Answer:
18 pounds of cashews are needed.
Step-by-step explanation:
Given;
A manager bought 12 pounds of peanuts for $30.
Price of peanut per pound P = $30/12 = $2.5
Price of cashew per pound C = $5
Price of mixed nut per pound M = $4
Let x represent the proportion of peanut in the mixed nut.
The proportion of cashew will then be y = (1-x), so;
xP + (1-x)C = M
Substituting the values;
x(2.5) + (1-x)5 = 4
2.5x + 5 -5x = 4
2.5x - 5x = 4 -5
-2.5x = -1
x = 1/2.5 = 0.4
Proportion of cashew is;
y = 1-x = 1-0.4 = 0.6
For 12 pounds of peanut the corresponding pounds of cashew needed is;
A = 12/x × y
A = 12/0.4 × 0.6 = 18 pounds
18 pounds of cashews are needed.
Answer:
<h2>
He is going to pay 40*900= $36000 for the reservation</h2>
Step-by-step explanation:
Step one:
We are told that they need at least 50 total rooms.
Joe has paid for 16 rooms since Joe can only reserve rooms in block, and a block has 8 rooms, then Joe has paid for 2 blocks.
There is a deficit of 50-16= 34rooms
Required
The Number of blocks Joe need to reserve in addition is 34/8
=4.25
The blocks can not be in decimal, so we need to approximate, which is 5 blocks
Therefore Joe is going to reserve 5*8= 40 rooms
<u>He is going to pay 40*900= $36000 for the reservation</u>
Work: x/175=12%/100
multiply 175 by 2 and then you divide it by 100
answer: 21 are visiting from out of state.
140 is a composite number. Factor pairs: 140 = 1 x 140, 2 x 70, 4 x 35, 5 x 28, 7 x 20, 10 x 14. Factors of 140: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140. Prime factorization: 140 = 2 x 2 x 5 x 7, which can also be written 140 = 2² x 5 x 7
