7) Write the decimal number as a fraction
(over 1)
2.18 = 2.18 / 1
Multiplying by 1 to eliminate 3 decimal places
we multiply top and bottom by 3 10's
Numerator (N)
N = 2.18 × 10 × 10 × 10 = 2180
Denominator (D)
D = 1 × 10 × 10 × 10 = 1000
N / D = 2180 / 1000
Simplifying our fraction
= 2180/1000
= 109/50
= 2 9/50
8)
<u>Answer:</u>
5.65 cm
<u>Step-by-step explanation:</u>
We are given that the length of each leg of an isosceles right triangle is 4 cm and we are to find the length of the hypotenuse.
For this, we will use the Pythagoras Theorem:

where
is the hypotenuse.



Therefore, the length of the hypotenuse is 5.65 cm.
Answer:
1155
Step-by-step explanation:
let the ratio be 4x:11x
4x=420
x=105
11x=11*105
=1155
Just a shot in the dark: 9*30 and 9*8?
Answer: x= -6; y= -1
Step-by-step explanation:
-4x + y = 23
4x - 9y = - 15
-4x + y = 23
y = 23 + 4x [Add 4x to both side]
4x - 9(23 + 4x) = - 15
4x - 207 - 36x = - 15
-32x - 207 = -15
-32x = 192 [Add 207 to both side]
x = -6 [Divide -32 from both side]
-4x + y = 23
-4(-6) + y = 23 [Plug in -6 for x]
24 + y = 23 [Subtract 24 from both side]
y = -1