you have a 1.5 litre bottle of water and drink 295 millilitres and your friend drinks 135 millilitres, how much water is left

Answer:

Option B , C  and E are correct

(y+25)(y-30)=0

Step-by-step explanation:

Given : Area of rectangular room is 750 square feet.

Width of the room is 5 feet less than the length of the room.

Let y be the length of the room

then,

As per the given condition

width of the room is: y-5

Area of rectangle is multiply the length by its width.

Area of rectangle =

Substitute the given values in above formula we get;

                           ......[1]

or we can write this as;

750 -y(y-5)=0

[1] ⇒  or

or

(y+25)(y-30)=0

Therefore, the equation which can be used to solve for y are;

,  and (y+25)(y-30)=0

Answer:

729

Step-by-step explanation:

C(x) = 6x + 3 (in USD)

Further explanation

Given:

• The fee to rent is $3 for the day.
• Gillian rented skates and skated for 3 hours and was charged $21.

Question:

The equation that represents cost, C(x), ice skating as a function of x, the number of hours of skating.

The Process:

We try solving a word problem about the single variable equation.

Step-1: calculate the cost of skates per hour.

Let the rate of using the skating rink be R per hour. We will seek the value of R.

On that day Gillian rented skating for 3 hours and paid $ 21. The equation that will determine this given by:

Both sides subtracted by 3.

We isolate R on the left side. Both sides are divided by 3.

Hence, the fee of skates per hour is

Step-2: determine the cost equation for ice skating

Let x as the number of hours of skating.

Recall the fee of skates per hour is $6 and the fee to rent is $3 for the day.

Thus, the equation which represents the cost of ice skating as a function of x, the number of hours of skating, will be given by:

(in USD)

Learn more

1. How much (in US dollars) will you spend on fuel on your trip? brainly.com/question/3959122
2. Gasoline efficiency in Europe  brainly.com/question/1504545
3. Which expression represents the amount of change Huang should receive? brainly.com/question/13087541

Keywords: the ice skating rink, charges an hourly fee, Gillian rented skates,  the equation represents the cost, C(x), a function of x, the number of hours of skating, a word problem, the single variable equation

Answer:

-6, 8

Step-by-step explanation:

Let the numbers be represented by y

Square of y = y^2

Double y = 2 × y = 2y

Square of the number is 48 more than double the number is written mathematically as

y^2 = 2y +48

y^2 - 2y - 48 = 0

This is a quadratic equation and can be solved by method of factorisation

y^2 -2y - 48 = 0

y^2 + 6y - 8y - 48 = 0

(y^2 + 6y) - (8y - 48) = 0

y(y + 6) - 8(y + 6) = 0

(y + 6)(y - 8) = 0

y = -6, 8

The numbers are -6, 8

Answer:

8, -6

Step-by-step explanation:

Let the number be $n$, so we have $n^2 =48 + 2n$. Rearranging this equation gives $n^2 -2n-48=0$ and factoring gives $(n-8)(n+6)=0$. So, the numbers that fit the problem are $\boxed{n = -6~\text{and}~n = 8}$.