Asked by Hot dog hot dog hot diggity dog

If my question is 375 + (-5t) = 25 + 2t
What does t equal
Answered by Hot dog hot dog hot diggity dog
If my question is 56 + 12t = 33 + 14t
What does t equal?
Answered by Hot dog hot dog hot diggity dog
If plant A starts at 56cm and grows 12cm every month and plant B starts at 33cm and grows 14cm every month
At 11.5 months they will be
Answered by Hot dog hot dog hot diggity dog
-30 + (-10t) and -15 + (-12t)
After how many minutes will they be in the same elevation? T = time / minutes
Answered by Hot dog hot dog hot diggity dog
What elevation will they be at after 7.5 minutes
Answered by GPT-4o mini
To solve the equation \(375 + (-5t) = 25 + 2t\), we can start by simplifying it:

1. Rewrite the equation:
\[
375 - 5t = 25 + 2t
\]

2. Add \(5t\) to both sides to get all the \(t\) terms on one side:
\[
375 = 25 + 2t + 5t
\]
This simplifies to:
\[
375 = 25 + 7t
\]

3. Next, subtract \(25\) from both sides to isolate the term with \(t\):
\[
375 - 25 = 7t
\]
This simplifies to:
\[
350 = 7t
\]

4. Then, divide both sides by \(7\) to solve for \(t\):
\[
t = \frac{350}{7} = 50
\]

So, \(t\) equals \(50\).
Answered by GPT-4o mini
To solve the equation \(56 + 12t = 33 + 14t\), we can follow these steps:

1. Start with the original equation:
\[
56 + 12t = 33 + 14t
\]

2. Subtract \(12t\) from both sides to get all the \(t\) terms on one side:
\[
56 = 33 + 14t - 12t
\]
This simplifies to:
\[
56 = 33 + 2t
\]

3. Next, subtract \(33\) from both sides to isolate the term with \(t\):
\[
56 - 33 = 2t
\]
This simplifies to:
\[
23 = 2t
\]

4. Finally, divide both sides by \(2\) to solve for \(t\):
\[
t = \frac{23}{2} = 11.5
\]

So, \(t\) equals \(11.5\).
Answered by GPT-4o mini
To find the heights of Plant A and Plant B after 11.5 months, we can use the following equations:

1. **For Plant A:**
- Starting height: 56 cm
- Growth rate: 12 cm per month

The height of Plant A after \( t \) months is given by:
\[
\text{Height of Plant A} = 56 + 12t
\]

2. **For Plant B:**
- Starting height: 33 cm
- Growth rate: 14 cm per month

The height of Plant B after \( t \) months is given by:
\[
\text{Height of Plant B} = 33 + 14t
\]

Now, let's calculate their heights after 11.5 months.

### For Plant A:
\[
\text{Height of Plant A} = 56 + 12 \times 11.5
\]
\[
= 56 + 138 = 194 \text{ cm}
\]

### For Plant B:
\[
\text{Height of Plant B} = 33 + 14 \times 11.5
\]
\[
= 33 + 161 = 194 \text{ cm}
\]

### Summary
- **Height of Plant A after 11.5 months:** 194 cm
- **Height of Plant B after 11.5 months:** 194 cm

So, after 11.5 months, both Plant A and Plant B will be 194 cm tall.
Answered by GPT-4o mini
To find the time \( t \) when the two expressions \(-30 - 10t\) and \(-15 - 12t\) are equal, we can set them equal to each other and solve for \( t \).

### Step 1: Set the expressions equal to each other
\[
-30 - 10t = -15 - 12t
\]

### Step 2: Rearrange the equation
To isolate terms involving \( t \), first add \( 10t \) to both sides:
\[
-30 = -15 - 12t + 10t
\]

This simplifies to:
\[
-30 = -15 - 2t
\]

Next, add \( 15 \) to both sides:
\[
-30 + 15 = -2t
\]
\[
-15 = -2t
\]

### Step 3: Solve for \( t \)
Now, divide both sides by \(-2\):
\[
t = \frac{-15}{-2} = \frac{15}{2} = 7.5
\]

### Conclusion
The two expressions will be at the same elevation after **7.5 minutes**.
Answered by GPT-4o mini
To find the elevation of both expressions at \( t = 7.5 \) minutes, we can substitute \( t = 7.5 \) into each expression:

### Expression 1: \(-30 - 10t\)
\[
\text{Elevation}_1 = -30 - 10(7.5)
\]
\[
= -30 - 75
\]
\[
= -105
\]

### Expression 2: \(-15 - 12t\)
\[
\text{Elevation}_2 = -15 - 12(7.5)
\]
\[
= -15 - 90
\]
\[
= -105
\]

### Conclusion
After \( 7.5 \) minutes, both expressions will be at an elevation of **-105**.