Answer:
Your answer would be
X^2-7
Step-by-step explanation:
Hope it helps .
Good luck .
Answer:
$466.62
Step-by-step explanation:
Balance = $175 - $24.39 - $65.21 + $381.22
Use your calculator to add or subtract each new term as indicated:
$175 - $24.39 = $150.61
Next, subtract $65.21: $150.61 - $65.21 = $85.40
Finally, add $381.22: $85.40 + $381.22 = $466.62
on November 27 the new balance in rob's account became $466.62.
is a solution of the given differential equation. y' + 9y = 0
The time at which both the faucets drip at the same time is 36 seconds
What is Least Common Multiple?
Least Common Multiple (LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers
Given data ,
Let the time at which both faucet drips at the same time be = T
Let the first faucet be represented as = A
Let the second faucet be represented as = B
Now , the time at which the faucet A drips = 4 seconds
And , the time at which the faucet B drips = 9 seconds
So , the equation is given as
The time at which both faucets A and B drips at the same time = Least Common Multiple of both the times of faucet A and faucet B
Substituting the values in the equation , we get
The time at which both faucets A and B drips at the same time = Least common multiple of 4 and 9
Multiples of 4 = 4 , 8 , 12 , 16 , 20 , 24 , 28 , 32 , 36 , 40 ...
Multiples of 9 = 9 , 18 , 27 , 36 , 45 , 54 , 63 , 72 ...
So , 36 is the least common multiple of 4 and 9
Therefore , the value of T is 36 seconds
Hence ,
The time at which both the faucets drip at the same time is 36 seconds
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Answer:
-5
Step-by-step explanation:
To find the number, let's break down the problem step by step.
First, let's assign a variable to represent the unknown number. Let's call it "x."
According to the problem, "four less than the sum of a number and 7" can be written as "(x + 7) - 4."
Next, the problem states that this expression is "eight more than twice that number." So, we can write this as "2x + 8."
Now, we can set up an equation based on the information given:
(x + 7) - 4 = 2x + 8
Let's solve this equation to find the value of x.
First, let's simplify the left side of the equation:
x + 7 - 4 = 2x + 8
x + 3 = 2x + 8
Next, let's isolate the variable by subtracting x from both sides:
x - x + 3 = 2x - x + 8
3 = x + 8
To isolate x, we need to get rid of the 8 by subtracting it from both sides:
3 - 8 = x + 8 - 8
-5 = x
Therefore, the number is -5.
To check our answer, let's substitute -5 into the original equation and see if it holds true:
( -5 + 7) - 4 = 2(-5) + 8
2 - 4 = -10 + 8
-2 = -2
The equation holds true, which confirms that the number is indeed -5.