Answer:
The percent increase in the perimeter is 337.5%
Step-by-step explanation:
The easiest way to approach this problem is by using consecutively the simple rule of three.
If the first triangle has sides of length two then, we can compute the second triangle's sides length as follows:
2 units------100%
X units------150%
this way
.
Now for the third triangle we repeat the same process
3 units------100%
X units------150%
getting that the length of the sides for the third triangle is
.
Now for the last triangle we repeat the same process
4.5 units------100%
X units------150%
getting that the length of the sides for the last triangle is
.
Now, we need to know the perimeter of the first and last triangle. This can be calculated as the sum of the length of the sides of the triangle.
For the first triangle
and for the last triangle
.
To compute the percent increase in the perimeter from the first to the fourth triangle we will use one last simple rule of three (this time the percentage will be the variable)
6 units------100%
20.25 units------X%
so
.
Answer:
a) 3x - 11
b) 10x + 4
Step-by-step explanation:
a) The negative sign before the (x+5) means to subtract those values. Reverse the signs. Then combine like terms:
4x –6 –x –5. 4x–x–6–5
3x –11
b) Put all the x terms together.
Put all the integers together.
Add. Adding a negative is the same as subtracting.
4x+x+5x = 10x
+6-2 = 4
Combine them:
10x + 4
Answer:just do 23 minus 6 and that should be the answer because the y-ccordinate is in the same place
Step-by-step explanation:
Answer:
B) 1/x^2
Step-by-step explanation:
Simplify the following:
x^9/x^11
Hint: | For all exponents, a^n/a^m = a^(n - m). Apply this to x^9/x^11.
Combine powers. x^9/x^11 = x^(9 - 11):
x^(9 - 11)
Hint: | Evaluate 9 - 11.
9 - 11 = -2:
Answer: x^(-2) = 1/(x^2)
Answer: the answers are below
Step-by-step explanation:
1 meal = 2/3 of a can of wet dog food, 1/8 of a bag of dry dog food, and 3/5 a patty of special meat
Food for 1 day: 2 meals = 2(2/3) = 4/3 of a can of wet dog food, 2(1/8) = 1/4 of a bag of dry dog food, and 2(3/5) = 6/5 a patty of special meat
The trainer goes to the store and buys 24 cans of wet food, 4 bags of dry food and 3 packages of meat (3*6 = 18 patties)
He has:
there is wet food for: 24/(4/3) = 24*3/4 = 18 days
there is dry food for: 4/(1/4) = 4*4 = 16 days
there is special meat food for: 18/(6/5) = 18*5/6 = 15 days
since the minimum for 15, 16 and 18 is 15 the dog will have food for 15 days and first he will run out of special meat.
