Answer:
Step-by-step explanation:
Let L = Lucy, C = Carol and A = Arita , x = Total amount of marbles
Lucy shares 1/3 with Carol and keeps 1/4 for herself.
This means that Carol has 1/3 of the total amount of marbles, Lucy has 1/4 of the total amount of marbles.
C = 1/3x
L = 1/4x
We are also told that Carol has 7 more marbles than Lucy
C = L + 7
Since C = 1/3x and L = 1/4x you can sub these into the above equation and you get:
1/3x = 1/4x + 7
Subtract 1/4x from both sides
1/3x - 1/4x = 7
1/12x = 7
Multiply both sides by 12 to find x.
x = 7 times 12 = 84 (Total amount of marbles = 84)
Amrita gets the remaining number of marbles.
A = x - C - L
A = 84 - 1/3 (84) - 1/4 (84)
A = 35
Answer:
y = 2
x = 5
Step-by-step explanation:
4x + 5y = 10 | ×3 |
3x - 3y = 21 | ×4 |
12x + 15y = 30
12x - 12y = 84
____________--
27y = -54
y = -54/27
y = 2
4x + 5y = 10 | ×3 |
3x - 3y = 21 | ×5 |
12x + 15y = 30
15x - 15y = 105
____________+
27x = 135
x = 135/27
x = 5
9.08+x=25.08
-9.08 -9.08
x=16
3/4x=12
x4/3 x4/3
x=16
4.5x=72
/4.5 /4.5
x=16
Both
Answer:
The numbers 
such that the average value of 
on the interval [0, b] is equal to 8 are 
and 
.
Step-by-step explanation:
The mean value of function within a given interval is given by the following integral:
If , 
, 
and 
, then:
The roots of this polynomial are determined by the Quadratic Formula:
and .
The numbers such that the average value of on the interval [0, b] is equal to 8 are and .
Answer:
t > 3
Step-by-step explanation:
1 hour = 194
582 / 194 = 3
She needs to ride for 3 hours to burn 582 calories
She needs to ride for more than 3 hours to burn more than 582 calories
