Answer:
(4,-2)
Step-by-step explanation:
There are 9 long distance male runners and 5 long distance female runners. This makes a total of 9+5 = 14 long distance runners.
Out of this total of 14 long distance runners, there are 9 males. So the probability as a fraction is 9/14
If you need the answer in decimal form, then use a calculator to get 9/14 = 0.642857 which is approximate.
Answer:
12x + 18y + 6z + 4x - 4z
Step-by-step explanation:
Given the expression : 3(4x + 6y + 2z) + 4(x – z)
To eliminate the parenthesis ; we use the distributive property :
3(4x + 6y + 2z) + 4(x – z) becomes ;
3*4x + 3*6y + 3*2z + 4*x + 4*-z
12x + 18y + 6z + 4x - 4z
Hence,
12x + 4x + 18y + 6z - 4z
16x + 18y + 2z
Answer:
D) 20°
Step-by-step explanation:
Using the triangle sum theorem, you know that every triangle's interior angles add up to 180°. Therefore the bottom triangle's missing angle can be found by giving it the variable x.
57° + 30° + x = 180°
Simplify: 87° + x =180°
x=93°
By the vertical angles theorem, the vertical angle directly across this angle is congruent to this one. Meaning that the top triangle's angle are 67°, 93°, and unknown, which we can assign y. We can use the same method from above here.
67° + 93° + y = 180°
Simplify: 160° + y = 180°
y=20°
Answer:
Any expression doesn't have the same value
Step-by-step explanation:
<h3>1. 23-82</h3>
Subtract 82 from 23.
−59
<h3>2. 23 - (8 x 2)</h3>
Simplify each term.
Multiply 8 by 2.
23−1⋅16
Multiply −1 by 16.
23−16
Subtract 16 from 23.
7
<h3>3. (23 -8) x 2</h3>
Subtract 8 from 23.
15⋅2
Multiply 15 by 2.
30
<h2>Hope it is helpful.....</h2>
