Answer:
1485120
Step-by-step explanation:
Since the order of arrangement does not matter, we use combination :
Recall :
nCr = n! ÷ (n-r)!r!
For administrator : 1 out of 5 :
5C1 = 5! ÷ (5-1)!1!
For faculty members : 3 out of 14 :
14C3 = 14! ÷ (14 - 3)!3!
For students : 3 out of 18 :
18C3 = 18! ÷ (18 - 3)!3!
5C1 * 14C3 * 18C3 = 1485120
7x+2y=2
steps:
y+21=-7/2x(x-6)
y+21=-7/2x+21
y=-7/2x+21-21
y=-7/2x
7/2x+y=0
2(7/2x+y=0)
7x+2y=2
Answer:
D
Step-by-step explanation:
Finding y int by substituting the points given (say y int is x)
(-9) = 4(-4) + x
(-9) = -16 + x
x = 7
With the y int, you can now write the equation
y = -4x + 7
If you draw a circle out and divide it into eighths or fourths, you can see that 2/8 equals 1/4.
Or you could just do equivalent fractions and since the denominator 4, you have to multiply that by 2 to get the denominator of 8 so you have to do the same with the numerators. 1 times 2 equals 2 so 1/4=2/8
Is this confusing i hope it isn't Hope this helps!
Answer:
Yes, because the quotient of Fraction 1 and 4 over 5 ÷ Fraction 3 over 4 is 2 and 2 over 5
Step-by-step explanation:
Jade used Fraction 3 over 4 yard of fabric to make a scarf. Can she make 2 of these scarves with Fraction 1 and 4 over 5 yards of fabric, and why?
Representing the above expression Mathematically
3/4 yard = 1 scarf
1 4/5 yards of fabric = x
Cross Multiply
3/4x = 1 4/5 × 1
x = 9/5/ 3/4
x = 9/5 ÷ 3/4
x = 9/5 × 4/3
x = 12/5 scarves
x = 2 2/5 scarves
Hence, the correct option is :
Yes, because the quotient of Fraction 1 and 4 over 5 ÷ Fraction 3 over 4 is 2 and 2 over 5
