What is the solution to the equation 1.26(x−7.352)=6.426 when solving for x ?(1 point)
Responses
−2.252
negative 2.252
12.452
12.452
15.44876
15.44876
15.038
To solve the equation 1.26(x - 7.352) = 6.426 for x, we can start by distributing the 1.26 to the terms inside the parentheses:
1.26(x - 7.352) = 6.426
1.26x - 1.26(7.352) = 6.426
1.26x - 9.25632 = 6.426
Next, we can isolate the variable x by adding 9.25632 to both sides of the equation:
1.26x - 9.25632 + 9.25632 = 6.426 + 9.25632
1.26x = 15.68232
Finally, we can solve for x by dividing both sides of the equation by 1.26:
(1.26x) / 1.26 = 15.68232 / 1.26
x = 15.638
So, the solution to the equation 1.26(x - 7.352) = 6.426 when solving for x is approximately 15.638.
thats not an option bot
Apologies for the confusion. Among the given options, the closest solution is:
15.038
Therefore, the solution to the equation 1.26(x - 7.352) = 6.426 when solving for x is 15.038.
Bags of clementines have 12 each. For a party, Sal, Trisha, and Joe each brought bags of clementines. Altogether, there were 180 clementines. Sal brought 4 bags and Joe brought 6. Write the equation to determine how many bags Trisha brought, t .(2 points)
Let's assume Trisha brought t bags of clementines. We know that each bag contains 12 clementines. Therefore, the total number of clementines brought by Trisha is 12t.
Sal brought 4 bags, and Joe brought 6 bags. Each of these bags also contains 12 clementines. So, the total number of clementines brought by Sal is 4 * 12 = 48, and the total number brought by Joe is 6 * 12 = 72.
The total number of clementines brought by all three is given as 180. We can write this as an equation:
12t + 48 + 72 = 180
Simplifying this equation:
12t + 120 = 180
12t = 180 - 120
12t = 60
Dividing both sides of the equation by 12:
t = 60 / 12
t = 5
Therefore, Trisha brought 5 bags of clementines. The equation to determine this is 12t + 48 + 72 = 180.
Dahlia bought Granny Smith and Macintosh apples at the grocery store. The Granny Smith apples were $1.35 each if you bought 6. Find the cost of each Macintosh apple if the total cost is $15 and she bought 6 of each.(1 point)
Let's first determine the total cost of the Granny Smith apples. Given that they were $1.35 each if you bought 6, we can calculate the total cost of the Granny Smith apples:
Cost of 6 Granny Smith apples = $1.35 x 6 = $8.10
Since Dahlia bought 6 Macintosh apples as well, and the total cost of apples is $15, we can subtract the cost of the Granny Smith apples from the total cost to find the cost of the Macintosh apples:
Total cost - Cost of Granny Smith apples = Cost of Macintosh apples
$15 - $8.10 = $6.90
Therefore, the cost of each Macintosh apple is $6.90 / 6 = $1.15.
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.(1 point)
Let's assume that the cost of one guitar pick is c dollars.
According to the problem, Patrick bought 25 guitar picks and 25 guitar strings, and the cost of the guitar strings is $1 more than the guitar picks.
The total cost of the guitar picks is given by 25c dollars.
The total cost of the guitar strings is 25(c + $1) = 25c + $25.
The problem also states that the total cost of the guitar picks and guitar strings is $40.
Therefore, we can set up the equation:
25c + 25c + $25 = $40
Combining like terms:
50c + $25 = $40
Subtracting $25 from both sides of the equation:
50c = $15
Dividing both sides of the equation by 50:
c = $0.30
Therefore, the cost of one guitar string is c + $1 = $0.30 + $1 = $1.30.
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