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ser-zykov [4K]
3 years ago
14

The difference of the square of a number and 12 is equal to 4 times that number. Find the positive solution.

Mathematics
1 answer:
Fittoniya [83]3 years ago
7 0
6 because 6×6 is 36 - 12 = 24 and 6•4 =24
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Please Help.
Gennadij [26K]
Answer:
amount of nuts = 2 pounds
amount of dried fruit = 4 pounds

Explanation:
We are given that x is the amount of nuts and y is the amount of dried fruit.
We are also given that:
1- Hunter needs to make 6 pounds of trail mix. This means that:
x + y = 6
This can be rewritten as:
x = 6 - y .........> equation I
2- x costs $4 per pound, y costs $3.5 and Hunter can spend a total of $22. This means that:
4x + 3.5y = 22 ..........> equation II

Substitute with equation I in equation II and solve for y as follows:
4x + 3.5y = 22
4(6-y) + 3.5y = 22
24 - 4y + 3.5y = 22
24-22 = 4y-3.5y
2 = 0.5y
y = 4 pounds

Substitute with y in equation I to get the value of x as follows:
x = 6-y
x = 6-4
x = 2 pounds

Hope this helps :)

7 0
3 years ago
Abigail runs a 35 mile race. After an hour she has run 20% of the race. How far did Abigail run in an hour?
Pie

Answer:

7 miles

Step-by-step explanation:

35 x 0.2 = 7 miles

5 0
3 years ago
Read 2 more answers
∠CAT and ∠TAD is a linear pair. If m∠CAT = 14 and m∠TAD = x+10, find x.<br>(show work please)
marissa [1.9K]

Answer:

156

Step-by-step explanation:

Since, ∠CAT and ∠TAD is a linear pair.

Therefore,

∠CAT + ∠TAD = 180°

14° + (x + 10)° = 180°

(x + 24)° = 180°

x + 24 = 180

x = 180 - 24

x = 156

3 0
3 years ago
Avery planned a circular garden and path as shown below. the radius of the garden is 4 feet and the path around the garden is 2
yulyashka [42]

Answer:C

Step-by-step explanation:

113.0ft squared

3 0
3 years ago
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Help me.................
-Dominant- [34]

Sry but I need more information to answer the question. So so sry!

6 0
3 years ago
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