A cell phone company offers two plans.
Plan A has a monthly fee of $26.50 and charges $0.35/minute.
Plan B has a monthly fee of $42.50 and charges $0.15/minute.
How many minutes make Plan A and Plan B equal to each other?

Answer:

Adult tickets sold =  225

Student Tickets sold =  375

Step-by-step explanation:

Let:

Adult tickets sold = x

Student Tickets sold = y

Total tickets sold = 600

So, we can write: x+y = 600

Total money collected = 3037.50

Cost of 1 Adult ticket = $6.00

Cost of one Student ticket = $4.50

So, we can write: 6x+4.5y=3037.50

Now, we get a system of equations, that if solved we can find values of x and y

Let:

[tex]x+y = 600--eq(1)\\6x+4.5y=3037.50--eq(2)[/tex]

We can solve using substitution method.

Finding value of x from eq(1) and putting it in eq(2)

[tex]We\:have\\x+y=600\\x=600-y[/tex]

Put in eq(2)

[tex]6x+4.5y=3037.50\\6(600-y)+4.5y=3037.50\\3600-6y+4.5y=3037.50\\-1.5y=3037.50-3600\\-1.5y=-562.5\\y=\frac{-562.5}{-1.5}\\y=375[/tex]

So, we get value of y = 375

Now put value of y in eq(1) to find value of x

[tex]x+y=600\\Put\:y=375\\x+375=600\\x=600-375\\x=225[/tex]

So, we get value of x = 225

The Tickets sold will be:

Adult tickets sold = x = 225

Student Tickets sold = y = 375

Answer:

6x³ - 19x² + x + 6

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

Step 1: Define

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

Step 2: Expand

Answer:

The value of x lies between 20 and 40 and value of y lies between -20 and 10

Step-by-step explanation:

We are given that

[tex]y\leq 40-x[/tex]....(1)

[tex]y\leq x-20[/tex]...(2)

First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.

Therefore, we can write as

[tex]y=-x+40[/tex]...(3)

[tex]y=x-20[/tex]...(4)

Adding equation (3) and (4) we get

[tex]2y=20[/tex]

[tex]y=10[/tex]

Substitute y=10 in equation (3) we get

[tex]10=40-x[/tex]

[tex]x=40-10=30[/tex]

(30,10) is the intersect point of two equation.

Put x=0 in equation (3)

[tex]y=40[/tex]

Substitute y=0 in equation (3)

[tex]x=40[/tex]

Substitute x=0 in equation (4)

[tex]y=-20[/tex]

Substitute y=0 in equation (4)

[tex]x=20[/tex]

Substitute x=0 and y=40 and in equation (1)

[tex]40\leq 40[/tex]

Hence, the equation is true.Therefore, the shaded region below the line.

Substitute x=0 and y=-20 in equation (2)

[tex]-20\leq -20[/tex]

The equation is true. Hence, the shaded region is below the line.

Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.

Answer: No, Chaneece mixed up the variables. The correct solution is that x must be between 20 and 40 and y must be between 0 and 20.

Step-by-step explanation:

Answer:

[tex]63[/tex]

Step-by-step explanation:

Let number of nickels be [tex]x[/tex]

Number of dimes be [tex]y[/tex]

Number of quarters be [tex]z[/tex]

Total number of coins is [tex]185[/tex]

[tex]x+y+z=185[/tex]

Number of dimes is 5 more than quarters

[tex]y=5+z[/tex]

[tex]x+(5+z)+z=185\\\Rightarrow x+2z=180\\\Rightarrow x=180-2z[/tex]

Amount of money in the jar is $25.25

[tex]0.05x+0.1y+0.25z=25.25\\\Rightarrow 0.05x+0.1(5+z)+0.25z=25.25\\\Rightarrow 0.05x+0.5+0.1z+0.25z=25.25\\\Rightarrow 0.05x+0.35z=24.75[/tex]

[tex]0.05(180-2z)+0.35z=24.75\\\Rightarrow 9-0.1z+0.35z=24.75\\\Rightarrow 9+0.25z=24.75\\\Rightarrow z=\dfrac{24.75-9}{0.25}\\\Rightarrow z=63[/tex]

[tex]y=5+z=5+63\\\Rightarrow y=68[/tex]

[tex]x=180-2z=180-2\times 63\\\Rightarrow x=54[/tex]

So, the number of quarters is [tex]63[/tex].

Answer:

63 is the correct answer :)

Step-by-step explanation:

Answer:

124

Step-by-step explanation:

Cross Multiply

(93x4)/3

Answer:

Step-by-step explanation:

25% it means 1/4 of the total

1/4 of 80 is 20 (80/4=20)

answer B

Answer:

1 time :)

Step-by-step explanation:

Answer:

It can only go into 8 once

8÷5=1.6

Step-by-step explanation:

Answer:

2 8c+3

Step-by-step explanation:

Answer:

8c+3

Step-by-step explanation:

for #2

Answer:

26,400

Step-by-step explanation:

Answer:

b=15

Step-by-step explanation:

Answer:

The equation is, [tex]5x+3y=82[/tex].

Step-by-step explanation:

Let [tex]x[/tex] represent the cost of small wreaths.

So, the cost of [tex]5[/tex] small Christmas wreaths [tex]=5x[/tex].

Let [tex]y[/tex] represent the cost of large wreaths.

So, the cost of [tex]3[/tex] large Christmas wreaths [tex]=3y[/tex].

On Monday, [tex]5[/tex] small Christmas wreaths and [tex]3[/tex] large Christmas wreaths are sold for a total of [tex]\$82[/tex].

The equation is, [tex]5x+3y=82[/tex].

Answer:

D

Step-by-step explanation

18/15=1.2

21/1.2=17.5

They Match!

Answer:

2.5

Step-by-step explanation:

15-10=5

5/2=2.5

Answer:

a = 1.5, b = 1.75

Step-by-step explanation:

Expand the right side using FOIL, then compare the coefficients of like terms with the expression on the left side.

(x + a)² + b

= x² + 2ax + a² + b , then compare to

x² + 3x + 4

Comparing the coefficients of the x- terms

2a = 3 ( divide both sides by 2 )

a = 1.5

Comparing the constant terms

a² + b = 4

1.5² + b = 4

2.25 + b = 4 ( subtract 2.25 from both sides )

b = 1.75

7 ( 1  +  8 )

simplify

1. rearrange terms

7(1 + 8v)

7(8v + 1)

2. Distribute

7(8v + 1)

56v + 7

Solution

Answer:

Answer is (-1,-2) As where 2 lines bisect, that point be the answer. And in given scenario, both the lines bisected at (-1,-2)

Step-by-step explanation:

Answer:

c. 5

Step-by-step explanation:

678 rounds to 700 and 218 rounds to 200. 700-200=500

Answer:

300°

Step-by-step explanation:

a° is 180°

c° is 120° (from 180° = 60° + c°)

Answer:

trapezoid

Step-by-step explanation:

Answer: x = -3

Step-by-step explanation:

-3x = 9

9 ÷ -3 = -3

:)

Answer:

x = -3

Step-by-step explanation:

-3x = 9

9 divide by -3 = -3

Answer:

The answer is B

Step-by-step explanation:

Answer:

ans is B sorry if it's direct

Answer:

B is your correct answer

Step-by-step explanation:

The image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).

The inverse of a function is a new function that "undoes" the original function. More formally, if a function f maps elements of a set X to elements of a set Y, and if there is a function g that maps elements of Y back to elements of X such that g(f(x)) = x for all x in X, then g is called the inverse of f.

First, we need to find the inverse of f(x) = 1/2x + 2. We can do this by switching x and y and solving for y:

x = 1/2y + 2

x - 2 = 1/2y

2x - 4 = y

So, the inverse function is f⁻¹(x) = 2x - 4.

Now, we can use the coordinates of point Ato find its image on the graph of f⁻¹(x).

Point A has coordinates (x, y) = (0, 2) since it lies on the graph of f(x) = 1/2x + 2. We want to find the image of this point on the graph of f⁻¹(x) = 2x - 4.

We can start by plugging in y = 2 into the equation for f⁻¹(x):

y = 2x - 4

2 = 2x - 4

6 = 2x

x = 3

So, the image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).

Learn more about Inverse of Function here:

https://brainly.com/question/2541698

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6. yes, if line was originally in the top right quadrant you could lower y intercept so that it no longer goes through top right

Answer:

your just finding area so

1.5×2.5=

1.5×1.5/2=

1.5×2.5=

I will put the answers in the comments I need to use a calculator

Answer:

Step-by-step explanation:

Think of it as two rectangles and one triangle.

The first rectangle is 1.5 * 2.5 = 3.75 square feet.

There is two of these rectangles, so you can do 3.75 *2 = 7.5 square feet.

Finally, the triangle is 1.5 by 1.5, so the area is 1.5 * 1.5 / 2 = 1.125.

To find the total area, add the two together: 7.5 + 1.125 = 8.625 square feet

Answer:

i dont know just trying to get pionts haha sorry rihana

Step-by-step explanation: