Answer:
102cm³
Step-by-step explanation:
Imagine the shape as two rectangular prisms, a small one on top of a bigger one. Find their volumes individually, and then add them together:
<u>Small rectangular prism</u>
Volume=length*width*depth
=2*3*(7-5)
=6*2
=12cm³
<u>Bigger rectangular prism</u>
Volume=length*width*depth
=6*3*5
=6*15
=90cm³
12+90=102cm³
Answer:
Step-by-step explanation:
Step 1: Write out equation
d(-3 + x) = kx + 9
Step 2: Distribute
-3d + dx = kx + 9
Step 3: Subtract dx on both sides
-3d = kx - dx + 9
Step 4: Subtract 9 on both sides
-3d - 9 = kx - dx
Step 5: Factor
-3d - 9 = x(k - d)
Step 6: Divide both sides by k - d
Answer:
The cost at both Laser Flash and Laser storm would be the same after 4 games
Step-by-step explanation:
Let the number of games be represented as x
Laser flash charges an initial fee of $16 for gear and $4 per game
For Laser flash , the Equation is:
$16 + $4 × x
y= 16 + 4x
Laser storm charges an initial fee of $20 for gear and $3 per game
$20 + $3 × x
y = 20 + 3x
Hence: Equating both costs to each other
Laser flash = Laser Storm
16 + 4x = 20 + 3x
Collect like terms
4x - 3x = 20 - 16
x = 4 games
The cost at both Laser Flash and Laser storm would be the same after 4 games
A) The dimensions are (x+10) by (x+10).
B) The perimeter is given by 4x+40.
C) The perimeter when x is 4 is 56.
The quadratic can be factored by finding factors of <em>c</em>, the constant, that sum to <em>b</em>, the coefficient of <em>x</em>. Our <em>c</em> is 100 and our <em>b</em> is 20; we want factors of 100 that sum to 20. 10*10=100 and 10+10=20, so those are what we need. This gives us (x+10)(x+10 for the factored form.
Since the dimensions are all (x+10), and there are 4 sides, the perimeter is given by 4(x+10). Using the distributive property we have 4*x+4*10=4x+40.
To find the perimeter when <em>x</em>=4, substitute 4 into our perimeter expression:
4*4+40=16+40=56.
-8 - 5n = 64 + 3n
+5n +5n add 5n to both sides, 5n's cancel out on the left.
______________
-8 = 64 + 8n
-64 -64 subtract 64 on both sides, 64's cancel out on the right.
______________
-72 = 8n
___ ___ divide 8 on both sides, 8's cancel out from the right.
8 8
n= -9, final answer
