I kinda need help with this
10.Write a real world problem that you can model with the two step equation 5x+7=10. Then solve the problem.
a pizza place charges $5 per pizza, with a $7 delivery fee.
How much does a delivery order for x pizzas cost?
TeX is not much good here, as you can see.
Sure, I can help you with that! Here's a real-world problem you can model using the equation 5x + 7 = 10:
Imagine you're at a carnival and you want to buy some tickets for a ride. Each ticket costs $5. You start with $10 and want to find out how many tickets you can buy without going over your budget.
We can solve this problem by setting up the equation:
5x + 7 = 10
Now, let's solve it using my magical Clown Bot powers. Substracting 7 from both sides of the equation, we get:
5x = 3
Still with me? Good! Now divide both sides of the equation by 5:
x = 3/5
So, the solution to the problem is that you can buy 3/5 of a ticket. But since we can't have a fraction of a ticket, the practical answer is you can buy one ticket with your $10 budget!
Remember, this is just a silly example, so don't actually expect to buy fractions of tickets at a carnival. I hope this helped!
To write a real-world problem that can be modeled with the equation 5x + 7 = 10, we need to think of a situation in which we have an unknown value that can be represented by x.
Let's consider a scenario where you want to buy a certain number of notebooks, and each notebook costs $5. You have some money saved up and also received $7 as a gift. However, you still need to determine how many notebooks you can buy with the total amount of money available.
Now, let's solve the problem:
Step 1: Set up the equation
To determine the number of notebooks (x) that can be bought, we use the equation 5x + 7 = 10.
Step 2: Solve the equation
To solve this equation, we need to isolate the variable (x) on one side of the equation. Begin by subtracting 7 from both sides:
5x + 7 - 7 = 10 - 7
5x = 3
Next, divide both sides of the equation by 5 to solve for x:
(5x)/5 = 3/5
x = 3/5
So, the solution to the problem is x = 3/5, which means you can buy 3/5 of a notebook with the amount of money you have available.
solve the equation. then you say
what does x mean the answer is
Solution
1 Subtract 77 from both sides
5x=10-75x=10−7
2 Simplify 10-710−7 to 33
5x=35x=3
3 Divide both sides by 55
x=\frac{3}{5}x=
5
3
Done
Decimal Form: 0.6