On this graph, 4:00 p.m. occurs at 16 hours after midnight, and 6:00 p.m. occurs at 18 hours after midnight. Which statements ar

To determine the unit rate, divide 1.19 by 12, which gives the cost per ounce. 1.19/12 =.099 per ounce. Since this involves currency, round your answer to two decimal places unless stated otherwise. Rounding.099 results in $0.10 per ounce.

Question is Incomplete; Complete question is given below;

A pile of g pounds of gravel exists in a quarry. During the day, 400 pounds of gravel is added to the pile. Two orders of 900 pounds are removed, resulting in the mound holding 1,500 pounds of gravel by day's end. Formulate the equation that accurately illustrates this scenario.

Answer:

The equation that best represents the situation is .

Step-by-step explanation:

Given:

Initial gravel amount = ''.

Currently Given:

Throughout the day, 400 pounds of gravel is added to the pile.

Thus we can conclude;

Gravel amount after addition =

Also given:

Two orders of 900 pounds are sold and the gravel is taken from the pile.

Hence, two orders of 900 pounds =

This leads us to state;

Gravel amount post-removal =

Now Given:

Remaining gravel at the end of day = 1300 pounds.

Therefore, we derive that;

Consequently, the equation that best describes the scenario is .

Answer:

b = 5√3

b = -5√3

Step-by-step explanation:

We have

Keep in mind, the root of a function corresponds to the value of x at which the function's output is zero.

In this case

The roots of the equation are the b values for which f(b) equals zero.

Thus

For f(b)=0

Take the square root of both sides

Now simplify

 and

So we find that

b = 5√3

b = -5√3

Let C denote the quantity of compost

T represent the quantity of topsoil

Each cubic yard of compost is priced at $25

Thus, the cost of C cubic yards of compost is 25C

Each cubic yard of topsoil costs $15

Therefore, the cost for T cubic yards of topsoil is 15T

Together, the amount of compost plus topsoil equals 10

C + T = 10 -------> Equation 1

The total cost for compost and topsoil is $180

25C + 15T = 180 --------> Equation 2

Rearranging the first equation to find C

C + T = 10

results in

C = 10 - T

Now substitute into the second equation

25C + 15T = 180

25 ( 10 - T) +15T = 180

Using like terms: 250 - 25T + 15T = 180

From which we can simplify to 250 - 10T = 180 by removing 250 from both sides

-10T = 180 - 250

yielding -10T = -70 (dividing both sides by -10)

results in T = 7

In January, 20% of the total savings were achieved. To find this percentage, first determine the difference (increase) between the two amounts you’re scrutinizing. The increase is calculated as New Number - Original Number. Next, divide this increase by the original figure and then multiply by 100 for the percentage increase.