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lina2011 [118]
2 years ago
15

3 sisters are each 2 years apart in age. the youngest sister is emily, the middle sister is samantha and the oldest sister is la

uren. together their combined ages are 42. how old is each sister?
a. define the variable(s).
b. write an equation for this situation using one variable.
c. solve the equation for the ages of the 3 sisters. font family font size
Mathematics
1 answer:
Bad White [126]2 years ago
7 0
Emily = x
Samantha = x + 2
Lauren = x + 4

x + (x + 2) + (x + 4) = 42

x = 12

Thus: 

Emily = 12
Samantha = 14
Lauren = 16
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3(9x-9)=16+3(-2x+9) please help me
Maru [420]
<span>3(9x-9)=16+3(-2x+9)
27x - 27 = 16 - 6x + 27
27x + 6x = 16 + 27 + 27
33x = 70
x = 70/33
x = 2 4/33

In short, Your Answer would be 70/33 or 2 4/33 

Hope this helps!</span>
5 0
3 years ago
Algebra help please !
umka2103 [35]

Answer:

g(f(0)) = 2

Step-by-step explanation:

To find g(f(0)), you must first find f(0).

f(x) = 3x + 1

f(0) = 3(0) + 1 = 0 + 1 = 1

Now you input 1 into function g(x).

g(x) = (4x + 2)/3

g(1) = [4(1) + 2]/3

g(1) = [4 + 2]/3

g(1) = 6/3

g(1) = 2

g(f(0)) = 2

6 0
2 years ago
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A square pyramid has a height of 6 units and a volume of 70 units3. If a square prism has the same base area and volume as the s
inysia [295]

Answer:

The height is 2 units

Step-by-step explanation:

Find the area of the base of the square pyramid

we know that

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V=\frac{1}{3}BH

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we have

H=6\ units

V=70\ units^{3}

substitute in the formula and solve for B

70=\frac{1}{3}B(6)

B=70/2=35\ units^{2}

step 2

Find the height of the square prism

we know that

The volume of the square prism is equal to

V=Bh

where

B is the area of the base and h is the height of the prism

we have

B=35\ units^{2}

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3 0
3 years ago
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Can somebody answer this?
allsm [11]

Let us find the area of the triangle first.

6 x 8 / 2 = 24 ft²

Now we can do the semi circle. Note that it is a semi circle and not a circle.

1/2π(4²) = 8π = 25.12 ft²

Add the areas up to find the area for the figure.

24+25.12 = 49.12 ft²

5 0
3 years ago
A game has a deck of cards with 10 red cards, 4 blue cards, and 2 yellow cards. You randomly choose two cards. Find the probabil
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0.02% would be of choosing a blue and a yellow card because there 16 cards so you are only choosing two cards 
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