Answer:
The independent variable (x) is the amount of time John fixes a computer. The dependent variable (y) is the amount, in dollars, John earns for a computer.
y-intercept: (0,50)
Slope: 45
Answer:
0.857 miles in 1 hour
Step-by-step explanation:
It is given that,
A crew of highway workers paved 12 mile in 14 hour.
We need to find how much will they pave in 1 hour if they work at the same rate.
14 hours = 12 miles
To find how much they pave in 1 hour, we must divide 12 by 14 as follows :
Hence, they pave 0.857 miles in 1 hour.0.857 miles in 1 hour.
Answer:
h=14
Step-by-step explanation:
So since the triangular shape is a right triangle, we can use a Pythagorean triple. For this question, lets use (5,12,13). But, if you just want to use the formula:
5^2+x^2=13^2
25=x^2=169
x^2=144
x=12
That means a part of h is 12. BUT, we also have an extra two ft on top of the triangle, so h=12+2=14.
Answer:
- the largest number that cannot be made is 23
- see below for an explanation
Step-by-step explanation:
<em>Why numbers greater than 23 can be made</em>
From any number that Larry can make that includes an appropriate number of stamps, Larry can ...
- add 1 by adding 1×9 and taking away 2×4
- add 2 by adding 2×9 and taking away 4×4
- add 3 by adding 3×9 and taking away 6×4
- add 4 by adding 1×4
- add 5 by adding 4 and 1 (add 9, take away 4)
- add 6 by adding 4 and 2 (add 2×9, take away 3×4)
- add 7 by adding 4 and 3 (add 3×9, take away 5×4)
- add 8 by adding 2×4
- add 9 by adding 1×9
Clearly, for Larry to be able to continue adding any number, he must start with a number that contains at least 6×4 cents = 24 cents.
Larry can make 24 cents from 6 4-cent stamps. Using the above table, he can add any amount to that.
___
<em>Why 23 cannot be made</em>
For 23 cents, the number of stamps must include 0, 1, or 2 9-cent stamps, so there are 3 cases to try for making 23:
- 23 cannot be made from 0 9-cent stamps because 23 is not divisible by 4
- 23 cannot be made using 1 9-cent stamp, because 14 is not divisible by 4
- 23 cannot be made using 2 9-cent stamps, because 5 is not divisible by 4.
Therefore, 23 cannot be made.
Given:
The line passes through the points (8,-4) and (6,2).
To find:
The slope of the line.
Solution:
If a line passes though two points 
, then the slope of the line is
The line passes through the points (8,-4) and (6,2). So, its slope is
Therefore, the slope of the line is -3.
