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pashok25 [27]
2 years ago
6

60% of a number is 54. what is 50% of the same ?

Mathematics
1 answer:
tangare [24]2 years ago
3 0

Answer:

The answer is 45.

Step-by-step explanation:

60% of a number is 54, find the original number

54 ÷ 60%

= 54 ÷ 60/100

= 54 * 100/60

= 90

50% of 90 is

90 * 50%

= 90 * 50/100

= 90 * 1/2

= 45

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Solve the rational equation. If an equation has no solution, so state.<br>x+6/x=-7​
kupik [55]

Answer:

x=−1 or x=−6

Step-by-step explanation:

Multiply all terms by x and cancel:

xx+6=−7x

x2+6=−7x(Simplify both sides of the equation)

x2+6−−7x=−7x−−7x(Subtract -7x from both sides)

x2+7x+6=0

(x+1)(x+6)=0(Factor left side of equation)

x+1=0 or x+6=0(Set factors equal to 0)

x=−1 or x=−6

Check answers. (Plug them in to make sure they work.)

x=−1(Works in original equation)

x=−6(Works in original equation)

Check out this website where i got my info. <em>https://www.mathpapa.com/algebra-calculator.html</em>

3 0
3 years ago
60 minutes is 20% of<br> minutes.
PilotLPTM [1.2K]

Answer:

60 minutes is 20% of 300 minutes

Step-by-step explanation:

let x be the number of total minutes

60 = 20% of x

20% = 1/5

60 = 1/5x

multiply both sides by 5

300 = x

x = 300 minutes

8 0
3 years ago
(2y + 9)(3y - 1) = 5y2 + 25y - 9
Vikki [24]

Answer:

y1= 0, y2= 5/3

Step-by-step explanation:

Remove the parentheses and multiply

then cancel the equal terms

collect the lie terms

move the variables to one side

divide both sides by two

split into possible cases

then solve the equation to get

y= 0 and

y= 5/3

7 0
2 years ago
Complete the identity
spin [16.1K]

Answer: cos(\pi-x)=-cos(x)

Step-by-step explanation:

We need to apply the following identity:

cos(A - B) = cos A*cos B + sinA*sin B

Then, applying this, you know that for cos(\pi-x):

cos(\pi-x)=cos(\pi)*cos(x)+sin(\pi)*sin(x)

We need to remember that:

cos(\pi)=-1 and sin(\pi)=0

Therefore, we need to substitute these values into cos(\pi-x)=cos(\pi)*cos(x)+sin(\pi)*sin(x).

Then, you get:

cos(\pi-x)=(-1)*cos(x)+0*sin(x)

cos(\pi-x)=-1cos(x)+0

cos(\pi-x)=-cos(x)

8 0
3 years ago
Select the postulate that is illustrated for the real numbers 5+(-5)=0
ozzi

In this question , we have to find the postulate that is illustrated for the real numbers

5+(-5) = 0

The postulate is Additive inverse postulate which states that

a+ (-a) =0

Where a is the real number and -a is the opposite of a. It states that , if opposite of a number is added with the number, the result is 0 .


3 0
3 years ago
Read 2 more answers
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