Answer:
840 cubic inches
Step-by-step explanation:
Given:
The wooden steps have two parts.
Both of which are rectangular prisms.
The top part is 6 inches tall, 5 inches wide and 10 inches long.
The bottom part is 6 inches tall, 9 inches wide and 10 inches long.
Question asked:
What is the volume of the steps?
Solution:
<u>For top part</u>
Length = 10 inches
Width = 5 inches
Height = 6 inches
<u><em>As we know:</em></u>
<u><em /></u>

<u>For bottom part</u>
Length = 10 inches
Width = 9 inches
Height = 6 inches
Similarly


Volume of two steps = 300 + 540 = 840 cubic inches
<em>Therefore, the volume of the steps are 840 cubic inches.</em>
<em></em>
Given:
Consider the given equation is:

To find:
The missing exponent.
Solution:
Let x be the missing exponent. Then the given equation can be written as

It can be rewritten as:

![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)
On comparing the coefficient of m, we get



Therefore, the value of the missing exponent is 8. So, the complete equation is
.
Answer:
Step-by-step explanation
Hello!
3x/4 + 6=42
3x/4=42-6 = 36
3x = 36*4
3x = 144
x= 144/3 =48
3/4 of 48 = (48*3) / 4 =36
36+6=42
the original number is 48
Just go through it phrase by phrase by phrase - one step at a time.
2*( )
2*(x - 7)