Answer:
Step-by-step explanation:
To navigate through this problem, start by finding how much each senator can complete in a fixed amount of time. I'll choose 10 as it's the greatest common factor of 30 and 50.
In 10 minutes, the junior senator can complete 
of the labyrinth.
In 10 minutes, the senior senator can complete 
of the labyrinth.
Therefore, working together, they can complete 
of the labyrinth in 10 minutes. Thus, it will take them 
to complete one labyrinth.
The amount of time it take them to complete 12 labyrinths is then 
Answer:
$18500 at 6% and $28500 at 8%
Step-by-step explanation:
Let x represent the amount invested at 6%. Then x+10000 is the amount invested at 8%. The total income from the two investments is the sum of the products of the amount invested and the interest rate:
x·6% +(x+10000)·8% = 3390
0.14x + 800 = 3390 . . . . . . . . collect terms
0.14x = 2590 . . . . . . . . . . . . . .subtract 800
2590/0.14 = x = 18500 . . . . . divide by the coefficient of x
Sue has invested $18500 at 6% and $28500 at 8%.
Answer:
The number of pennies owned is 7 pennies
Step-by-step explanation:
The given parameters are;
The number of pennies left over when we break the pennies into groups of 2s = 1 penny
The number of pennies left over when we break the pennies into groups of 3s = 1 penny
Let the number of pennies owned = c
What we are given are as follows;
2 × a = c - 1
3 × b = c - 1
2 × a = 3 × b
a/b = 3/2
Therefore, if we multiply 2 by 3, and 3 by 2 we get 6
2 × 3 = 6, similarly 3 × 2 = 6
If we put 6 = c - 1, we get;
c = 6 + 1 = 7
c = 7
The number of pennies owned = 7 pennies.
Answer:
8 ft
Step-by-step explanation:
Answer:
567 square yards
Step-by-step explanation:
The Area for 1 Triangular playground = 1/2 × Base × Height
The base of the triangle is 18 yards. The height of the triangle is 21 yards.
Hence:
= 1/2 × 18 yards × 21 yards
= 189 square yards
The area of the Triangular 3 playground is given as:
= 3 × 189 square yards
= 567 square yards
