Answer:
14 times
Step-by-step explanation: add all colors up for total which is 25
since 7 out of the 25 total paper clips are yellow you would have a 7/25 chance of getting yellow after 1 pick.
since you pick and replace 50 times do (7/25) X 50 which gives you 14 times yellow will be drawn.
Answer:
(12, 48 )
Step-by-step explanation:
Given the 2 equations
y = 5x - 12 → (1)
y = 3x + 12 → (2)
Substitute y = 5x - 12 into (2)
5x - 12 = 3x + 12 ( subtract 3x from both sides )
2x - 12 = 12 ( add 12 to both sides )
2x = 24 ( divide both sides by 2 )
x = 12
Substitute x = 12 into either of the 2 equations and evaluate for y
Substituting into (2)
y = 3(12) + 12 = 36 + 12 = 48
solution is (12, 48 )
Answer:
The GCF is 1 and the LCM 280
Step-by-step explanation:
I did this on a test and got it right
the answer is 54 9/14
because Divide using long division. The whole number portion will be the number of times the denominator of the original fraction divides evenly into the numerator of the original fraction, and the fraction portion of the mixed number will be the remainder of the original fraction division over the denominator of the original fraction.
Answer:
Let p(x) = x3 + ax2 + bx +6
(x-2) is a factor of the polynomial x3 + ax2 + b x +6
p(2) = 0
p(2) = 23 + a.22 + b.2 +6 =8+4a+2b+6 =14+ 4a+ 2b = 0
7 +2 a +b = 0
b = - 7 -2a -(i)
x3 + ax2 + bx +6 when divided by (x-3) leaves remainder 3.
p(3) = 3
p(3) = 33 + a.32 + b.3 +6= 27+9a +3b +6 =33+9a+3b = 3
11+3a +b =1 => 3a+b =-10 => b= -10-3a -(ii)
Equating the value of b from (ii) and (i) , we have
(- 7 -2a) = (-10 - 3a)
a = -3
Substituting a = -3 in (i), we get
b = - 7 -2(-3) = -7 + 6 = -1
Thus the values of a and b are -3 and -1 respectively.
Step-by-step explanation:
