Answer:
- Height: 3cm
-
Length: 6cm
-
Width: 2cm
Step-by-step explanation:
To sketch such a Rectangular Prism, all you need to do is to ensure that the product of the dimensions gives 36 cubic cm.
An example is attached:
- Height: 3cm
-
Length: 6cm
-
Width: 2cm
Volume of a rectangular prism = Length X Height X Width
=6 X 3 X 2
Volume=36 cubic cm
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>
Answer:
It's D. 1.2(line) < 3.1(pi) < 4.6(square root 22)
Step-by-step explanation:
Look in the comments to figure out why D is correct. You're welcome! :)
Answer:
6.298 meters
Step-by-step explanation:
Here, we are told that x is the time of the dive in minutes.
We simply first need to convert 150 seconds to minutes before substitution into the regression formula;
Kindly recall that 60 seconds = 1 minute
So 150 seconds will be 150/60 = 2.5 minutes
We now proceed to substitute into;
j = 0.010 + 2.515(x)
i = 0.010 + 2.515(2.5)
j = 0.010 + 6.2875
j = 6.2975 which go 3 decimal places is 6.298 meters
