Answer:
46
Step-by-step explanation:
Let 
represent a number with 
in the ten's position and 
is the one's position.
This means actually has value of 
.
We are given the sum of those digits of is 10; this means 
.
It says if 18 is added to the number , then the result is 
.
So has value and
has value 
.
We are given then:
Subtract 
on both sides:
Simplify:
Subtract on both sides:
Divide both sides by 9:
Rearrange by commutative property:
So the system of equations we want to solve is:
-------------------------Add equations together (this will eliminate the variable and allow you to go ahead and solve for :
Divide both sides by 2:
Simplify:
If and , then 
. since 4+6=10.
So the original number is (46).
18 more than 46 is 18+46=(64) which is what we wanted.
We also have the sum of 4 and 6 is 10 as well.
Hey!
Hope this helps...
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The correct answers are A, B, D, and E
Answer:
A=42.5
Step-by-step explanation:
First you split this shape into a square and a triangle.
The area of the square is 5✖️5=25.
Then, there is a triangle left.
We do not know about the hypotenuse, but the sides are 5 and 7.
5✖️7=35/2<-- because it is a triangle. =17.5
You add both areas, and you get the total of 42.5.
Hope this helps!
Answer:
19
Step-by-step explanation:
19 x 2 = 38
Twice a quantity usually indicates to take two of the things in question; usually this indicates to multiply by 2. Thus "twice a number x" can be written symbolically as 2x. If this is part of a problem, say twice a number x is 6, then we can rewrite algebraically as 2x=6; dividing both sides by 2 yields x=3.
Answer:
C (x, y) -> (x + 7, y + 8); scale factor = 3
Step-by-step explanation:
The translation can be found by subtracting the coordinates of the original center from those of the center of the image. The scale factor will be the ratio of the radii.
__
<h3>translation</h3>
We note the center coordinates are I(-3, -6) and I'(4, 2). Then the translation is ...
I' -I = (4, 2) -(-3, -6) = (4 +3, 2 +6) = (7, 8)
(x, y) ⇒ (x +7, y +8)
<h3>scale factor</h3>
The radius of each circle can be found by counting the grid squares from the center to the circle. It works best to do this along a horizontal or vertical line.
The radius of circle I is 2; the radius of circle I' is 6. The scale factor is ...
scale factor = 6/2 = 3
