Answer:
A. x = 12
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use PT to solve for the missing side.
<u>Step 2: Identify Conversions</u>
Leg <em>a</em> = <em>x</em>
Leg <em>b</em> = 5
Hypotenuse <em>c</em> = 13
<u>Step 3: Solve for </u><em><u>x</u></em>
- Substitute: x² + 5² = 13²
- Isolate <em>x</em> term: x² = 13²- 5²
- Exponents: x² = 169 - 25
- Subtract: x² = 144
- Isolate <em>x</em>: x = 12
7/19 is the answer because your replacing the purple marble and it became 7 all u do is add them
Answer:
$91.67.
Step-by-step explanation:
We have been given that Mark is creating a tarp to cover his new vegetable garden outside. He needs enough nylon to cover the garden which is 10 feet by 8 feet and then he will attach rope along the edges of the nylon to stake it down with.
A. Let us find area covered by nylon by multiplying 10 by 8.


Now let us convert area of needed nylon from square feet into square yard by multiplying 80 by 0.111111.

Now let us multiply 8.88889 by 5.25 to find the cost of nylon cover of the garden.


Therefore, the cost of nylon cover will be $46.67.
B. Now let us find length of rope by finding the perimeter of the garden.



Now let us find the cost of 36 feet long rope by multiplying 36 by 1.25.


Therefore, the cost of rope will be $45.
To find the total cost to make the cover we will add cost of nylon cover and cost of rope.


Therefore, it will cost $91.67 for Mark to make the cover for vegetable garden.
<span>
A box plot is drawn with end points at 10 and 35.The box extends from 13 to 30 and a vertical line is drawn inside the box at 21.</span>
Multiply both sides by 5 to go from this
x/5 >= -2
to this
x >= -10
The notation ">=" without quotes means "greater than or equal to"
To graph this, plot -10 on the number line as a closed circle. Shade to the right of this closed circle. The shaded region represents all the solutions to the original inequality.
Final Answer: Choice D