Answer:
1) A because of vertical angle theorem (VAT), which means that b=37 degrees
2) C because a right angle is= to 90 degrees. Take away 23, you get 67 degrees
3) B because the image shows a full angle, which is equal to 360 degrees. Take away 207 and 58, you get 95 degrees
4) D because a right angle is= to 90 degrees. Take away 44, you get 46 degrees
5) A because a right angle is=to 90 degrees. Take away 58, you get 32 degrees
Answer:
13/5
Step-by-step explanation:
Given:
<u>Substitute the values into the expression:</u>
⇒ 1/2(m ÷ 3) + n
⇒ 1/2(12 ÷ 3) + 3/5
<u>Simplify the expression:</u>
⇒ 1/2(12 ÷ 3) + 3/5
⇒ 1/2(4) + 3/5
⇒ 1/2 x 4 + 3/5
⇒ 2 + 3/5
<u>Make common denominators:</u>
⇒ 2 + 3/5
⇒ (2 x 5/1 x 5) + 3/5
⇒ 10/5 + 3/5
<u>Simplify by adding:</u>
⇒ 13/5
The amount he should sell for one bottle of the fizzy juice to make the 60% profit is 22 Penny.
<h3>Cost of each juice</h3>
Orange : Lemonade
3 : 5
After buying 2 liters of orange juice and 3 liters of lemonade, cost of each;
Increase the ratio to form divisible by 2 and 3; (L.C.M of 2 and 3 = 6)
(3 x 6L) : (5 x 6L)
18L : 30L
total fizzy juice = 18L + 30L = 48 liters
bottle of orange = (18 L ÷ 2 L) = 9 bottles
bottle of lemonade = (30 L ÷ 3L ) = 10 bottles
cost of orange = 9 x £1.20 = £10.8
cost of lemonade = 10 x £1.50 = £150
Total cost = £10.8 + £150 = £25.80 = 2580 P
<h3>Total bottles that will make 48 liters fizzy juice</h3>
250 mL = 0.25 L
0.25L(n) = 48 L
n = 48/0.25
n = 192 bottles
<h3>Cost of each bottle in Penny</h3>
cost = 2580 P/192
cost = 13.44 P
<h3>Amount each bottle should be sold to make a profit of 60%</h3>
A = 100%(initial cost) + 60%(initial cost)
A = 160%(initial cost)
A = 1.6(initial cost)
A = 1.6 x 13.44 P
A = 21.5 P ≈ 22 P
Learn more about profit here: brainly.com/question/1078746
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