Answer:
The answer is A, B, and D
Step-by-step explanation:
This is really easy, all you have to do is to choose the answers that are less than 1.
Why? because anything less than 1 multiplied by a number gives you a smaller number.
Since C and E are bigger than 1 then they will give you a bigger number than 2/3.
But A, B, and D are less than 1.
So, the answer is A, B, and D
The solution to the system of equation are x = -2 and y = 3
<h3>How to find the solution of a system of equation?</h3>
x + 3y = 7
2x + 4y = 8
Let's isolate x in the first equation
x = 7 - 3y
substitute the value of x in the second equation.
Therefore,
2(7 - 3y) + 4y = 8
14 - 6y + 4y = 8
-2y = 8 - 14
-2y = -6
y = -6 / -2
y = 3
Hence,
x + 3(3) = 7
x = 7 - 9
x = -2
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Answer:
P(n) = 0.5
Step-by-step explanation:
For two events which are independent, we use the multiplication rule which states P (A and B) = P(A) * P(B). Substitute P(m) = 0.4 and P(m and n) = 0.2 into this formula.
P (m and n) = P(m) * P(n)
0.2 = 0.4*P(n)
Divide by 0.4 on both sides.
0.2 / 0.4 = P(n)
0.5 = P(n)
Answer:
Total cost of cementing the path = Rs. 17,000.
Step-by-step explanation:
Let the square garden be ABCD
Let the region inside the garden (ABCD) be WXYZ.
<u>Given the following data;</u>
Length of sides of ABCD = 90m
Width of path = 5m
Cost = Rs. 10 per m²
Area of ABCD = 90 * 90
Area of ABCD = 8100m²
<em>To find the area of WXYZ;</em>
WX = WZ = 90 - (5 + 5)
WX = WZ = 90 - 10
WX = WZ = 80m
Area of WXYZ = WX * WZ
Substituting into the equation, we have;
Area of WXYZ = 80 * 80
Area of WXYZ = 6400 m²
Area of path = Area of ABCD - Area of WXYZ
Area of path = 8100 - 6400
Area of path = 1700 m²
Total cost of cementing the path = Area of path * cost
Total cost of cementing the path = 1700 * 10
<em>Total cost of cementing the path = Rs. 17,000</em>
Answer:
Graph: Refer to attached image
Solution: (-5,-3)
Step-by-step explanation:
First graph to two equations.
Refer to the image attached to see what the equations would look like when graphed.
Wherever they intersect is the solution.
They intersect at (-5,-3) therefore (-5,-3) is the solution to the system of equations
