Answer:
84
Step-by-step explanation:
12*3+6x=4.20(12+x)
36+6x=50.4+4.2x
6x-4.2x=50.4-36
1.8x=14.4
x=14.4/1.8
x=8 pounds of cashews is used.
Proof:
12*3+6*8=4.2(12+8)
36+48=4.2*20
84=84
(not mine)
from algebra.com
Answer:
around 190
Step-by-step explanation:
Answer:
a) a combination
b) The probability = 1 ÷ [ Number of ways to select the four dancers ]
Step-by-step explanation:
a) Here it is only required to calculate the number of ways to select the four dancers and the order of the dancers is not required i.e not important for us.
Hence, we will use a combination to select 4 out of 22 dancers
i.e ²²C₄
b) Since the dancers selected are 4 predetermined individuals
therefore,
number of ways to select selecting dancers Laura, Matthew, Lakiesha, and Santos will be '1'
Hence,
The probability = 1 ÷ [ Number of ways to select the four dancers ]
= 1 ÷ ²²C₄
Answer:
p = (2k + 1)i + j
q = 25i + (k + 4)j
p . q = 11
Find the dot product of p and q
(2k + 1)(25) + (k + 4) = 11
50k + 25 + k + 4 = 11
51k = -18
k = - 18/51 = –6/17.✅
b) p.q = |p||q|cos∅
p= (2k + 1)i + j = [2(-6/17) + 1)i + j ]= 5/17i + j
|p| = √ (5/17)² + 1²
|p| = √314/ 17 ( The square root doesn't cover the 17) = 1.0424
q = 25i + (k + 4)j = 25i + ( -6/17 + 4)j
q = 25i + 62/17 j
|q| = √ 25² + (62/17)²
= 25.2646
Now applying them to the formula above
We already have p.q = 11 from the question.
11 = (1.0424)(25.2646)Cos∅
11 = 26.3358Cos∅
Cos∅ = 11/26.3358
Cos∅ = 0.4177
∅ = 65.31°.
This should be it.
Hope it helps
Answer:
15.56
Step-by-step explanation:
mark brainliest k ty
