Step 1: multiple the second equation by 2 so that you get -1/4 for the coefficient of y, the same as in equation 1
equation 2 multiply by 2: 1/4 x - 1/4 y=38 ..........name this equation 3
subtract equation 1 from equation 3: (1/4 x -1/2 x)=38-10
-1/4 x = 28
x=-112
plug in x=-112 in any of the equation, you will get y=-264
so the answer is A
Answer:
$541.26
Step-by-step explanation:
Please let me know if this helps
Plz mark B R A I N L I E S T
P(7,6), Q(1,6), R(4,2)
We have PQ parallel to the x axis. We'll call that the base,
b = 7 - 1 = 6
The altitude is then the y difference h = 6 - 2 = 4
The area is ![\frac 1 2 bh = \frac 1 2 (6)(4) = 12](https://tex.z-dn.net/?f=%20%5Cfrac%201%202%20bh%20%3D%20%5Cfrac%201%202%20%286%29%284%29%20%3D%2012)
Answer: 12 square units
In general we can use the shoelace formula for the area of any polygon given coordinates. We write the points like this:
(7,6), (1,6), (4,2)
(1,6), (4,2), (7,6)
The area is then half the absolute value of the sum of the cross products:
![A = \frac 1 2 | 7(6)-6(1) + 1(2)-6(4) + 4(6)-2(7) | = \frac 1 2 |24| = 12](https://tex.z-dn.net/?f=A%20%3D%20%5Cfrac%201%202%20%7C%207%286%29-6%281%29%20%2B%201%282%29-6%284%29%20%2B%204%286%29-2%287%29%20%7C%20%3D%20%5Cfrac%201%202%20%7C24%7C%20%3D%2012)
Answer:
The quantity of clover seeds in pounds to be added is 11.14
Step-by-step explanation:
Let
x -----> the quantity of poppy seeds in pounds
y -----> the quantity of clover seeds in pounds
we know that
-----> equation A
----> equation B
substitute equation B in equation A and solve for y
therefore
The quantity of clover seeds in pounds to be added is 11.14
First, get common denominators
At the same time, turn these into mixed numbers
27/8 + x = 44/8
Subtract 27/8 from both sides
x = 2 1/8 pounds
Let’s x be how many more pounds the baby needs