Total length of the kitchen wall = 24 2/3 feet.
Let us convert 24 2/3 feet into improper fracion.
24 2/3 = (24*3+2)/3 = 74/3 feet.
Length of each strip = 1 3/4 feet.
Let us convert 1/3/4 feet in improper fracion.
1 3/4 feet = (1*4+3)/4 = 7/4 feet.
Total number of strips required = (Total length of the kitchen wall) ÷ (Length of each strip)
= 74/3 feet ÷ 7/4 feet.
Let us convert division sign into multiplication, we get
74/3 × 4/7.
Multiplying across, we get
296/21.
On dividing 296 by 21, we get 14.09 approximately.
14.09 represents more than 14.
So, we can round it to the next whole number, that is 15.
Therefore, 15 strips of border are needed.
The answer is y = -1/3x + 2
Because the y intersect is located at (0,2) we know that the b value in the formula y=mx + b is 2 and using rise over run we determine the slope to be -1/3
Here's my interpretation: 4 whole km, plus zero tenths of a km, plus 3 hundredths of a km, plus 5 thousandths of a km.
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 :]
Answer:
The average is 124
Step-by-step explanation:
When x=2 substitute into the equation given above
-3^2+79
9+79=88...(1)
When x=4
-3^4+79
81+79=160(2)
Average of (1) and (2)
160+88/2
=248/2
=124
Therefore the average rate is 124
