Answer:
The numbers are 18, 13, and 72.
Step-by-step explanation:
Let the three numbers be represented by <em>a, b</em>, and <em>c</em>.
The sum of the three is 103. Thus, we can write that:
The second number is five less than the first. So:
And the third number is four times the first. So:
Substitute:
Solve for <em>a</em>. Combine like terms:
Add five to both sides:
And divide both sides by six. Therefore:
So, the first number is 18.
Since the second number is five less than the first, the second number is 13.
And since the third number is four times the first, the third number is 72.
3d = 255
d = 85
d85 = x
d is the number of days, x is the amount of earnings.
5(85) = x
425 = x
Functions 6 and 7 are linear, 8 is not. This means 6 and 7 have a degree of 1. Since 8 is a quadratic, it has a degree of 2.
The slope is 1 for function 6 and 5 for function 7. Remember, in slope-intercept format, linear equations are written as y=mx+b. X and Y stand for coordinates you can plug in, m represents the slope of the line, and b represents the y-coordinate of the function’s y-intercept. I assume you are familiar with these terms so I won’t explain them.
Number 9 is linear, and you can tell because f(x), which is the output, increases with a constant difference as x increases by 1. In other words, the delta y and delta x is the same between all points.
Number 10 is clearly not linear, because two different x values have the same y value. This is a parabola.
I recommend you graph some of these functions for practice, so you can visualize it better. Imagine the functions as machines. You input a number (x) and you get a number out (y).
For example, in the function f(x)=3x+5, I can input any x, let’s take x as 6, and when I plug it in, I’ll get an output, f(x). 3(6)+5=18+5=23. So my f(x)=23 when x is 6.
Answer:
14t + 58 ≤ 150
Step-by-step explanation:
If she cannot spend more than what she has, which is 150, the inequality sign has to be "less than or equal to". It's ok if she spends less than 150, but not ok if she spends more, because she doesn't have it to spend.
We know the cost of 1 pair of jeans is 58. Now she wants to make up the difference by getting as many $14 shirts as possible (the number of shirts being our unknown).
That means that the cost of the jeans PLUS the unknown number of shirts cannot exceed 150.
Therefore, the inequality is:
14t + 58 ≤ 150
Answer:
14 4/9 cans
Step-by-step explanation:
We need to add the cans used on Saturday and Sunday
10 7/9 + 3 4/6
We can simplify the fraction 4/6 by dividing the top and bottom by 2
10 7/9 + 3 2/3
To add, we need the fractions to have a common denominator of 9
10 7/9 + 3 2/3*3/3
10 7/9 + 3 6/9
Add the whole numbers 10 +3 = 13
Add the fractions 7/9 + 6/9 = 13/9
13/9 = 1 4/9
Move the whole part of the fraction to the whole numbers
13 + 1 + 4/9
14 4/9
