The system of equation that can be used to represent the situation is as follows:
The number of water bottle bought = 6
The number of pretzel bought = 10
Let
x = number of water bottle bought
y = number of pretzel bought
Hanson buys 16 items. Therefore,
Hanson spends a total of $47. Therefore,
<h3>Combined System of equation:</h3>
Therefore, let multiply equation(i) by 2
2x + 2y = 32
2x + 3.5y = 47
1.5y = 15
y = 15 / 1.5
y = 10
x + 10 = 16
x = 6
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If d₁ and d₂ are the lengths of the diagonals, the area is given by
.. A = (1/2)*d₁*d₂
.. A = (1/2)*(12 in)*(16 in)
.. A = 96 in²
If b is the base and h is the height, the area is given by
.. A = b*h
We know the values of A and b, so
.. 96 in² = (10 in)*h
.. (96 in²)/(10 in) = h = 9.6 in
The height is 9.6 in.
An isosceles triangle is a triangle that has one pair of equal sides. The Formula in finding the perimeter of a triangle is PΔ=S₁+S₂+S₃. Since two legs are missing, and the given are the base and perimeter, we will use the formula : S₁+S₂ = PΔ-S₃, where: S₁+S₂ are the legs and <span>S₃ is the base.
Substitute values:
</span><span>S₁+S₂ = 43cm - 7 cm
</span> = 36 cm
since S₁ and S₂ are equal, divide 36cm by 2. Therefore S₁ and <span>S₂ measures 18cm.
Check: </span><span>PΔ=S₁+S₂+S₃
</span><span> = 18cm + 18 cm + 7cm
= 43cm
</span>
Answer:
≈ 1833
Step-by-step explanation:
To find ratio of proton mass to electron mass, we have to divide.
The numbers are given in <em>scientific notation</em>.
Let a number be 
and another be 
, when we divide, we will follow the rule shown below:
Now, we use the information given to find the ratio:
This means we can find the number by taking 4 decimal places to the right, so that would becomes:
The approximate ratio is 1833 [mass of proton is around 1833 times heavier than mass of electron]
Answer: nth=4x
Step-by-step explanation: 4,8,16,32
So when x=1 nth=4
Then 4x should be the answer we need to find any term
