Equation: 4x + 7 = 3(2x - 5)
Step-by-step solution:
• Expand brackets
-> 4x + 7 = 6x - 15
• Move x variable to a side and the numbers to another
-> 4x - 6x = -15 - 7
• Solve
-> -2x = -22
• Multiply both sides by (-1)
-> -(-2x) = -(-22)
-> 2x = 22
• Divide both sides by 2
-> x = 22/2
-> x = 11
• Justification
-> Put x = 11 in original equation
-> 4(11) + 7 = 3( 2(11) - 5)
-> 44 + 7 = 3(22 - 5)
-> 51 = 3(17)
-> 51 = 51
-> 51 - 51 = 0
-> 0 = 0
Since both sides are equal to each other, the answer to the equation is correct.
I don't know Sam's equation so I'm not gonna answer that.
The answer to the problem is A
One prism with a volume of 2400 might have a rectangular base with a length of 4 and a width of 5, as well as a height of 120.
V = l x w x h
V = 4 x 5 x 120
V = 2400
This prism would essentially look like a really tall rectangle, since the height is such a large number. I wouldn't accurately represent the units on graph paper, if I were you. Just label the sides with the numbers I gave you.
Another prism with a volume of 2400 might be a rectangular prism with a length of 8, a width of 10, and a height of 30.
V = l x w x h
V= 8 x 10 x 30
V = 2400
This would also be a tall rectangle, although it isn't as tall. Keep in mind that l x w x h is only the volume formula for a rectangular prism. I only used rectangular prisms because they would be the easiest for this example. A triangular prism has a different volume formula.
.059, you move the decimal point two times to the left and the other way around when you want to convert into a percent
Answer:
Step-by-step explanation:
6y+4-3y=-5+y+17
6y-3y-y= -5+17-4
2y=8
y=4
