Answer:
28/9
Step-by-step explanation:
Answer:
3 1/9
Step-by-step explanation:
2 1/3 divided by 3/4
= 7/3 divided by 3/4
= 7/3 x 4/3
= 7 x 4 over 3 x 3
= 28 over 3 x 3
= 28/9
= 3 1/9
The property of this equation is the distributive property of multiplication over addition or subtraction.
The property of the equation -4x - 1/4 = 1 is called the distributive property of multiplication over addition or subtraction. Using this property, we can distribute the coefficient -4 to both terms inside the parenthesis. This gives us -4x - 4(1/4) = 1. Simplifying further, we have -4x - 1 = 1. To isolate the variable x, we can add 1 to both sides, which gives us -4x = 2. Finally, dividing both sides by -4, we find that x = -0.5.
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C. A survey of 70 teachers showed that 21 of them have a second job.
D. A survey of 80 teachers showed that 32 of them have a second job.
In math class, 4 students complete individual surveys to determine the percentage of high school teachers that have a second job. Which two surveys show proportional results?
A) A and B
B) B and D
C) A and D
D) B and C
Answer:
Correct option is:
D) B and C
Step-by-step explanation:
A. A survey of 110 teachers showed that 28 of them have a second job.
B. A survey of 90 teachers showed that 27 of them have a second job.
C. A survey of 70 teachers showed that 21 of them have a second job.
D. A survey of 80 teachers showed that 32 of them have a second job.
Percentage of teachers having second job is calculated by the formula:
So, percentage of second job teachers of survey A,B,C and D is:
A B C D
Percentage 25.45% 30% 30% 40%
Hence, two surveys that are proportional are
B and C
Hence, Correct option is:
D) B and C
1 root
2 roots
4 roots
5 roots
Answer:
Option 4 is correct that is according to fundamental theroem of algebra the given polynomial function will have 5 roots
Step-by-step explanation:
The fundamental theorem of algebra says that the polynomial will have the number of roots equal to the degree of the polynomial.
Degree is the highest power of polynomial.
Here we have given the polynomial where degree is 5.
Hence, the given polynomial will have 5 roots.
Therefore, option 4 is correct that is 5 roots
prime
composite
neither
Answer: Neither prime nor composite
Step-by-step explanation: Since 1 divides into 1 exactly one time, 1 is the only factor of one. Prime numbers are numbers that only have two factors and composite numbers are numbers with more than two factors. Since 1 only has 1 factor, we will call it neither prime nor composite.