Answer:
528:22
Step-by-step explanation:
528 students : 22 teachers
∧
To
The ratio of students to teachers at San Jacinto Middle School is 264 : 11, which means for every 11 teachers, there are 264 students.
The subject of the question is Mathematics and it pertains to the concept of ratios. Ratios are used to compare two or more numbers. In this context, we are given the total number of students and teachers at San Jacinto Middle School and asked to find the ratio of students to teachers. To calculate this, we divide the number of students by the number of teachers.
Here's how you do it step-by-step: The school has 528 students and 22 teachers. So, the ratio would be 528 : 22. This ratio can be simplified by dividing both numbers by their greatest common divisor, which is 2 in this case. Hence, the simplified ratio is 264 : 11.
So, the ratio of students to teachers at San Jacinto Middle School is 264 : 11. This means for every 11 teachers, there are 264 students.
#SPJ12
- The pesticide DDT has a half-life of 15 years.
- March Madness has 64 teams in the bracket. Each round, half the teams are eliminated.
- After an antibiotic is added to a culture of bacteria, the number of bacteria is reduced by half every three hours.
- A tree frog population doubles every three weeks.
Answer: the correct ones are
B “ The pesticide DDT has a half live of 15 years”
C “March madness has 64 teams in the bracket. Each round, half the teams are eliminated” and
D “After an antibiotic is added to a culture of bacteria, the number of bacteria is reduced by half every three hours”
3 times 5 equals 15.
The numbers that satisfy both conditions are 3 and 5.
To find two numbers that multiply to 15 and add up to positive 2,
we can use algebraic reasoning.
Let the two numbers be x and y.
We know that:
x * y = 15 (they multiply to 15).
x + 2 = y (they add up to positive 2).
Now we can use these two equations to solve for x and y.
From equation (2), we can express y in terms of x:
y = 2 + x
Now, substitute this expression for y into equation (1):
To factor the quadratic equation, we need to find two numbers whose product is -15 and whose sum is 2.
The two numbers are 5 and -3.
So, we can rewrite the equation as:
(x + 5)(x - 3) = 0
Set each factor to zero and solve for 'x'.
x + 5 = 0 or x - 3 = 0
For the first factor:
x + 5 = 0
x = -5
For the second factor:
x - 3 = 0
x = 3
we can see that the two numbers that multiply to 15 and add up to 2 are 3 and 5.
3 * 5 = 15
3 + 5 = 8
So, the numbers that satisfy both conditions are 3 and 5.
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#SPJ6
B. 2.25 inches
C. 18 inches
D. 9 inches