Answer:
3 3/4
Step-by-step explanation:
Each block is worth 0.5 cm (1/2)
One note - NEVER FORGET THE UNITS
L - 5 blocks (5 blocks × 0.5cm = 2.5cm)
W - 2 blocks (2 blocks × 0.5cm = 1cm)
H - 3 blocks (3 blocks × 0.5cm = 1.5cm)
Formula for Volume:
V = L × W × H
V = 2.5cm × 1cm × 1.5cm = 3.75cm (fraction can be 3 3/4)
You're welcome :)
A) 3x+4=22
B) x=6
How to solve the equation: subtract 4 from both sides. You’re left with 3x=18. What is 18 divided by 3?
Answer:
(1,2)
y=2
x=1
Step-by-step explanation:
x+y=3
3x+5y=13
solve the equation
x=3-y
3x+5y=13
substitute the value of x into an equation
3(3-y)+5y=13
distribute
9-3y+5y=13
add -3y to 5y
9+2y=13
subtract 9 from both sides
2y=4
divide both sides by 2
y=2
substitute the value of y into an equation
x=3-2
subtract 3 to 2
x=1
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(1,2)
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Let the original 2-digit number be xy.
Because 5 times the sum of the digits is 13 less than the number, therefore
5(x + y) = 10x + y - 13
5x + 5y = 10x + y - 13
-5x + 4y = - 13 (1)
The number with reversed digits is yx.
Because 4 times the sum of the digits is 21 less than the reversed 2-digit number, therefore
4(x + y) = 10y + x - 21
4x + 4y = 10y + x - 21
3x - 6y = -21
x - 2y = -7
x = 2y - 7 (2)
Substitute (2) into (1).
-5(2y - 7) + 4y = -13
-10y + 35 + 4y = -13
-6y = -48
y = 8
From (3), obtain
x = 2*8 - 7 = 9
Answers:
The original 2-digit number is 98
The reversed 2-digit number is 89
The difference between the original and the reversed 2-digit numbers is
98 - 89 = 9
You would use the volume of a cone formula ((1/3)(pi)(r^2)h) so it would be (1/3)(pi)(7^2)(24). That simplified to 392(pi) units^3. So the answer is c