The addition property of equality. It says that if you add the same number to each side of the equation, the two sides of the equation will be equal. In this case, the number 8 was added to each side.

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3 0

3 years ago

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Find two consecutive even numbers such that the difference of one-half the larger and two-fifths the smaller is equal to 38

expeople1 [14]

EXPLANATION

The consecutive even numbers are
$370 \: and \: 372$

EXPLANATION

Let
$x$
be the first even number then, the next even number will be,

$x + 2$

The difference of one-half the larger one and two-fifth the smaller one is 38 gives the equation,

$\frac{1}{2} (x + 2) - \frac{2}{5} x = 38$

We multiply through with an LCM of 10 to get,

$10 \times \frac{1}{2} (x + 2) - 10 \times \frac{2}{5} x = 38 \times 10$

This simplifies to,

$5(x + 2) - 4x = 380$

We expand the brackets to get,

$5x + 10 - 4x = 380$

We group like terms to get,

$5x - 4x = 380 - 10$

This simplifies to
$x = 370$

Therefore the next even number is is
$372$

6 0

3 years ago

Bella bought packs of stickers to give to her friends. Each pack cost $4. She spent a total of

Shalnov [3]

Answer:

8 packs

Step-by-step explanation:

$4 = 1 pack

$32 = ?

$32 = $32/$4

$32 = 8 packs

4 0

3 years ago