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3 years ago

Two thirds of a number reduced by 11 is equal to 4 more than the number. Find the number.

1 answer:

6 0

Assume that the number is x:

2/3 of x take off 11 = 4x

Transform into numerical / algebraic form:

2/3 * x - 11 = 4x

Next multiply both sides by 3 to get rid of the fraction:

2 * x - 33 = 12x

Simplify:

2x - 33 = 12x

Isolate 2x by adding 33 to both sides:

2x = 12x + 33

Isolate 33 by taking 12x off both sides:

-10x = 33

Divide both sides by -10 to get the value of x:

x = 33/-10 (or x = -3.3)

Therefore the number is -3.3

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2 years ago

Let ∠X and ∠Y be complementary. If sin(X) =

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<h3>Answer:</h3>

sin(Y) = 4/5

<h3>Step-by-step explanation:</h3>

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3 years ago

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Savatey [412]

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3 years ago

Read 2 more answers

Find the interest on a loan of $9,000 for five months with a rate of 11%

Margaret [11]

Answer:

Step-by-step explanation:

total interest payed - $249.00

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5 0

3 years ago

Can someone get this? Ive been trying and cant get it

Dmitry [639]

Given :-

The roots of the function are 5 and -3 .

To Find :-

The Quadratic function .

Answer :-

The roots of the function are 5 and -3 . In general we can write the Quadratic function with roots π and ∆ as ,

$\sf\longrightarrow$ f(x) = ( x - π )(x-∆)

So on using this we have ,

$\sf\longrightarrow$ f(x) = ( x -5)( x -(-3))

$\sf\longrightarrow$ f(x) = (x-5)(x+3)

$\sf\longrightarrow$ f(x) = x(x-5)+3(x-5)

$\sf\longrightarrow$ f(x) = x² -5x +3x -15

$\sf\longrightarrow$ f(x) = x² -2x -15

Hence the required answer is x² -2x -15.

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2 years ago