Answer:
30 bags
Step-by-step explanation:
Take the number of apples and divide by the number of apples per bag
150/5
30
We need 30 bags
The answer to the system of equations is x = 3, y = -2 and z = 5.
In order to find this you can use elimination to create two equations with only x and y. First we will add equation one with equation 2 multiplied by 2.
-x + 2y + 2z = 3
6x + 2y - 2z = 4
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5x + 4y = 7
Then we can add equation 2 with equation 3.
3x + y - z = 2
2x + y + z = 9
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5x + 2y = 11
Now we can use these two equations together to solve for y. It will be easiest if we multiply the second one by -1.
5x + 4y = 7
-5x - 2y = -11
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2y = -4
And then we can solve for y.
2y = -4
y = -2
With that answer we can go back to any equation with just y and x and solve for x.
5x + 4y = 7
5x + 4(-2) = 7
5x - 8 = 7
5x = 15
x = 3
Now we can use x and y in any equation to find z.
2x + y + z = 9
2(3) + (-2) + z = 9
6 - 2 + z = 9
4 + z = 9
z = 5
It asks to "Find the unit price in dollars per padlock"
The phrasing "dollars per padlock" is the same as "dollars per 1 padlock"
In other words, the teacher wants to know how much 1 padlock costs.
7 padlocks : $23.80
7/7 padlocks : $23.80/7 .... divide both parts by 7
1 padlock : $3.40
We see that 1 padlock costs $3.40, so the unit cost is $3.40 per padlock
Answer:
257 degrees
Step-by-step explanation:
A circle has total angle of 360
360-103 = 257
In this question we have to use the formula that relates the lengths of secant and tangent .
And according to the theorem, the square of tangent is equal to the product of length of the part of secant that is outside the circle and total length .
And according to the formula, we will get
Taking square root to both sides
So for the given diagram, and with the given values, the value of x is 8.9
