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harkovskaia [24]
3 years ago
8

A recipe calls for mixed nuts with 50% peanuts. 1/2 pound of 15% peanuts has already been used. How many pounds of 75% peanuts n

eeds to be added to obtain the 50% mix?
Mathematics
1 answer:
Galina-37 [17]3 years ago
6 0
Now you have
<u />
<u>(.15)0.5 lb peanuts</u>     =     <u>0.075 lb peanuts</u>
0.5 lb  nuts                              0.5 lb nuts

for every pound of 75% mixed nuts you add, you get .75 lb peanuts, how many pounds, x, do you need to add to get the ratio 50 to 100?

<u>0.075 lb peanuts + 0.75x lb peanuts</u><em>       =    <u /></em><u>   50   </u><u>
</u>0.5 lb nuts + x lb nuts                                      100

cross multiply

(0.075 + .75x) 100 = (0.5 + x) 50
7.5 + 75x = 25 + 50x
25x = 17.5
x = 0.7 lb of 75% peanuts

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A triangle has side lengths of (1.3k+3.5m)(1.3k+3.5m) centimeters, (4.1k-1.6n)(4.1k−1.6n) centimeters, and (9.7n+4.4m)(9.7n+4.4m
Scorpion4ik [409]

Answer:

(5.4k+7.9m+8.1n) centimeters

Step-by-step explanation:

Given the side length of a triangle;

S1 = (1.3k+3.5m) cm

S2 = (4.1k-1.6n) cm

S3 = (9.7n+4.4m) cm

Perimeter of the triangle = S1+S2 + S3

Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)

Collect the like terms;

Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n

Perimeter of the triangle = 5.4k+7.9m+8.1n

Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters

5 0
3 years ago
Solve usuing synthetic divison and list the steps/explain answer.<br> (7m^(3)+16m^(2)-7m+27)-:(m+3)
zloy xaker [14]

Answer:

7m² - 5m + 8 + 3/(m+3)

Step-by-step explanation:

7m³+16m²-7m+27

(7m³+21m²-5m²-15m+8m+24+3)/(m+3)

[7m²(m+3) - 5m(m+3) + 8(m+3) + 3]/(m+3)

7m² - 5m + 8 + 3/(m+3)

6 0
2 years ago
Read 2 more answers
Joe went on holiday to Spain.
Hunter-Best [27]
Answers:

a. £2,090
b. My answer would be less because my total in euros would be divided by a greater number when converting euros to pounds.

Work for part a:

Apartment: 560•3= 1680 euros

Car: 20.16•15= 302.4 euros

1680+302.4=1982.4

1982.4/1.12 = £x/1

1982.4 / 1.12= £1,770

£1,770 + £320 = £2,090 total

Work for part b:
Example:
(instead of 1.12 I put 2 to see what would happen with a greater number)
1982.4 / 2 = 991.2

991.2 is less than 1,770 (the answer I got with 1.12)

Let me know if you need any clarification! :)
7 0
3 years ago
Find the distance from N to T. √29 √14 29 7
Lerok [7]
|dw:1375141940415:dw|
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the answer would be
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29^2
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(dont forget the square root )

29²
6 0
2 years ago
A man owns 50 shares of stock worth $30 each. The corporation declared a dividend of 6% payable in stock. How many shares did he
Tasya [4]

9514 1404 393

Answer:

  53 shares

Step-by-step explanation:

If we assume the price remained constant, then the number of shares increased by 6%.

  (50 shares)(1 +6%) = 53 shares

The man then owned 53 shares.

5 0
3 years ago
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