Answer:
17
Step-by-step explanation:
AC = AB + BC
Since we know what each variable equals, we can write out the equation as shown:
47 = 5x + 3x - 1
Combining like terms:
47 = 8x - 1
Add 1 on both sides:
48 = 8x
Divide 8 on both sides:
X = 6
Now that we know what X equals, we can solve BC.
BC = 3(6) - 1
BC = 18 - 1
BC = 17
Therefore BC = 17.
The volume of cube and rectangular prism are same. Option B.
Step-by-step explanation:
Given,
The length of the edge of the cube (a) = 5 cm
The dimension of rectangular prism (l×b×h) = 5 cm×25 cm×1 cm
To find the relation between the volume of cube and rectangular prism.
Formula
The volume of a cube = a³ cube cm
The volume of rectangular prism = l×b×h cube cm
Now,
The volume of a cube = 5³ cube cm = 125 cube cm
The volume of rectangular prism = 5×25×1 cube cm = 125 cube cm
Hence,
The volume of cube and rectangular prism are same.
Answer: 54.4 mph
Step-by-step explanation:
First find the distance to the train station. If it took Carlos 4 hours to come back driving at 68 mph, the distance is:
= Speed * time
= 68 * 4
= 272 miles
This means that Carlos drove for 5 hours to cover 272 miles the first time. His average speed was therefore:
= Distance / time
= 272/5
= 54.4 mph
Price of one citron = 5 units
Price of one fragrant = 5/7 units = 0.71 units
Further explanation:
Let x be the price of one citron and
y be the price of one fragrant
Then according to given statement
10x+7y = 55 Eqn 1
7x+10y = 64 Eqn 2
Multiplying equation 1 by 7

This will be equation 3.
Multiplying equation 2 by 10

This will be equation 4.
Subtracting equation 3 from equation 4

So,
Price of one citron = 5 units
Price of one fragrant = 5/7 units = 0.71 units
Keywords: Linear Equations, Solving system of linear equations
Learn more about linear equations at:
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Answer:
A is the correct answer
Step-by-step explanation:
Area= (8x-2)^2=(8x)^2 -2(8x)(2) +(2)^2
=64x-32x+4