Question
What is the solution of 1200 - 5(3X + 30) = 600?
Hint:
An equation in which highest power of any variable is always 1 is known as a Linear equation.
We will simplify the given equation and find the value of x.
The correct answer is: Value of x for the given equation is 30
Step-by-step solution:-
1200 - 5(3X + 30) = 600
∴ - 5(3X + 30) = 600 - 1200 …..................................... (Taking all constants together)
∴ - 5(3X + 30) = -600
∴ 3x + 30 = -600 / -5 …........................................ (Dividing both sides by -5)
∴ 3x + 30 = 120
∴ 3x = 120 - 30 ........................................... (Taking all constants together)
∴ 3x = 90
∴ x = 90/3 ................................................. (Dividing both sides by 3)
∴ x = 30
Final Answer:-
∴ Value of x for the given equation is 30.
Related Questions to study
A company manufactures cell phone cases. the length of a certain case must be with in of as shown. All cases with lengths outside of this range are removed from the inventory How could you use an absolute value inequality to represent the lengths of all the cases that should be removed ? Explain.
A company manufactures cell phone cases. the length of a certain case must be with in of as shown. All cases with lengths outside of this range are removed from the inventory How could you use an absolute value inequality to represent the lengths of all the cases that should be removed ? Explain.
"Anna bought 8 tetras and 2 rainbow fish for her aquarium. The rainbow fish cost $6 more than the tetras. She paid a total of $37. Which of the following are true ? Select all that apply ;
A. The cost of 4 tetras is the same as the cost of a rainbow fish.
B. One rainbow fish plus 5 tetras Cost $21.
C. An equation to find the cost r, in dollars of a rainbow fish is 8r + 2(r + 6) = 37
D. Reducing the number of rainbow fish by 1 would result in a total cost of $28.50
E. An equation to find the cost t, in dollars , of a tetra is 8t + 2t + 6 = 37
Let's talk about the cost equation.
A company must determine the cost of producing and selling one of its products to create a cost equation. It must also calculate the overhead costs of production. Typically, the cost equation is the cost of manufacturing and selling one item multiplied by the number of items sold and added to the company's overhead costs.
For example, a company with $300,000 in overhead costs that manufacture and sells products that cost the company $5 each has a cost equation of 300,000 + $5. (5 x number of products sold).
"Anna bought 8 tetras and 2 rainbow fish for her aquarium. The rainbow fish cost $6 more than the tetras. She paid a total of $37. Which of the following are true ? Select all that apply ;
A. The cost of 4 tetras is the same as the cost of a rainbow fish.
B. One rainbow fish plus 5 tetras Cost $21.
C. An equation to find the cost r, in dollars of a rainbow fish is 8r + 2(r + 6) = 37
D. Reducing the number of rainbow fish by 1 would result in a total cost of $28.50
E. An equation to find the cost t, in dollars , of a tetra is 8t + 2t + 6 = 37
Let's talk about the cost equation.
A company must determine the cost of producing and selling one of its products to create a cost equation. It must also calculate the overhead costs of production. Typically, the cost equation is the cost of manufacturing and selling one item multiplied by the number of items sold and added to the company's overhead costs.
For example, a company with $300,000 in overhead costs that manufacture and sells products that cost the company $5 each has a cost equation of 300,000 + $5. (5 x number of products sold).