Answer:
x=8 and y=3 (So, yes!)
Step-by-step explanation:
I will solve your system by substitution.
(You can also solve this system by elimination.)
−x+4y=4;−x+3y=1
Step: Solve −x+4y=4 for x:
−x+4y+−4y=4+−4y(Add -4y to both sides)
−x=−4y+4
-x/-1 = -4y+4/-1 (Divide both sides by -1)
x=4y−4
Step: Substitute 4y−4 for x in −x+3y=1:
−x+3y=1
−(4y−4)+3y=1
−y+4=1(Simplify both sides of the equation)
−y+4+−4=1+−4(Add -4 to both sides)
−y=−3
-y/-1 = -3/-1 (Divide both sides by -1)
y=3
Step: Substitute 3 for y in x=4y−4:
=4y−4
x=(4)(3)−4
x=8(Simplify both sides of the equation)
<u>Answer:</u>
x=8 and y=3
Answer: 0 in the 1-20 range, 1 in the 21-40 range, 3 in the 41-60 range, 2 in the 61-80 range, and 2 in the 81-100 range.
Explanation:
No change, 0 in the 1-20 range
33: 1 in the 21-40 range
43, 44, 52: 3 in the 41-60 range
75, 79: 2 in the 61-80 range
86, 89: 2 in the 81-100 range.
Answer:
The radius of circle O is 8.5 Units
Step-by-step explanation:
Solution
The radius of a circle is refereed to as the half of the diameter.
Now,
On how to figure out the length of AB, we apply the Pythagorean's equation or formula which is given below
Thus,
a² + b² = c²
(15)² + (8)² = c²
225 + 64 = c²
√289 = √c²
Then
c = 17
What this shows is that AB is 17 units.
Since we have gotten the diameter, the next step is to divide into half the know the radius value
Therefore,
17 ÷ 2 = 8.5 Units
= 8.5 Units.
Answer:
3.31 x 10^4
Step-by-step explanation:
3.111 x 10^4 is 31110
2 x 10^3 is 2000
31110 + 2000 = 33100 or 3.31 x 10^4
Step-by-step explanation:
1 dozen = 12 pears
12 pears = $36
1 pear = 36/12 = $3
Total Cost of Pears = No. of pears x price of 1 pear
= (5x12) x 3
= 60 x 3
= $180
Sale of Pears = Price per pear x (Total Pears bought - Rotten Pears)
= $4.50 x (5x12-7)
= $4.50 x 53
= $238.50
Profit/Loss = Sale of Pears - Total Cost of Pears
= $238.50 - $180
= $58.50
Ariana made a profit of $58.50.
