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2 years ago

There were 10 black bears in an area. Some years later, there were 17 black bears in the area. What is the percent gain?

Mathematics

1 answer:

Darya [45]2 years ago

4 0

Answer:

The bear population gained 70%.

Step-by-step explanation:

As there are 10 black bears in an area.

By rule of three, we consider that 10 bears represent 100% percentage.

Let is us consider 'p' denotes the current percentage of bears.

10 → 100%

17 → p

$p=\frac{17\times 100}{10}$

$p=\frac{1700}{10}$

$p=170$

Subtract 100 from the 170 to determine the percentage of increase

$170-100=70$

Therefore, the bear population gained 70%.

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Student Produced Response - Calculator

faltersainse [42]

Answer:

$\dfrac{a}{b}=0.75$ .

Step-by-step explanation:

If two equations $a_1x+b_1y+c_1=0$ and $a_2x+b_2y+c_2=0$ has infinitely many solutions, then

$\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}$

The given equations are

$ax+by=10$

$3x+4y=20$

It is given that the above system of equations has infinitely many solutions. So,

$\dfrac{a}{3}=\dfrac{b}{4}=\dfrac{10}{20}$

$\dfrac{a}{3}=\dfrac{b}{4}=\dfrac{1}{2}$

Now,

$\dfrac{a}{3}=\dfrac{1}{2}$ and $\dfrac{b}{4}=\dfrac{1}{2}$

$a=\dfrac{3}{2}$ and $b=\dfrac{4}{2}$

$a=1.5$ and $b=2$

So, a=1.5 and b=2.

Now,

$\dfrac{a}{b}=\dfrac{1.5}{2}=0.75$

Therefore, $\dfrac{a}{b}=0.75$ .

5 0

3 years ago

The expression -2(x-4) is the same as?

Tomtit [17]

Answer:

-2x + 8

Step-by-step explanation:

I applied the distribution technique to the original question.

5 0

2 years ago

The function y= -16t^2 +24t represents the height y (in feet) of a tennis ball bouncing straight up from the ground t seconds af

taurus [48]

We want to know the time, t, it takes the ball to reach a height (y) of 0.
$0=-16t^2+24t$
We can factor out the GCF first. The largest number that will divide evenly into 16 and 24 is 8. Also, both terms have a t, so we can factor that out as well:
$0=8t(-2t+3)$ (-16/8 = -2 and 24/8 = 3)
Using the zero product property, we know that either 8t=0 or -2t+3=0. Solving the first equation, we would divide both sides by 8:
8t/8=0/8
t=0
This is at 0 seconds, before the ball is in the air at all.
Solving the second equation, we start by subtracting 3 from both sides:
-2t+3-3=0-3
-2t=-3
Now we divide both sides by -2
-2t/-2=-3/-2
t=1.5
After 1.5 seconds, the ball will hit the ground again.

5 0

3 years ago

4. A local school is conducting a fundraiser. The relationship between the number of raffle

murzikaleks [220]

Answer:

4. D.$500

5. 165 Im not sure on this one

Step-by-step explanation:

4. 5/25=5 thats how many one costs, then you do 500/5=100

5 0

3 years ago

What is a mixed number for 5/2

m_a_m_a [10]

Answer: 2 1/2

Step-by-step explanation: Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction. Hope this helps!! PLZ mark me!!!

8 0

2 years ago