Math / Algebra

QuestionSolve: $4 z-4.4=3.6$ A) $z=0.3$
B $z=-0.3$
C $z=-2$
D $z=2$

Studdy Solution

STEP 1

What is this asking? We need to find the value of $z$ that makes the equation $4z - 4.4 = 3.6$ true! Watch out! Be super careful with those decimal points and positive/negative signs!
One little slip-up, and poof – wrong answer!

STEP 2

1. Isolate the term with $z$ .
2. Solve for $z$ .

STEP 3

We want to get that $z$ all alone on one side of the equation.
First, let's tackle that $-4.4$ .
We can add $4.4$ to both sides of the equation.
Remember, what we do to one side, we must do to the other to keep things balanced.
This is like adding to zero! $4z - 4.4 + 4.4 = 3.6 + 4.4$

STEP 4

Now, simplify! $-4.4 + 4.4$ becomes $0$ , which is exactly what we wanted! $4z = 3.6 + 4.4$ $4z = \textbf{8}$

STEP 5

Now, we have $4z = 8$ .
We want just one $z$ , not four of them!
So, we'll divide both sides by 4.
This is like dividing to one! $\frac{4z}{4} = \frac{8}{4}$

STEP 6

$z = \textbf{2}$ Boom! We found our answer!

STEP 7

The value of $z$ that satisfies the equation is $z = 2$ , which corresponds to answer choice D.

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QuestionSolve: $4 z-4.4=3.6$ A) $z=0.3$
B $z=-0.3$
C $z=-2$
D $z=2$

Studdy Solution

STEP 1

What is this asking? We need to find the value of $z$ that makes the equation $4z - 4.4 = 3.6$ true! Watch out! Be super careful with those decimal points and positive/negative signs!
One little slip-up, and poof – wrong answer!

STEP 2

1. Isolate the term with $z$ .
2. Solve for $z$ .

STEP 3

We want to get that $z$ all alone on one side of the equation.
First, let's tackle that $-4.4$ .
We can add $4.4$ to both sides of the equation.
Remember, what we do to one side, we must do to the other to keep things balanced.
This is like adding to zero! $4z - 4.4 + 4.4 = 3.6 + 4.4$

STEP 4

Now, simplify! $-4.4 + 4.4$ becomes $0$ , which is exactly what we wanted! $4z = 3.6 + 4.4$ $4z = \textbf{8}$

STEP 5

Now, we have $4z = 8$ .
We want just one $z$ , not four of them!
So, we'll divide both sides by 4.
This is like dividing to one! $\frac{4z}{4} = \frac{8}{4}$

STEP 6

$z = \textbf{2}$ Boom! We found our answer!

STEP 7

The value of $z$ that satisfies the equation is $z = 2$ , which corresponds to answer choice D.

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QuestionSolve: 4z−4.4=3.64 z-4.4=3.64z−4.4=3.6 A) z=0.3z=0.3z=0.3B z=−0.3z=-0.3z=−0.3C z=−2z=-2z=−2D z=2z=2z=2

Studdy Solution

STEP 1

What is this asking? We need to find the value of zzz that makes the equation 4z−4.4=3.64z - 4.4 = 3.64z−4.4=3.6 true! Watch out! Be super careful with those decimal points and positive/negative signs!One little slip-up, and *poof* – wrong answer!

STEP 2

1. Isolate the term with zzz.2. Solve for zzz.

STEP 3

STEP 4

Now, simplify! −4.4+4.4-4.4 + 4.4−4.4+4.4 becomes 000, which is exactly what we wanted! 4z=3.6+4.44z = 3.6 + 4.44z=3.6+4.4 4z=84z = \textbf{8}4z=8

STEP 5

Now, we have 4z=84z = 84z=8.We want just one zzz, not four of them!So, we'll divide *both* sides by **4**.This is like dividing to one! 4z4=84 \frac{4z}{4} = \frac{8}{4} 44z​=48​

STEP 6

z=2 z = \textbf{2} z=2 Boom! We found our **answer**!

STEP 7

The value of zzz that satisfies the equation is z=2z = 2z=2, which corresponds to answer choice D.

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QuestionSolve: $4 z-4.4=3.6$ A) $z=0.3$
B $z=-0.3$
C $z=-2$
D $z=2$

What is this asking? We need to find the value of $z$ that makes the equation $4z - 4.4 = 3.6$ true! Watch out! Be super careful with those decimal points and positive/negative signs!
One little slip-up, and poof – wrong answer!

1. Isolate the term with $z$ .
2. Solve for $z$ .

Now, simplify! $-4.4 + 4.4$ becomes $0$ , which is exactly what we wanted! $4z = 3.6 + 4.4$ $4z = \textbf{8}$

Now, we have $4z = 8$ .
We want just one $z$ , not four of them!
So, we'll divide both sides by 4.
This is like dividing to one! $\frac{4z}{4} = \frac{8}{4}$

$z = \textbf{2}$ Boom! We found our answer!

The value of $z$ that satisfies the equation is $z = 2$ , which corresponds to answer choice D.