Answer:
1: 7x+19=40
2: 19+7x=40
Step-by-step explanation:
Answer:
(A) 509.78
We need to move the decimal point after the first non-zero digit
So,
=> 5.0978 × 10² (Since the decimal point is moved two places to the left)
(B) 0.0289
Again after the first non-zero digit:
So, it becomes:
=> 2.89 × 10⁻² (Since the decimal point is moved 2 places to the right so it will be negative also)
Answer:
10 weeks
Step-by-step explanation:
Let's set an equation for you and your brother.
You have $90 plus $18 for every week you save (x).
90+18x
And your brother has $120 plus $15 dollars per week that he saves (x)
120+15x
You want to have the sum of the money equal so combine the two concluded statements
90+18x=120+15x
Arrange them so that you have like terms on each side
90+18x-15x=12+15x-15x
90+3x=120
90-90+3x=120-90
3x=30
x=10
"x" is our number of weeks you and your brother save so the answer is 10 weeks
Just to be sure you can use our equation and plug 10 for every time you see x to make sure our answer is right.
Answer:
10,20,40
Step-by-step explanation:
They all have a factor of 2,10, and 1
<h3>
Answer:</h3>
Any 1 of the following transformations will work. There are others that are also possible.
- translation up 4 units, followed by rotation CCW by 90°.
- rotation CCW by 90°, followed by translation left 4 units.
- rotation CCW 90° about the center (-2, -2).
<h3>
Step-by-step explanation:</h3>
The order of vertices ABC is clockwise, as is the order of vertices A'B'C'. Thus, if reflection is involved, there are two (or some other even number of) reflections.
The orientation of line CA is to the east. The orientation of line C'A' is to the north, so the figure has been rotated 90° CCW. In general, such rotation can be accomplished by a single transformation about a suitably chosen center. Here, we're told there is <em>a sequence of transformations</em> involved, so a single rotation is probably not of interest.
If we rotate the figure 90° CCW, we find it ends up 4 units east of the final position. So, one possible transformation is 90° CCW + translation left 4 units.
If we rotate the final figure 90° CW, we find it ends up 4 units north of the starting position. So, another possible transformation is translation up 4 units + rotation 90° CCW.
Of course, rotation 90° CCW in either case is the same as rotation 270° CW.
_____
We have described transformations that will work. What we don't know is what is in your drop-down menu lists. There are many other transformations that will also work, so guessing the one you have available is difficult.