Answer:
x=74 degrees
Step-by-step explanation:
2x^2 + 14x = -12
Step 1: Subtract -12 from both sides.
2x^2 + 14x - (-12) = -12 - (-12)
2x^2 + 14x + 12 = 0
Step 2: Factor the left side of the equation.
2(x + 1)(x + 6) = 0
Step 3: Set Factors equal to 0.
x + 1 = 0 or x + 6 = 0
x = -1 or x = -6
Answer:
x = -1 or x = -6
Hope this helps. : )
Answer:
216 muffins were ordered
Step-by-step explanation:
81/x = 37.5%/100%
divide 37.5 by 100
81/x = .375
multiply x to both sides
×(x)= ×(x)
81 = .375x
divide both sides by .375
÷.375 = ÷.375
216 = x
x = 216
x = 216
The 95% confidence interval for a population mean has a margin of error (E) of 41
The confidence interval for a population mean is given by:
Confidence interval = μ ± E = (μ - E, μ + E)
Where μ is the mean and E is the margin of error.
Since the confidence interval is (428, 510), hence:
μ - E = 428 (1)
μ + E = 510 (2)
Subtracting equation 1 from equation 2:
2E = 82
E = 41
μ - E = 428
μ -41 = 428
μ = 469
Hence the margin of error (E) is 41
Find out more at: brainly.com/question/10501147
Answer:
The students have eaten 72 ounces of fruit snacks.
X = 72 ounces
Step-by-step explanation:
There are total 20 packs of fruit snacks
The weight of each pack is 6 ounces.
Let us first find the total weight of the snacks.
Total weight = 6*20
Total weight = 120 ounces
Let X represents the ounces of fruit snacks that students have eaten.
Let Y represents the 48 ounces of fruit snacks left in the box
Total weight = X + Y
120 = X + 48
X = 120 - 48
X = 72 ounces
Therefore, the students have eaten 72 ounces of fruit snacks.
