Dish Network charges $100 for installation plus $55 each month for their service. If you have spent a total of $540, how many months have you had Dish Network?

Answers

Answer 1
Answer:

Answer:

8  months

Step-by-step explanation:

cost = 100 + 55m where m is the number of months

540 = 100 + 55m

Subtract 100 from each side

540-100 = 100 + 55m -100

440 = 55m

Divide each side by 55

440/55= 55m/55

8 = m

8 months

Answer 2
Answer:

Answer:

Step-by-step explanation:

55m + 100 = 540

55m = 440

m = 8 months


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How do you put this in simplest form?
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Jack, Jill, and Ron share a 2-bedroom apartment. Rent is represented by R. The water bill is $20 per person. The electric bill is $250 a month. Jill will be picking up the water bill for everyone as well as half of the electric. Ron will be paying the other half of the electric bill as well as his third of the rent. Jack will be paying Jill's portion of the rent as well as his own. Match each person with the appropriate algebraic expression.-abcd -abcd 185-abcd -abcd Jill's paymentJack's paymentRon's paymentNo Match

Answers

Jack: 2R/3
Jill: 3 • 20 + 0.5 • 250 = 185
Ron: R/3 + 125

hope that helps

In winter, the price of apples suddenly went up by$0.75 per pound. Sam bought 3 pounds of apples at the new price for a total of $5.88. Write an equation to determine the original price per pound (p) and then find the original price per pound.

Answers

From the information given, the original price per pound was increased by $ 0.75
Let the original price be x, so the new price is x + 0.75

Sam bought 3 pounds of apples at new price and it cost him 5.88

so we form an equation:

3 (x + 0.75) = 5.88

3x + 2.25 = 5.88

3x = 5.88 - 2.25

3x = 3.63

x = 3.63 / 3

x = 1.21

Therefore the original price per pound is 1.21 dollars


Answer:

1.21=x

Step-by-step explanation:

Do

3 (x + 0.75) = 5.88

then 3x + 2.25 = 5.88

then 3x = 5.88 - 2.25

to 3x = 3.63

and last of allx = 3.63 / 3

When dividing each of the numbers $$3759$$ and $$4139$$ by some positive integer number, the remainder happened to be equal to $$16$$. What is the smallest possible value of the divisor?

Answers

Answer:

The smallest possible value of the divisor is 19

Step-by-step explanation:

The given numbers for division are;

3759 and 4139, the remainder = 16

Let x represent the number

Therefore, we have;

x > 16

x is a factor of 3759 - 16 = 3743, and x is also a factor of 4139 - 16 = 4123

The factors of 3743 obtained from an online resource are 1, 19, 197, 3759

The factors of 4123 obtained from an online resource are 1, 7, 19, 31, 133, 217, 589, 4123

The common factors of 3743 and 4123 are 1, 19

Given that x > 16, we have, x = 19

Therefore, the smallest possible value that will divide both 3759 and 4139 whereby the remainder is 16 = 19

What can be said about the discriminant of the graph below?

Answers

Answer:

C. The discriminant is negative, so there are no solutions.

Step-by-step explanation:

We see that the given figure is a graph of a parabola.

The equation of the given parabola is y=(x-3)^(2)+1.

Simplifying the equation in quadratic form, we get,

The equation is y=(x-3)^(2)+1 i.e. y=x^(2)+9-6x+1 i.e. y=x^(2)-6x+10.

We know that the discriminant of a quadratic equation ax^(2)+bx+c=0 is given by D=b^(2)-4ac

So, from the equation x^(2)-6x+10=0, we have,

a = 1, b = -6 and c = 10

Thus, the discriminant is D=(-6)^(2)-4* 1* 10

i.e. D=36-40

i.e. D=-4

So, the discriminant is -4 i.e. negative.

Hence, as the discriminant is negative, there are no solutions.

2m^3 + 8m^2 + 9m +36 factor this expression with work?

Answers

2m^3+8m^2+9m+36

Factor

(m+4)(2m^2+9)


I hope that's help !

First group...

(2m^3 + 8m^2)+(9m + 36)=

then factor...

2m^2(m+4) + 9(m+4) =

(2m^2+9)(m+4)

blank +blank =8 blank=4 rewrite the equation by replacing the variable with the correct number

Answers

4+4=8 this is the correct numbers.
Since blank = 4, you replace the word blank with 4.

4 + 4 = 8