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jeka57 [31]
3 years ago
8

Allie's mother is four times as old as Allie. In 16 years her mother will be twice her age. How old is Allie now?

Mathematics
1 answer:
Kay [80]3 years ago
8 0
What do you mean? At first it was 4 times as old, then it's twice her age?
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What is the simplified version of <img src="https://tex.z-dn.net/?f=%282%5Csqrt%7B5%7D%2B3%29%28%5Csqrt%7B5%7D-1%29" id="TexForm
Tpy6a [65]

ANSWER

EXPLANATION

We want to simplify:

(2\sqrt{5}+3)(\sqrt{5}-1)

Recall the distributive property;

(a+b)(c+d)=a(c+d)+b(c+d)

We apply this property to get,

2\sqrt{5}(\sqrt{5}-1) + 3(\sqrt{5}-1)

We expand to get,

2 \times 5-2 \sqrt{5} + 3\sqrt{5}-3

This simplifies to,

10 + \sqrt{5}-3

The simplest form of the given expression is:

7 +  \sqrt{5}

7 0
4 years ago
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont k
Gekata [30.6K]

Answer:

1. C) .4

2. B) 2 1/4

3. D) 3 5/8

Step-by-step explanation:

1. The question is asking what fraction (represented in decimal form) did Maria spend. To find this, divide 18/45 because Maria spent $18 of her $45. When you complete this calculation, you get .4

2. When you look at where the line ends, it's at the first quarter line after the 2, meaning that the line is 2 and one quarter or 2 1/4

3. 8 times 3 is 24, which is the closest multiple of 8 to 29. However, since there is still 5 left over (which still needs to be divided by 8) it would be represented by the mxed fraction.

6 0
3 years ago
Find the perimeter of the triangle in units. Round to two decimal<br> places as necessary.
Dimas [21]

Answer:

  • 54.56 units

Step-by-step explanation:

<u>The vertices are:</u>

  • K(-12,2), L(-7,12), J(3,-10)

<u>Find the sides using distance formula:</u>

  • KL = \sqrt{(-7+12)^2+(12-2)^2} = \sqrt{125} ≈ 11.18
  • LJ = \sqrt{(3+7)^2+(-10-12)^2}  = \sqrt{584} ≈ 24.17
  • KJ = \sqrt{(3+12)^2+(-10-2)^2} = \sqrt{369} ≈ 19.21

<u>Find perimeter:</u>

  • P = KL + LJ + KJ
  • P = 11.18 + 24.17 + 19.21 = 54.56 units
4 0
3 years ago
Can I get a case in which 0 is not nothing
Tamiku [17]
0 represents nothing so if you have 5 apples you ate 5 of them you have nothing left.
5 0
3 years ago
Kevin is 4 times as old as Daniel and is also 6 years older than Daniel
MAXImum [283]

Answer:

Part a) Daniel's age is 2 years

Part b) Kevin's age is 8 years

Step-by-step explanation:

<u><em>The question is </em></u>

Part a) How old is Daniel?

Part b) How old is Kevin?

Let

x ----> Kevin's age

y ----> Daniel's age

we know that

x=4y-----> equation A

x=y+6 ----> equation B

Equate equation A and equation B

4y=y+6

solve for y

4y-y=6

3y=6

y=2

therefore

Daniel's age is 2 years

<em>Find the value of x</em>

substitute the value of y in any of the two equations

x=4(2)=8\ years

x=2+6=8\ years

therefore

Kevin's age is 8 years

6 0
3 years ago
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