Answer:
1. 45 minutes a day cycling
2.$1.55 on each cup of coffee a day
Step-by-step explanation:
1. You would figure up how much he jogs per week by multiplying 15 times 5 which would be 75 minutes and then from there you would subtract 75 from 300 and get 225 and divide 225 and 5 and end up with 45
2. You would multiply $.75 by 4 to figure up how much he spends on donuts which is $3 and then subtract 15.40 from 3 and get 12.40 and divide 12.40 by 8 since he goes twice a day and end up with 1.55
Let, the first number = C
second number will be = C + 2 ['cause next will be odd so we can't include that]
Third number = C + 4
Now, their sum would be:
C + C+2 + C+4 = 3C + 6
In short, Your Answer would be 3C + 6
Hope this helps!
1. The graph is a parabola.
2. The parabola opens up, because there's no negative number in front of .
3. The vertext is (5,-1), because of the vertex form.
This means that that -1 will be the least y-value used on the graph and the garph will open up from there.
The range is (-1, infinity) or { y | y > -1 }.
Answer:
24/25
Step-by-step explanation:
Step 1: Define systems of equation
10x - 16y = 12
5x - 3y = 4
Step 2: Rewrite one of the equations
5x = 4 + 3y
x = 4/5 + 3y/5
Step 3: Solve for <em>y</em> using Substitution
- Substitute 2nd rewritten equation into 1: 10(4/5 + 3y/5) - 16y = 12
- Distribute the 10 to both terms: 40/5 + 30y/5 - 16y = 12
- Simplify the fractions down: 8 + 6y - 16y = 12
- Combine like terms (y): 8 - 10y = 12
- Subtract 8 on both sides: -10y = 4
- Divide both sides by -10: y = 4/-10
- Simply the fraction down: y = -2/5
Step 4: Substitute <em>y</em> back into an original equation to solve for <em>x</em>
- Substitute: 5x - 3(-2/5) = 4
- Multiply: 5x + 6/5 = 4
- Subtract 6/5 on both sides: 5x = 14/5
- Divide both sides by 5: x = 14/25
Step 5: Check to see if solution set (14/25, -2/5) is a solution.
- Substitute into an original equation: 10(14/25) - 16(-2/5) = 12
- Multiply each term: 28/5 + 32/5 = 12
- Add: 12 = 12
Here, we see that x = 14/25, y = -2/5 and solution (14/25, -2/5) indeed works.
Step 6: Find <em>x</em> <em>- y</em>
x = 14/25
y = -2/5
- Substitute: 14/25 - (-2/5)
- Simplify (change signs): 14/25 + 2/5
- Add: 24/25
Hope this helped! :)
Answer:
X = -2 - y/3
Step-by-step explanation:
First you need to know the current equation, for that:
Notice that when Y = 0, X = 2.
When Y = 6, X = 0
Therefore the equation is X =
To move that to the left of the X axis (negative direction) you just have to reduce the X number: