2+3i
------ should be multiplied (numerator and denominator both) by 2+i. This will
2-i remove i from the denominator.
(2+3i) 2+i 4 + 2i + 6i - 3 1 + 8i
-------- * ----------- = ---------------------- = ---------- (answer)
2-i 2+i 4+(-1) 8
You could also write this as (1/8) + i.
I think the equation that can be used it like 1,000x+9=2700 because if you miltipuly it by 9 you get your number
#1 is 163:) I hoped that helped
Explanation:
The point of this exercise is to give you an appreciation of the fact that metric length units are related by powers of 10. This means units conversion generally consists only of adjustment of the decimal point, or the power of 10 (for numbers in scientific notation).
For example, ...
1 cm = 10 mm
1 dm = 10 cm
1 m = 10 dm = 100 cm = 1000 mm
1 km = 1000 m
The prefixes m, c, d, k are standard SI prefixes applicable to other SI units as well.
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On the other hand, "customary" US units have relationships that are not powers of 10:
1 ft = 12 in
1 yd = 3 ft
1 rod = 5.5 yd
1 chain = 4 rods
1 furlong = 10 chains = 220 yards
1 mile = 8 furlongs = 1760 yards = 5280 feet
(Inches, feet, and miles are in common use; yards perhaps less so. Furlongs are rarely seen outside of horse racing, or the whimsical speed unit "furlongs per fortnight"—11/28 inch per minute.)
So, conversion from one unit of US customary measure to another involves conversion factors that are not always easily remembered.
First find out the total amount you need for your fabric.
2 1/2 yards for the shawl1 7/8 yards for the dress
The total would be 2 4/8 + 1 7/8 = 4 1/8 yards
Since you already have 9/10 of a yard, just subtract from your total amount.
3 90/80 + 72/80 = 3 18/80 = 3 9/40 *good to simplify*
She needs 3 9/40 yards more of fabric.
You already have 9/10 of fabric so you don't need to pay for it.You need to just pay for the 3 9/40 yards.
3 * 6.87 = 20.61(6.87/ 40) * 9 = 1.54575
20.61 + 1.54575 = 22.15575 *round it*
You need $22.16 to make the dance outfit.