Factorise fully 7g

The price of a television was reduced from 250 to 200. by what percentage was the price of the television reduced

Murljashka [212]

Answer:

20%

Step-by-step explanation:

We can start by finding out how much the price of the television was reduced by.

250 - 200 = 50

Now, we need to know what percent of 250 is 50? Let x represent the percent of 250 that is 50. Using this, we can set up an equation:

$x\%\times 250=50$

Notice that a percentage can also be written as that number over 100.

$\frac{x}{100}\times250=50$

$\frac{250x}{100}=50$

Reduce the fraction (250 and 100 have a common factor of 10)

$\frac{25x}{10}=50$

Reduce the fraction again (25 and 10 have a common factor of 5)

$\frac{5x}{2}=50$

Multiply both sides by two

$5x=100$

Divide both sides by 5

$x=20$

Therefore the price of the television was reduced by 20%.

4 0

2 years ago

Solve 2cos x+2cos 2x=0 on the interval [0,2pi)

rjkz [21]

$2cosx+2cos2x=0 \\ -2sin^2x+2cos^2x+2cosx=0 \\ -2(1-cos^2x)+2cos^2x+2cosx=0 \\ -2+2cos^2x+2cos^2x+2cosx=0 \\ 4cos^2x+2cosx-2=0 \\ t=cos x \\ 4t^2+2t-2=0 \\ \Delta=4+32=36 \\ t_1= \frac{-2-6}{8}=-1 \\ t_2= \frac{-2+6}{8}= \frac{1}{2} \\ cos x=-1 \lor cos x= \frac{1}{2} \\ x=-\pi \lor x= \frac{5\pi}{3}$

6 0

3 years ago

Read 2 more answers

I WILL GIVE BRAINLIEST+20 POINTS FOR THE CORRECT ANSWER!!!

faust18 [17]

Answer: The correct answer will be C. (Since the last comment got deleted smh)

3 0

3 years ago

In the expression -5g12 whIn the expression -5g12 which part is the coefficient?ich part is the base?

kiruha [24]

Answer:

The coefficient is -5, and the base is 12.

Step-by-step explanation:

The coefficient is the number that the variable is being multiplied by in an expression, so -5 would be the coefficient in the expression $-5g_{12}$ . The base would be the little subscript number that is next to the variable, so the base in the expression $-5g_{12}$ is 12.

6 0

3 years ago

Jeanne babysits for $6 per hour. She also works as a reading tutor for $10 per hour. She is only allowed to work 20 hours per we

Ksenya-84 [330]

Part a) Use a system of inequalities to model the scenario

Let

x-------> represent babysitting hours

y-------> represent tutoring hours

we know that

$x+y \leq20$ --------> inequality $1$

$6x+10y \geq 75$ --------> inequality $2$

Part b) Use the model created in part A to create a graph representing Jeanne’s probable income earned and possible number of hours worked this week

we know that

$x+y \leq20$ --------> inequality $1$

This inequality represent Jeanne’s possible number of hours worked this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N $1$

$6x+10y \geq 75$ --------> inequality $2$

This inequality represent Jeanne’s probable income earned this week

Using a graph tool

the solution of this inequality is the shaded area

see the attached figure N $2$

Part c) Analyze the set of coordinate values that represent solutions for the model created in part A. Choose one of the coordinates within the solution and algebraically prove that the coordinate represents a true solution for the model

we have the system of inequalities

$x+y \leq20$ --------> inequality $1$

$6x+10y \geq 75$ --------> inequality $2$

the solution of the system of inequalities is the shaded area

using a graph tool

see the attached figure N $3$