Answer:
(28 + h + p)/4 = k
Step-by-step explanation:
Step 1: Write equation
h + p = 4(k - 7)
Step 2: Solve for <em>k</em>
<u>Distribute 4:</u> h + p = 4k - 28
<u>Add 28 to both sides:</u> 28 + h + p = 4k
<u>Divide both sides by 4:</u> (28 + h + p)/4 = k
<h2><u>Part A</u>: He started with
4 miles. </h2>
<u>Explanation Part A</u>: 51.664 = (x((1.2⁷)-1)) / 0.2
<h2>
<u>Part B</u>: The equation is
51.664 = (x(1.2⁷)-1)/0.2</h2>
<u>Explanation</u>: n = 7 and on day 7 he traveled 51.664 so Sn = 51.664.
We get the second part of the equation because each day is increased by 20% so we have r = (1.2x) / x = 1.2
So our top half will be x multiplied by ((1.2)⁷-1) because it's the 7th day and we are increasing by 1.2x - 1.
Our bottom half is 1.2 - 1 which equals 0.2
<h2><u>Part C</u> :
103.83 miles</h2>
<u>Explanation: </u> We now have x which is 4 so we plug x into the equation above and remove the 51.664. We also change the 1.2⁷ to 1.2¹⁰ because it's the 10th day not the 7th.
Our equation now looks like (4(1.2¹⁰)-1) / 0.2 which is equal to 103.83 miles.
Answer:
30 cubic feet
Step-by-step explanation:
Here we are given the volume of rectangular pyramid as 90 cubic feet as we are required to find the volume of rectangular prism.
For that we need to use the theorem which says that
the volume prism is always one third of the volume of the pyramid . Whether it is rectangular of triangular base. Hence in this case also the volume of the rectangular prism will be one third of the volume of the rectangular pyramid.
Volume of Rectangular prism =
* Volume of rectangular pyramid
=
* 90
= 30
quadrant IV
Sure hope this helped you, have a good day! =)
Given:
A driver is below the surface of the water at - 15m. he dives down by 6m, then rises 4m.
To find:
The current location of the driver.
Solution:
In this problem, negative sign is used for downward direction or the distance below the surface of the water.
Initial location = -15 m
Dives down by 6m, it means - 6m, then rises 4m, it means 4 m.
Now, the current location is



Therefore, the correct location of the driver is at -17 m it means her is 17 m below the surface of the water.