Is the equation 134−3=14 true or false? Enter 1 if the statement is true. Enter 2 if the statement is false.(1 point).

Answer 1

The equation \( 134 - 3 = 14 \) is false.

Calculating the left side:

\( 134 - 3 = 131 \)

Since \( 131 \neq 14 \), the statement is false.

Therefore, the answer is 2.

Answer 2

wrong

Answer 3

Apologies for any confusion. Let's evaluate it again:

The equation is \( 134 - 3 = 14 \).

If we calculate \( 134 - 3 \):

\[ 134 - 3 = 131 \]

Since \( 131 \neq 14 \), it means the equation is indeed false.

So the correct response is 2 (false). If you believe there was another aspect I misunderstood, please let me know!

Answer 4

Consider the following expressions:

−34+6⋅216−−√
−
34
+
6
⋅
2
16
_____ 4(2+6)÷2−6
4
(
2
+
6
)
÷
2
−
6
.

Which operator ( >
>
, <
<
, or =) should be inserted into the blank space to make the statement true?​

(1 point)

Answer 5

Let's calculate each expression step by step.

Expression 1: \(-34 + 6 \cdot \sqrt{216}\)

1. Calculate \(\sqrt{216}\): \[ \sqrt{216} = \sqrt{36 \cdot 6} = 6\sqrt{6} \approx 14.7 \]

2. Now calculate \(6 \cdot \sqrt{216}\): \[ 6 \cdot 14.7 \approx 88.2 \]

3. Finally, calculate \(-34 + 88.2\): \[ -34 + 88.2 = 54.2 \]

So, Expression 1 evaluates to approximately \(54.2\).

---

Expression 2: \(4(2 + 6) \div 2 - 6\)

1. Calculate the expression inside the parentheses: \[ 2 + 6 = 8 \]

2. Now calculate \(4 \cdot 8\): \[ 4 \cdot 8 = 32 \]

3. Now divide by 2: \[ 32 \div 2 = 16 \]

4. Finally, calculate \(16 - 6\): \[ 16 - 6 = 10 \]

So, Expression 2 evaluates to \(10\).

---

Now we compare the two results:

• Expression 1: \(54.2\)
• Expression 2: \(10\)

We need to compare \(54.2\) and \(10\):

\[ 54.2 > 10 \]

Thus, the operator that should be inserted into the blank space is \(>\).

Answer 6

Consider this inequality: 5b−2>13
5
𝑏
−
2
>
13
. Does the value of 3.5 for b make the inequality a true statement?

Enter 1 if the answer is yes. Enter 2 if the answer is no.

(1 point)

Answer 7

To determine if \( b = 3.5 \) makes the inequality \( 5b - 2 > 13 \) true, we can substitute \( 3.5 \) for \( b \) and check the inequality.

1. Substitute \( b = 3.5 \) into the inequality:

\[ 5(3.5) - 2 > 13 \]

2. Calculate \( 5(3.5) \):

\[ 5 \cdot 3.5 = 17.5 \]

3. Now substitute back into the inequality:

\[ 17.5 - 2 > 13 \]

4. Calculate \( 17.5 - 2 \):

\[ 17.5 - 2 = 15.5 \]

5. Now check if \( 15.5 > 13 \):

\[ 15.5 > 13 \quad \text{(True)} \]

Since the inequality holds true, we conclude that the value \( 3.5 \) for \( b \) does make the inequality a true statement.

The answer is 1 (yes).

Answer 8

Which value of x makes the equation x−−√+2=7
𝑥
+
2
=
7
true: 20, 25, or 30?(1 point)
x=
𝑥
=

Answer 9

To find the value of \( x \) that makes the equation \( \sqrt{x} + 2 = 7 \) true, we can solve the equation step by step.

1. First, isolate the square root:

\[ \sqrt{x} = 7 - 2 \] \[ \sqrt{x} = 5 \]

2. Now square both sides to eliminate the square root:

\[ x = 5^2 \] \[ x = 25 \]

Now, let's check the options provided (20, 25, or 30):

• For \( x = 20 \): \[ \sqrt{20} + 2 \neq 7 \]

• For \( x = 25 \): \[ \sqrt{25} + 2 = 5 + 2 = 7 \quad \text{(True)} \]

• For \( x = 30 \): \[ \sqrt{30} + 2 \neq 7 \]

So, the value of \( x \) that makes the equation true is \( \boxed{25} \).

Answer 10

Consider the equation 2z−2−−−−−√=5
2
𝑧
−
2
=
5
. Which of the following values for z makes the equation true: 11.5, 12.5, or 13.5?(1 point)
The value of z that makes the equation true is .

Answer 11

To solve the equation \( \sqrt{2z - 2} = 5 \), we will isolate \( z \) step by step.

1. Square both sides of the equation to eliminate the square root: \[ 2z - 2 = 5^2 \] \[ 2z - 2 = 25 \]

2. Next, add 2 to both sides: \[ 2z = 25 + 2 \] \[ 2z = 27 \]

3. Now, divide both sides by 2: \[ z = \frac{27}{2} = 13.5 \]

Now we check the given options: 11.5, 12.5, or 13.5.

The value of \( z \) that makes the equation true is \( \boxed{13.5} \).