Using the breaking down Method, what is the best way to multiply 8 by 7?

5(wx + yz) =5wx + 5xy

MrMuchimi

Answer:

Step-by-step explanation:

5wx+5yz=5wx+5xy

5wx-5wx+5yz=5xy

5yz=5xy

6 0

3 years ago

Read 2 more answers

Biologists stock a lake with 160

Nutka1998 [239]

Answer:

$P ( t ) = \frac{9100.024}{1 + 55.875e^-^1^.^1^3^5^0^6^*^t}$

Step-by-step explanation:

Solution:-

- We are given a logistic growth model of the fish population cultured. The logistic growth of fish population is modeled by the following equation:

$P ( t ) = \frac{c}{1 + 55.875e^-^ 1^.^1^3^5^0^6^t}$

Where, c: the constant to be evaluated.

- We are given the initial conditions for the model where at t = 0. The initial population was given to be:

t = 0 , Po = 160

N ( carrying capacity ) = 9100

- After a year, t = 1. The population was tripled from the initial value. That is P ( 1 ) = Po*3 = 160*3 = 480.

- We will use the given logistic model and set P ( 1 ) = 480 and determine the constant ( c ) as follows:

$P ( 1 ) = \frac{c}{1 + 55.875e^-^ 1^.^1^3^5^0^6^*^1} = 480\\\\c = 480* [ 1 + 55.875e^-^ 1^.^1^3^5^0^6]\\\\c = 9100.024$

- The complete model can be written as:

$P ( t ) = \frac{9100.024}{1 + 55.875e^-^1^.^1^3^5^0^6^*^t}$

8 0

4 years ago

5/9 × 8/11 what is the answer

nikitadnepr [17]

Answer:

$\frac{5}{9} \times \frac{8}{11} = \frac{5 \times 8}{9 \times 11} = \frac{40}{99} = 0.4040$

7 0

3 years ago

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Can anyone help me find the coordinates (?,?) given that the shape is a parallelogram? (15 points)

xxTIMURxx [149]

The missing coordinates of the parallelogram is (m + h, n).

Solution:

Diagonals of the parallelogram bisect each other.

Solve using mid-point formula:

$$\text{Midpoint} =\left( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right )$

Here $x_1=m, y_1=n, x_2=h, y_2=0$

$$=\left( \frac{m+h}{2}, \frac{n+0}{2}\right )$

$$\text{Midpoint} =\left( \frac{m+h}{2}, \frac{n}{2}\right )$

<u>To find the missing coordinate:</u>

Let the missing coordinates by x and y.

Here $x_1=0, y_1=0, x_2=x, y_2=y$

$$\text{Midpoint}=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{0+x}{2}, \frac{0+y}{2}\right )$

$$\left( \frac{m+h}{2}, \frac{n}{2}\right )=\left( \frac{x}{2}, \frac{y}{2}\right )$

Now equate the x-coordinate.

$$ \frac{m+h}{2}=\frac{x}{2}$

Multiply by 2 on both sides of the equation, we get

m + h = x

x = m + h

Now equate the y-coordinate.

$$\frac{n}{2} = \frac{y}{2}$

Multiply by 2 on both sides of the equation, we get

n = y

y = n

Hence the missing coordinates of the parallelogram is (m + h, n).

5 0

3 years ago

Mr Brown has 2 children are going to london by train 1 adult costs £24 and child ticket costs 12 1/3 off adults tickets and 60%

jasenka [17]

Complete Question

Mr Brown has 2 children are going to london by train

1 adult costs £24 and child ticket costs 12

The Family Railcard offers:

1/3 off adults tickets and 60% off child ticket

What is the total cost of tickets when Mr Brown uses the Family Railcard

Answer:

£25.60

Step-by-step explanation:

From the question:

1 adult costs £24

The Family Railcard offers:

1/3 off adults tickets.

Hence:

1/3 × £24 = £8

The cost for Mr Brown = £24 - £8

= £16

Child ticket costs £12

The Family Railcard offers:

60% off child ticket

Hence = 60% × £12

= 60/100 × £12

= £7.2

The cost for 1 child = £12 - £7.2

= £4.8

The total cost of tickets when Mr Brown uses the Family Railcard is:

Cost for Mr Brown + Cost for his 2 Children

£16 + 2 × £4.8

£16 + £9.6

= £25.60

6 0

3 years ago