−16x−19=−12x+9
To solve this equation for x, we can start by combining like terms on both sides of the equation:
-16x - 19 = -12x + 9
To do this, we can add 16x to both sides of the equation:
-16x + 16x - 19 = -12x + 16x + 9
Simplifying this expression gives us:
-19 = 4x + 9
Next, we can subtract 9 from both sides of the equation:
-19 - 9 = 4x + 9 - 9
Simplifying this expression gives us:
-28 = 4x
Finally, we can divide both sides of the equation by 4 to solve for x:
-28/4 = 4x/4
Simplifying this expression gives us:
-7 = x
Therefore, the solution for x is -7.
−2/7y+9=17
14x+17=10x+7
5/8z+7=24
10p+1=8p+10
To solve the equation -2/7y + 9 = 17, you can start by isolating the variable y.
First, subtract 9 from both sides of the equation:
-2/7y + 9 - 9 = 17 - 9
This simplifies to:
-2/7y = 8
Next, multiply both sides of the equation by the reciprocal of -2/7, which is -7/2, in order to cancel out the fraction on the left-hand side:
-7/2 * -2/7y = 8 * -7/2
Simplifying this expression gives us:
y = -28.
Therefore, the solution for y is -28.
Now moving on to the equation 14x + 17 = 10x + 7:
To solve for x, start by subtracting 10x from both sides of the equation:
14x - 10x + 17 = 10x - 10x + 7
This simplifies to:
4x + 17 = 7
Next, subtract 17 from both sides of the equation:
4x + 17 - 17 = 7 - 17
This simplifies to:
4x = -10
Finally, divide both sides of the equation by 4 to solve for x:
4x/4 = -10/4
This simplifies to:
x = -2.5
Therefore, the solution for x is -2.5.
Moving on to the equation 5/8z + 7 = 24:
To solve for z, start by subtracting 7 from both sides of the equation:
5/8z + 7 - 7 = 24 - 7
This simplifies to:
5/8z = 17
Next, multiply both sides of the equation by the reciprocal of 5/8, which is 8/5, in order to cancel out the fraction on the left-hand side:
8/5 * 5/8z = 17 * 8/5
Simplifying this expression gives us:
z = 27.2
Therefore, the solution for z is 27.2.
Finally, moving on to the equation 10p + 1 = 8p + 10:
To solve for p, start by subtracting 8p from both sides of the equation:
10p - 8p + 1 = 8p - 8p + 10
This simplifies to:
2p + 1 = 10
Next, subtract 1 from both sides of the equation:
2p + 1 - 1 = 10 - 1
This simplifies to:
2p = 9
Finally, divide both sides of the equation by 2 to solve for p:
2p/2 = 9/2
This simplifies to:
p = 4.5
Therefore, the solution for p is 4.5.
Imagine that you are the head of a large company that wants to retrieve raw materials. In three to five sentences, describe three different jobs your company may need and explain the purpose of those jobs.
1. Mining engineer: A mining engineer would be responsible for planning and designing the extraction of raw materials from natural deposits. They would analyze geological data, develop mining plans, and oversee operations to ensure efficient and safe extraction of materials like minerals or metals.
2. Geologist: A geologist would play a crucial role in identifying and assessing potential sources of raw materials. They would study rocks, soil, and mineral samples, analyze geological formations, and use their expertise to locate and evaluate deposits of valuable materials. Their findings would help guide the company in deciding where to establish mining operations.
3. Environmental manager: As the company aims to retrieve raw materials sustainably, an environmental manager would be essential to oversee and ensure compliance with environmental regulations and best practices. They would assess the environmental impact of mining operations, develop and implement environmental management plans, and work towards reducing any negative effects on the ecosystem and surrounding communities.
Larger companies often need many workers who do different steps in the transportation process, instead of each member doing all steps in the process they do a single step before handing it to another worker to do the next step.
Imagine that you are the head of a large company that wants to retrieve raw materials. In three to five sentences, describe three different jobs your company may need and explain the purpose of those jobs.
1. Procurement Specialist: A procurement specialist would be responsible for sourcing and purchasing raw materials from suppliers. They would negotiate contracts, evaluate vendors, and ensure the company obtains the required materials at the best possible price and quality. Their role is crucial in maintaining a steady supply chain and optimizing cost efficiency.
2. Logistics Coordinator: A logistics coordinator would oversee the transportation and distribution of the raw materials. They would plan and coordinate the movement of materials, including arranging for shipping, tracking deliveries, and managing inventory. Their role is to ensure smooth and timely transportation of materials from the source to the company's facilities.
3. Warehouse Manager: A warehouse manager would be in charge of organizing and managing the storage of raw materials. They would oversee inventory management, implement efficient warehouse practices, and ensure the safe handling and storage of materials. By maintaining well-organized and fully stocked warehouses, they help streamline the retrieval process and ensure the availability of materials for production.