<h3>(8.4 + 10.3) + (–4.1) = 8.4 + (10.3 + (–4.1)) is a example of associative property of addition</h3>
<em><u>Solution:</u></em>
Given that we have to find the associative property of addition
When we add, we can group the numbers in any combination
<em><u>Option A</u></em>
–(18.9 + 3.2) = –18.9 + (–3.2)
Here, negative sign outside the bracket is distributed to terms inside the bracket
This is not a example of associative property
<em><u>Option B</u></em>
–5.5 + 7.9 = 7.9 + (–5.5)
By commutative property of addition,
a + b = b + a
This, is commutative property of addition
<em><u>Option C</u></em>
–17.5 + 0 = –17.5
This is also not a example of associative property
<em><u>Option D</u></em>
(8.4 + 10.3) + (–4.1) = 8.4 + (10.3 + (–4.1))
We can group the numbers in any combination
This is a example of associative property of addition
A system of equations is a collection of two or more equations with the same variables. When solving this system, u need to find the unknown variables. One way of solving a system of equations is by substitution.
example :
2x + 2y = 6 (equation 1)
3x + y = 4 (equation 2)
we need to pick a variable and isolate it. The easiest one to pick since it is already by itself is the y in the second equation.
3x + y = 4.....subtract 3x from both sides
y = -3x + 4
now we can sub -3x + 4 in for y in the 1st equation...u have to make sure u sub it back into the 1st equation and not the same equation u used to find it.
2x + 2y = 6.....sub in -3x + 4 in for y and solve for x
2x + 2(-3x + 4) = 6...distribute thru the parenthesis
2x - 6x + 8 = 6...subtract 12 from both sides
2x - 6x = 6 - 8...simplify
-4x = -2...divide both sides by -4
x = -2/-4
x = 1/2
now that we have a numerical number for x, u can sub this back into either of ur equations to find a numerical answer for y.
y = -3x + 4...when x = 1/2
y = -3(1/2) + 4
y = -3/2 + 4
y = -3/2 + 8/2
y = 5/2
so ur solution is : (1/2,5/2) <===
and u can check ur answers by subbing them into ur equations to see if they satisfy both equations...because for it to be a solution to this system, it has to satisfy both equations and not just one of them
X = 5/2 ,y = 1.I usually solve for x first then substitute the answer in one of the equations to find y.
The "explanation" for the problem has a typo in it. There are 11 possible ice cream/yogurt flavors to choose from, regardless of whether any are low-fat, so the total number of ways of choosing any 2 from the selection is
In particular we want to count the number of ways of picking 1 ice cream and 1 yogurt flavor from the low-fat variety. There are 6 total choices that are not low-fat of which we choose 0, 3 choices of low-fat ice cream of which we choose 1, and 2 choices of low-fat yogurt of which we also choose 1. In terms of the binomial coefficient, this is
So the probability of getting such a combination is
.
Answer:
∠Q ≈ 42.969, ∠P ≈ 52.03, QR ≈ 15.036
Step-by-step explanation:
Law of sines:
13/sin Q = 19/sin 85°
=> sin Q = 13 × sin 85°/19
=> Q = sin^-1 (13 × sin 85°/19)
=> Q ≈ 42.969
∠P=> 180 - 85 - 42.969 ≈ 52.03
QR/sin 52.03° = 19/sin 85°
=> QR = sin 52.03° × 19/sin 85°
=> QR ≈ 15.036
