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3 years ago

Suppose you have 48 feet of fencing to enclose a rectangular dog pen. The function

Mathematics

1 answer:

Veseljchak [2.6K]3 years ago

6 0

have you figured out the answer i need help on the problem to

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When you are factoring a trinomial with a leading coefficient other than 1, which would be the best thing to do first?

Alchen [17]

Answer:

Step-by-step explanation:

c. Look for a common factor in each term.

4 0

3 years ago

A machine at a bottling company fills water bottles. the number of bottles filled is proportional to the amount of time the mach

Whitepunk [10]

In the table shown below:

Let N be the number of bottles filled,

Let T be the time in hours.

Given that the number of bottles filled is proportional to the amount of time the machine runs, we have

$\begin{gathered} N\propto T \\ \text{Introducing a proportionality constant, we have } \\ N\text{ = kT} \\ \Rightarrow k\text{ = }\frac{N}{T} \\ \end{gathered}$

Let's evaluate the value of k for each day.

Thus, on monday,

$\begin{gathered} N\text{ = 9900} \\ T\text{ = 5.5} \\ \text{thus,} \\ k\text{ = }\frac{9900}{5.5} \\ \Rightarrow k\text{ = 1800} \end{gathered}$

Tuesday:

$\begin{gathered} N\text{ = }11160 \\ T\text{ = }6.2 \\ \text{thus,} \\ k\text{ = }\frac{11160}{6.2} \\ \Rightarrow k\text{ = 1800} \end{gathered}$

Wednesday:

$\begin{gathered} N\text{ = }12330 \\ T\text{ = }6.25 \\ \text{thus,} \\ k\text{ = }\frac{12330}{6.25} \\ \Rightarrow k\text{ = 1972.8} \end{gathered}$

Thursday:

$\begin{gathered} N\text{ = }10440 \\ T\text{ = }5.80 \\ \text{thus,} \\ k\text{ = }\frac{10440}{5.8} \\ \Rightarrow k=1800 \end{gathered}$

It is observed that all exept wednesday have the same value of k.

Thus, the amount of time required for the number of bottles filled on wednesday is evaluated as

$\begin{gathered} N\text{ = }12330 \\ k\text{ = 1800} \\ T\text{ = ?} \\ \text{but} \\ k\text{ = }\frac{N}{T} \\ 1800\text{ = }\frac{12330}{T} \\ \Rightarrow T\text{ = }\frac{\text{12330}}{1800} \\ T\text{ = 6.85} \end{gathered}$

Hence, the incorrect day is Wednesday. The amount of time for that many bottles should be 6.85 hours.

3 0

1 year ago

4-2 1/4 <br> as a fraction !!!<br> ill mark !!<br> have a good day !!

noname [10]

Answer:

3/4

Step-by-step explanation:

it's for sure 3/4!!!!!

7 0

3 years ago

A teacher shares pencils among his three students Anne, Lucy and John. Anne gets 5 times as many pencils as Lucy, and Lucy gets

Anna [14]

Answer:

step back u idiot

Step-by-step explanation:

7 0

2 years ago

The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest

allsm [11]

9514 1404 393

Answer:

smaller triangle area = 73 1/3 ft^2

Step-by-step explanation:

The smaller triangle has a ratio of linear dimensions of 10/15 = 2/3 of that of the larger triangle. The area ratio is the square of this, so the area of the smaller triangle is ...

(165 ft^2)(2/3)^2 = (165 ft^2)(4/9) = 220/3 ft^2 = 73 1/3 ft^2

3 0

2 years ago