Answer:
The greatest number of games Rosa can buy is 5
Step-by-step explanation:
Let
k ----> the number of games, k, that Rosa can buy with her money
we have
solve for k
subtract 5.50 both sides
divide by 2.50 both sides
therefore
The greatest number of games Rosa can buy is 5
Ans: 720
<span>This is equal to the number of different arrangements of three persons from a group of 10 persons </span>
Required number of ways = 10P3 = 720
OR can be solved in this way
select 3 runners (10C3 ways)
These 3 runners can be arranged in 3! ways
<span>Total = 10C3×3! = 720
</span>
Answer:
Explanation:
<u>1) Calculate the volume of the water in the tank.</u>
- Area of the base of the tank: B = 7 ft × 4 ft = 28 ft²
- Height of the tank: H = 9 in = 9 in × 1 ft / 12 in = 0.75 ft
- Volume of the tank: V = area of the base × height = B × H = 28 ft² × 0.75 ft = 21 ft³.
<u>2) Calculate the weight of 21 ft³ of water.</u>
Since this is not a chemistry question but a math question, I will not use the fomula of density but set a proportion with one unknown:
- 62.4 lb / 1 ft³ = x / 21 ft³
Solve for x:
- x = 21 ft³ × 64 lb / ft³ = 1,310.4 lb.
So, rounding to the next integer, the water in the tank weighs 1,310 pounds, when it is full.
<span>Therefore, the triangles ABD and CDB are congruent by SAS</span>
