1/2 Square equals to 1/4 equals to x over 5 2 Square
therefore 1/4 equals to x over 5 2 square
Equals to 1/4 equals to x over 5 * 4 you know that 2 square equals to 4
So now I'm going to solve for 1/4 equals to x of over 5 * 4 equals to 20
1/4 equals to x over 20
1/4 equals to 20 cross multiply
= 1\4 = x/20
= 4 * x = 20*1
4x = 20
divide both side by the coefficient of x
4x/4 = 20/4
x =5
5. B
40% can be converted to 0.4 so it is basically 4/10 of $270.
Remember of means to multiply so...
4/10 x $270 = $108
6. B
25% is a 1/4
1/4 of the students went. There were forty students. 40*4= 160
7. C
43/50 can be converted to make it easier so multiply the fraction by 2.
86/100 = 0.86
8.
a. 2/3
b. 67% rounded
c. 8 sesame bagels and 12 plain bagels.
Answer:
a) Minimize 
subject to




b) Attached
c) The optimum value that minimizes cost is x1=28 and x2=8.
Step-by-step explanation:
The objective function is the cost of extraction and needs to be minimized.
The cost of extraction is the sum of the cost of extraction of ore type 1 and the cost of extraction of ore type 2:

Being x1 the tons of ore type 1 extracted and x2 the tons of ore type 2.
The constraints are the amount of minerals that need to be in the final mix
Copper:

Zinc

Magnesium

Of course, x1 and x2 has to be positive numbers.

The feasible region can be seen in the attached graph.
The orange line is the magnesium constraint. The red line is the copper constraint. The green line is the zinc constraint.
The optimal solution is found in one of the intersection points between two constraints that belong to the limits of the feasible region.
In this case, the cost can be calculated for the 3 points that satisfies the conditions.
The optimum value that minimizes cost is x1=28 and x2=8.
A polygon is a closed figure formed by three or more straight lines called line segments.
<h3><u>Solution:</u></h3>
A polygon is a closed figure formed by three or more straight lines called line segments.
It is formed with only straight lines; if any curved line is used to form a closed figure than it will not be termed as a polygon
A polygon can be classified on the basis of a number of sides and measure of angles
Classified by Measuring the Angles:- Regular, irregular, concave , convex, quadrilateral and pentagon
On the basis of sides it can be a triangle having 3 sides, quadrilateral having 4 sides, pentagon having five sides and so on
Answer:C
Step-by-step explanation:
9×4=36
2×.5×4×3=12
36+12=48