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defon
3 years ago
7

What is the sum (2/5x + 5/8) + (1/5x - 1/4)?

Mathematics
1 answer:
rosijanka [135]3 years ago
3 0

Answer:

\frac{3}{8} + \frac{3x}{5}

Step-by-step explanation:

\left(\frac{2}{5}x + \frac{5}{8}\right)+\left(\frac{1}{5}x-\frac{1}{4}\right) =

\frac{2}{5}x+ \frac{1}{5}x+ \frac{5}{8}- \frac{1}{4} (Group Like Trems) =

\frac{3}{5}x+\frac{5}{8}-\frac{1}{4} =

\frac{3}{8}+ \frac{3x}{5}

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A population of 100 frogs increases at an annual rate of 22%. How many frogs will there be in 5 years? Write an expression to re
gizmo_the_mogwai [7]
Exponential growth of the form:

F=Ar^t

F=100(1.22)^t

F(5)=100(1.22)^5

F(5)=270.27

F(5)=270 to the nearest frog...

....

1.22=r^12

r=1.22^(1/12)

F=100(1.22^(1/12)^t)

F=100(1.22^(t/12))  now it will produce monthly populations...

Say we did the same as before but instead of 5 years you have 60 months...

F(60)=100(1.22^(60/12))

F(60)=270 to the nearest frog... :P 
6 0
3 years ago
What is the side length of the largest square that can fit into a circle with a radius of 5 units?
Mariana [72]
So 1st consider that it's a square! That's very important. So for a square, all 4 sides are equal.

And now considering that the given information is the diameter. So any angle made at the circle extended from the 2 points of diameter gives an angle of 90°

Now consider one triangle. So we already know that 2 sides of the triangle are equal (because they are 2 sides of a square) , has a side of 10 (diameter) and and angle of 90°. So remaining 2 angles are 45°

Now solve it by applying

\sin(45) \: \: \: \: = x \div 10 \\ (1 \div \sqrt{2} ) = (x \div 10) \\ 10 \div \sqrt{2} \: = x
5 0
3 years ago
Find the value of the lesser root of x2 + 12x + 35 = 0.
matrenka [14]
In quadratic equations,
                                   a + b = -B
                                      ab = C
where a and b are the roots, B is the second term, and C is the constant.
Substituting,
                                  a + b = -12
                                      ab = 35
The values of a and b from the equation is -7 and -5. Thus, the lesser root is -7. 
8 0
3 years ago
Please find X when x÷20=5
tia_tia [17]
X=100 because 20 X 5 is 100
6 0
3 years ago
Read 2 more answers
Please help me! I don't understand this! DUE TODAY
pishuonlain [190]
Answer: See the answers below.

The first equation that needs to be solve is: 10 = -16t^2 + 18
If you use the quadratic equation, you will get 0.707 seconds.

For the second equation, you need to solve 0 = -16t^2 + 18.
If you use the quadratic equation, you will get 1.061 seconds.

No, the rate of change is not constant because this is a quadratic equation.
5 0
3 years ago
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