

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Answer:

C

Step-by-step explanation:

I took the test and passed with 100

Answer:

-4.1-4.1212

Step-by-step explanation:

Log2^2-log 2^16

log2^2/2^16

log2^2-16

log2^-14

-14log2

-14×0.3010

-4.1-4.1214

Answer: D

Step-by-step explanation:

Answer:

(2x+3y)(x2+3x+2). it may helps you

Answer:

[tex]\tt 2x^3+3x^2y+6x^2+9xy+4x+6y[/tex]

Step-by-step explanation:

[tex]\tt x^2(2x + 3y) + 3x (2x + 3y) +2 (2x + 3y)[/tex]

Expand by distributing terms:-

[tex]\tt 2x^3+3x^2y+3x(2x+3y)+2(2x+3y)[/tex]

Expand by distributing terms:-

[tex]\tt 2x^3+3x^2y+6x^2+9xy+4x+6y[/tex]

~

Answer:

x=-1/7

Step-by-step explanation:

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

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

[tex]\frac{3x^2-4x+1}{3x-3} -\frac{6x}{3x-3} =x[/tex]

[tex]\frac{3x^2-10x+1}{3x-3} =x[/tex]

[tex]\frac{3x^2-10x+1}{3x-3} =\frac{x(3x-3)}{3x-3}[/tex]

[tex]\frac{3x^2-10x+1}{3x-3} =\frac{3x^2-3x}{3x-3}[/tex]

[tex]3x^2-10x+1=3x^2-3x[/tex]

[tex]-10x+1=-3x[/tex]

[tex]-7x=1[/tex]

[tex]x=-1/7[/tex]

Answer: (1)

Step-by-step explanation:

Using the properties of a 30 60 90 triangle, we get that ML=24sqrt3 and JM=24.

This means that the tangent is 24sqrt3 / 24.

Answer: (4,6)

Step-by-step explanation:

We are splitting the line segment into 6 parts, so we can start by finding the displacement in the x and y coordinates.

The change in x is 12, and the change in y is 12.

This means that for each of the 6 parts we are splitting the segment into, the value of x will change by 2, and so will y.

This means that to find K, we can subtract one of these displacements from point L.

This means that K has coordinates (6-2, 8-2)=(4,6)

Answer:

  8 cm

Step-by-step explanation:

You want the base of a triangle, given its height is 3 cm. From the base of 12 cm, the same triangle has a height of 2 cm.

The area of a triangle is given by the formula ...

  A = 1/2bh

The area will be the same for any (base, height) pair of dimensions. The height is always measured perpendicular to the base. The base is generally one side of the triangle.

Here, the longest side is labeled 12 cm, and the perpendicular distance to the opposite vertex (height) is labeled 2 cm. This means the triangle area is ...

  A = (1/2)(12 cm)(2 cm) = 12 cm²

The distance perpendicular to the unknown side is shown as 3 cm. This gives you a clue that using the area of the triangle to find the unknown side is probably useful.

  A = 1/2bh

  12 cm² = 1/2(b)(3 cm)

  8 cm = b . . . . . . . . . . . . multiply by 2/(3 cm)

The value that goes in the box is 8.

__

Additional comment

The attachment is drawn to scale.

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Answer:

x=21/5

Step-by-step explanation:

5x:9 = 7:3

Turn the ratios into fractions:

5x/9 = 7/3

Then cross mutiply

15x=63

x=21/5

The surface area of the box is 1048 square inches

The formula for calculating the surface area of the prism is expressed as:

Surface area = 2(lw + wh +lh)

Given the following

l = 20in

w = 8in

h = 13in

Substitute the given parameters'

Surface area = 2(lw + wh +lh)

Surface area = 2(20(8) + 8(13) +20(13))

Surface area = 2(160+104+260)

Surface area = 1048 square inches

Hence surface area of the box is 1048 square inches

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Answer:

1. any number from 42 to 68

e.g 52

2. any number less than 42 or greater than 68

e.g 76

Answer:

I believe your answer is 2666.67

Step-by-step explanation:

26,000-18,000=8,000

8,000/3=2666.6667

I hope this helped :D

378 inches squared

its (18x15)+(6x18)

Answer:

x = 0

Step-by-step explanation:

5^0 is 1, meaning that x must equal to 0 for the answer to be 5^0.

Answer:

Yes

Step-by-step explanation:

Their angles are the same and the shapes are similar.

Answer:

Yes they do.

Step-by-step explanation:

All of the angles are the same shape and size therefore are equal to each other.

Answer:

this image should help a lot:

vertex b: (-5,3)

vertex a: (0,-1)

vertex c: (-6,-7)

vertex d: (-4,-1)

Step-by-step explanation:

[tex]\bf \colorbox{black} {\bf {\textcolor{blue}{topic= }{ \bf { \textcolor{orange}{mathematics= }{ \bf{ \textcolor{cyan}{answer = }}}}}}}[/tex]

3a+2(4a-b)=

3a+8a-2b=

[tex] \bf \textcolor{green}{ \underbrace{11a - 2b}}[/tex]

Answer:

Megalobox black lagoon doraemon fate/grand order made in abyss high rise invasion dusk maiden of amnesia mahou shoujo site black butler ergo proxy I think are some

Step-by-step explanation:

Step-by-step explanation:

using cosine rule,

BC²= AC² + BC² - 2*AC*BC*COSc

= 13² + 6² - 2*13*6*-cos(180-91)

= 169 + 36 - (-2.72)

= 202.28

√BC² = √202.28

BC = 14.22

BC = 14.20cm to nearest tenth

Answer:

[tex]\boxed{33.5 \ \text{feet/second}}[/tex]

Step-by-step explanation:

To find the unit rate, we need to find out how much distance does the cyclist travel in 1 second. For that, we need to use the unitary method. A unitary method is a method that determines the unit rate of an object.

Note: Since the cyclist travels at a constant rate, unitary method can be used.

[tex]\rightarrow 837 \dfrac{1}{2} \ \text{feet in 25 seconds}[/tex]

[tex]\rightarrow 837.5 \ \text{feet} = 25 \ \text{seconds}[/tex]

Divide both sides by 25:

[tex]\rightarrow \dfrac{837.5}{25} \ \text{feet} = \dfrac{25}{25} \ \text{seconds}[/tex]

[tex]\rightarrow 33.5 \ \text{feet} = 1 \ \text{seconds}[/tex]

[tex]\rightarrow \boxed{33.5 \ \text{feet/second}}[/tex]

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Answer:

the table in which element are systematically arranged into various period based on their similar properties is called periodic table

Answer: it is a table of all the elements and shows you all the abbreviations for each one.

Step-by-step explanation:

there is a picture attached if you want to see what it looks like.

It basically just tells and shows you about all the different materials and/or elements.

Hope this helps! :)

Answer:

x=6

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

24÷4=6

4×6=24

Hope it helps :))

Answer:

x is 19.5 degress

Step-by-step explanation:

hmmm so here oh i see now okay:

since a line is 180 degress lets write

2x + 82.5 + 3x = 180

now we umm add the ones with the same variable and power

5x + 82.5 = 180

5x = 180 - 82.5

5x = 97.5

x = 19.5

This is an angle on a straight line and It is equal to 180°

2x° + 3x° + 82.5° = 180°

5x° = 180° - 82.5°

5x = 97.5°

x = 19.5°

To indicate the angle

2x => 2(19.5°) => 39°

3x => 3(19.5°) => 58.5°

The angle are (39°, 82.5°, 58.5°

Answer:

(1). [tex]5^{4}[/tex] × [tex]13^{7}[/tex] ; (2). 3 - 5x

Step-by-step explanation:

1). [( - 5 )³ · ( - 5 )] ( [tex]13^{-2}[/tex] · [tex]13^{9}[/tex] ) = [tex](-5)^{3+1}[/tex] × [tex](13)^{-2+9}[/tex] = [tex](-5)^{4}[/tex] × [tex]13^{7}[/tex] = [tex]5^{4}[/tex] × [tex]13^{7}[/tex]

2). - 25x² ÷ 5x + 15x ÷ 5x = 3 - 5x

Answer:

[tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation:

Simplify the expression:

sin [tex]\frac{3pi}{4}[/tex]

Rewrite the angle as a sum or difference with its reference angle:

sin (pi - [tex]\frac{pi}{4}[/tex])

Simplify the expression

(sin [tex]\frac{pi}{4}[/tex])

Evaluate the expression:

[tex]\frac{\sqrt{2} }{2}[/tex]

hope this helps and is right!! p.s. i really need brainliest :)

Answer:

(a)

Step-by-step explanation:

the equation of a circle centred at the origin is

x² + y² = r² ( r is the radius )

x² + y² = 20 ← is in this form , then

centre = (0, 0 ) and r = [tex]\sqrt{20}[/tex] = [tex]\sqrt{4(5)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]

Answer: D

Step-by-step explanation: