Your answer is 33 because you do the opposite of -6, so 27+6=33
Answer:
<h2><em><u>16</u></em><em><u> </u></em><em><u>yards</u></em></h2>
Step-by-step explanation:
<em><u>Given</u></em><em><u>,</u></em>
Volume of the rectangular prism = 128 cubic yards
Base area of the prism = 8 square yards
<em><u>Let</u></em><em><u>,</u></em>
Height of the prism be = h
<em><u>As</u></em><em><u> </u></em><em><u>we</u></em><em><u> </u></em><em><u>know</u></em><em><u>,</u></em><em><u> </u></em>
Base area × height = Volume of the given prism
<em><u>Therefore</u></em><em><u>,</u></em><em><u> </u></em>
By the problem,
=> 8 sq. yd × h = 128 cu. yd
=> 8h = 128
- <em>(</em><em>On</em><em> </em><em>dividing</em><em> </em><em>8</em><em> </em><em>from</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>

- <em>(</em><em>On</em><em> </em><em>Simplification</em><em>)</em>
=> h = 16
<em><u>Hence</u></em><em><u>,</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>height</u></em><em><u> </u></em><em><u>(</u></em><em><u>h</u></em><em><u>)</u></em><em><u> </u></em><em><u>of</u></em><em><u> </u></em><em><u>the</u></em><em><u> </u></em><em><u>prism</u></em><em><u> </u></em><em><u>is</u></em><em><u> </u></em><em><u>16</u></em><em><u> </u></em><em><u>yards</u></em><em><u> </u></em><em><u>(</u></em><em><u>Ans</u></em><em><u>)</u></em>
Answer:
Q1:14 Q2:8903.5
Step-by-step explanation:
I find that using equations to solve problems makes it a lot easier.
The first company's equation would be y=5743+225.75x because 5743 is the set fee and 225.75 is for each ton of sugar. The second company would be y=7500+100.25x for the same reasons.
So we need to find a value of x that works for each company and a value of y that is the same for the cost.
Now we combine them.
Solve for x:
5743+225.75x=7500+100.25x
-5743 -5743
225.75x= 1757+100.25x
-100.25x -100.25x
125.50x=1757
/125.5 /125.5
x=14
Therefore, for Q1, the answer is 14.
Now we solve for y by substituting x for 14.
5743+225.75(14)
5743+3160.5
8903.5
We can also check this with the other equation
7500+100.25(14)
7500+1403.5
8903.5
So therefore, the answer to Q2 would be 8903.5.
3g+5=20
-5. -5
3g=15
Divide both numbers by three
g=5
Answer: D) 8-------------------------
The number outside the (n-1) term, which is 8, is the common difference. It tells us how much to increment by each time. In this case, the next term is found by adding 8 onto the previous term. That's exactly what

is saying.