The value of the given expression -1 5/6 x 6 1/2 is equal to -11 11/12.
As given in the question,
Given expression is equal to :
-1 5/6 x 6 1/2
Simplify the given expression -1 5/6 x 6 1/2 to get the value of the expression:
-1 5/6 x 6 1/2
Convert mixed fraction to proper fraction we have :
-1 5/6 = -11 /6
6 1/2 = 13 /2
-11/6 × 13 /2
= -(11 ×13) / (6×2)
= -143 /12
Convert the proper fraction into mixed fraction we get,
= -11 11/12
Therefore, the value of the given expression -1 5/6 x 6 1/2 is equal to -11 11/12.
The complete question is:
Find the value of the given expression:
-1 5/6 x 6 1/2
please explain now!
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Hey there!
Part A- The y-intercept would represent Benny's starting salary: b = 70,000.
The slope would represent Benny's annual raise: m = 3,000.
Part B- The y-intercept is b = 70,000.
The slope is m = 3,000.
<span>
The equation representing Benny's annual salary at any given year is y = mx + b, or y = 3,000x + 70,000, where x is the number of years since Benny started the job.</span>
The theorem would be: If in a triangle two angles equal one another, then the sides opposite the equal angles also equal one another.
This works for any triangle in fact, not just an isosceles (obviously, the theorem implies that the triangle in question is isosceles but you don’t need to know that in advance)
<span><span>y=<span><span>4x</span>−1</span></span>;<span>y=<span><span>2x</span>−5
</span></span></span><span>Step: Solve <span>y=<span><span>4x</span>−1 </span></span>for y:
</span><span>Step: Substitute <span><span>4x</span>−1 </span>for y in <span><span>y=<span><span>2x</span>−5</span></span>:
</span></span><span>y=<span><span>2x</span>−5
</span></span><span><span><span>4x</span>−1</span>=<span><span>2x</span>−5
</span></span><span><span><span><span><span>4x</span>−1</span>+<span>−<span>2x</span></span></span>=<span><span><span>2x</span>−5</span>+<span>−<span>2x</span></span></span></span>(Add -2x to both sides)
</span><span><span><span>2x</span>−1</span>=<span>−5
</span></span><span><span><span><span><span>2x</span>−1</span>+1</span>=<span><span>−5</span>+1</span></span>(Add 1 to both sides)
</span><span><span>2x</span>=<span>−4
</span></span><span><span><span><span>2x/</span>2</span>=<span><span>−4/</span>2</span></span>(Divide both sides by 2)
</span><span>x=<span>−2
</span></span><span>Step: Substitute<span>−2 </span>for x in <span><span>y=<span><span>4x</span>−1</span></span>:
</span></span><span>y=<span><span>4x</span>−1
</span></span><span>y=<span><span><span>(4)</span><span>(<span>−2</span>)</span></span>−1
</span></span><span><span>y=<span>−9</span></span>(Simplify both sides of the equation)
</span><u>Answer:</u><span><span>y=<span>−<span><span>9<span> and </span></span>x</span></span></span>=<span>−<span>2</span></span></span>
