For the first one x=-2
For the second one x= -1/3
9514 1404 393
Answer:
(a) (4, 8)
Step-by-step explanation:
Apply the transformation rule to the coordinates of point H.
(x, y) → (x +8, y +5)
H(-4, 3) → H'(-4 +8, 3 +5) = H'(4, 8)
Answer:
Part A: The total is 57.58
Part B: 19.19 each
Step-by-step explanation:
Part A: 15(3) +3.50(3)=55.50
55.50 plus the 3.75% tip (not really addition i dont know how to find a percentage so i looked that part up) but it come out to $57.58
Part B: 57.58 divided by 3 is $19.19 ( I do 3 because Maria and 2 more friends)
Hope it helps and that it is 100% correct dont come at me if something is wrong with my math
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
7.6 is greater<span> than 55 squared</span>