Answer:
x = 1.5
y = 3
Step-by-step explanation:
to solve this system of equation using the substitution methods we say let
2x+3y=12................................... equation 1
y=x+1.5..................................... equation 2
substitute equation 2 into equation 1
2x+3y=12................................... equation 1
2x + 3( x + 1.5) = 12
2x + 3x + 4.5 = 12
5x + 4.5 = 12
collect the like terms
5x = 12 - 4.5
5x = 7.5
divide both sides by the coefficient of x which is 5
5x/5 = 7.5/5
x = 1.5
put x = 1.5 into equation 2
y=x+1.5..................................... equation 2
y = 1.5 + 1.5
y = 3
therefore the value of x = 1.5 and y = 3 respectively.
Answer:
2794 m^2
Step-by-step explanation:
Area of Triangle - Area of Circle
1/2bh - piR^2
4050 - 1256
= 2794
<span>We should find out the equation that represents the number of drinks Fiona can serve. We know X as the number of glasses of iced tea and Y as the number of glasses of lemonade.
Fiona can serve both of them. She has 44 cups.
</span><span>The equation is:
X+Y=44
the constraint is: X and Y must be positive numbers.
</span>
Answer is A and C
..............................
Answer: 3, 6, 9, 12
Step-by-step explanation:
A geometric progression has a common ratio.
2,6, 18 and 54 has a common ratio of 3. When you multiply the first number by 3, you get the second number and the same thing applies to the third number.
1, 5, 25 and 125 has a common ratio of 5. When you multiply the first number by 5, you get the second number and the same thing applies to the third number.
4, 8, 16 and 32 has a common ratio of 2. When you multiply the first number by 2, you get the second number and the same thing applies to the third number.
3, 6, 9 and 12 is an arithmetic progression as 3 is added to each number
