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Ostrovityanka [42]
2 years ago
15

If the length of a rectangle is 2x + 4 and the width is x - 2. write

Mathematics
1 answer:
Bess [88]2 years ago
3 0

Answer:

  P = 6x +4

Step-by-step explanation:

Use the given values in the formula for the perimeter of a rectangle:

  P = 2(L +W)

__

You have ...

  L = 2x +4

  W = x -2

So, the perimeter is ...

  P = 2((2x +4) +(x -2)) = 2(3x +2)

  P = 6x +4

The perimeter of the rectangle is 6x+4.

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A bacteria culture starts with 160 bacteria and grows at a rate proportional to its size. After 5 hours there will be 800 bacter
Leona [35]

Answer:

Step-by-step explanation:

Let the rate at which the bacteria grow be represented by the exponential equation

P(t) = P0e^kt

P(t) is the population of the bacteria after time t

P0 is the initial population

k is the constant of variation

t is the time

If the initial Population is 160 bacteria's, them the equation becomes;

P(t) = 160e^kt

b) if After 5 hours there will be 800 bacteria, this means

at t = 5 p(t) = 800

Substitute and get k

800 = 160e^5k

800/160 = e^5k

5 = e^5k

Apply ln to both sides

Ln5 = lne^5k

ln5 = 5k

k = ln5/5

k = 0.3219

Next is to calculate the population after 7hrs i.e at t = 7

P(7) = 160e^0.3219(7)

P(7) = 160e^2.2532

P(7) = 160(9.5181)

P(7) = 1522.9

Hence the population after 7houra will be approximately 1523populations

c) To calculate the time it will take the population to reach 2790

When p(t) = 2790, t = ?

2790 = 160e^0.3219t

2790/160 = e^0.3219t

17.4375 = e^0.3219t

ln17.4375 = lne^0.3219t

2.8587 = 0.3219t

t = 2.8587/0.3219

t = 8.88 hrs

Hence it will take approximately 9hrs for the population to reach 2790

7 0
3 years ago
A fruit stand has 200 apples. They order 19 bags with 12 apple each. They sell 42 bags that have 8 apples each. The owner says t
solniwko [45]

Answer:

The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with.

Step-by-step explanation:

Given that:

Number of apples already available with Owner = 200

Number of bags of apples ordered with 12 apples each = 19

Number of apples ordered = 12 \times 19 = 228

OR

Rounding off 19 to 20:

Number of apples ordered  = 12 \times 20 = 240

Around <em>240 apples were ordered</em>.

Number of bags of apples with 8 apples each, sold = 42

Number of apples sold = 42 \times 8 = 336

Rounding off 42 to 40, <em>number of apples sold = around 320</em>

<em></em>

Therefore, 80 more apples were sold than that of apples bought.

So, according to the estimate, there will be 80 fewer apples left than they started with.

<em>Correct answer is:</em>

The owner's estimate is reasonable. They ordered about 240 apples and sold about 320 so they should have about 80 fewer apples than they started with

4 0
3 years ago
Jack’s dog has a rectangular pen.The length is 2 feet longer than the width. The width is 6 feet. What is the distance around th
Marizza181 [45]

Answer:

L=W+X    X=2 feet, W=width, L=length  

if you were to solve it then you would get L=8

Step-by-step explanation:

5 0
4 years ago
Read 2 more answers
What does y= 4x+rx+6 equal? (Solve for x) show all steps please!!
polet [3.4K]
Move all terms to the left side and set equal to zero. then set each factor equal to zero .

x = - 6 - y
______
4 + r
7 0
3 years ago
Find the common difference of the sequence shown.
larisa86 [58]

Answer:

1/6

Step-by-step explanation:

3 0
3 years ago
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