Answer:
a) 
b) 8
Step-by-step explanation:
a) The MAX is 42 basketballs, so it has to be either less than or equal to 42. each team wants 5 so you would multiply 5 basketballs per team (which is variable t)
b) Once you plug in 10 in replacement of 5 you get the inequality: 
once you figure it out you get 
. 50-42 = 8. Gopal should purchase at least 8 basketballs.
Answer:
Third side of the triangle should be larger than 5.9 km, and smaller than 23.1 km
Step-by-step explanation:
Let's examine the two extreme cases for any possible triangle that has two known sides and one larger than the other one. The attached figure tries to represent those extreme cases.
In the first depicted case, the third side (shown in red) is barely larger than the difference between the known sides (shown in green). So for this case we have that the third side must be > 14.5 km - 8.6 km
that is : third side > 5.9 km
In the opposite case, when we place the two known sides (shown in green) almost opposite to each other, the measure of the third side is almost (but not quite) the addition of the known sides.
Then this third side is < 14,5 km + 8.6 km = 23.1 km
Conclusion:
5.9 km < third side <23.1 km
Area is length * width. Since the area is 44 and the length is 5.5, to find the width, simply divide the area by the length.
44 square feet / 5.5 feet = 8ft width
Step-by-step explanation:
- Simple Interest Formula
- P = Principal Amount. I = Interest Amount. r = Rate of Interest per year in decimal; r = R/100. R = Rate of Interest per year as a percent; R = r * 100.
- Simple interest is an application of percentage. Understanding the concept of simple interest is not only important for you to know how to solve problems in class, but also is a fundamental skill to help you manage your finances. With the basic knowledge on how the concepts work, you get empowered to make good financial decisions. In this article, we are going to learn how to calculate simple interest and the knowledge to solve real life problems. Let’s first start by defining the terms involved in simple interest.
- The principal amount (P)
- The principal is the money borrowed or initial amount of money deposited in a bank. The principal is denoted by a capital letter “P.”
Answer:
-1199
Step-by-step explanation:
To solve this, we must use PEMDAS
1. using this, we see that we must first solve anything having to do with exponents so:
4^2 = 16
2. Then we must solve any multiplication or division (whichever comes first). So in this case:
5 x 243 = 1215
3. We are now left with 16 - 1215 so we simply subtract
16 - 1215 = -1199
