Solve the equation using the multiplication principle.
-35 = 7k
Solve the equation. clear fraction and decimal first.
2.(y-7)- (y+4)) = 6y
3. -5b - 8 = -5 - 2b - 1b
Problem one: multiply both sides of the equation by 1/7
Problem two: I will be happy to critique yourwork.
Problem three: I will be happy to critique your work. Get the b's to one side. I suggest start by adding 3b to each side, and add eight to both sides.
what is 60% as a fraction ?
Any percent can be stated as a fraction by putting the number over 100. Therefore, 60% = 60/100.
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(-12) + 6 + (-4) + (-10)
Problem one: To solve the equation -35 = 7k using the multiplication principle, we need to isolate the variable "k" on one side of the equation. To do this, we can divide both sides of the equation by 7.
-35 / 7 = 7k / 7
Simplifying, we have:
-5 = k
So the solution to the equation is k = -5.
Problem two: To solve the equation 2(y-7) - (y+4) = 6y, we need to first clear any fractions and decimals. In this equation, there are no fractions or decimals, so we can proceed with simplifying.
Expanding and simplifying the equation, we have:
2y - 14 - y - 4 = 6y
Combining like terms, we get:
y - 18 = 6y
To solve for y, we can subtract y from both sides of the equation:
18 = 5y
Finally, divide both sides of the equation by 5 to solve for y:
y = 18/5
So the solution to the equation is y = 18/5.
Problem three: To solve the equation -5b - 8 = -5 - 2b - 1b, we need to first simplify by combining like terms.
Combining like terms, we have:
-5b - 8 = -5 - 3b
Next, let's isolate the variable "b" on one side of the equation. To do this, we can add 3b to both sides of the equation:
-2b - 8 = -5
Now, let's add 8 to both sides of the equation:
-2b = 3
Finally, divide both sides of the equation by -2 to solve for b:
b = -3/2
So the solution to the equation is b = -3/2.
To solve the equation -35 = 7k using the multiplication principle, you need to isolate the variable k on one side of the equation.
Here's the step-by-step process:
1. Start with the equation: -35 = 7k.
2. Divide both sides of the equation by 7 to undo the multiplication by 7. This is because we want to isolate the k variable.
-35/7 = (7k)/7.
3. Simplify both sides of the equation:
k = -5.
So, the solution to the equation -35 = 7k is k = -5.
Regarding the second equation, 2.(y-7)- (y+4) = 6y, you need to clear the fractions and decimals before solving. However, there are no fractions or decimals in this equation, so you can solve it directly.
To solve it, you need to simplify both sides of the equation by following the order of operations (parentheses, exponents, multiplication and division from left to right, and addition and subtraction from left to right).
Here's the step-by-step process:
1. Distribute the 2 to both terms inside the parentheses:
2y - 14 - (y + 4) = 6y.
2. Simplify the equation by combining like terms:
2y - y - 14 - 4 = 6y.
y - 18 = 6y.
3. Move all the terms involving y to one side of the equation. You can do this by subtracting y from both sides and adding 6y to both sides:
y - y - 18 - 6y = 6y - y - 6y.
-18 - 5y = 0.
4. Simplify further by combining like terms:
-5y - 18 = 0.
5. Move the constant term to the other side of the equation by adding 18 to both sides:
-5y - 18 + 18 = 0 + 18.
-5y = 18.
6. Finally, solve for y by dividing both sides of the equation by -5:
(-5y)/-5 = 18/-5.
y = -18/5.
So, the solution to the equation 2.(y-7) - (y+4) = 6y is y = -18/5.
Regarding the third problem -5b - 8 = -5 - 2b - 1b, you need to simplify and rearrange the equation to isolate the variable b. Here's the step-by-step process:
1. Start with the equation: -5b - 8 = -5 - 2b - 1b.
2. Combine the like terms on both sides of the equation:
-5b - 8 = -5 - 3b.
3. Rearrange the equation by adding 3b to both sides and adding 8 to both sides:
-5b + 3b - 8 + 8 = -5 - 3b + 3b + 8.
-2b = 3.
4. Solve for b by dividing both sides of the equation by -2:
(-2b)/-2 = 3/-2.
b = -3/2.
So, the solution to the equation -5b - 8 = -5 - 2b - 1b is b = -3/2.
Lastly, to represent 60% as a fraction, you need to write it in the form of a fraction where the denominator is 100. Here's the step-by-step process:
1. Write down 60% as a fraction using the numerator 60 and the denominator 100: 60/100.
2. Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 20:
60/100 = (60 ÷ 20)/(100 ÷ 20) = 3/5.
So, 60% is equivalent to the fraction 3/5.