Answer:
Rational
Step-by-step explanation:
Repeating decimals can be represented as a ratio of two integers.
Answer:
9 x + 8 y = 10 (I)
y = -4x + 7 (II)
One way is to rewrite the second as
4x + y = 7
Now multiply this equation by 8
32 x + 8 y = 56
9 x + 8 y = 10 and now subtract the equations
23 x = 46 this gives x as 2
From equation (II) y = -4 (2) + 7 = -1
So our values are (2, -1)
Check:
(I) 9 x + 8 y = 10 9 * 2 - 8 = 10
(II) 4 x + y = 7 or 4 * 2 - 1 = 7
Or you can substitute equation (II) directly into equation (I)
Answer:
Take out the area of the full circle first:
A= pi r^2
A= 3^2 x pi
A= 28.274 cm3
Area of smaller cirlces:
A= pi r^2
A= 1^2 x pi
A= 3.14159
Multiply by 2 as 2 circles: 6.28318
Substract unshaded from shaded: 28.274-6.28318
Area of shaded is 21.99082 cm3
Step-by-step explanation:
Answer:
Jamie has 44 pairs of shoes
Step-by-step explanation:
Let
Jamie= x pairs of shoes
Suzie= 33 less than twice the amount of shoes Jamie has
2x - 33 = 55
Solve:
2x - 33 = 55
Collect like terms
2x = 55 + 33
2x = 88
Divide both sides by 2
2x / 2 = 88 / 2
x = 44
Jamie = x = 44 pairs of shoes
Therefore, Jamie has 44 pairs of shoes
Answer:
Step-by-step explanation:
9y = -4x + 6
y = -4/9x + 2/3