This is a very interesting problem. What makes it so interesting is that
there's so little actual math to it. The only big Math thing you need to know
in order to work with this question is the definition of "perimeter".
"Perimeter" means
"the distance all the way around the edge of something".
The problem GIVES you the length of all the sides of both triangles.
To find the perimeter of one triangle, just take the lengths of its three
sides and addum up.
The perimeter of the blue one is (7x+7) + (5x-4) + (4x+2) .
That's it ! That's the perimeter. Of course, they want you to write
it in simplest form, so you have to clean it up. Remove all of the
parentheses, add up all the 'x's, and add up all the plain numbers,
and you'll have a short, pretty expression.
Then do the same thing for the red one, and get its perimeter.
In part-b, they want you to find the difference between the two perimeters.
No problem. Just write (the blue perimeter) minus (the red perimeter),
and simplify THAT expression.
Now they want the actual perimeters when 'x' is 3.
No big deal. Just take each separate perimeter, write '3' in place of 'x',
and find the number that the expression becomes.
Just now, looking at the picture without writing anything down,
I got 53 for the blue one and 17 for the red one.
I could easily be wrong, so you definitely have to work them
out for yourself.
Answer:
40 sandwiches
Step-by-step explanation:
egg sandwiches : tuna sandwiches
2 : 3
Multiply by x because we do not know how many sandwiches, just the ratio
2x : 3x
Add 15 tuna sandwiches
2x : 3x+15
Now the ratio is 1:3
egg sandwiches : tuna sandwiches
1 : 3
Multiply by y because we do not know how many sandwiches, just the ratio
y : 3y
Set the number of egg sandwiches equal
2x =y
then set the number of tuna sandwiches equal
3x+15 = 3y
We know have a system of 2 equations and 2 unknowns
Substitute y =2x into the second equation
3x+15 = 3(2x)
Distribute
3x+15 = 6x
Subtract 3x from each side
3x-3x+15 = 6x-3x
15 =3x
Divide by 3
15/3 = 3x/3
5 =x
egg sandwiches : tuna sandwiches
2 : 3
Multiply by x because we do not know how many sandwiches, just the ratio
2x : 3x
2*5 3*5
10 15
He originally made 10 egg sandwiches and 15 tuna sandwiches
Then he made 15 more tuna sandwiches
The total number of sandwiches he made is
10+15+15 = 40 sandwiches
Answer: $69811
Step-by-step explanation:
Given : A survey organization, as part of the United States Census Bureau, conducts a yearly census similar to the one taken every ten years, but with a smaller percentage of participants.
One of these surveys estimates with 90% confidence that the mean household income in the U.S. falls between $69,702 and $69,920. (1)
We know that the confidence interval is given by :-
Point estimate of mean ± Margin of error
From (1) , we have
Point estimate for mean -Margin of error = $69,702 (2)
Point estimate for mean +Margin of error = $69,920 (3)
Add (2) and (3), we get
2 (Point estimate for mean) = $139622
Divide both sides by 2, we get
Point estimate for mean=$ 69811
Therefore , the point estimate for mean U.S. household income. = $ 69811
Answer:
There is something already at the positive 2 place and you are just subtracting 2 because of (-2)
I hope that helps :)
Step-by-step explanation:
plz mark B R A I N L I E S T
Answer:
1=x or x=1
Step-by-step explanation:
3(x+2)-10=4x-6+x
distribute
3x+6-10=4x-6+x
combine like terms
3x-4=5x-6
subtract 3x from each side
-4=2x-6
add 6 to both sides
2=2x
divide by 2
1=x or x=1
