Answer:
x + y = 50 (1) and 2x + 3y = 115 (2); x = 35, y = 15
Step-by-step explanation:
Since x represents the number of 2 point shots and y represents the number of 3 point shots. If the total number of shots is 50, then x + y = 50 (1)
Also, the total 2 point shots is number of 2 point shots × points per shot = 2x and the total 3 point shots is number of 3 point shots × points per shot = 3y. Since the total number of points is 115, then
2x + 3y = 115 (2)
So, the system of equations are
x + y = 50 (1) and 2x + 3y = 115 (2)
We can solve for x and y by substituting x = 50 - y into (2)
So, 2(50 - y) + 3y = 115
100 - 2y + 3y = 115
100 + y = 115
y = 115 - 100
y = 15
So, x = 50 - y
= 50 - 15
= 35
X=length
y=width
Area (rectangle)=length x width
we suggest this system of equations:
y=x/5
xy=9/20
solve this system of equations by substitution method:
x(x/5)=9/20
x²/5=9/20
Least common multiple=20
4x²=9
x²=9/4
x=⁺₋√(9/4)
we have two solutions:
x₁=-3/2 it does not validate
x₂=3/2 ⇒y=x/5=(3/2)/5=3/10
The dimensions of the lake are:
lengh=3/2 miles
width=3/10 miles
to check:
Area=3/2 miles x 3/10 miles=9/20 miles².
width is 1/5 the length of the lake ⇒ 3/10 miles=(3/2) /5 miles
Getting 10% a month is the best option if she put $500 in. That would be $50 the first month. $55 the second month etc. -- which would be more than the $500 in answer 1.
Answer:
The correct answer is the number in the note is 80 and the first digit is 8.
Step-by-step explanation:
Dr. Green finds a note from another scientist. It says how many boxes of bug nets they should bring, but there is a smudge over the first digit of the number.
Number of nets that they must bring is 320.
Each box contains 4 nets.
There number of boxes necessary to be brought is given by 
= 80.
Therefore the missing digit of number the number in the note is 8.
Answer:
0.8333
Step-by-step explanation:
2/3 + x
x + 2/3
x + 2/3 = 3/2
x + 2/3 - 3/2 = 0
2/3 - 3/2 = 4/6 - 9/6 = - 5/6
x - 5/6 = 0
use linear function
f(x) - ax + b
f(x) = x - 5/6
a = 1
b = - 5/6
x- 5/6= 0
x = 5/6
x = 0.8333
