Please help me I need help

Lucy's fish tank has 14 liters of water in it. She plans to add 5 liters per minute until the tank has at least 49 liters. What

Fudgin [204]

Answer:

V = 14 + 5t

14 + 5t ≥ 49

Lucy has to add water at least for 7 minutes.

Step-by-step explanation:

There were 14 liters of water in Lucy's fish tank. She was about to add water at the rate of 5 liters per minute until there were at least 49 liters of water in the tank.

If t represents the number of minutes she adds water and V is the volume of water in liters in the fish tank, then we can write the equation as

V = 14 + 5t ........... (1)

Now, this volume of water in the tank V must be at least 49 liters.

So, 14 + 5t ≥ 49 is the required inequality.

⇒ 5t ≥ 35

⇒ t ≥ 7

So, Lucy has to add water at least for 7 minutes. (Answer)

8 0

4 years ago

Brianna is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $3.75. Brianna spent $18.75 a

maxonik [38]

Answer:

6 games and 3 rides

Step-by-step explanation:

Let the number of games Brianna played be x,

and the number of rides she went on be y.

Total cost for games= 1.25x

Total cost for rides= 3.75y

Since number of games is twice the number of rides,

x= 2y -----(1)

Total costs= cost of games +cost of rides

$18.75= 1.25x +3.75y$

Multiply the whole equation by 4 to remove the decimals:

$75= 5x +15y$

Simplify by dividing the whole equation by 5:

$15 = x + 3y$

Label the equation:

x +3y= 15 -----(2)

Although we can solve these 2 equations by substitution, since the question requires us to graphically solve, we have to graph 2 linear lines.

I will choose 3 points to plot on the graph for each equation:

x= 2y -----(1)

$\begin{tabular}{|c|c|c|c|} \cline{1-4}x & 2(1) = 2&2(2) = 4&2(3) = 6\\ \cline{1-4}y & 1 &2&3\\ \cline{1-4}\end{tabular}$

x +3y= 15 -----(2)

x= -3y +15

$\begin{tabular}{|c|c|c|c|} \cline{1-4}x & -3(1)+15= 12& -3(2)+15= 9& -3(3)+15= 6\\ \cline{1-4}y & 1 &2&3\\ \cline{1-4}\end{tabular}$

Let's plot these points on a graph paper. Then, join them with a straight line for each straight line graph. Please see the attached picture for the graph.

From (1): y= ½x

From (2): 3y= 15 -x

y= 5 -⅓x

From the graph, the solution of the equation is (6,3). The solution is the point on the graph in which the 2 lines intersect.

x- coordinate: 6

y- coordinate: 3

Thus, Brianna played 6 games and went on 3 rides.

8 0

4 years ago

Read 2 more answers

What is the e at the end of a scientific number?

kherson [118]

Scientific notation is another way to write a number. In scientific notation, the letter E is used to mean "10 to the power of." For example, 1.314E+1 means 1.314 * 101 which is 13.14 .

6 0

3 years ago

what is the probability that the dart lands on a white slice, given that the dart lands on a number less than 9? write answer as

OverLord2011 [107]

Answer:

6/10

Step-by-step explanation:

First, you need to get rid of all the blue slices, leaving 6 behind. Since they are all less than 9, you have a 6/10 chance of getting a white slices less than 9 :)

Hope this helps! :D

6 0

3 years ago

What are the coordinates of the point on the directed line segment from (-10, -2) (10,−10) that partitions the segment into a ra

sveta [45]

Answer:

The answer to your question is (-5/2, -5)

Step-by-step explanation:

Data

A (-10, -2)

B (10, -10)

ratio 3/5

Formula

X = (x₁ + rx₂)/(1 + r)

Y = (y₁ + ry₂)/(1 + r)

Process

1.- Calculate X

x₁ = -10 x₂ = 10

X = (-10 + 3/5(10))/ (1 + 3/5)

X = (-10 + 30/5) / 8/5

X = -4/8/5

X = -5/2

2.- Calculate Y

y₁ = -2 y₂ = -10

Y = (-2 + (3/5)(-10))/(1 + 3/5)

Y = (-2 - 30/5) / 8/5

Y = -8/8/5

Y = -5

3.- The coordinates of the point are (-5/2, -5)

5 0

4 years ago