Answer:
450/3
Step-by-step explanation:
I think it's b but i'm not sure!
Hey there!
First, let's look at what perpendicular means. Imagine a cross, where there's all 90 degree angles. That's exactly what we're talking about when we say perpendicular. The given equation is in slope-intercept form, where we have:
y = mx + b
where m is the slope and b is the y-intercept.
When we're writing an equation with a perpendicular slope, we use the negative reciprocal of the given slope. Thus, we can make 0.3 1/3, and take the reciprocal to make 3, and make it negative 3 as it's the negative reciprocal. Now, we know we have a line with the slope of -3 and goes through (-3, 8). We can use the x and y values in this set of points, along with the slope, to create an equation to solve for b. That gives us:
8 = -3(-3) + b
8 = -9 + b
17 = b
Now, since we have slope and y-intercept, we can write our equation as:
y = -3x + 17
Hope this helps!
Answer: 8 servings can be made
Step-by-step explanation:
Concept:
As we can see from the question there are two different units applied [gallons] and [cups]; therefore, we need to do the unit conversion.
<u>1 gallon = 16 cups</u>
Solve:
Given there are 3 gallons of brown stock, we need to convert gallons into cups.
- 1 gallon = 16 cups
- 3 gallons = 16 × 3 = 48 cups
Then, divide 48 cups by 6 cups to find out how many servings can be made.
- 48 cups / 6 cups = 8 servings
Hope this helps!! :)
Please let me know if you have any questions
Answer:
x ≥ 4
General Formulas and Concepts:
<u>Pre-Algebra</u>
Step-by-step explanation:
<u>Step 1: Define inequality</u>
-4(8 - 3x) ≥ 6x - 8
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute -4: -32 + 12x ≥ 6x - 8
- Subtract 6x on both sides: -32 + 6x ≥ -8
- Add 32 on both sides: 6x ≥ 24
- Divide 6 on both sides: x ≥ 4
Here we see that <em>x</em> can be any value greater than or equal to 4.
