Questions 55-57Solve each inequality for y.
55. a + y < b
56. a > y - b
57. 2(y + a) - y > a
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Answer:
Y=3
Step-by-step explanation:
According to my calculations of my own business it will be the best way
Related Questions
A phone store employee earns a salary of $450 per week plus 10% comission on her weekly sales. A) What function rule models the employee's weekly earnings? B)If the employee earned $570 in a week, what was the amount of her sales for that week?
Urgent please help!!What is the scale factor for the set of similar figures?Explain answer
If each pound of beef cost $2.59 how much does 3 1/4 pounds cost ?
(3x + 2) (2x - 5) = ax² + kx + n . What is the value of a - n + k ?
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Answer:
Yes it's a function.
Step-by-step explanation:
To know if it's a function check if there is two x-intercepts. If there is them it's not a if there isn't then, it's a function.
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model y = 500(1.035)^x is the value of the an investment after x years.
the growth factor of this model is 1.035
Let us assume that x = 3 and x = 2
y = 500(1.035)² = 500 (1.07) = 535
y = 500(1.035)³ = 500 (1.11) = 555
growth factor = 555 / 535 = 1.037 or 1.035
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b) How many pages would it print in 7.2 minutes?
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Answers
The perimeter of the second triangle is 90 units.
What are similar figures?
Similar figure are zoomed in or zoomed out (or just no zoom) version of each other. They are scaled version of each other, and by scale, we mean that each of their dimension(like height, width etc linear quantities) are constant multiple of their similar figure.
So, if a side of a figure is of length L units, and that of its similar figure is of M units, then:
where 'k' will be called as scale factor.
The linear things grow linearly like length, height etc.
For this case, the two considered triangles are similar. Thus:
A side of first triangle = k times corresponding side of its similartriangle
where k is the scale factor, constant for one pair of similar triangles.
We're given that:
Sides of first triangle are of 8,10 and 12 unit length.
Smallest side of second triangle is of 24 units.
Now, smallest side of first triangle will correspond to the smallest side of its similar triangle.
For first triangle, the smallest side is of 8 units (8 is smaller than 10 and 12, the other two sides).
Let the sides of second triangle be of S = 24 units, M units, and L units.
where M is middle sized side and L is largest side of second triangle.
Let the scale factor be 'k'.
Then, we get:
Smallest side of first triangle = k × smallest side of its similar triangle
Similarly, middle sized side of first triangle = (1/3) × middle sized side of second triangle
units.
Thus, the length of middle sized side of second triangle is 30 units.
Largest side of first triangle = (1/3) × Largest side of second triangle
units.
Thus, the length of middle sized side of second triangle is 30 units.
Perimeter of the second triangle = sum of length of its sides
= S + L + M = 24 + 30 + 36 = 90 units.
Thus, the perimeter of the second triangle is 90 units.
Learn more about scale factor here:
the other 2 are 30 and 36
What is the solution to the system of equations?
(–20, 10)
(10, –20)
(10, 4)
(4, 10
Answers
Answer:
The correct option is 2.
Step-by-step explanation:
The given system of equations is
.... (1)
..... (2)
Substitute the value of x from equation (2), in equation (1).
On simplification, we get
The value of xis 10 and the value of y is -20. So, the solution of the given system of equation is (10,-20).
Therefore the correct option is 2.