First translate the English phrase "Four times the sum of a number and 15 is at least 120" into a mathematical inequality.
"Four times..." means we're multiplying something by 4.
"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.
"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.
So, the resulting inequality is 4(x + 15) ≤ 120.
Simplify the inequality.
4(x + 15) ≤ 120
4x + 60 ≤ 120 <-- Using the distributive property
4x ≤ 60 <-- Subtract both sides by 60
x ≤ 15 <-- Divide both sides by 4
Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.
In interval notation it would look something like this:
[15, ∞)
In set builder notation it would look something like this:
{x | x ∈ R, x ≤ 15}
It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".
I think it would be 25t but correct me if i’m wrong
N+(n+1) = 85. 2n+1=85, 2n=84. n=42. So the consecutive integers are 42 and 43, and the larger one is 43.
Answer:
Step-by-step explanation:
In No.1
First you find the total number of girls which is 56-20 =36 girls in total
So to get number of boys who watched tennis 20-13=7 boys watched tennis
To get number of girls who didnt watch you do 36-17=19 girls who watched
Then add o get the totals
No.2
First you get the total number of male 80-47=33 males
Next you find the number of females doing phyisics 33-19=14 females
Next you find the number of females doing chemistry by 47-(18 + 14)=15 females
To get the number of males diong chemistry 21-15=6 males
Number of males doing biology 33-(19+6)=8
Then find the remaining totals
2
No. 2 (b)
Because there is a high number of students doing physics and most of them are female
