Answer:
The least she could of spent would be $41
Step-by-step explanation:
The two consecutive integers can be represented by x and x+1.
x+(x+1)=71
Combine like terms
2x+1=71
Subtract 1 from both sides
2x=70
Divide both sides by 2
x=35
Final answer: 35, 36
Answer: the cost of the car is $54600
Step-by-step explanation:
Let x represent the cost of the car.
She pays a deposit equal to 20% of the cost of the car. This means that the amount of money that she paid as deposit would be
20/100 × x = 0.2 × x = 0.2x
The remaining balance would be
x - 0.2x = 0.8x
She will pay the balance in 8 equal payments of $5460 each month. This means that
0.8x/8 = 5460
0.1x = 5460
Dividing the left hand side and the right hand side of the equation by 0.1, it becomes
0.1x/0.1 = 5460/0.1
x = 54600
<span><span><span><span><span><span><span><span><span><span><span><span>(</span></span><span><span><span><span><span><span>1</span></span><span><span>⋅</span></span><span><span>3</span></span></span><span><span>+</span></span><span><span><span>1</span></span><span><span><span>(</span></span><span><span><span><span>5</span></span><span><span>i</span></span></span></span><span><span>)</span></span></span></span></span><span><span><span><span><span>−</span></span><span><span>2</span></span></span><span><span>i</span></span></span><span><span><span>(</span></span><span><span><span><span>3</span></span><span><span>+</span></span><span><span><span>5</span></span><span><span>i</span></span></span></span></span><span><span>)</span></span></span></span></span></span><span><span>)</span></span></span><span><span><span>(</span></span><span><span><span><span>3</span></span><span><span><span>−</span></span><span><span>i</span></span></span></span></span><span><span>)</span></span></span></span></span></span><span><span><span><span>5</span></span></span></span><span /></span><span /></span></span></span></span></span><span>1⋅3+15i-2i3+5i3-i5</span>
Answer:
Here we can use the relationship:
Distance = time*speed.
When Jose walks, his speed is 4 mph.
Then if he walks for X hours, the distance that he will travel is:
D = 4mph*X
When Jose runs, his speed is 8mph.
Then if he runs for T hours, the distance that he will travel is:
D´ = 8mph*Y
And we know that he travels in total 20 miles, then we must have that:
D + D´= 20mi
This leads to:
4mph*X + 8mph*Y = 20mi
Where X is the time that he walked, and Y is the time that he runed.
Then the equation that represents the different amounts of times that Jose runs and walks is:
4mph*X + 8mph*Y = 20mi
Where we can not really find the solutions for Y and X, because there is only one equation and two variables.