The system of equations can be used to determine how much of product x and product y the store owner bought is x + y = 4,000
0.10x + 0.04y = 352
<h3>Simultaneous equation</h3>
- product x
- Product y
- Total units of x and y = 4,000 units
- Cost of shipping each product x = $0.10
- Cost of shipping each product y = $0.04
- Total cost of shipping = $352
The equation:
x + y = 4,000
0.10x + 0.04y = 352
Therefore, the system of equations can be used to determine how much of product x and product y the store owner bought is x + y = 4,000
0.10x + 0.04y = 352
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Answer:
60.2 m
Step-by-step explanation:
Let x represent the width of the river. The distance from the point across from the tree to the second point is 15 m. The angle from this point to the tree across the river is 76°.
This makes the side opposite the angle x, the width of the river. It also means the 15 m side is adjacent to this angle.
The ratio opposite/adjacent is the ratio for tangent; this gives us the equation
x/15 = tan(76)
Multiply both sides by 15:
15(x/15) = 15(tan(76))
x = 15(tan(76)) ≈ 60.2
Answer:
1 and 2 answers are correct
Step-by-step explanation:
2x-y= -8
x-y = -4
ADD BOTH (y is cancelled)
3x= -12
x= -4
-8+y=-8
y=0
-4-y = -4
Multiply all by -1
4+y=4
y=0
Answer:
c. 3.6 and 10.4 hrs
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviations of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean 7, standard deviation 1.7.
For about 95% of students, nightly amount of sleep is between
7 - 2*1.7 = 7 - 3.4 = 3.6 hours
7 + 2*1.7 = 7 + 3.4 = 10.4 hours
So the correct answer is:
c. 3.6 and 10.4 hrs
