add:%20%205(0.5k%E2%88%921)+2(0.4%E2%88%92k)%20.%20Answer%20should%20be%20in%20decimal%20form.

7 answers

To solve the expression, we can follow the order of operations (PEMDAS).

First, we'll address the multiplication:
5(0.5k - 1) + 2(0.4 - k)

Multiplying the terms in parentheses:
= 2.5k - 5 + 0.8 - 2k

Now, let's combine like terms:
= (2.5k - 2k) + (0.8 - 5)

Simplifying further:
= 0.5k - 4.2

The answer in decimal form is 0.5k - 4.2.
Subtract 1/2(z+4)−3(1/4z+1). Use fractions in final form.
To solve the expression, we can follow the order of operations (PEMDAS).

First, we'll address the multiplication:
1/2(z+4) - 3(1/4z+1)

Expanding the parentheses:
= 1/2 * z + 1/2 * 4 - 3 * 1/4 * z - 3 * 1

Simplifying further:
= 1/2z + 2/2 - 3/4z - 3

Combining like terms:
= (1/2z - 3/4z) + (2/2 - 3)

Finding a common denominator for the subtraction:
= (2/4z - 3/4z) + (4/2 - 3)

Simplifying further:
= (-1/4z) + (2 - 3)

Combining like terms:
= -1/4z - 1

The final expression in fraction form is -1/4z - 1.
subtract:%20(3b%E2%88%922c)%E2%88%92(6c+2b)%E2%88%92(b+c).(1%20point)
To solve the expression, we can apply the distributive property and combine like terms.

(3b - 2c) - (6c + 2b) - (b + c)

Expanding the parentheses:

= 3b - 2c - 6c - 2b - b - c

Combining like terms:

= (3b - 2b - b) + (-2c - 6c - c)

Simplifying further:

= 0b + (-9c)

= -9c

The final expression is -9c.
What value of z would make the expressions 4x−5y and (3y+2x)−z(4y−x) equivalent?(1 point)
To make the expressions 4x - 5y and (3y + 2x) - z(4y - x) equivalent, we need to equate them and solve for the value of z.

First, let's set up the equation:
4x - 5y = (3y + 2x) - z(4y - x)

Next, let's simplify both sides of the equation:
4x - 5y = 3y + 2x - 4zy + zx

Now, let's combine like terms:
4x - 5y = 2x + 3y - 4zy + zx

We can group the x-terms and y-terms:
(4 - z)x + (3 + 5)y = 0

Now, equating the coefficients of x and y to zero, we have the following equations:
4 - z = 0 ... (1)
3 + 5 = 0 ... (2)

From equation (2), we can determine that the value of y is -3/5.

Now, substituting the value of y in equation (1), we have:
4 - z = 0
4 = z

Therefore, the value of z that would make the expressions equivalent is z = 4.