Math / Algebra

QuestionSelect all the equations that have a solution of 36.
A) $11g = 396$
B) $\frac{h}{12} = 3$
C) $-210 = -6j$
D) $\frac{k}{2} = -18$
E) $-9 = \frac{m}{-4}$

Studdy Solution

STEP 1

What is this asking? Which of these equations are true when we plug in $36$ for the variable? Watch out! Don't mix up multiplication and division!
And be super careful with those negative signs; they can be sneaky!

STEP 2

1. Check equation A
2. Check equation B
3. Check equation C
4. Check equation D
5. Check equation E

STEP 3

We're given $11g = 396$ .
Let's substitute $g = 36$ and see if it works! $11 \cdot 36$ .
Let's multiply: $11 \cdot 36 = 396$ .
Boom! This equation does have a solution of $36$ .

STEP 4

We have $\frac{h}{12} = 3$ . Substitute $h = 36$ : $\frac{36}{12} = 3$ .
Dividing $36$ by $12$ gives us $3$ , so $\frac{36}{12}$ does equal $3$ .
This equation also has a solution of $36$ !

STEP 5

The equation is $-210 = -6j$ .
Let's substitute $j = 36$ : $-210 = -6 \cdot 36$ .
Now, $-6 \cdot 36 = -216$ .
Uh oh! $-210$ does not equal $-216$ .
So, this equation does not have a solution of $36$ .

STEP 6

We're given $\frac{k}{2} = -18$ . Substitute $k = 36$ : $\frac{36}{2} = -18$ . $36$ divided by $2$ is $18$ , which is not equal to $-18$ .
So, this one's a no-go.

STEP 7

We have $-9 = \frac{m}{-4}$ . Substitute $m = 36$ : $-9 = \frac{36}{-4}$ . $36$ divided by $-4$ gives us $-9$ .
Yes! $-9$ does equal $-9$ .
So, this equation has a solution of $36$ .

STEP 8

Equations A, B, and E have a solution of $36$ .

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QuestionSelect all the equations that have a solution of 36.
A) $11g = 396$
B) $\frac{h}{12} = 3$
C) $-210 = -6j$
D) $\frac{k}{2} = -18$
E) $-9 = \frac{m}{-4}$

Studdy Solution

STEP 1

What is this asking? Which of these equations are true when we plug in $36$ for the variable? Watch out! Don't mix up multiplication and division!
And be super careful with those negative signs; they can be sneaky!

STEP 2

1. Check equation A
2. Check equation B
3. Check equation C
4. Check equation D
5. Check equation E

STEP 3

We're given $11g = 396$ .
Let's substitute $g = 36$ and see if it works! $11 \cdot 36$ .
Let's multiply: $11 \cdot 36 = 396$ .
Boom! This equation does have a solution of $36$ .

STEP 4

We have $\frac{h}{12} = 3$ . Substitute $h = 36$ : $\frac{36}{12} = 3$ .
Dividing $36$ by $12$ gives us $3$ , so $\frac{36}{12}$ does equal $3$ .
This equation also has a solution of $36$ !

STEP 5

The equation is $-210 = -6j$ .
Let's substitute $j = 36$ : $-210 = -6 \cdot 36$ .
Now, $-6 \cdot 36 = -216$ .
Uh oh! $-210$ does not equal $-216$ .
So, this equation does not have a solution of $36$ .

STEP 6

We're given $\frac{k}{2} = -18$ . Substitute $k = 36$ : $\frac{36}{2} = -18$ . $36$ divided by $2$ is $18$ , which is not equal to $-18$ .
So, this one's a no-go.

STEP 7

We have $-9 = \frac{m}{-4}$ . Substitute $m = 36$ : $-9 = \frac{36}{-4}$ . $36$ divided by $-4$ gives us $-9$ .
Yes! $-9$ does equal $-9$ .
So, this equation has a solution of $36$ .

STEP 8

Equations A, B, and E have a solution of $36$ .

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QuestionSelect all the equations that have a solution of 36.A) 11g=39611g = 39611g=396B) h12=3\frac{h}{12} = 312h​=3C) −210=−6j-210 = -6j−210=−6jD) k2=−18\frac{k}{2} = -182k​=−18E) −9=m−4-9 = \frac{m}{-4}−9=−4m​

Studdy Solution

STEP 1

What is this asking? Which of these equations are true when we plug in 363636 for the variable? Watch out! Don't mix up multiplication and division!And be super careful with those negative signs; they can be sneaky!

STEP 2

1. Check equation A2. Check equation B3. Check equation C4. Check equation D5. Check equation E

STEP 3

We're given 11g=39611g = 39611g=396.Let's **substitute** g=36g = 36g=36 and see if it works! 11⋅3611 \cdot 3611⋅36.Let's multiply: 11⋅36=39611 \cdot 36 = 39611⋅36=396.Boom! This equation *does* have a solution of 363636.

STEP 4

We have h12=3\frac{h}{12} = 312h​=3. **Substitute** h=36h = 36h=36: 3612=3\frac{36}{12} = 31236​=3.Dividing 363636 by 121212 gives us 333, so 3612\frac{36}{12}1236​ *does* equal 333.This equation also has a solution of 363636!

STEP 5

STEP 6

We're given k2=−18\frac{k}{2} = -182k​=−18. **Substitute** k=36k = 36k=36: 362=−18\frac{36}{2} = -18236​=−18. 363636 divided by 222 is 181818, which is *not* equal to −18-18−18.So, this one's a no-go.

STEP 7

We have −9=m−4-9 = \frac{m}{-4}−9=−4m​. **Substitute** m=36m = 36m=36: −9=36−4-9 = \frac{36}{-4}−9=−436​. 363636 divided by −4-4−4 gives us −9-9−9.Yes! −9-9−9 *does* equal −9-9−9.So, this equation has a solution of 363636.

STEP 8

Equations A, B, and E have a solution of 363636.

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSelect all the equations that have a solution of 36.
A) $11g = 396$
B) $\frac{h}{12} = 3$
C) $-210 = -6j$
D) $\frac{k}{2} = -18$
E) $-9 = \frac{m}{-4}$

What is this asking? Which of these equations are true when we plug in $36$ for the variable? Watch out! Don't mix up multiplication and division!
And be super careful with those negative signs; they can be sneaky!

1. Check equation A
2. Check equation B
3. Check equation C
4. Check equation D
5. Check equation E

We're given $11g = 396$ .
Let's substitute $g = 36$ and see if it works! $11 \cdot 36$ .
Let's multiply: $11 \cdot 36 = 396$ .
Boom! This equation does have a solution of $36$ .

We have $\frac{h}{12} = 3$ . Substitute $h = 36$ : $\frac{36}{12} = 3$ .
Dividing $36$ by $12$ gives us $3$ , so $\frac{36}{12}$ does equal $3$ .
This equation also has a solution of $36$ !

We're given $\frac{k}{2} = -18$ . Substitute $k = 36$ : $\frac{36}{2} = -18$ . $36$ divided by $2$ is $18$ , which is not equal to $-18$ .
So, this one's a no-go.

We have $-9 = \frac{m}{-4}$ . Substitute $m = 36$ : $-9 = \frac{36}{-4}$ . $36$ divided by $-4$ gives us $-9$ .
Yes! $-9$ does equal $-9$ .
So, this equation has a solution of $36$ .

Equations A, B, and E have a solution of $36$ .