2(a+3)+3(2a-1)
=2a+6+6a-3
=8a+3
1/5 of 20 is $4. So, 20-4=$16 remaining.
3/8 of 16 is $7.50. So, 16-7.50= $8.50 remaining.
2/7 of 8.5 is $2.43. So, 8.50-2.43 is $6.07
Answer: Ken has $6.07 left after all his purchases.
Answer:



Step-by-step explanation:
Given


maximum
minimum
Required
Solve graphically
First, we need to determine the inequalities of the system.
For number of coins, we have:
because the number of coins is not less than 20
For the worth of coins, we have:
because the worth of coins is not more than 0.80
So, we have the following equations:


Make y the subject in both cases:


Divide through by 0.01



The resulting inequalities are:


The two inequalities are plotted on the graph as shown in the attachment.
--- Blue
--- Green
Point A on the attachment are possible solutions
At A:

Answer: find the answer in the explanation.
Step-by-step explanation:
To use the Pythagorean theorem to prove if a triangle with the side lengths 7,14,28 is a right triangle, you will square 7 and add it to the square of 14. The square root of the sum will be equal to 28 if it is a right angle triangle. Otherwise, it is not.
(7^2 + 14^2) = 49 + 196
245
Find the square root of 245
Square root = 15.65
Since it is not 24, the triangle is not a right angle triangle.
Answer:
Step-by-step explanation:
using pythagoras theorem
a^2+b^2=c^2
7^2+KL^2=25^2
49+KL^2=625
KL^2=625-49
KL=
KL=24
take M as reference angle
using tan rule
tan M=/opposite/adjacent
tan M=KL/ML
tan M=24/7