What is the solution to the equation 0.24(x−10.2)=6 when solving for x ?(1 point)

Question

Responses

14.8
14.8

35.2
35.2

11.64
11.64

16.44
16.44

Answer 1

To solve for x, we need to isolate it on one side of the equation. Here's the step-by-step solution:

0.24(x - 10.2) = 6
Distribute 0.24 to both terms inside the parentheses:
0.24x - 0.24(10.2) = 6
0.24x - 2.448 = 6
Add 2.448 to both sides of the equation to get rid of the constant term on the left side:
0.24x = 6 + 2.448
0.24x = 8.448
To isolate x, divide both sides of the equation by 0.24:
x = 8.448 / 0.24
x ≈ 35.2

So, the solution to the equation 0.24(x - 10.2) = 6 is x ≈ 35.2

Answer 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

12.452
12.452

15.44876
15.44876

−2.252

Answer 3

To solve for x, we need to isolate it on one side of the equation. Here's the step-by-step solution:

1.26(x - 7.352) = 6.426
Distribute 1.26 to both terms inside the parentheses:
1.26x - 1.26(7.352) = 6.426
1.26x - 9.26632 = 6.426
Add 9.26632 to both sides of the equation to get rid of the constant term on the left side:
1.26x = 6.426 + 9.26632
1.26x = 15.69232
To isolate x, divide both sides of the equation by 1.26:
x = 15.69232 / 1.26
x ≈ 12.452

So, the solution to the equation 1.26(x - 7.352) = 6.426 is x ≈ 12.452.

Answer 4

Solve for x in the equation −6.29(x+7.85)=−19.499 .(1 point)

Answer 5

To solve for x in the equation −6.29(x+7.85)=−19.499, follow these steps:

1. Distribute -6.29 to both terms inside the parentheses:
-6.29x - 6.29(7.85) = -19.499
-6.29x - 49.4165 = -19.499

2. Add 49.4165 to both sides of the equation to eliminate the constant term on the left side:
-6.29x = -19.499 + 49.4165
-6.29x = 29.9175

3. To isolate x, divide both sides of the equation by -6.29:
x = 29.9175 / -6.29
x ≈ -4.76

So, the solution to the equation −6.29(x+7.85)=−19.499 is x ≈ -4.76.

Answer 6

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)

Answer 7

Let t represent the number of bags of clementines that Trisha brought.

The number of clementines in Sal's bags is 12 * 4 = 48.
The number of clementines in Joe's bags is 12 * 6 = 72.

Altogether, Sal, Trisha, and Joe brought 48 + 72 + 12t clementines.

Since the total number of clementines is given as 180, we can write the equation:

48 + 72 + 12t = 180

This is the equation that can be used to determine how many bags Trisha brought, t.

Answer 8

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)

box(t+box)=box

Answer 9

Let's try rewriting the equation to represent the scenario more accurately.

Given that each bag contains 12 clementines, the number of clementines Sal brought can be represented as 12 * 4 = 48. Similarly, the number of clementines Joe brought can be represented as 12 * 6 = 72.

Now, let's represent the number of bags Trisha brought as t.

The equation that represents the total number of clementines brought by Sal, Trisha, and Joe can be written as:
48 + 12t + 72 = 180

Simplifying this equation, we get:
12t + 120 = 180

Now, let's solve for t to determine how many bags Trisha brought.