Answer:
x = 8
Step-by-step explanation:
Step 1: Subtract 5x from both sides.
Step 2: Add 2 to both sides.
Step 3: Divide both sides by 2.
Step 4: Check if solution is correct.
Therefore, x = 8.
Write a real world statement for each inequality p < 200
1 answer:
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Answer:
We know that:
Price of a taco = $4
Price of a burrito = $6.50
x = number of tacos sold
y = number of burritos sold.
We must have that:
x + y ≤ 150 (Because she only has supplies to make 150 tacos or burritos, but she can sell less than that)
And also we know that she must sell at least $780, then:
x*$4 + y*$6.50 ≥ $780
Now we found the system of inequalities:
x + y ≤ 150
x*$4 + y*$6.50 ≥ $780
To solve it graphically, we just need to find each one of the region solutions for each equation, and the intersection of these regions will be the solution for the system.
To graph them may be easier to write them as lines, you can do it as follows:
y ≤ 150 - x
y ≥ ($780 - x*$4)/$6.50
in the first equation, we will shade the area below the line, and in the second equation, we will shade the area above the line.
You can see the image below.
Where the accepted solutions are the ones in the darker part, and we only restrict this to positive values of x (because of how we defined the variable x)
Then looking at the image, we can see that one solution can be the point
x = 20, y = 120
Answer:
It should be 1,628 .
Step-by-step explanation:
We see two shapes in the figure and those shapes are a rectangle and a circle. Let's find the area of the circle first. 25m won't help us find the area of the circle so let's pretend that 25m isn't there for now. 40m seems to be the diameter of the circle and to find the area of the circle we need to multiply the radius squared by Pi or 3.14. Half of 40 is 20 so we can multiply 20 squared by Pi to give us 1,256.63706. Do not round this number yet. As you can see this circle isn't a full circle. It's a semicircle. We can divide 1,256.63706 by 2 to find the area of a semicircle. You should get 628.31853 and round that to the nearest tenth and we get 628.32. Now let's keep that number in mind and find the area of the rectangle. Using a calculator we can easily multiply 40 and 25 to find the area of the rectangle, which is 1,000. Add 1,000 and 628.32 and our final results should be 1,628.32. I don't see this number in your options but option B is closely related to this answer. I hope this helps and if this answer is wrong then please give me some feedback on what I did wrong! Thank you!