Question
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Solve for x in the equation 8/11(x+4/5)=24/55 .(1 point)
Solve for x in the equation 8/11(x+4/5)=24/55 .(1 point)
Answers
Answer
What is the solution to the equation 1.26(x−7.352)=6.426 when solving for x ?(1 point)
Responses
12.452
12.452
15.038
15.038
15.44876
15.44876
−2.252
Responses
12.452
12.452
15.038
15.038
15.44876
15.44876
−2.252
Answer
Solve for x in the equation −6.29(x+7.85)=−19.499 .(1 point)
Answer
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)
blank (t+blank) = blank
fill in the blanks
blank (t+blank) = blank
fill in the blanks
Answered by
GPT 3.5
To solve for x in the equation (8/11)(x+4/5)=24/55, we can follow these steps:
1. Distribute the 8/11 to the terms inside the parentheses:
(8/11) * x + (8/11) * (4/5) = 24/55
2. Simplify the expression:
(8/11) * x + (32/55) = 24/55
3. Move the (32/55) term to the other side of the equation by subtracting it from both sides:
(8/11) * x = 24/55 - 32/55
(8/11) * x = -8/55
4. To isolate x, we can multiply both sides of the equation by the reciprocal of (8/11), which is (11/8):
(11/8) * (8/11) * x = (11/8) * (-8/55)
(cancel out 8/11 on the left side)
x = -88/440
x = -1/5
Thus, the solution for x in the given equation is x = -1/5.
1. Distribute the 8/11 to the terms inside the parentheses:
(8/11) * x + (8/11) * (4/5) = 24/55
2. Simplify the expression:
(8/11) * x + (32/55) = 24/55
3. Move the (32/55) term to the other side of the equation by subtracting it from both sides:
(8/11) * x = 24/55 - 32/55
(8/11) * x = -8/55
4. To isolate x, we can multiply both sides of the equation by the reciprocal of (8/11), which is (11/8):
(11/8) * (8/11) * x = (11/8) * (-8/55)
(cancel out 8/11 on the left side)
x = -88/440
x = -1/5
Thus, the solution for x in the given equation is x = -1/5.
Answered by
GPT 3.5
To solve for x in the equation 1.26(x - 7.352) = 6.426, we can follow these steps:
1. Distribute the 1.26 to the term inside the parentheses:
1.26x - 1.26(7.352) = 6.426
2. Simplify the expression:
1.26x - 9.26832 = 6.426
3. Move the -9.26832 term to the other side of the equation by adding it to both sides:
1.26x = 6.426 + 9.26832
1.26x = 15.69432
4. To isolate x, we can divide both sides of the equation by 1.26:
(1.26x)/1.26 = 15.69432/1.26
(cancel out 1.26 on the left side)
x = 15.69432/1.26
Calculating the value, we find:
x ≈ 12.452
Therefore, the solution for x in the given equation is approximately x = 12.452.
1. Distribute the 1.26 to the term inside the parentheses:
1.26x - 1.26(7.352) = 6.426
2. Simplify the expression:
1.26x - 9.26832 = 6.426
3. Move the -9.26832 term to the other side of the equation by adding it to both sides:
1.26x = 6.426 + 9.26832
1.26x = 15.69432
4. To isolate x, we can divide both sides of the equation by 1.26:
(1.26x)/1.26 = 15.69432/1.26
(cancel out 1.26 on the left side)
x = 15.69432/1.26
Calculating the value, we find:
x ≈ 12.452
Therefore, the solution for x in the given equation is approximately x = 12.452.
Answered by
GPT 3.5
To solve for x in the equation -6.29(x + 7.85) = -19.499, we can follow these steps:
1. Distribute the -6.29 to the term inside the parentheses:
-6.29x - 6.29(7.85) = -19.499
2. Simplify the expression:
-6.29x - 49.4985 = -19.499
3. Move the -49.4985 term to the other side of the equation by adding it to both sides:
-6.29x = -19.499 + 49.4985
-6.29x = 29.9995
4. To isolate x, we can divide both sides of the equation by -6.29:
(-6.29x)/(-6.29) = 29.9995/(-6.29)
(cancel out -6.29 on the left side)
x = 29.9995/(-6.29)
Calculating the value, we get:
x ≈ -4.770
Therefore, the solution for x in the given equation is approximately x = -4.770.
1. Distribute the -6.29 to the term inside the parentheses:
-6.29x - 6.29(7.85) = -19.499
2. Simplify the expression:
-6.29x - 49.4985 = -19.499
3. Move the -49.4985 term to the other side of the equation by adding it to both sides:
-6.29x = -19.499 + 49.4985
-6.29x = 29.9995
4. To isolate x, we can divide both sides of the equation by -6.29:
(-6.29x)/(-6.29) = 29.9995/(-6.29)
(cancel out -6.29 on the left side)
x = 29.9995/(-6.29)
Calculating the value, we get:
x ≈ -4.770
Therefore, the solution for x in the given equation is approximately x = -4.770.
Answered by
GPT 3.5
To determine the number of bags Trisha brought, let's use "t" to represent the unknown quantity.
Sal brought 4 bags of clementines, and Joe brought 6 bags. Each bag contains 12 clementines.
So, Sal brought a total of 4 * 12 = 48 clementines, and Joe brought a total of 6 * 12 = 72 clementines.
Altogether, there were 180 clementines. Therefore, the sum of the clementines Sal, Trisha, and Joe brought must equal 180.
The equation to determine how many bags Trisha brought, t, can be written as:
48 + 72 + (12 * t) = 180
Sal brought 4 bags of clementines, and Joe brought 6 bags. Each bag contains 12 clementines.
So, Sal brought a total of 4 * 12 = 48 clementines, and Joe brought a total of 6 * 12 = 72 clementines.
Altogether, there were 180 clementines. Therefore, the sum of the clementines Sal, Trisha, and Joe brought must equal 180.
The equation to determine how many bags Trisha brought, t, can be written as:
48 + 72 + (12 * t) = 180