Lindsay practices the guitar 50 minutes on Saturday and 30 minutes on most weekdays. Last week she practiced 140 minutes. How many weekdays did she practice? Write an equation in the form px+q=r to represent this problem.(2 points)
? x +? = ?
Let x represent the number of weekdays that Lindsay practiced the guitar.
Therefore, the total time she practiced on weekdays is 30x minutes.
Since she also practiced for 50 minutes on Saturday, the total time she practiced last week is 30x + 50 minutes.
We know that the total time she practiced last week is 140 minutes.
Therefore, the equation in the form px + q = r to represent this problem is:
30x + 50 = 140
What is the solution to the equation 0.24(x−10.2)=6 when solving for x ?(1 point)
Responses
14.8
14.8
35.2
35.2
11.64
11.64
16.44
To solve the equation 0.24(x - 10.2) = 6 for x, we can start by distributing the 0.24 to the terms inside the parentheses:
0.24 * x - 0.24 * 10.2 = 6.
This simplifies to:
0.24x - 2.448 = 6.
Next, we can isolate the variable x by adding 2.448 to both sides of the equation:
0.24x - 2.448 + 2.448 = 6 + 2.448.
Simplifying further:
0.24x = 8.448.
Finally, we can solve for x by dividing both sides of the equation by 0.24:
x = 8.448 / 0.24.
This gives us:
x = 35.2.
Therefore, the solution to the equation is x = 35.2.
What is the solution to the equation 1.26(x−7.352)=6.426 when solving for x ?(1 point)
Responses
15.038
15.038
−2.252
negative 2.252
15.44876
15.44876
12.452
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:
1.26x - 1.26 * 7.352 = 6.426.
This simplifies to:
1.26x - 9.24672 = 6.426.
Next, we can isolate the variable x by adding 9.24672 to both sides of the equation:
1.26x - 9.24672 + 9. 24672 = 6.426 + 9.24672.
Simplifying further:
1.26x = 15.67272.
Finally, we can solve for x by dividing both sides of the equation by 1.26:
x = 15.67272 / 1.26.
This gives us:
x ≈ 12.452.
Therefore, the solution to the equation is x ≈ 12.452.
Solve for x in the equation −6.29(x+7.85)=−19.499 .
To solve the equation -6.29(x + 7.85) = -19.499 for x, we can start by distributing the -6.29 to the terms inside the parentheses:
-6.29x - 6.29 * 7.85 = -19.499.
This simplifies to:
-6.29x - 49.3065 = -19.499.
Next, we can isolate the variable x by adding 49.3065 to both sides of the equation:
-6.29x - 49.3065 + 49.3065 = -19.499 + 49.3065.
Simplifying further:
-6.29x = 29.8075.
Finally, we can solve for x by dividing both sides of the equation by -6.29:
x = 29.8075 / -6.29.
This gives us:
x = -4.7417.
Therefore, the solution to the equation is x = -4.7417.
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)
? (t+?) = ?
The number of bags that Sal brought is 4, and the number of bags that Joe brought is 6.
Since each bag has 12 clementines, the number of clementines Sal brought is 4 * 12 = 48, and the number of clementines Joe brought is 6 * 12 = 72.
The total number of clementines brought by Sal, Trisha, and Joe together is 180.
Therefore, the equation to determine how many bags Trisha brought, t, can be written as:
12t = 180 - 48 - 72.
Simplifying,
12t = 60.
Thus, the equation is:
12t = 60.
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. (2 points)
(t+
) =