25 gal min sec Helppppp

The distance d in miles that can be covered by a rabbit in X hours is given in the equation y = 30 x The distance covered by a b

AveGali [126]

Answer:

Rabbit is faster than bear.

Step-by-step explanation:

Speed of rabbit or bear is determined by their rate of change of their distances with time.

The distance covered by rabbit in $x$ hours is given as:

$y=30x$

The above equation is of the form $y=mx$ , where, $m$ is the rate of change of $y$ with $x$ .

Therefore, the rate of change of rabbit's distance with time is 30 mi/h.

Now, from the graph, the slope is given as the rise over run.

Rise is 50 miles and run is 2 miles.

So, rate of change of bear's distance with time is, $m_b=\frac{50}{2}=25\ mi/h$

Now, 30 is greater than 25. So, rabbit is faster than bear.

6 0

3 years ago

Which choice is equivalent to the expression? please help!

Shalnov [3]

the answer is option e. *answer needs to be 20 characters long this should do :)

6 0

3 years ago

Given 14 – 2(x + 8) = 5x – (3x – 34), prove x = -9 what are the steps to be able to prove x=-9

Veronika [31]

Answer: x = -9

steps

Simplifying

14 + -2(x + 8) = 5x + -1(3x + -34)

Reorder the terms:

14 + -2(8 + x) = 5x + -1(3x + -34)

14 + (8 * -2 + x * -2) = 5x + -1(3x + -34)

14 + (-16 + -2x) = 5x + -1(3x + -34)

Combine like terms: 14 + -16 = -2

-2 + -2x = 5x + -1(3x + -34)

Reorder the terms:

-2 + -2x = 5x + -1(-34 + 3x)

-2 + -2x = 5x + (-34 * -1 + 3x * -1)

-2 + -2x = 5x + (34 + -3x)

Reorder the terms:

-2 + -2x = 34 + 5x + -3x

Combine like terms: 5x + -3x = 2x

-2 + -2x = 34 + 2x

Solving

-2 + -2x = 34 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.

-2 + -2x + -2x = 34 + 2x + -2x

Combine like terms: -2x + -2x = -4x

-2 + -4x = 34 + 2x + -2x

Combine like terms: 2x + -2x = 0

-2 + -4x = 34 + 0

-2 + -4x = 34

Add '2' to each side of the equation.

-2 + 2 + -4x = 34 + 2

Combine like terms: -2 + 2 = 0

0 + -4x = 34 + 2

-4x = 34 + 2

Combine like terms: 34 + 2 = 36

-4x = 36

Divide each side by '-4'.

x = -9

7 0

4 years ago

The length of the base of an isosceles triangle is x. The length of a leg is 4x-6. The perimeter of the triangle is 96. Find x.

slava [35]

Answer:

12 units

Step-by-step explanation:

base is x

one of the legs measure 4x-6

therefore, perimeter is equal to

2 (4x - 6) + x = 96

8x - 12 + x = 96

9x = 96 + 12

9x = 108

x = 108/9 = 12 units

5 0

3 years ago

What value can be written on the blank line to make the expressions equivalent

Gala2k [10]

The expression is missing from the question, but here is the given expression which I got from a similar question.

48 + 54 = ___ ´ (8 + 9)

Theleft-hand side of the equation is:
48 + 54 = 102
Now the right-hand side of the equation:
A × (8+9) = Right-hand side
A × (8+9) = 102
Solving for the unknown variable A,
A × 17 = 102
Dividing by 17 on both sides,
A × 17 ÷ 17 = 102 ÷ 17
A × 1 = 6
A = 6

Hence,
48 + 54 = 6 x (8 + 9)

8 0

4 years ago