The sum of half of a number and three-fourths is at least five and one quarter.
It's all about making sense of an English statement. "half the sum" and "the sum of half" are two distinct expressions.
Additionally, "at least" and "not less than" have equivalent meanings, as do "not more than" and "at most."
It is an issue of matching the thoughts conveyed because all of the expressions are verbally expressed. That is a reading comprehension issue, not a math issue.
"A number is at least five and one quarter when divided by half and three-fourths."
In mathematics, a statement with unequal sides is referred to as an inequality. When a link leads to a non-equal comparison between two expressions or two numbers, it is referred to as an inequality in mathematics.
In this case, the equal sign "=" is replaced with any of the inequality symbols, such as greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠). There are numerous types of inequalities that can exist in mathematics, including absolute value inequality, rational inequality, and polynomial inequality.
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Answer:
11 ≤ n
Explanation:
More than indicates the minimum value, so you use the greater than or equal to.
The above answer is written in reverse, which the exact same result.
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Remark
She starts out with x
She spends 10 dollars paying back her brother (that's - 10)
She spends 30 dollars on fuel (that - 30)
She spends 1/2 what's left on a tent ( that's 1/2 (x - 10 - 30) )
She then spent 29.45 on running shoes. 1/2 (x - 10 - 30) + 29.45 is her expenditures.
After all that she has 17.75 left.
Equation
x - 10 - 30 - 1/2(x - 10 - 30) - 29.45 = 17.75
Solve
Begin by adding 29.95 to both sides.
x - 10 - 30 - 1/2(x - 10 - 30) = 17.75 + 29.45
x -10 - 30 - 1/2(x - 10 - 30) = 47.20 Add the like terms on the left.
x - 40 - 1/2(x - 40) = 47.20 Add 40 to both sides. Don't go inside the brackets.
x - 1/2x + 1/2 (40) = 87.20
1/2 x + 20 = 87.20 Subtract 20 from both sides.
1/2 x = 67.20 Multiply by 2
x = 134.40
The area of the trapezoid is x+11 cm.
Given a trapezoid has one side of (x+6) cm, the other side is 5 cm, and the height is 2 cm.
A two-dimensional quadrilateral consisting of the sum of non-adjacent parallel sides and a suitable non-parallel side is denoted as a trapezoid.
Now we will use the formula to find the area of a trapezoid
Area = 1/2 × (base 1 + base 2) × height
Here base 1 = (x+6) cm, base 2 = 5cm and height = 2cm
Substituting the values into the formula, we get
Area = 1/2 × (x+6+5) × 2
Area = 1/2 × (x+11) × 2
Area = x+11
Thus, the area of the given figure when one side is x+6, the other side is 5 cm and the height is 2 cm is x+11 cm.
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Answer:
95% Confidence interval: (0.73,0.79)
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 1021
Percentage of Americans believe that high achieving students should be recruited to become teachers
95% Confidence interval:
Putting the values, we get:
