Answer:
5 2/3 pound of 1 cake
Step-by-step explanation:
34 / 6 =
(30 / 6) + (4 / 6) =
5 + 2/3 =
5 2/3
Answer:
-12
Step-by-step explanation:
-8-4=-12
because -×-=+
and -+-=-
why because when you add the highest number gives you the sign
Answer:
Step-by-step explanation:
We have 2 equations represented by the lines on the graph
5x + 4y = 20
2x - 6y = 12
To plot the first equation on the graph, we a assume different points
4y = 20 - 5x
y = (20-5x)/4
y = 5 - 5x/4
If x =0, y = 5
If x = 2, y = 2.5
If x = 4, y = 0,
These points corresponds to the first line that cuts the positive y axis.
The first line that cuts the positive y axis is represented by the equation,
5x + 4y = 20
Since the left region of the line representing equation is shaded, the unshaded side represents
5x + 4y lesser than 20
To plot the second equation on the graph, we a assume different points
-6y = 12-2x
y = (2x-12)/6 = x/3 - 2
if x= 0, y = -2
If x = 3,y = 1
These points corresponds to the second line that cuts the negative y axis.
The second line that cuts the negative y axis is represented by the equation,
2x -6y = 12
Since the downward region of the line representing the equation is shaded, the unshaded side represents
2x -6y greater than 12
Answer:
37.9%
Step-by-step explanation:
percentage that flew away = number that flew away /total number of birds x 100
number that flew away = 29 - 18 = 11
9/29 x 100 = 37.9%
Given:
There are given the quadratic equation:

Explanation:
To find the value of x by using completing the square, first, we need to subtract 59 on both sides of the given equation:
So,
From the given equation:

Now,
Take half of the x term and square it:
So,
From the x term,

Then,
Add 64 on both sides of the above equation.
So,

Hence, an option first is correct:

Now,
From the above square:
![\begin{gathered} (x+8)^2=5 \\ x+8=\pm\sqrt[]{5} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20%28x%2B8%29%5E2%3D5%20%5C%5C%20x%2B8%3D%5Cpm%5Csqrt%5B%5D%7B5%7D%20%5Cend%7Bgathered%7D)
Then,
Subtract 8 from both sides of the equation;;
So,
![\begin{gathered} x+8=\pm\sqrt[]{5} \\ x+8-8=\pm\sqrt[]{5}-8 \\ x=\pm\sqrt[]{5}-8 \\ x=\sqrt[]{5}-8,\pm\sqrt[]{5}-8 \\ x=-5.7639,-10.236067 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%2B8%3D%5Cpm%5Csqrt%5B%5D%7B5%7D%20%5C%5C%20x%2B8-8%3D%5Cpm%5Csqrt%5B%5D%7B5%7D-8%20%5C%5C%20x%3D%5Cpm%5Csqrt%5B%5D%7B5%7D-8%20%5C%5C%20x%3D%5Csqrt%5B%5D%7B5%7D-8%2C%5Cpm%5Csqrt%5B%5D%7B5%7D-8%20%5C%5C%20x%3D-5.7639%2C-10.236067%20%5Cend%7Bgathered%7D)
Final answer:
Hence, the value of x is shown below: