Answer:
The answer is below
Step-by-step explanation:
The distance between the upper left coordinate and the upper right coordinate is the length of the rectangle. Hence:
Area = length * breadth
20 = 5 * breadth
breadth = 4 units
The bottom left coordinate would have the same x coordinate as the upper left coordinate. Hence, bottom left coordinate = (-1, y₁)
The distance between the upper left coordinate and the bottom left coordinate is the breadth of the rectangle. Hence:
Since it is at the bottom, hence y₁ = 3. Hence bottom left coordinate = (-1, 3)
Bottom right coordinate has same y coordinate as bottom left coordinate and same x coordinate as upper right. Hence bottom right coordinate = (4, 3)
\begin{gathered}\{\begin{array}{ccc}3x+5y=2&|\cdot(-3)\\9x+11y=14\end{array}\\\underline{+\{\begin{array}{ccc}-9x-15y=-6\\9x+11y=14\end{array}}\ \ |\text{add both sides of equations}\\.\ \ \ \ \ -4y=8\ \ \ |:(=4)\\.\ \ \ \ \ y=-2\\\\\text{substitute the value of y to the first equation}\\\\3x+5\cdot(-2)=2\\3x-10=2\ \ \ |+10\\3x=12\ \ \ |:3\\x=4\\\\Answer:\ x=4;\ y=-2\to(4;\ -2)\end{gathered}
{
3x+5y=2
9x+11y=14
∣⋅(−3)
−9x−15y=−6
9x+11y=14
add both sides of equations
. −4y=8 ∣:(=4)
. y=−2
substitute the value of y to the first equation
3x+5⋅(−2)=2
3x−10=2 ∣+10
3x=12 ∣:3
x=4
Answer: x=4; y=−2→(4; −2)
Due to the margin of error of 10% I would say that then at least 48% wanted the school year lengthened and at least 32% want to keep it the same. I got these figures by subtracting the 10% from the nominal figures to give minimum figures for both.
Answer:
Step-by-step explanation:
Let the muffin number = x
Let the pie number = y
x + y = 30 Solve for y. Subtract x from both sides
y = 30 - x
Now calculate the cost
2.5 x + 9 = 4.5 y Substitute for y on the right.
2.5x +9 = 4.5 (30 - x) Remove the brackets.
2.5x + 9 = 135 - 4.5 x Add 4.5 x to both sides
2.5x + 4.5x + 9 = 135 Combine the left.
7x + 9 = 135 Subtract 9 from both sides
7x = 135 - 9
7x = 126 Divide by 7
7x/7 = 126 / 7
x = 18
There were 18 muffins
x + y = 30
18 + y = 30 Subtract 18 from both sides
y = 12
Answer:
Answer:
try socratic it should help