1. The information given in this problem, is:
- <span>Wayne went on a 4 km hike.
- </span>Wayne took a break at 4/3 km.
- Wayne took a drink of water at 10/3.
2. Then, when you convert the values from fractions to decimals, you have:
4/3 km=1.33 km
10/3 km=3.33 km
3. With this values, you can make the number line and show <span>his starting and finishing place, and the 2 points where he stopped. This is shown in the figure attached.</span>
36 divided by 3/4 will equal how many servings are in the cooler
Answer:
(3,2)
Step-by-step explanation:
the other three ordered pairs do not lie in the shaded region
Density is a property of a material which describes the mass of a material per unit volume. It can be calculated by dividing the mass of the object with its volume. We calculate as follows:
Density = mass / volume = 400 / (8^3) = <span>0.78125 g/cm^3</span>
Answer:
<u>Height = 3 inches and Base length = 7 inches</u>
Step-by-step explanation:
1. Information provided to answer the question correctly:
Base of the triangle = x+ 4
Height of the triangle = x
Area of the triangle = 10.5 inches²
2. Find the base length and height
Let's recall the formula of the area of a triangle:
Area = (Base * Height)/2
Replacing with the values we know:
10.5 = x (x + 4)/2
21 = x² + 4x
x² + 4x - 21 = 0
(x + 7) (x - 3) = 0
(x₁ + 7) = 0 ⇒ x₁ = -7
(x₂ - 3) = 0 ⇒ x₂ = 3
We take x₂ as the answer because x₁ = -7 is not a valid height.
<u>Height = 3 inches and Base length = 7 inches</u>