Select the correct answer. Help

The length of a rectangular backyard is 6 more than the width of the backyard. The perimeter of the backyard is 44 feet. What is

german

Answer:

112

Step-by-step explanation:

use substitution method:

make 2 equations:

44 = 2(l+w) l=w+6

plug in l:

44 = 2 (w+6+w)

combine like terms:

44 = 2(2w+6)

distribute:

44 = 4w + 12

get 4w alone:

44 = 4w + 12

-12 -12

__________

32 = 4w

Divide to get w alone :

32 = 4w

__ __

4 4

w=8

plug w in:

l = w + 6

l = 8 + 6

get l alone on one side:

l = 14

plug l and w in an are equation:

14 x 8 = 112

7 0

4 years ago

After a special medicine is introduced into a petri dish containing a bacterial culture, the number of bacteria remaining in the

fredd [130]

Complete Question

After a special medicine is introduced into a petri dish containing a bacterial culture, the number of bacteria remaining in the dish decreases rapidly. The number of bacteria decays by a factor of 1/15, every 6.76minutes, and can be modeled by a function, N, which depends on the amount of time, t (in minutes). Before the medicine was introduced, there were 90,000 bacteria in the Petri dish. Write a function that models the number of bacteria t minutes since the medicine was introduced.

Answer:

Nt = 90,000 × e^t/15

Step-by-step explanation:

The function that models the number of bacteria t minutes since the medicine was introduced is written as

Nt = No×e^λt

Where:

No = The initial number of the bacteria after time t

Nt = The current number of the bacteria after time t

λ = Decay constant or factor

t = Time in years

From the question,

No = 90,000 bacteria

Nt = The current number of the bacteria after time t

λ = 1/15

t = Time in years

Therefore, our function is written as:

Nt = 90,000×e^1/15 × t

Nt = 90,000 × e^t/15

6 0

3 years ago

John ordered 4 pairs of black socks and some additional pair of blue socks. The price of the black socks per pair was twice that

Phantasy [73]

Answer: The correct option is

(C) 1 : 4.

Step-by-step explanation: Given that John ordered 4 pairs of black socks and some additional pair of blue socks. The price of the black socks per pair was twice that of the blue.

When the order was filled, it was found that the number of pairs of the two colors had been interchanged. This increased the bill by 50%.

We are to find the ratio of the number of pairs of black socks to the number of pairs of blue socks in the original order.

Let b represents the number of pairs of blue socks that John ordered and p be the price per pair of blue socks.

Then, the price of the black socks per pair = 2p.

The total price of the socks originally is

$C=4\times2p+b\times p=8p+bp$

and the cost of the socks after interchange of the colors is

$C'=4\times p+b\times2p=4p+2bp.$

According to the given information, we have

$(4p+2bp)-(8p+bp)=50\%\times(8p+bp)\\\\\Rightarrow 4p+2bp=\dfrac{8p+bp}{2}+(8p+bp)\\\\\Rightarrow 4p+2bp=\dfrac{3}{2}(8p+bp)\\\\\Rightarrow 4+2b=\dfrac{3}{2}(8+b)\\\\\Rightarrow 8+4b=24+3b\\\\\Rightarrow b=16.$