Answer: She could create 60 platters.
Step-by-step explanation:
Given: A salad bar offers vegetable platters in 4 sizes (small, medium, large, and super-sized) and 6 different vegetables to choose from.
Number of combinations of selecting <em>r</em> things from <em>n</em> things is given by:-
So, the number of combinations of selecting 2 different vegetables from 6 = 
Now, By Fundamental counting principle, the number of different platters she could create = (number of ways of selecting 2 different vegetables from 6) x (Number of sizes)
= 15 x 4
= 60
Hence, she could create 60 platters.
Answer:
18.0
Step-by-step explanation:
==>Given:
Triangle with sides, 16, 30, and x, and a measure of an angle corresponding to x = 30°
==>Required:
Value of x to the nearest tenth
==>Solution:
Using the Cosine rule: c² = a² + b² - 2abcos(C)
Let c = x,
a = 16
b = 30
C = 30°
Thus,
c² = 16² + 30² - 2*16*30*cos 30°
c² = 256 + 900 - 960 * 0.8660
c² = 1,156 - 831.36
c² = 324.64
c = √324.64
c = 18.017769
x ≈ 18.0 (rounded to nearest tenth)
We need to convert the mixed fractions into improper fractions.
1*8 = 8
8+7 = 15
15/8
2*3 = 6
6+1 = 7
7/3
Now we can finish and multiply
15*7 = 105
8*3 = 24
Simplify 105/24
105/24
24*4 = 96
105 - 96 = 9
4 is the whole number, and 9 is the numerator.
4 9/24
Simplify that,
9/3 = 3
24/3 = 8
4 3/8
Answer: 
Answer:
Both are negative
Step-by-step explanation:
If multiplying= It will always be negative
If dividing= It will also always be negative
x + 2y + 3 = 0
Subtract x from both sides.
2y + 3 = -x
Subtract 3 from both sides.
2y = -x - 3
Divide by 2 on both sides
y = -(x+3)/2
x + y + 4 = 0
Subtract x and 4 from both sides
y = -x - 4
3x - 2y + 4 = 0
Subtract 3x and 4 from both sides.
-2y = -3x -4
Divide by -2 from both sides.
y = -(3x + 4) / 2
The answer is the graph that contains these slopes and lines on the graph, which was not provided.
