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USPshnik [31]
3 years ago
9

Answer for brainliest and 10 points

Mathematics
1 answer:
umka2103 [35]3 years ago
7 0

Answer:

It is rational because 121 is a perfect square.

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You have one type of nut that sells for $4.50/lb and another type of nut that sells for $8.80/lb. You would like to have 12.9 lb
butalik [34]

Answer:

The quantity of first nut = x = 2.4 lb

The quantity of second nut = 12.9 - x = 12.9 - 2.4 = 10.5 lb

Step-by-step explanation:

Let amount of first type of nut = x

Amount of second type of nut = 12.9 - x

Total Cost of  first type of nut = 4.5 x

Total Cost of second type of nut = 8.8 × (12.9 -  x)

Total cost of both type of nut = 8 × 12.9

Total cost = Cost of first type of nut + Cost of second type of nut

8 × 12.9 = 4.5 x + 8.8 × (12.9 -  x)

103.2 = 4.5 x + 113.52 - 8.8 x

8.8 x - 4.5 x = 10.32

4.3 x = 10.32

x = 2.4

Therefore the quantity of first nut = x = 2.4 lb

The quantity of second nut = 12.9 - x = 12.9 - 2.4 = 10.5 lb

3 0
3 years ago
What is the solution to the system of equations? y = 2x – 3.5 x – 2y = –14 (–7, 3.5) (3.5, –7) (7, 10.5) (10.5, 7)
Mandarinka [93]

y = 2x-3.5 ----->1

x-2y=-14. ----->2

1 into 2

x-2(2x-3.5)=-14

x-4x+7=-14

-3x=-14-7

-3x=-21

x=-21/-3

x=7 --- -->3

3 into 1

y = 2x-3.5

y=2(7)-3.5

y=10.5

:)

6 0
3 years ago
The boiling point of water in the Fahrenheit scale is 212 degrees ?
Artyom0805 [142]

The answer fam is........True (212°F)

8 0
3 years ago
Read 2 more answers
a board that is 2 5/8 feet long is cut from a larger board that is 7 1/3 feet long. How much of the board remains?
Rus_ich [418]

Answer:

4\frac{17}{24} feet

Step-by-step explanation:

Total length of the board = 7\frac{1}{3}=\frac{22}{3} feet

Length of board that is removed from the larger board = 2\frac{5}{8}=\frac{21}{8}

When a smaller board is removed, the length of the remaining board can be calculated using subtraction as:

Remaining Length of board = Total Length - Length of smaller board

= \frac{22}{3}-\frac{21}{8}\\\\\text{Taking LCM, which is 24}\\\\ =\frac{8(22)-3(21)}{24}\\\\ =\frac{113}{24}\\\\ =4\frac{17}{24}

This means 4\frac{17}{24} feet of board remains after removing the smaller board from it.

6 0
3 years ago
Solve the equation f (x + 2) = f (x-2) +4, where f (x) = 3 + 2x + x ^ 2
Vlad [161]
<h2>Answer:</h2>

The value of x is -1/2

<h2>Step-by-step explanation:</h2><h3>Question :</h3>

Solve the equation of f(x + 2) = f(x - 2) + 4, where f(x) = 3 + 2x + x^2

<h3>Solution :</h3>

First, we need to split the equation and find the answer to each function

f(x + 2) = 3 + 2(x + 2) + (x + 2)^2

f(x + 2) = 3 + 2x + 4 + x^2 + 4x + 4

<u>f(x + 2) = x^2 + 6x + 11</u>

f(x - 2) = 3 + 2(x - 2) + (x - 2)^2

f(x - 2) = 3 + 2x - 4 + x^2 - 4x + 4

<u>f(x - 2) = x^2 - 2x + 3</u>

Second, we need to find the value of x

f(x + 2) = f(x - 2) + 4

=> x^2 + 6x + 11 = x^2 - 2x + 3 + 4

=> x^2 - x^2 + 6x + 11 = - 2x + 3 + 4

=> 6x + 11 = -2x + 7

=> 6x = -2x - 4

=> 6x + 2x = -4

=> 8x = -4

=> x = -1/2

<h3>Conclusion :</h3>

The value of x is -1/2

3 0
2 years ago
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