The value of x+y+z = 93
<u>Explanation:</u>
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angle 1 = 18x
angle 2 = x+y
angle 3 = 30z
In rhombus, the diagonals intersect at 90°
Therefore,
angle 1 : 18x = 90
x = 90/18 = 5
angle 2: x+y = 90
5+y = 90
y = 85
angle 3: 30z = 90
z = 90/30 = 3
Value of x+y+z = 5+85+3 = 93
Thus, the value of x+y+z = 93
Answer:
Step-by-step explanation:
The drama club is running a lemonade stand to raise money for its new production. A local grocery store donated cans of lemonade and bottles of water. Cans of lemonade sell for $2.50 each and bottles of water sell for $1.25 each. The club needs to raise at least $600 to cover the cost of renting costumes. The students can accept a maximum of 460 cans and bottles.
Write a system of inequalities that can be used to represent this situation.
The club sells 144 cans of lemonade. What is the least number of bottles of water that must be sold to cover the cost of renting costumes? Justify your answer
The amount given to them is GHS300.00
Step-by-step explanation:
A man gave an amount of money to his three sons Yao, Esi and Ampa in the ratio of their years
- Yao is 15 years
- Esi is 10 years
- Ampa 5 years
- Esi had GHS100.00
We need to find the amount given to them
Let us use the ratio method to solve the problem
∵ Yao is 15 years old
∵ Esi is 10 years old
∵ Ampa is 5 years old
∴ The ratio between them is
→ Yao : Esi : Ampa
→ 15 : 10 : 5
Simplify the terms of the ratio by divide each term by 5
∴ The ratio between their ages in the simplest form is
→ Yao : Esi : Ampa
→ 3 : 2 : 1
∵ Esi had GHS100.00
→ Yao : Esi : Ampa : Total
→ 3 : 2 : 1 : 6 ( 3 + 2 + 1 = 6)
→ : 100 : : x
Use the cross multiplication to find x
∵ 2(x) = 100(6)
∴ 2x = 600
- Divide both sides by 2
∴ x = 300
∵ x represents the total money given to them
∴ The amount given to them is GHS300.00
The amount given to them is GHS300.00
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Answer:
13
Step-by-step explanation:
p^2 -6p +6
Let p=-1
(-1)^2 -6(-1) +6
1 +6+6
13
