When solving negative one over five (x − 25) = 7, what is the correct sequence of operations?

Mathematics

2 answers:

klasskru [66]3 years ago

5 0

Multiply each side by -5, then add 25 to each side.

Mashutka [201]3 years ago

4 0

Answer: Multiply each side by −5, add 25 to each side

Step-by-step explanation:

Given expression: $\frac{-1}{5}(x-25)=7$

According to the BODMAS (bracket, of, divide, multiply, add, subtract), to solve for x, we need to first multiply -5 on both sides, we get

$x-25=7\times-5\\\Rightarrow x-25=-35$

Now, add 25 on both sides, we get

$x-25+25=7+25\\\Rightarrow\ x=32$

Hence, the correct sequence of operations is "Multiply each side by −5, add 25 to each side".

You might be interested in

How to solve a quadratic equation when c=0

kherson [118]

Lets say we have a quadratic equation:

3x^2 + x + 0 = 0

Now, since if we add or subtract 0 from something, the original value stays the same, which means we can write the equation as 3x^2 + x = 0 and ignore the “+0”.

In these kinds of equations, you /can/ use the quadratic formula, but theres a much quicker way. If we factor 3x^2 + x, we get x(3x + 1) = 0. Here, x has two possible values — since the result of the multiplication is 0, that means that either one expression or the other must equal 0. In essence:

If x(3x+1) = 0 then x = 0 or 3x+1 = 0
One of the solutions is that x = 0. Lets find the other.

3x+1=0
3x= -1
x = -1/3

So x1 = 0 and x2 = -1/3. So basically you solve these equations using basic factorization. :)

6 0

3 years ago

Hi . I need help with the question below and the one in the picture.

Oliga [24]

Answer:

1) N5.00

2) N1.50

Step-by-step explanation:

1) 1/2+1/4+1/5=10/20+5/20+4/20=19/20=95%

That means the 4th girl received 5%.

25 is 5% of 500

500 Kobo is N5.00