Answer:
Almonds cost $8 per pound and Cashews cost $10 per pound.
Assuming pounds of Almonds are denoted as a and Cashews are c, the formula will be:
8a + 10c = 60
Only Cashews:
This means that Almonds would be zero.
8(0) + 10c = 60
10c = 60
c = 60/10
c = 6 pounds of cashews
Only Almonds
8 * a + 10(0) = 60
8a = 60
a = 60/8
a = 7.5 pounds of almonds
A mixture of both.
We can use the formula above to calculate how many of each she can buy but she cannot buy more than 7.5 almonds or more than 6 cashews as she does not have enough money on her.
Assuming she wanted to buy 5 pounds of almonds, she would be able to buy:
8 * 5 + 10c = 60
40 + 10c = 60
10c = 60 - 40
c = 20/10
c = 2 pounds of cashews
Answer: 118750000
Step-by-step explanation:
Population Then: 9.7 × 10^7 = 97000000
Each Year: 8.7 × 10^5 = 870000
After 25 Years People Added: 8.7 × 10^5 × 25 = 21750000
Population Now: 97000000 + 21750000 = 118750000
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
Step-by-step explanation:
6/4 + 2/3 (taking LCM between denominators)
=> 6*3/4*3 + 2*4/3*4
=> 18/12 + 8/12
=> (18 + 8)/12
=> 26/12
=> 13/6
Answer:
4(10+n)=34
40+4n=34
4n=-6
n=-6/4=-3/2
Step-by-step explanation:
