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Fed [463]
4 years ago
12

1) In the national park, the ratio of black bears to grizzly bears is 3:1.

Mathematics
1 answer:
Vika [28.1K]4 years ago
8 0
A)
3 : 1
24 : ? 
Add the ratio together (3+1=4), Divide the one you know (24 Black bears) by the ratio (24/4=8), the answer equals the amount of the missing value. (?=8)

B)
3 : 1
? : 12
12*3=36    ?=36
The black bear is just 3* bigger than the grizzly bear.

C)
Total =20
Add the ratio together (3+1=4), divide by the total (20/4=5), and then just multiple the ratios by 5.
3 : 1
15 : 5

I hope this helps :)


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H=-2
8+-2=6
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Step-by-step explanation:

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hope this helps

4 0
3 years ago
(21 divided by 7 ) X 4
nikdorinn [45]
21 divided by 7 = 3
so that means 3 x 4 is 12
8 0
4 years ago
Read 2 more answers
Please help me, I really would appreciate it. I am struggling with this.
AnnZ [28]
2)

let's say the number is "a".

"two more than the number"  ----> a + 2

"five times more than that"  -----> 5 * (a + 2) ---> 5(a + 2)

"the sum of that number and 5 times the number more than 2"

a + 5(a + 2)

"is 26 more than four times the number" ----> = 4*a + 26 ---> = 4a + 26

a + 5(a + 2) = 4a + 26

\bf a+5(a+2)=4a+26\implies a+5a+10=4a+26
\\\\\\
6a-4a=26-10\implies 2a=16\implies a=\cfrac{16}{2}\implies \boxed{a=8}

3)

"eight times the number" ---> 8 * a, or 8a

"3 less than that" ----> 8a - 3

"the number increased by 1" ---> a + 1

"16 times that"  ---> 16(a + 1)

"half that" ----> [ 16(a + 1) ] / 2

\bf 8a-3=\cfrac{16(a+1)}{2}\implies 2(8a-3)=16(a+1)
\\\\\\
16a-6=16a+16\implies \underline{16a-16a}-6=16\implies \stackrel{\textit{inconsistent system}}{-6\ne 16}

4)

\bf \begin{cases}
y=5x+1\\
y-2x-1
\end{cases}\qquad 5x+1=2x-1\implies 5x-2x=-1-1
\\\\\\
3x=-2\implies x=-\cfrac{2}{3}

5)

notice each equation, they're both in slope-intercept form, y = mx + b.

now, notice their slope, is the same for both, notice their y-intercept, it varies.

same slope, different y-intercept simply means, the lines are parallel.
3 0
3 years ago
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