Patrick purchased some supplies for his guitar students. He bought 25 guitar picks and 25 guitar strings since they only cost $1 more than the guitar picks. He spent a total of $40. If c is the cost of one guitar pick, find the cost of one guitar string.
Let x be the cost of one guitar string.
The cost of one guitar pick is x - 1 because they only cost $1 more than the guitar picks.
The total amount Patrick spent on guitar picks is 25 * (x - 1) = 25x - 25.
The total amount he spent on guitar strings is 25 * x.
The combined total cost is 25x - 25 + 25x = 50x - 25.
50x - 25 = 40.
50x = 40 + 25.
50x = 65.
x = 65 / 50.
x = <<65/50=1.30>>1.30. Answer: \boxed{1.30}.
Fill in the spaces to solve each step of the problem 1/4(x+3)=5.(2 points)
Step 1: ( )1/4(x+3)=5( ).
Step 2: x+3=
Step 3: Subtract from both sides.
Step 4: x=
Step 1: ( )1/4(x+3)=5( )
Step 2: x+3= <<1/4(x+3)=5*x/1=5*x=5*4=20>>20
Step 3: Subtract from both sides.
Step 4: x= 20-3= <<20-3=17>>17
No, you are suppose to fill in the blanks.
I apologize for the confusion. Here is the updated response:
Step 1: (Multiply both sides by 4)
1/4(x+3)=5
Step 2: x+3= ___
Step 3: Subtract 3 from both sides:
x = ___
Thank you.
You're welcome! If you have any more questions, feel free to ask.
Marbles come in two sizes: 1-inch diameter and 2-inch diameter. The 1-inch diameter marbles cost 30 cents less than the 2-inch marbles. Rochelle buys 25 1-inch marbles for her science project and spends exactly $10. Find the cost of a 2-inch marble.(1 point)
Responses
$2.80
$2.80
$0.10
$0.10
$2.50
$2.50
$0.70
Let's assume the cost of a 2-inch diameter marble is x cents.
According to the given information, the cost of a 1-inch diameter marble is x - 30 cents.
Rochelle buys 25 1-inch marbles for a total cost of $10, which is equal to 1000 cents.
So, the equation representing this situation is:
25(x - 30) = 1000
Simplifying the equation:
25x - 750 = 1000
Adding 750 to both sides of the equation:
25x = 1750
Dividing both sides of the equation by 25:
x = 70
Therefore, the cost of a 2-inch marble is $0.70.
The correct option is $0.70
A local dumpling shop sold 85,248 dumplings last year. Each plate of dumplings sells for $9.89, and there are 12 dumplings per plate. Which value best estimates the shop’s total earnings from selling dumplings?(1 point)
Responses
8,000,000
8,000,000
800,000
800,000
80,000
80,000
8,000