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zaharov [31]
3 years ago
5

8/9-2/4subtract the following fraction​

Mathematics
1 answer:
HACTEHA [7]3 years ago
6 0
I’m pretty sure the answer is 7/18
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the population of a colony grows from 250 in the year 2000 to 400 in the year 2004. what is the average rate of change of popula
Ilia_Sergeevich [38]

Given:

Population of a colony in 2000 = 250

Population of a colony in 2004 = 400

To find:

The average rate of change.

Solution:

Let y be the population of the colony at x year.

The population of a colony grows from 250 in the year 2000 to 400 in the year 2004.  So, the two points are (2000,250) and (2004,400).

Formula for slope or average rate of change is

m=\dfrac{y_2-y_1}{x_2-x_1}

m=\dfrac{400-250}{2004-2000}

m=\dfrac{150}{4}

m=37.5

Therefore, the  average rate of change of population is 37.5.

3 0
3 years ago
Solve for x.<br> y=(x + a)m
Nikolay [14]

Answer:

x = y/m - a

Step-by-step explanation:

divide both side by m

y/m = x + a

subtract a from both sides

y/m - a = x

switch sides.

x = y/m - a

4 0
3 years ago
Mr Smith bought x number of shirts for the new members of her chorus. The cost for x number of shirts, including $3.99 shipping
fiasKO [112]

We are given that the cost of each shirt = $12.25

It is given that she bought total 'x' shirts, each of cost $12,25.

So, the cost of 'x' shirts is  dollars

Also, there is a shipping charge of $3.99

So, the total cost of 'x' shirts is

Since, the shirts cost her total $77.49.

We have the equation,

12.25x + 3.99 = 77.49

4 0
3 years ago
I need to solve for X<br> X=
Gemiola [76]

\dfrac{2\frac{1}{4}}{\frac{3}{8}}=\dfrac{\frac{15}{16}}{x}\ \ \ \ |\text{cross multiply}\\\\2\dfrac{1}{4}x=\dfrac{3}{8}\cdot\dfrac{15}{16}\\\\\dfrac{2\cdot4+1}{4}x=\dfrac{45}{128}\\\\\dfrac{9}{4}x=\dfrac{45}{128}\ \ \ \ \ |\text{multiply both sides by 4}\\\\9x=\dfrac{45}{32}\ \ \ \ \ |\text{divide both sides by 9}\\\\\boxed{x=\dfrac{5}{32}}

6 0
3 years ago
The volume of a cubical box is 474.552m3.Find the length of each side of the box
Cerrena [4.2K]

The formula of a volume of a cube:

V=a^3

We have V=474.552\ m^3

Substitute:

a^3=474.552\to a=\sqrt[3]{474.552}\\\\a=7.8\ m

Answer: The length of each side of the box is equal 7.8 m.

8 0
3 years ago
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