Answer:
2x-12/2y+3
Step-by-step explanation:
Let's solve for i.
2x−5−3i=7+2yi
Step 1: Add -2iy to both sides.
−3i+2x−5+−2iy=2iy+7+−2iy
−2iy−3i+2x−5=7
Step 2: Add -2x to both sides.
−2iy−3i+2x−5+−2x=7+−2x
−2iy−3i−5=−2x+7
Step 3: Add 5 to both sides.
−2iy−3i−5+5=−2x+7+5
−2iy−3i=−2x+12
Step 4: Factor out variable i.
i(−2y−3)=−2x+12
Step 5: Divide both sides by -2y-3.
i(−2y−3)
−2y−3
=
−2x+12
−2y−3
i=
2x−12
2y+3
Answer:
i=
2x−12
2y+3
Answer:
83.3 g of 18-karat gold and 166.7 g of 12-karat gold
Step-by-step explanation:
24-karat gold is pure gold. The purity is 24/24 = 1 = 100% gold.
12-karat gold is 50% gold. The purity is 12/24 = 0.5 = 50% gold.
14-karat gold is 14/24 pure, so in 250 g of 14-karat gold the amount of pure gold is
14/24 * 250 g
The total weight of the bracelet is 250 g.
Let x = the weight of 18-karat gold.
Then the weight of 14-karat gold needed is 250 - x.
weight of pure gold from 14-karat gold + weight of pure gold from 18-karat gold = weight of pure gold in 14-karat gold bracelet
0.5 * (250 - x) + 0.75x = 14/24 * 250
125 - 0.5x + 0.75x = 7/12 * 250
125 + 0.25x = 7/12 * 250
1500 + 3x = 1750
3x = 250
x = 250/3
x = 83.3
250 - x = 250 - 83.3 = 166.7
Answer: 83.3 g of 18-karat gold and 166.7 g of 12-karat gold
Answer:
24 x 77
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
similar to 
Required
Find ZX
similar to implies that, the following sides are similar
To find ZX, we make use of the following equivalent ratio
Where
So, we have:
Express as fraction
Make ZX the subject
Answer:
Step-by-step explanation:
The radius is 7, which helps us find the area of a circle. Divide the area by 2 since it is a semi-circle and you would get 76.969.
Then, you would need to find the area of the square. 14 times 14 is 196.
Add both units, you would get 273 units squared as your final answer.
