1. find volume
V=LWH
V=25*13*14
V=4550
each covers 1000
how many will cover the whole thing?
we can't put 4 becuase that leaves 550 uncovered
add another
5 is answer (it is too much , but at leas not too little) answer is D
2.
V=LWH
V=6*4*10
V=240
answer is D
3. count how many are there, don't forget the hidden ones
13 cubes
volume=legnth tiems width times height
cubes so
v=side^3
side=3
3^3=27
13 cubes
13*27=351 in^3
challenge (this is meant to challenge you, not for you to ask people, but I will solve anyway, robbin you of experience)
V=LWH
V=5880
H=30
5880=LW30
divide both sides by 30
196=LW
they have square bases so L=W
196=L^2
sqrt both sides
14=L=W
the side legnth is 14in
2 (5 - 8x) - 13 = 9 (1 - x) - 12
10 - 16x - 13 = 9 - 9x - 12
10 - 13 - 16x = 9 - 12 - 9x
- 3 - 16x = - 3 - 9x
- 3 + 3 = - 9x + 16x
0 = 7x
0/7 = x
0 = x
_____
Hope it helps ⚜
Answer:
x = 9
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
0.8x = 7.2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Divide both sides by 0.8: x = 9
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitute: 0.8(9) = 7.2
- Multiply: 7.2 = 7.2
7.2 does indeed equal 7.2. ∴ x = 9 is a solution.
And we have our final answer!
Answer:
Step-by-step explanation:
One of the important things to remember about parabolas is that the vertex is directly in between the focus and the directrix. Our focus is at (4, 0) and the directrix is at (-4, 0), so that means that the vertex (h, k) is at the origin (0, 0). Another important thing to remember is that the distance between either the vertex and the focus or the vertex and the directrix is the p value, the value that tells us how stretched or compressed the parabola is. Another thing to remember is that a parabola will always wrap itself around the focus away from the directrix. So here's what we know then:
Our parabola opens to the right, the equation for that is
,
p = 4, and the vertex is (0, 0). Filling in the formula for the parabola using that info:
which simplifies a bit to
and solving it for x:
Average speed = 2.5 miles
Divide 6 from both sides.
6/6 = 1
15/6 = 2.5
So, overall Mark walks 2.5 miles per hour.
hope it helps!
