Answer:
Look below
Step-by-step explanation:
A.
8 + 9 + 10 = 27
9 + 10 + 11 = 30
10 + 11 + 12 = 33
B. Every answer is divisible by 3, every consecutive answer is also 3 more than the one before it.
C. Yes
19 + 20 + 21 = 60
D. No
8 is not divisible by 3. Also, the closest you can get is 6 (1 + 2 + 3) or 9 (2 + 3 + 4).
I hope this helped! If you need anything else, let me know in the comments. :)
We know that
in the first triangle
the ratio of the legs are
4.5/1.5-----> 3
then
case <span>A) 6 m and 2 m ------> ratio=6/3----> 3
so
</span><span>the legs of a second triangle are proportional to the lengths of the legs of the first triangle
</span>case B) 8 m and 5 m ------> ratio=8/5---->1.6
so
the legs of a second triangle are not proportional to the lengths of the legs of the first triangle
case C) 7 m and 3.5 mm ------> ratio=7/3.5---->2
so
the legs of a second triangle are not proportional to the lengths of the legs of the first triangle
case D) 10 m and 2.5 m ------> ratio=10/2.5---->4
so
the legs of a second triangle are not proportional to the lengths of the legs of the first triangle
case E) 11.25 m and 3.75 m ------> ratio=11.25/3.75---->3
so
the legs of a second triangle are proportional to the lengths of the legs of the first triangle
the answer is
A) 6 m and 2 m
E) 11.25 m and 3.75 m
3(-3 + 5x) -1 (4 - 4x)
Simplify each term by first using the distributive property with each set of parenthesis:
3*-3 + 3*5x - 1*4 -1* -4x
Now do the multiplications:
-9 + 15x -4 + 4x
Combine like terms
15x +4x - 9 -4
19x - 13
Answer:
y = 8x
Step-by-step explanation:
The equation for any straight line is y= bx + c
b is equal to the gradient, meaning you have to draw a triangle (like in the image above)
You then divide 8 by 1 to get you the gradient which is what goes in front of x.
c is the y intercept which is where the line crosses into the y axis. In this case it is zero.
Answer:each album costs $7 and you buy x of them
cost of albums = 7x
each movie costs $8 and you have you have y of them
cost of movies = 8y
total cost is has to be less than $47
---> 7x + 8y < 47
sketch the graph of 7x + 8y = 47 , a straight line, and shade in the region below that line. Of course you would stay in the first quadrant, (x > 0, and y >0 , since you can't have negative number of movies and albums)
Since you can't buy partial albums and movies, both x and y have to be whole numbers.
So for solutions you would consider only ordered pairs that have whole numbers as their components.
e.g. (2, 2) or (1,5)
Step-by-step explanation: Hope this helps :)
