Answer:
12
Step-by-step explanation:
To solve the problem, you have to leave the x alone,
To do so, you have to add 84 on each side
12x = 4x + 96
Then, subtract 4x on each side,
8x = 96
Then divide each side by 8, so
x = 12
Hope it helps!!
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Answer:
x = 12
Step-by-step explanation:
12x - 84 = 4x + 12
We want to move x to one side and all other values to the other side of the equal sign
Add 84 to both sides of the equation
12x - 84 + 84 = 4x + 12 + 84
Simplify
12x = 4x + 96
Subtract 4x from both sides
12x - 4x = 4x - 4x + 96
Simplify
8x = 96
Divide both sides by 8
8x /8 = 96/8
Simplify
x = 12
The required two consecutive integers are 61 and 62, whose sum is 123.
A number system is defined as a way to represent numbers on the number line using a set of symbols and approaches. These symbols, which are known as digits, are numbered 0 through 9.
To find two consecutive integers whose sum is 123, we can start by letting the smaller integer be "x." The larger integer will be "x+1," since they are consecutive.
We can then set up the equation "x + (x+1) = 123" to represent the sum of the two integers.
Solving for x, we get:
2x + 1 = 123
2x = 122
x = 61
Therefore, the two consecutive integers are 61 and 62.
Learn more about the number system here:
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Answer:2/15
Step-by-step explanation:
Answer:
-102
Step-by-step explanation:
2x3=6
6+7 = 13
13x2=26
26-4=22
2x2=4
4+4=8
8x-10=-80
-80 - 22 = -102
Hope this helps
To subtract the given expressions, first, simplify each expression separately by combining like terms. Then subtract the second expression from the first expression by distributing a negative sign and adding it to the first expression.
To subtract the given expressions, (2x^3+7x^2-4) - (2x^2+4x-10), we need to simplify each expression separately and then subtract them. First, combine like terms within each expression. Then, subtract the terms of the second expression from the first expression. This can be done by distributing a negative sign to each term in the second expression and then adding it to the first expression.
So, (2x^3+7x^2-4) - (2x^2+4x-10) = 2x^3+7x^2-4 - 2x^2-4x+10.
Combining like terms, we get 2x^3+(7x^2-2x^2)+(-4-4x)+(10). Simplifying further, we have 2x^3 + 5x^2 - 4x + 6. Therefore, the result of the subtraction is 2x^3 + 5x^2 - 4x + 6.
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Answer: 19 ft
Step-by-step explanation:
Hi, we have to apply the Pythagorean Theorem, since the tree and the ladder form a right triangle. (see attachment)
Hypotenuse squared = side squared + side squared.
Hypotenuse of a right triangle is the longest side.
Replacing with the values given:
x^2 = 18^2 + 6 ^2
Where x is the length of the ladder.( because is the longest side)
Solving for x:
√(18^2 + 6 ^2)= x
19 ft