Answer:
The height is 5 units
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh where b is the base and h is the height
30 = 1/2 (12) h
30 = 6h
Divide each side by 6
30/6 = 6h/6
5 = h
The height is 5 units
Answer: I believe the answer is 9 days.
Step-by-step explanation: 16 divided by 1.75 (1 and three-fourths) is equal to 9.143, which is only enough to feed him 9 full days.
Move the constant to the right-hand side and change its sign to minus sign since it is in plus
Subtract the numbers
Divide both sides of equation by 3
- On observing the above steps, Option B is correct!
- <em>First</em><em> </em><em>step</em><em> </em><em>is</em><em> </em><em>subtraction</em><em> </em><em>then</em><em> </em><em>division</em>
Call the notebooks x, and the pencils y.
<span>3x + 4y = $8.50 and 5x + 8y = $14.50 </span>
<span>Then just solve as simultaneous equations: </span>
<span>3x + 4y = $8.50 </span>
<span>5x + 8y = $14.50 </span>
<span>5(3x + 4y = 8.5) </span>
<span>3(5x + 8y = 14.5) </span>
<span>15x + 20y = 42.5 </span>
<span>15x + 24y = 43.5 </span>
<span>Think: DASS (Different Add, Similar Subtract). 15x appears in both equations so subtract one equation from the other. Eassier to subtract (15x + 20y = 42.5) from (15x + 24y = 43.5) </span>
<span>(15x + 24y = 43.5) - (15x + 20y = 42.5) = (4y = 1) which means y = 0.25. </span>
<span>Then substitue into equation : </span>
<span>15x + 20y = 42.5 </span>
<span>15x + 5 + 42.5 </span>
<span>15x = 42.5 - 5 = 37.5 </span>
<span>15x = 37.5 </span>
<span>x = 2.5 </span>
<span>15x + 24y = 43.5 </span>
<span>15(2.5) + 24(0.25) </span>
<span>37.5 + 6 = 43.5 </span>
<span>So x (notebooks) are 2.5 ($2.50) each and y (pencils) are 0.25 ($0.25) each.</span>
