A group of friends wants to go to the amusement park. They have $180.50 to spend on parking and admission. Parking is $19.50, and tickets cost $23 per person, including tax. Write and solve an equation which can be used to determine pp, the number of people who can go to the amusement park.
equation:
answer p:

Answers

Answer 1

a.

The required equation is  23p + 19.50 = 180.50

Let p represent the number of people who can go to the amusement park.

Since the ticket costs $23 per person, the total amount paid for ticket is rate × number of person = $23 × p = 23p.

Since we pay $19.50 for parking, the total amount spent is T = 23p + 19.50

Since the total amount equals $180.50. T = 180.50

So, 23p + 19.50 = 180.50

The required equation is  23p + 19.50 = 180.50

b.

Solving 23p + 19.50 = 180.50, we have

23p = 180.50 - 19.50

23p = 161

p = 161/23

p = 7

So, the number of people who can go to the amusement park is 7.

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Answer

Area of the rug is 64 in^2

Answer:

676 cm²

Step-by-step explanation:

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I never was good at math, so i wanted to ask someone for help,
I'm doing 8th grade math, and this is the problem:

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If you can help me I will be very grateful!

Answers

Answer:

b=4

Step-by-step explanation:

-11+9b^2=25

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

7 ÷ 1 = 7

Step-by-step explanation:

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The price of petrol increased by 8% to Rs 540 per litre. Find the old price.​

Answers

Answer:

The original price is Rs. 50

Step-by-step explanation:

Let the original price be Rs.x

x+8% of x=54

x+(8/100)*x=54

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Answer:

Rs 500 per liter

Step-by-step explanation:

Let the initial price be x.

We have:

x + 8% of x = 540

Rewrite it as below and solve for x:

x + 0.08x = 5401.08x = 540x = 540/1.08x = 500

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The minute hand of a clock has a length of 12 cm, and the hour hand has a length of 8 cm
a) How far does the tip of the minute hand travel in one hour?
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Answer:

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Answer:

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Answer:

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Step-by-step explanation:

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Answer:

45

Step-by-step explanation:

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Kieran buys a car for $8000 The following year he sells the car for $7500​

Answers

Kieran membeli mobil seharga $8000 Tahun berikutnya dia menjual mobil seharga $7500

Loss :

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Answers

Triangle based on the side lengths 7. 15 and 21​ is Obtuse triangle.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

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On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2). Which expression can be used to find the area of triangle RST? (8 â™ 4) - One-half (10 12 16) (8 â™ 4) - (10 12 16) (8 â™ 4) - One-half (5 6 8) (8 â™ 4) - (5 - 6 - 8).

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The area of a triangle is the amount of space on the triangle

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[tex]R = (-5,6)[/tex]

[tex]S = (3,4)[/tex]

[tex]T = (-2,2)[/tex]

The area (A) of a triangle from its coordinates or vertices are:

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Substitute values for x's and y's

[tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]

Hence, the expression that represents the area of the triangle is [tex]A = \frac 12|-5(2 -4) +3(2 -6) -2(4 -6)|[/tex]

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after riding a bike 9 miles,Alex’s total time was 40 1/2 minutes. Find his time per mile.

Answers

40.5/9= 4.5 minutes per mile.

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Answer:

48. 95,400 mL

50a. 331 yds.

50b. 11,916 in.

Step-by-step explanation:

Some helpful conversions can solve this for you :)

1 liter = 1000 mL

1 yard = 3 feet

1 feet = 12 inches

Now we get started!

48. We have 95.4 Liters, multiply by 1000 because 1000 mL per Liter. Therefore it's 95,400.

50

a. 3 feet per yard, so 993 feet divided by 3 is 331 yards.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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9=[tex]9=\frac{2-4t}{t+3}[/tex]

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's Solve for t ~

➢ [tex] \sf q = \dfrac{2 - 4t}{t + 3} \\[/tex]

➢ [tex] \sf{q(t + 3) =2 - 4t }\\[/tex]

➢ [tex] \sf{qt + 3q} = 2 - 4t\\[/tex]

➢ [tex] \sf{qt + 4t = 2 - 3q }\\[/tex]

➢ [tex] \sf{t(q + 4) = 2 - 3q}\\[/tex]

➢ [tex] \sf{t = \dfrac{2 - 3q}{q + 4} }[/tex]

Answer:

t = (2 - 3q)/(q + 4).

Step-by-step explanation:

We cross multiply:

q(t + 3) = 2 - 4t

qt + 3q = 2 - 4t

qt + 4t = 2 - 3q

t(q + 4) = 2 - 3q

t = (2 - 3q)/(q + 4).

Miguel glues a ribbon border around the edges of a 5-inch by 8-inch picture to create a frame. What is the total length of ribbon Miguel uses?

Answers

Explanation :-

We are given that the length of the frame is 5 inch and breadth of the frame is 8 inch. And Miguel glues a ribbon border around the edges of the frame. We have to find –the total length of ribbon Miguel uses.

[tex]\qquad[/tex] ☀️So First – we have to find the perimeter of the frame on which the glue is applied and the length of the ribbon used by Miguel. The perimeter of the frame is the total length of ribbon Miguel uses.

Length of the frame is = 5 inchBreadth of the frame is = 8 inch

[tex]\qquad[/tex]____________________

According to the question:-

[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow Perimeter _{(The \:frame) }= The\: total\: length\: of \:ribbon}[/tex]

The frame is in the rectangular shape, as its length and breadth are different . As we know– Perimeter of the rectangle = 2 ( length + breadth ).

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Perimeter _{(The \:frame) } = 2 ( length\: of\: the \:frame + breadth \:of \:the\: frame )}[/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The\: frame) } = 2 ( 5 + 8 ) [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The \:frame) }= 2 ( 5 ) + 2 ( 8 ) [/tex]

[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The\: frame) }= 10 + 16 [/tex]

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Perimeter _{(The \:frame) }= 26\: inch} [/tex]

Henceforth, perimeter of the frame is 26 inch.

Therefore,

Perimeter of the frame = The total length of ribbon.So, The total length of ribbon = 26 inch.

[tex]\qquad[/tex]____________________

The Answer will be 26 inch

the regular price of a sweatshirt is 25.00 what is the cost of the sweatshirt if u only pay 60% of the regular price

can someone please awnser this right away

Answers

Answer:

[tex]25 \times \frac{60}{100} = 15[/tex]

Step-by-step explanation:

Multiply 25 by 60%

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5/7of ... is 5/21

... is blank

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[tex]\dfrac 57 \cdot x = \dfrac 5{21}\\\\\\\implies \dfrac x 7 = \dfrac 1{21}\\\\\\\implies 21x = 7\\\\\implies x = \dfrac{7}{21}\\\\\\ \text{Hence}~\dfrac 57 ~ \text{of}~~ \dfrac{7}{21}~ ~\text{is}~ \dfrac{5}{21}[/tex]

Write an expression for the volume of the figure as a polynomial in standard form. (multiple choice)

Answers

Answer:

3.

2x^3+10x^2+14x+6

Step-by-step explanation:

according to figure,

v=w•l•h

(2x+2)(x+1)(x+3)

=(2x+2)x(x+1)+3(X+1)

=(2x+2)(x^2+4x+3)

=2x(x^2+4x+3)+2(x^2+4x+3)

=2x^3+10x^2+14x+6

The volume of the figure as a polynomial in standard form is

V = 2x³ + 10x² + 14x + 6.

What is a cuboid?

A closed three-dimensional geometric shape called a cuboid is surrounded by six rectangular plane sections.

The given figure is a cuboid with dimensions (2x + 2), (x + 1), and (x + 3).

The volume of the cuboid is the multiplication of its dimension, therefore, the volume of the cuboid is:

V = (2x +2)(x + 1)(x + 3)

V = (2x² + 2x +2x + 2)(x + 3)

V = (2x² + 4x + 2)(x + 3)

V = 2x³ + 6x² + 4x² + 12x + 2x + 6

V = 2x³ + 10x² + 14x + 6

Hence, the volume of the figure as a polynomial in standard form is

V = 2x³ + 10x² + 14x + 6.

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find the inverse function f(x)=1/2x+2​

Answers

Answer:

y=2x-4

Step-by-step explanation:

f(x)=1/2x+2

y=1/2x+2

-----------------

x=1/2y+2

1/2y=x-2

y=2(x-2)

y=2x-4

Solve the equation 3(2x + 2) = 3x - 15.
Ox=-7
17
Ox=-
Ox=3
Ox=7

Answers

Simplify:

6x + 6 = 3x - 15

Now use all solutions

6(7) + 6 = 3(7) - 15

42 + 6 = 21 - 15

Nearly, you can tell it doesn't work.

6(-7) + 6 = 3(-7) - 15

-42 + 6 = -21 - 15

-36 = -36

So, -7 is x.

Answer:

[tex] \pmb{3(2x + 2) = 3x - 15}[/tex]

[tex] \: \: \: \rightarrow \: {6x + 6 = 3x - 15}[/tex]

[tex] \: \: \: \rightarrow \: {6x - 3x = 15 + 6}[/tex]

[tex]\: \: \: \rightarrow \: {3x = 21}[/tex]

[tex]\: \: \: \rightarrow \: {x = \displaystyle{{ \frac{21}{3} }}}[/tex]

[tex]\: \: \: \pmb\rightarrow \: { \pmb{x = 7}}[/tex]

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