Answer:
(1,1) is a solution of the system.
Step-by-step explanation:
Let's solve the system.
y = 2x - 1
5x - 4y = 1
In the first equation, y is already separated as a function of x. So we replace in the second equation;
5x - 4(2x - 1) = 1
5x - 8x + 4 = 1
4 - 1 = 8x - 5x
x = 1
y = 2x - 1 = 2(1) - 1 = 1
(1,1) is a solution of the system.
Answer:
P(odd number) = 0.5
Step-by-step explanation:
There are 90 members in the set (10, 11, 12, .. , 97, 98, 99)
When we have an even number of consecutive numbers, the number of even numbers equals the number of odd numbers. This means that half of the numbers in this set are even and half of them are odd.
So the probability of P(odd number) = 0.5
Answer:
24
Step-by-step explanation:
Split the shape into 2 so you get a triangle and a rectangle.
Find area of triangle:
1/2 x a x b = 1/2 x 3 x 4
= 6 square feet
Find area of rectangle:
b x h = 6 x 3
= 18
Add both together
18 + 6 = 24
To solve for the width simply multiply the two numbers:
width of sidewalk = 12 * (3 7/8)
Where 3 7/8 = 31/8
so calculating,
width of sidewalk = 12 * (31 / 8)
<span>width of sidewalk = 46.5 inches</span>
