All categories

4 years ago

How can i solve this maths problem z÷3=8

Mathematics

2 answers:

Alona [7]4 years ago

5 0

By multiplying 8 by 3. 8 * 3= z

8 * 3= 28

To check, do 28(z) / 3= 8

Delicious77 [7]4 years ago

4 0

You would multiply both sides by 3 to cancel out the divide 3.
z÷3=8
z=24

You might be interested in

The Department of Agriculture is monitoring the spread of mice by placing 100 mice at the start of the project. The population,

uranmaximum [27]

Answer:

Step-by-step explanation:

Assuming that the differential equation is

$\frac{dP}{dt} = 0.04P\left(1-\frac{P}{500}\right)$ .

We need to solve it and obtain an expression for $P(t)$ in order to complete the exercise.

First of all, this is an example of the logistic equation, which has the general form

$\frac{dP}{dt} = kP\left(1-\frac{P}{K}\right)$ .

In order to make the calculation easier we are going to solve the general equation, and later substitute the values of the constants, notice that $k=0.04$ and $K=500$ and the initial condition $P(0)=100$ .

Notice that this equation is separable, then

$\frac{dP}{P(1-P/K)} = kdt$ .

Now, intagrating in both sides of the equation

$\int\frac{dP}{P(1-P/K)} = \int kdt = kt +C$ .

In order to calculate the integral in the left hand side we make a partial fraction decomposition:

$\frac{1}{P(1-P/K)} = \frac{1}{P} - \frac{1}{K-P}$ .

So,

$\int\frac{dP}{P(1-P/K)} = \ln|P| - \ln|K-P| = \ln\left| \frac{P}{K-P} \right| = -\ln\left| \frac{K-P}{P} \right|$ .

We have obtained that:

$-\ln\left| \frac{K-P}{P}\right| = kt +C$

which is equivalent to

$\ln\left| \frac{K-P}{P}\right|= -kt -C$

Taking exponentials in both hands:

$\left| \frac{K-P}{P}\right| = e^{-kt -C}$

Hence,

$\frac{K-P(t)}{P(t)} = Ae^{-kt}$ .

The next step is to substitute the given values in the statement of the problem:

$\frac{500-P(t)}{P(t)} = Ae^{-0.04t}$ .

We calculate the value of $A$ using the initial condition $P(0)=100$ , substituting $t=0$ :

$\frac{500-100}{100} = A}$ and $A=4$ .

So,

$\frac{500-P(t)}{P(t)} = 4e^{-0.04t}$ .

Finally, as we want the value of $t$ such that $P(t)=200$ , we substitute this last value into the above equation. Thus,

$\frac{500-200}{200} = 4e^{-0.04t}$ .

This is equivalent to $\frac{3}{8} = e^{-0.04t}$ . Taking logarithms we get $\ln\frac{3}{8} = -0.04t$ . Then,

$t = \frac{\ln\frac{3}{8}}{-0.04} \approx 24.520731325$ .

So, the population of rats will be 200 after 25 months.

6 0

4 years ago

Whats the answer to 15 3/4 ÷ 1 3/4 step by step

azamat

Answer:

Step-by-step explanation:

(15×4+3)/4 ÷(4×1+3)/4= 63/4 ÷ 7/4= 9

6 0

3 years ago

What two step equation when solved does x=-3

Travka [436]

Answer:

x + 3 = 0.

Step-by-step explanation:

One would be:

x + 3 = 0 Subtract 3 from both sides:

x + 3 - 3 = 0 - 3

x = -3

7 0

3 years ago

Smoothie Stand at Utah’s Wasatch County’s Demolition Derby sells bananas. If John bought 55 lbs. of bananas at $.24 per pound ex

AlladinOne [14]

I'm assuming the 59% achievement means, markup, so hmmmm well, if the bananas cost him $0.24 or 24cents per pound, so a markup of 59% is just 59% of 0.24 then.

whatever% of anything is just (whatever/100) * anything.

therefore, 59% of 0.24 is just (59/100) * 0.24, or 0.1416.

so, if we add 0.1416 to the 0.24, the selling price will be 0.3816, or just 38cents per pound of bananas.

6 0

3 years ago

Read 2 more answers

I will mark brainliest if correct please answer fast I will give 10 points to the first person who answers

attashe74 [19]

Answer:

$99\ in^{2}$

Step-by-step explanation:

Area of any triangle could be always calculated as base length multiplied by the height perpendicular to the aforementioned base divided by 2. Therefore:

A = 18 * 11 / 2 = 198 / 2 = 99

4 0

3 years ago