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oee [108]
3 years ago
14

Expand the expression. 0.2(y + 2)

Mathematics
1 answer:
Stolb23 [73]3 years ago
7 0

Answer:

x=0.2(y+2)

Step-by-step explanation:

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Dylan owes half as much money as he used to owe. If he used to owe $28, which of the following expressions would reflect how muc
zubka84 [21]

Answer:

14

Step-by-step explanation:

28 ÷ 2 equals 14 and 14 is half of 28

4 0
3 years ago
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An isosceles triangle has two congruent angles which each measure 35 what is the measure of the third angle in the triangle
Lemur [1.5K]

Answer:

110

Step-by-step explanation:

35+35=70 180-70=110

8 0
3 years ago
Can someone help me please? Use the linear combination method to solve the system of equations. Pretty please show your work and
Pavel [41]

Answer:

  (x, y) = (4, -3)

Step-by-step explanation:

  • x-3y=13
  • 2x+4y=-4

First of all, look at the given equations. Here, we see that the second equation has coefficients that all have a factor of 2. If we divide that out, we get an equation that has an x-coefficient of 1, matching the x-coefficient in the first equation.

Here is the reduced second equation:

  x +2y = -2

Now, if we subtract one equation from the other, the variable x will be eliminated. We want to choose that subtraction wisely.

We note that the y-coefficient in the first equation is less than that in the second equation. If we subtract the first equation from the second, the result will have a positive y-coefficient:

  (x +2y) -(x -3y) = (-2) -(13)

  5y = -15 . . . . . . . . . . . . . . . . simplify. Note that the x-variable is eliminated, which is the purpose of this exercise.

  y = -3 . . . . . . . divide by 5

We can use this value in the reduced second equation to find the value of x:

  x +2(-3) = -2

  x = 4 . . . . . . . . . add 6 and simplify

The solution is (x, y) = (4, -3).

_____

I find a graphing calculator provides an easy and reliable check of the answer.

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<em>Comment on linear combination</em>

This method is often called "elimination," because the purpose of combining the equations in a particular way is to eliminate one of the variables. This requires you look at the coefficients of the variables and devise a plan to combine them so the resulting coefficient for one of the variables is zero.

In the worst case, you can combine ...

  • ax +by = c
  • dx +ey = f

by multiplying the second equation by <em>a</em> and the first by <em>-d</em>:

  a(dx +ey) -d(ax +by) = a( f) -d(c)

  y(ae -bd) = fa -cd . . . . . . simplify; x is eliminated

This sort of approach results in a formula for the solution known as Cramer's Rule.

  y = (fa-cd)/(ae-bd)

The corresponding solution for x is ...

  x = (ce-bf)/(ae-bd)

__

The point of looking at the equations first is that you can often choose which variable to eliminate and what multiplier to use to minimize the amount of arithmetic involved—as we did above.

5 0
3 years ago
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Give two solutions of the inequality: p ≤ 3
Sonja [21]

Answer:

3,2

Step-by-step explanation:

3 is equal to 3 which can be it and 2 is less than 3

7 0
2 years ago
If Alice and Charlie share £20 in the ratio 1 : 3 , how much does Alice get?
Arlecino [84]

Answer:

$5

Step-by-step explanation:

5+15 = 20

5:15 = 1:3

8 0
2 years ago
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