Answer:
(-3,-6) and (-3,2)
Step-by-step explanation:
A line with an undefined slope is vertical. In this case it must have x coordinates equal to -3
Answer:
The answer to your question is Katie had 15 rocks and Oliver 45 rocks.
Step-by-step explanation:
Conditions
Katie has x amount of rocks
Oliver has 3x amount of rocks
The final amount of rocks
Oliver = 3x + 75
Katie = x + 105
Now, they have the same amount of rocks, then we can equal both equations
3x + 75 = x + 105
Solve for x
3x - x = 105 - 75
2x = 30
x = 30/2
x = 15
Conclusions
At first Katie had 15 rocks and Oliver had 3(15) = 45 rocks
Answer:
7.5 miles per hour
Step-by-step explanation:
Average Speed = Total Distance/Total Time
= 7.5 miles/hour
Answer from Gauthmath
9514 1404 393
Answer:
- 12 boxes
- 10 pencils, 9 notebooks
Step-by-step explanation:
a) The number of boxes will be the greatest common divisor (GCD) of the numbers 120 and 108. That number is 12.
120 = 12×10
108 = 12×9 . . . . 12 is the greatest common divisor
Matthew can make 12 boxes with equal numbers of the items.
__
b) 120 pencils divided by 12 will be 10 pencils per box.
108 notebooks divided by 12 will be 9 notebooks per box.
_____
<em>Additional comment</em>
It helps to be familiar with multiplication tables up to about 12×12.
The GCD can always be found using Euclid's algorithm. Look at the remainder when the larger number is divided by the smaller. If it is not zero, then replace the larger number with the remainder and repeat. If the remainder is zero, the divisor is the GCD.
Here, we have ...
120/108 = 1 r 12.
108/12 = 9 r 0 ⇒ 12 is the GCD
