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Korvikt [17]
3 years ago
5

The ratio of bunnies to squirrels was 3 to 5 if there was 168 bunnies

Mathematics
1 answer:
bulgar [2K]3 years ago
8 0

Answer: 280 squrriels, 488 animals in total

Step-by-step explanation:

If you want to solve the amount of squrriels this is what you would do:

1.Ratio => 3:5=168:x

2. Cross Multiply => 840=3x

3. Simplify => x= 280

280 squrriels

If you want to solve for total:

Add the amount of squrriels and bunnies:

=> 280+168=448

488 animals in total

Have a nice day! :D

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Answer:

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Step-by-step explanation:

The given equation is written in the form of y=mx+c (where m is the gradient and c is the y-intercept).

Thus, gradient of given equation= -⅔

The products of the gradient of perpendicular lines is -1.

(Gradient of line)(-⅔)= -1

Gradient of line

=  - 1  \div ( -  \frac{2}{3} ) \\  =  \frac{3}{2}

Hence, m= \frac{3}{2}.

Subst. m= \frac{3}{2}into the equation:

y =  \frac{3}{2} x + c

To find the value of c, substitute a pair of coordinates into the equation:

When x= -4, y= 2,

2 =  \frac{3}{2} ( - 4) + c \\ 2 =  - 6 + c \\ c = 2 + 6 \\ c = 8

Thus, the equation of the line is y =  \frac{3}{2} x + 8.

3 0
3 years ago
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Answer:

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Solve by using Pythagorean Theorem, a= 5, b= x-1, and c=x
charle [14.2K]

The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

Step-by-step explanation:

The given is,

             a = 5

             b = x - 1

             c = x

Step:1

      Pythagorean theorem is,

              a^{2} + b^{2} = c^{2}................................(1)

      (  It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )

      From the given values the equation (1) becomes,

                       5^{2} + (x-1) ^{2} = x^{2}

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               25 + ( x^{2} + 1 - 2x ) = x^{2}

                           25 + 1 -2x = 0               ( ∵ Eliminate x^{2} in both sides)

                                     26 = 2x

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Step:2

        From the values of x,

                   a = 5

                    b = ( 13 - 1 ) = 12

                   c = 13

Result:

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