28 divided by 23.8 equals
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A baseball player hits a ball 360 feet to the outfield. It takes the ball 4 seconds to travel this distance. How many feet does the ball travel in 1 second?
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The length of the edge of the given cube that has a lateral area of 36 square inches is: 3 inches.
What is the Lateral Area of a Cube?
Lateral area of a cube = 4a², wherea is the length of each edge of the cube.
Given the parameters:
- Lateral area = 36 square inches
- Length of each edge = a = ?
4a² = 36
a² = 36/4
a² = 9
a = 3 inches.
Length of each edge of the cube = 3 inches.
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36 = L^2
L = sqrt(36) = 6
The volume of a cube is edge length cubed:
V = L^3 = 216 cubic inches
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The factors of the trinomial are .
What is a trinomial?
A trinomial is an algebraic expression that has three non-zero terms. If three monomials are separated by addition or subtraction, then it is a trinomial.
For the given situation,
The trinomial is 12x^2-11x-36.
The given trinomial is a quadratic equation.
The quadratic equation can be factored as
⇒
⇒
⇒
⇒
Hence we can conclude that the factors of the trinomial are .
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Step-by-step explanation:
12x2 - 11x - 36
12x2 - 27x + 16x - 36
3x (4x - 9) + 4(4x - 9)
(4x - 9) and (3x + 4) are the factors
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Answer:
290n + 120 ≤ 1400
4 days
Step-by-step explanation:
Given that:
Vacation budget = $1400
Cost on hotel = $110 per night
Cost on food = $80 per day
Cost on activities = $100 per day
Cost on gas = $120 for entire trip
Number of nights they can afford to stay
Let the Number of nights they can afford = n
((110 + 80 + 100) * number of nights) + 120 ≤ vacation budget
290n + 120 ≤ 1400
290n ≤ 1400 - 120
290n ≤ 1280
n ≤ 1280 / 290
n ≤ 4.4137
Hence, longest vacation they can take is 4 days
Final answer:
The family can afford up to 4 nights for their vacation, as per the inequality 290n + 120 ≤ 1400, where 'n' stands for the number of nights.
Explanation:
Let's first define the total expenses per day as the sum of the hotel costs ($110), food costs ($80), and the daily amount for activities ($100). This adds up to $290 per day. So for 'n' nights, the family will be spending $290n. In addition, there's a $120 onetime expense for gasoline. Hence, the inequality representing their spending will be: 290n + 120 ≤ 1400.
To find the longest vacation this family can afford, we simply need to solve this inequality. Pay attention as we do this: 290n ≤ 1280 (subtracting 120 from both sides), and then n ≤ 4.41 (dividing both sides by 290).
Since the number of nights 'n' should be a whole number, the family can afford up to 4 nights on their vacation.
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5 more add one more
4 or less let it rest
y>=5x-9
3x+y<=15
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y ≥ 5x - 9
3x + y ≤ 15
3(-3) + (5x - 9) ≤ 15
-9 + (5x - 9) ≤ 15
(-9 - 9) + 5x ≤ 15
-18 + 5x ≤ 15
+ 18 + 18
5x ≤ 33
5 5
x ≤ 6.6
y ≤ 5(6.6) - 9
y ≤ 33 - 9
y ≤ 24
(x, y) ≤ (6.6, 24)
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Step-by-step explanation:
Each molecule has ONE hydrogen atom
so FIVE molecules would have FIVE hydrogen atoms