Set up your two equations:
<span>9x+7y=53 </span>
<span>3x+5y=25 </span>
<span>X=cost per pound of jelly bean </span>
<span>Y=cost per pound of trail mix </span>
<span>Multiply the second equation by (-3): </span>
<span>-9x-15y=-75 </span>
<span>+ 9x+7y=53 <---- copy first equation and add them </span>
<span>—————— </span>
<span>0x-8y=-22 </span>
<span>Then solve for y: </span>
<span>Y=2.76 this is your cost per pound of trail mix. </span>
<span>Then plug y back in to one of the original equations and solve for x: </span>
<span>3x+7(2.75)=25 </span>
<span>X=3.75 this is you cost per pound of jelly beans</span>
The subtraction theorem states that for all real numbers,
and
,
.
(To subtract, we can add the inverse.)
Thus, we can have the these two equivalent expressions.
Answer:
Step-by-step explanation:
4x > -16 reduces to x > -4: All numbers greater than x = -4 (shaded area to the right of -4).
6x < -48 reduces to x < -8: All numbers to the left of -8 (shaded area to the left of -8).
Solution: (-infinity, -4) ∪ (-8, infinity)
The number line between -8 and -4 is not part of the solution set (is not shaded or darkened)
Draw an open circle at -8 and extend an arrow to the left of this circle. Then draw an open circle at -4 and extend an arrow to the right of this circle.
Answer:
420 + 15 = 435
360 + 45 = 405
435 - 405 = 30.
30 minutes less sunlight
Step-by-step explanation:
