Answer:
1. I am not sure about the first one. I tried everything and nothing I got from any of my work is looking right.
2. AB = 5
3. 8
Answer:
1. n + 4
2. x(n) + 4
Step-by-step explanation:
The two solutions were arrived at based on the following :
1. The total number of fruit, irrespective of the kind or type.
In this case, let the number of fruit be n.
Adding 4 peaches gives: n + 4 fruits.
2. The second expression takes into account the peaches only.
This times around, let the total fruits be n.
The number of peaches in the basket can be given as a fraction. Let the fraction be <em>x</em>
The number of peaches is the fraction of peaches multiplied by the total number of fruit like this: <em>x</em>n
However, 4 peaches are added, therefore, the total number will be <em>x</em>n+4
This figure denotes the number of peaches in the basket.
Answer:
He should work 
hours in overtime.
Step-by-step explanation:
Let x represents the number of hours of regular time and y represents the number of hours of overtime,
Since, earnings are $24 per hour for regular time and $36 per hour for overtime,
Thus, total earning = (24x + 36y) dollars,
Here, x = 40 hours and total earning = $ 1200,
By substituting the values,
1200 = 24(40) + 36y
1200 = 960 + 36y
240 = 36y
⇒ 
Hence, he should work hours in overtime.
Answer:
The correct answer is 218 math textbooks and 259 sociology textbooks.
Step-by-step explanation:
To solve this problem, we can make a system of equations. Let the number of sociology textbooks sold be represented by the variable "s" and the number of math textbooks sold be represented by the variable "m". Using these variables, we can make two equations:
s + m = 477
m + 41 = s
There are many ways to solve this system of equations. One approach we can take is substituting the value for s given by the second equation into the first equation. This is modeled below.
s + m = 477
(m + 41) + m = 477
Combining like terms on the left side of the equation yields:
2m + 41 = 477
Subtracting 41 from both sides of the equation gives us:
2m = 436
Finally, dividing both sides of the equation by 2 gives us:
m = 218
To solve for the number of sociology textbooks, we can substitute into either of our original equations.
m + 41 = s
(218) + 41 = s
s = 259
Therefore, your answer is m = 218 and s = 259, or 218 math textbooks and 259 sociology textbooks were sold.
Hope this helps!
Answer:
7.5
Step-by-step explanation:
