Answer:
Chucks spent 8 minutes running and 15 minutes swimming
Step-by-step explanation:
Here, we want to know the amount of time Chuck spends on individual activities.
since the total time spent for the burning is 23 minutes;
then ;
r + w = 23 ••••••••(i)
Now, the number of calories burnt to running for r minutes will be r * 35 = 35w calories
The number of calories burnt to swimming for w minutes will be w * 30 = 30w calories
The addition of both gives the total calories burnt;
Hence;
35r + 30w = 730 ••••••••(ii)
So we have two equations to solve simultaneously ;
From i; r = 23-w
Substitute this into ii
35(23-w) + 30w = 730
805 -35w + 30w = 730
35w -30w = 805-730
5w = 75
w = 75/5
w = 15 minutes
but r = 23 - w
r = 23 -15
r = 8 minutes
Remember to follow PEMDAS, and left -> right rule.
First, solve the Parenthesis:
(4 + 2^3)
Solve the exponent.
2^3 = 2 x 2 x 2 = 4 x 2 = 8
4 + 8 = 12
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(5^2) x (12)
5^2 = 5 x 5 = 25
25 x 12
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Multiply
25 x 12 = 300
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300 is your answer
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<em>~Rise Above the Ordinary</em>
Answer:
x = 1 and y = 2
Step-by-step explanation:
Let apples are represented by x
and let oranges are represented by y
You purchase 5 pounds of apples and 2 pounds of oranges for $9. This line in equation format can be written as:
5x + 2y = 9
Your friend purchases 5 pounds of apples and 6 pounds of oranges for $17.
This line in equation format can be written as:
5x + 6y = 17
Now we have two equations:
5x + 2y = 9 -> eq (i)
5x + 6y = 17 -> eq(ii)
We can solve these equations to find the value of x and y.
Subtracting eq(i) from eq(ii)
5x + 6y = 17
5x + 2y = 9
- - -
_________
0+4y= 8
=> 4y = 8
y= 8/4
y = 2
Now, putting value of y in eq (i)
5x + 2y = 9
5x +2(2) = 9
5x +4 = 9
5x = 9-4
5x = 5
x = 1
so, x = 1 and y = 2
