Michael pays $30 to enter a state fair, plus $4 for each ride. Which of the following
equations represents his total cost?

A. y = 30x + 4
B. y = 34x
C. y = 4x + 30
D. y = 4x + 34

PLEASE HELPP!!!

Answer:

480 students

Step-by-step explanation:

600 x .80

Answer:

The factorization of [tex]5x^2-14x+8[/tex] is (5x-4)(x-2)

Step-by-step explanation:

Given quadratic polynomial is:

[tex]5x^2-14x+8[/tex]

To factor a quadratic polynomial with leading co-efficient has to be factorized, the leading co-efficient and the constant are multiplied and pairs(a,b) of the product are made so that their sum or subtraction is equal to the co-efficient of x

We get 40 by multiplying 8 and 5

And the pair we get are: 10 and 4

[tex]=5x^2-10x-4x+8\\=5x(x-2)-4(x-2)\\=(5x-4)(x-2)[/tex]

Hence,

The factorization of [tex]5x^2-14x+8[/tex] is (5x-4)(x-2)

Answer:

c

Step-by-step explanation:

Answer:

The width of the is 4 inches

Step-by-step explanation:

Assume that the width of the frame is x

∵ The width of the fame is x inches

→ That means each dimension will increase by 2x ⇒ x from each side

∵ The portrait has dimensions of 30“ x 60“

∴ Its dimensions including the frame = (30 + 2x) × (60 + 2x)

∴ The total area of the portrait plus frame = (30 + 2x)(60 + 2x)

→ Multiply the brackets

∵ (30 + 2x)(60 + 2x) = 30(60) + 30(2x) + 2x(60) + (2x)(2x)

∴ (30 + 2x)(60 + 2x) = 1800 + 60x + 120x + 4x²

→ Add the like terms

∴ (30 + 2x)(60 + 2x) = 1800 + 180x + 4x²

∴ The total area of the portrait plus frame = 4x² + 180x + 1800

∵ The total area of the portrait plus frame = 2584 square inches

→ Equate the two right sides of the area

∴ 4x² + 180x + 1800 = 2584

→ Subtract 2584 from both sides

∴ 4x² + 180x + 1800 - 2584 = 0

→ Add the like terms in the left side

∴ 4x² + 180x - 784 = 0

→ Divide all terms by 4 to simplify

∴ x² + 45x - 196 = 0

→ Factorize it to find the value of x

∵ x² + 45x - 196 = (x - 4)(x + 49)

→ Equate the right side by 0

∴ (x - 4)(x + 49) = 0

→ Equate each factor by 0

∵ x - 4 = 0  

→ Add 4 to both sides to find x

∴ x = 4

∵ x + 49 = 0

→ Subtract 49 from both sides to find x

∴ x = -49 ⇒ refused it x can not be -ve (no negative dimensions)

∴ The width of the is 4 inches

Answer:

4,500 mg

Step-by-step explanation:

198x1x50=9900

1x2.2x1=2.2

9900/2.2=4,500

Answer:

15 feet.

Step-by-step explanation:

Tony's speed = 15 ft/min.

Antonio's = 18 feet /min.

So in 5 minutes Tony travels 5*15 = 75 feet and Antonio travels 5*18 = 90 feet.

So the answer is 90-75 = 15 feet.

Answer:

3

Step-by-step explanation:

Answer:

Step-by-step explanation:

Simplifying

-14 + 1 = rt + -4n

Combine like terms: -14 + 1 = -13

-13 = rt + -4n

Reorder the terms:

-13 = -4n + rt

Solving

-13 = -4n + rt

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '4n' to each side of the equation.

-13 + 4n = -4n + 4n + rt

Combine like terms: -4n + 4n = 0

-13 + 4n = 0 + rt

-13 + 4n = rt

Add '13' to each side of the equation.

-13 + 13 + 4n = 13 + rt

Combine like terms: -13 + 13 = 0

0 + 4n = 13 + rt

4n = 13 + rt

Divide each side by '4'.

n = 3.25 + 0.25rt

Simplifying

n = 3.25 + 0.25rt

Answer:

n = [tex]\frac{rt-q}{-10}[/tex]

Step-by-step explanation:

your equation is -14n+q = rt-4n

subtract q from both sides: -14n = rt - 4n - q

add 4n to both sides: -10n = rt - q

divide both sides by -10: n = [tex]\frac{rt-q}{-10}[/tex]

Answer:

1536

Step-by-step explanation:

If he drives 48 miles everyday for 32 days, to get his total you multiply to by 32

Answer:

in I day he drives 48 miles

so how many for 32 days

Answer:

9

Step-by-step explanation:

Answer:

I got A, B, D

Step-by-step explanation:

Answer:

500

Step-by-step explanation:

20%x = 100

x = 100 * 100/20

x = 100 * 5

x = 500

Hope this helped!

Answer:

The GCD of 510 and 92 is 2

Step-by-step explanation:

510 : 2 = 255

510 : 3 = 170

510 : 4 = 127.5

92 : 2 = 46

92 : 3 = 30.6667

92 : 4 = 23

hope this helps!

Answer:

B

Step-by-step explanation:

Answer:

it is a

Step-by-step explanation:

Answer:

Step-by-step explanation:

"The question is not complete, here is the complete question

A bicycle with 18-in.-diameter wheels has its gears set so that the chain has a 6-in. radius on the front sprocket and 3-in. radius on the rear sprocket. The cyclist pedals at 180 rpm.

Find the linear speed of the bicycle in in/min (correct to at least two decimal places)  

How fast is the bike moving in mph (to two decimal places)?"

Step one:

given data

the diameter of wheels= 18 inches

radius of front sprocket=6 inches

radius of rear sprocket= 3 inches

The cyclist pedals at 180 rpm

The chains move at the same speed, hence

the rear sprocket must make 6/3 revolutions for every one revolution made by the front sprocket

when the rider moves the front sprocket through 180 revs/min

the rear sprocket moves through 180 (6/3)  = 360 revs/min

the linear speed of the bicycle in inches per minute  =

 2π * 9 * 360   = about 20360.16  in/min

The speed in mph

=2π * 9 * 360 * 60 minutes in 1 hr /63360 in/ mile  

=19.28 mph

Answer:

It's JOHN CENA!

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

the process in which one plus one is 2 is to combine the both very complex numbers which equal only one digit so when you combine two one digits you get two

Answer:

In units of measurement of length we use centimeter (cm) to measure. We can use this unit for measuring the length of a pencil, the width of a book etc. but this unit is too big to measure the thicken of a pencil. So we use another unit called millimeter (mm).

Step-by-step explanation:

Answer:

  There are 2 nickels and 6 dimes.

Step-by-step explanation:

Nickels:  x

 Dimes:  y

Constraints:

  0.05x + 0.10y = 0.70

   x + y = 8                   ===>  -0.05 * (x + y = 8)  ===>   -0.05x - 0.05y = -0.4

Add the two equations to eliminate x variable:

  0.05x + 0.10y = 0.70

 -0.05x - 0.05y = -0.4

_________________

                0.05y = 0.3         ===>    y = 6

Substitution to find x:

  x + y = 8

  x + 6 = 8

  x = 2

There are 2 nickels and 6 dimes.

There are 2 nickels and 6 dimes.

Two or more expressions with an Equal sign is called as Equation.

Given,

Aaron has $0.70 worth of nickels and dimes.

total of 8 nickels and dimes altogether

We need to find the number of nickels and number of Dimes

Let Nickels be x and  Dimes be y

By given conditions

0.05x + 0.10y = 0.70

x + y = 8-0.05x - 0.05y = -0.4

Add the two equations to eliminate x variable:

0.05x + 0.10y -0.05x - 0.05y = 0.70 -0.4

0.05y = 0.3

Divide both sides by 0.05

y = 6

Substitution to find x:

x + y = 8

x + 6 = 8

x = 2

Hence, there are 2 nickels and 6 dimes.

To learn more on Equation:

https://brainly.com/question/10413253

#SPJ2

Answer:

The probability that a randomly selected high school senior's score on mathematics part of SAT will be

(a) more than 675 is 0.0401

(b)between 450 and 675 is 0.6514

Step-by-step explanation:

Mean of Sat =[tex]\mu = 500[/tex]

Standard deviation = [tex]\sigma = 100[/tex]

We will use z score over here

 What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be

(a) more than 675?

P(X>675)

[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}[/tex]

Z=1.75

P(X>675)=1-P(X<675)=1-0.9599=0.0401

b)between 450 and 675?

P(450<X<675)

At x = 675

[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}[/tex]

Z=1.75

At x = 450

[tex]Z=\frac{x-\mu}{\sigma}\\Z=\frac{450-500}{100}[/tex]

Z=-0.5

P(450<X<675)=0.9599-0.3085=0.6514

Hence the probability that a randomly selected high school senior's score on mathematics part of SAT will be

(a) more than 675 is 0.0401

(b)between 450 and 675 is 0.6514

Answer:

x = 16

Step-by-step explanation:

The two ∆s would be ∆ABC and ∆EFG as drawn in the attachment below.

Thus, ∆ABC ~ ∆EFG. Therefore:

[tex] \frac{AB}{EF} = \frac{AC}{EG} [/tex]

AB = 12 + 3 = 15

EF = 12

AC = x + 4

EG = x

Plug in the values into the equation

[tex] \frac{15}{12} = \frac{x + 4}{x} [/tex]

Cross multiply

[tex] (15)(x) = (x + 4)(12) [/tex]

[tex] 15x = 12x + 48 [/tex]

Subtract 12x from each side

[tex] 15x - 12x = 48 [/tex]

[tex] 3x = 48 [/tex]

[tex] x = \frac{48}{3} [/tex]

[tex] x = 16 [/tex]

Answer:

1,087.59014, 23.7, 0.6868

Step-by-step explanation:

Any decimal that ends.

Answer:

In Euclidean plane geometry, a rectangle is a quadrilateral with four right angles. To find the area of a rectangle, multiply the length by the width.

A rectangle with four sides of equal length is a square.

Following image represents the area of a rectangle.

A perimeter is a path that surrounds a two-dimensional shape. The word comes from the Greek peri (around) and meter (measure). The perimeter can be used to calculate the length of fence required to surround a yard or garden. Following image represents the perimeter of a rectangle.

Step-by-step explanation:

Sorry if this is wrong.

I have no idea if this is right but i tried.

Sorry im dumb.

If its right Yw.

:)

Answer:

Part A:  2(4x)+2(y)+2(2) and 2(4x+y+2)

Part B:  #2 and #4

Step-by-step explanation:

Part B:

- #2:     4 x 3 is 12 and 4 x 6 is 24

- #3:      2 x 6 is 12 and 6 x 4 is 24

Bothe are the same.

Answer:

40 Apple juice and 20 Orange juice

Step-by-step explanation:

From the diagram, you know that 4 OJ makes one drink, so to make 5 drinks, you need 5 times that, or 20 OJ. You can also see that you need twice as much AJ as OJ, so that means you need 40 AJ.

*OJ = Orange juice and AJ = Apple juice

Answer:

three ( Long Count, Tzolkin, Haab )

Step-by-step explanation:

Step-by-step explanation:

A={1,2,3,4}

B={0,1}

now,

a. A×B={1,2,3,4}×{0,1}

={(1,0)(1,1)(2,0)(2,1)(3,0)(3,1)(4,0)(4,1)}

b. B×A={(0,1)(0,2)(0,3)(0,4)(1,1)(1,2)(1,3)(1,4)}

c. A×A={(1,1)(1,2)(1,3)(1,4)(2,1)(2,2)(2,3)(2,4)(3,1)(3,2)(3,3)(3,4)(4,1)(4,2)(4,3)(4,4)}

d. B×B={(0,0)(0,1)(1,0)(1,1)}

hope it help u..