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anzhelika [568]
3 years ago
8

Jacob and Sara went to a restaurant, Jacob ordered a sandwich combo for $8.99 and Sarah ordered a salad combo for $7.95. They ag

reed on an 18% tip and that they would split the check evenly in half. How much, to the penny, did each of them spend?
Mathematics
1 answer:
Umnica [9.8K]3 years ago
8 0
The answer is is 27.72
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Can someone help, please ;)
8090 [49]

Answer:

7/12 would be ur answer

Step-by-step explanation:

6 0
3 years ago
Solve the Quadratics:
klasskru [66]

Answer:

Step-by-step explanation:

1 ) k²-8k = 0

k(k-8)=0

k = 0 or k=8

2) a²+5a=0

a(a+5) = 0

a=0 or a  = - 5

3 ) 6n²+5n-25=0

delta = b²-4ac      b =5 and a = 6   and   c= - 25

delta = 5²-4(6)(-25) = 625 = 25²

n 1 = (-5+25)/12 = 20/12 = 5/3

n 2 = (-5-25)/12 = -  30/12  = -5/2

same method for 4) and 5)

6 0
3 years ago
What is the area of the white border?
Lina20 [59]

Answer:

A_{white} = 119\ cm^2

Step-by-step explanation:

<u>Step 1:  Determine the area of the black area</u>

A = l * w

A = 8\ cm * 2\ cm

A = 16\ cm^2

<u>Step 2:  Determine the area of the entire white and black area</u>

A = l * w

A = 9\ cm * 15\ cm

A = 135\ cm^2

<u>Step 3:  Determine the difference to just get the white area</u>

A_{white} = 135\ cm^2 - 16\ cm^2

A_{white} = 119\ cm^2

Answer: A_{white} = 119\ cm^2

4 0
2 years ago
The derivative of (x^2 +1)(x^3+ 1) (by definition and basic rule)
dlinn [17]

Answer:

f'(x) = 5x^4 + 2x + 3x^2

Step-by-step explanation:

To find the derivative of this equation we can do two things.

One method is to use the product rule, which states that when f(x) consists of two functions multiplied to each other (meaning f(x) = g(x) * h(x)), the derivative is f'(x) = g'(x)*h(x) + g(x)*h'(x). In simple language, the derivative is found by finding the derivative of x² + 1 and multiplying it with the normal function of x³ + 1, after which you add the product of the nnormal function of x² + 1 and the derivative of x³ + 1.

it might be clearer when I show you:

f(x) = (x^2 + 1)(x^3 + 1)\\f'(x) = (2x)(x^3 + 1) + (x^2 + 1)(3x^2)\\Simplify:\\f'(x) = 2x^4 + 2x + 3x^4 + 3x^2 = 5x^4 + 3x^2 + 2x\\

If you are not familiar with this rule you can first write out the function and then use the basic rule:

f(x) = (x^2 +1)(x^3+1) = x^5 + x^2 + x^3 + 1\\f'(x) = 5x^4 + 2x + 3x^2

If you need any further help please say so in the comments! I hope this helps! If the steps seem complicated, I suggest you could revise expanding brackets (the first step of the second method) and the basic rules of deriving, but feel free to reach out if you struggle afterwards still

8 0
3 years ago
What does | 3+i | equal
prohojiy [21]
The straight lines are asking to find the modulus or the size of the complex number.
For a complex number  z = x + iy,  [z] = √(x^2 +y^2)
Where x = Real Number, y = Imaginary number.
For 3 +i,  x = 3, y = 1    (Note y is what number that is attached to i)

[3 + i] = √(3^2 +1^2) = √10 = 3.162
4 0
3 years ago
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