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Mekhanik [1.2K]
3 years ago
14

Haley has 4 more dollars than Alicia. If Haley and Alicia have 22 dollars altogether how much money does each of them have?

Mathematics
2 answers:
jolli1 [7]3 years ago
7 0

Answer

Haley has 13 while Alicia has 9

Step-by-step explanation:

together they have 22 dollars together but haley has 4 more dollars than Alicia. IF We minus 4 from the entire equation, then they would have 9 each and if we add back Haleys amount Haley would be 9+4 which is 11

fiasKO [112]3 years ago
6 0

Answer:

Alicia has 9 dollars and Haley has 13 dollars.

Step-by-step explanation:

Let Alicia's money be x. Hence, Haley's money will bex+4

Together: x+x+4=2x+4.

Therefore, 2x+4=22

Subtract 4 from both sides:

2x=18

Thus, x=9. Alicia has 9 dollars.

Haley's amount: x+4=9+4=13.

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Solve: a + 4 = 48<br> a = 43<br> a = 51<br> a = 44<br> a = 52
andrew11 [14]

Answer:

a = 44 is correct

Step-by-step explanation:

a + 4 = 48

plug in the #'s 1 at a time

43 + 4 = 48

47 = 48  FALSE

51 + 4 = 48

55 = 48  FALSE

44 + 4 = 48  TRUE

52 + 4 = 48  FALSE

Hope this Helps!!!

5 0
3 years ago
The base is the pyramid is an equilateral triangle. What is the approximate volume of the pyramid? Pyramid with a triangular bas
ser-zykov [4K]
ANSWER

\boxed { C. \:  \:   \: 57.7 {cm}^{3} }

EXPLANATION

The volume of a pyramid is given by the formula,


V =  \frac{1}{3}  \times base \: area  \times height


The base of the pyramid is an equilateral triangle.


The base area is

=  \frac{1}{2}  \times base  \times  height


=  \frac{1}{2}  \times 10 \times 8.66


= 43.3 {cm}^{2}


The volume of the pyramid is now equal to:


V =  \frac{1}{3}  \times 43.3 \times 4 {cm}^{3}



V = 57.7{cm}^{3}

4 0
3 years ago
How is 51.7 written in words
goblinko [34]

Fifty-one and seven tenths  ~ or, simpler ~  fifty-one point seven.

6 0
3 years ago
What is the leading coefficient of this polynomial?<br> (x) = 3x^2- 0:2x^5+ 7x?
lawyer [7]

Answer:

Step-by-step explanation:

I do not understand 0:2 in this formule: (x) = 3x^2- 0:2x^5+ 7x?

Does that mean 0:2=0??

7 0
3 years ago
MARSVECTORCALC6 3.4.020. My Notes A rectangular box with no top is to have a surface area of 64 m2. Find the dimensions (in m) t
ioda

Answer:

We would have

                                    l =w =\frac{8\sqrt{3}}{3} \\h = \frac{8\sqrt{3}}{6}

where " l " is  length, " w"  is width and "h" is height.

Step-by-step explanation:

Step 1

Remember that

         Surface area for a box with no top = lw+2lh+2wh = 64

where " l " is  length, " w"  is width and "h" is height.

 Step 2.

Remember as well that

                              Volume of the box = l*w*h

Step 3

 We can now use lagrange multipliers.  Lets say,

                                    F(l,w,h) = lwh

and

                                g(l,w,h) = lw+2lh+2wh = 64

By the lagrange multipliers method we know that                            

 

                                                     \nabla F  = \lambda \nabla g

Step 4

Remember that

                          \nabla F  = (wh,lh,lw)

and

                      \nabla g = (w+2h,l+2h , 2w+2l)

So basically you will have the system of equations

                              wh = \lambda (w+2h)\\lh = \lambda (l+2h)\\lw = \lambda (2w+2l)

Now, remember that you can multiply the first eqation, by "l" the second equation by "w" and the third one by "h" and you would get

                                   lwh = l\lambda (w+2h)\\\\lwh = w\lambda (l+2h)\\\\lwh = h\lambda (2w+2l)

Then you would get

                      l\lambda (w+2h) = w\lambda (l+2h) =  h\lambda (2w+2l)

You can get rid of \lambda from these equations and you would get

                         lw+2lh = lw+2wh =  2wh+2lh

And from those equations you would get

                                             l = w =2h

Now remember the original equation

                                    lw+2lh+2wh = 64

If we plug in what we just got, we would have

                                 l^{2} + l^{2} + l^2   =  64 \\3l^{2} = 64 \\l = w = \frac{8\sqrt{3} }{3} \\h = \frac{8\sqrt{3} }{6}

                       

                                                 

7 0
4 years ago
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