For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso.
<h3>How to apply systems of linear equations in real life equations</h3>
In this question we must translate the statement of the problem into mathematical expressions and then we must solve the resulting system. We need three equations that describe the quantities of 50 peso, 200 peso and 500 peso bills:
<em>y = x - 5</em> (1)
<em>0.5 · y =</em> <em>z</em> (2)
<em>x + y + z = 6250</em> (3)
The solution of the system of <em>linear</em> equations is described below:
<em>x =</em> 2503, <em>y =</em> 2498, <em>z =</em> 1249
For an amount of 6250 Peso, Hank have the quantities of the following denominations: 2503 bills of 50 peso, 2498 bills of 200 peso and 1249 bills of 500 peso.
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Answer:
a. 135 is correct
Step-by-step explanation:
We have the following information:
dogs lover: 150
cats lover: 120
as the null hypothesis:
H, there are equal number of dogs lover and cats lover, so the expected frequency in each cell will be equal and that is:
f = (150 + 120) / 2
f = 270/2 = 135
so option a. 135 is correct
Answer:
6.7%
Step-by-step explanation:
cost: 75 cedis
sale price: 80 cedis
amount of profit: 80 cedis - 75 cedis = 5 cedis
Now we find what percent 5 cedis is of 75 cedis.
percent = part/whole * 100%
percent = 5/75 * 100%
percent = 0.06666 * 100%
percent = 6.6666%
percent = 6.7%
Answer:
31.5 cubic feet
Step-by-step explanation:
the formula to find the volume of a rectangular prism is v = <em>whl</em>
w = width
h = height
l = length
(3.5)(2)(4.5) = 31.5
Distance Formula: d = √(x₂ - x₁)² + (y₂ - y₁)²
(-6 , 2) and (8 , 10)
x₁ y₁ x₂ y₂
d = √(8 - (-6))² + (10 - 2)²
d = √(8+6)² + (10 - 2)²
d = √(14)² + (8)²
d = √(196) + (64)
d = √ 260
d = 2√65
I think this is right, but I am not sure.