1/3 of all students bring lunch
2:3 is the ratio of students who bring their lunch to the number of students who do not
Answer:
400,000
Step-by-step explanation:
The given sum is 164,215+216,088
We simplify this to get:
164,215+216,088=380,303
The digit at the hundred thousand position is the rightmost 3.
The digit after it is 8.
Since 8≥5 we round up.
We add 1 to 3 to get 4 and replace all digits to the right with zeros.
We round to the nearest hundred thousand to get:
400,000
Answer:
x = 1 or x = -5
Step-by-step explanation:
We are given;
- The quadratic equation, x² + 4x - 13 = -8
We are required to solve the equation using the completing square method.
To do this, we use the following steps;
Step 1: We make sure the coefficient of x² is one
x² + 4x - 13 = -8
Step 2: Combine the like terms (take the constant term to the other side)
x² + 4x - 13 = -8
x² + 4x = -8 + 13
we get
x² + 4x = 5
Step 3: We add the square of half the coefficient of x on both sides of the equation
Coefficient of x = 4
Half of coefficient of x = 2
Square of half the coefficient of x = 2² (4)
We get;
x² + 4x + (2²) = 5 + (2²)
Step 4: Put x and 2 under one square and the solve the other side of the equation.
We get
(x + 2)² = 5 + 4
(x + 2)² = 9
Step 5: Get the square root on both sides of the equation;
(x + 2)² = 9
√(x + 2)² = ±√9
(x + 2)= ±3
Therefore;
x+2 = + 3 or x + 2 = -3
Thus, x = 1 or -5
The solution of the equation is x = 1 or x = -5
Answer:
4√6
Step-by-step explanation:
The line marked x meets the base of the isosceles triangle at its midpoint, so dividing the triangle into two congruent right triangles with leg 5 and hypotenuse 11.
The Pythagorean theorem can be used to find x:
5² + x² = 11²
x² = 121 -25 . . . . . . subtract 25 from both sides of the equation
x = √96 . . . . . . . . . take the square root
x = 4√6 . . . . . . . . . simplify the radical
The total outcomes of creating a password is 20
<h3>How to determine the total outcomes creating different passwords with the given characters and numbers?</h3>
The given parameters are
Letters = 3
Digits = 5 digits i.e 0, 2, 4, 6, or 8.
From the question, the digits and the letters cannot be repeated.
So, we have:
Possible letters = 3 characters (position fixed)
Digits = 2 numbers
So, the total outcomes of creating different passwords is
Total = 1 * 1 * 1 * 5 * 4
Evaluate the product
Total = 20
Hence, the total outcomes of creating a password is 20
Read more about combination at:
brainly.com/question/11732255
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