Let the numbers be x and y
x + y = 57 ........(i)
x - y = 13 ........(ii)
Add equations (i) and (ii) to eliminate y
x + y + x - y = 57 + 13
x + x + y - y = 57 +13
2x = 70
x = 70/2 = 35
From (i) x + y = 57
35 + y = 57
y = 57 - 35
y = 22
The numbers are 35 and 22.
<span>(a) Create a chart of values and write an equation to find the total cost, C in terms of the number of days d.
C = 10d + 20
</span><span>(b) Use the equation you created in Part (a) to find the cost of renting a bike for 5 days.
</span>
C = 10d + 20
<span>C = 10(5) + 20= 50 + 20 = 70
$70 for 5 days
</span>
Answer:
Infinite
Step-by-step explanation:
3(4x + 1) - 2
= 12x + 3 - 2 (Multiply the sum in the bracket by 3)
= 12x + 1 (Simplify)
This means that:
12x + 1 = 3(4x + 1) - 2
is the same as
12x + 1 = 12x + 1
Hence, anything that is used to substitute x is correct.
Answer:
3: 101.00
Step-by-step explanation:
This is a trick question. It says that Shelby wants to go with THREE other friends and implies that she is going too. So that means there are 4 people going. Hence, do 25.25*4=101.
Step-by-step explanation:
The solutions are 2 and 5
Because it's asking what would make the triangles congruent, you would set up the equation like this because the angles (angle 3 and angle 4) need to be equal:
x^2 = 7x - 10
Next, you add 10 to both sides. This is so that you can move it to the other side, addition is the inverse of subtraction.
x^2 + 10 = 7x
Now subtract 7x from both sides. Subtraction is the inverse of addition. You do this to get it on the other side so you can factor it. You can move the 10 and 7x to the other side in any order or at the same time, I just did it like this.
x^2 - 7x + 10 = 0
Now, factor. I don't really know how to explain factoring, you just get a feel for it with a lot of practice.
(x - 2)(x - 5) = 0
You can use FOIL to check this if you want to. x(x) is x^2, -2(-5) is 10), -2x - -5x is -7x. Now, find what you need to do to make what's in each of the groups of parentheses equal to 0.
x - 2 = 0
x = 2
One of the solutions is 2, because you add 2 to x to get 0.
x - 5 = 0
x = 5
The other solution is 5, because you add 5 to x to get 0. Lastly, check your solutions by plugging them in to the original equation.
2^2 = 7(2) - 10
4 = 14 - 10
So 2 is definitely a solution.
5^2 = 7(5) - 10
25 = 35 - 10
5 is also a solution.
Hope that helps :]
