In general the equation through (a,b) and (c,d) is
Can you see that this is a line and that both (a,b) and (c,d) are on it?
Here we're given (a,b)=(-6,-5) and (c,d)=(-4,-4)
Either of the last two are fine answers.
To make it easier, we’ll solve for x, as you do.
To get rid of 3, add 3 to both sides.
5x < 15
Now divide by 5.
x < 3
x is less than 3.
Some integers that satisfy this equation are:
2, 2.9, -10, and anything else below the number 3.
To start this problem, we know that one of the three pieces that the string is cut into is 15 meters longer than the others. Subtract 15 from 42 to get 27.
Then, from there, you can cut that number (<em>divide</em>) by three to get the length of the two shorter strings. Simply add the 15 meters you didn't use yet to one of the pieces to find the longer string, and you have your lengths.
Hope this helps!
-refrac532
Answer:
Your answer is correct in the image
there is no need to change that
Answer:
Carter family = 25 hours
Davis family = 31 hours
Step-by-step explanation:
Let's say the number of hours the Carter family used their sprinkler is x and the number of hours the Davis family used their sprinkler for is y.
So combined:
x + y = 45 hours
and we are also told that:
40x + 15y = 1300 L
So we can do simultaneous equations to solve the problem.
With some rearranging, we can figure out that:
y= 45 - x
and by substituting that into the second equation:
40x + 15 (45 -x) = 40x + 675 - 15x = 1300L
25x = 1300 - 675
25x = 625
x = 25 = hours that the Carter family used their sprinkler
and we can substitute that back into the original equation to find how many hours the Davis family used their sprinkler so:
25 + y = 56
y = 31
The Davis family used their sprinkler for 31 hours whilst the Carter family used their sprinkler for 25 hours.
