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Lady_Fox [76]
3 years ago
9

Fluffy, Spot and Skampy have a combined age in dog years of 91. Spot is 14 years younger than Fluffy. Skampy is 6 years older th

an Fluffy. Create and solve an equation to find the age of Fluffy. Justify.
Mathematics
1 answer:
WITCHER [35]3 years ago
8 0

Answer: fluffy = 33yrs

Spot = 19 yrs

Skampy = 39 yrs

Step-by-step explanation:

Let fluffy = x

Spot = y

Skampy =z

x + y + z = 91 -------1

x -14 =y ------2

z = x + 6 --------3

Put eqn 2 and 3 in eqn 1

x + x - 14 + x + 6 = 91

3x = 99

x = 33

y = 33-14= 19

z = 33+6 = 39

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\displaystyle  \\ 
6x(3x + 1) = 0 \\  \\ 
\Longrightarrow ~~ 6x = 0~~\texttt{or}~~3x+1=0 \\  \\ 
6x = 0 ~~\Longrightarrow ~~ x_1 =  \frac{0}{6} = \boxed{0} \\  \\ 
3x+1 = 0 ~~\Longrightarrow ~~ 3x = -1  ~~\Longrightarrow ~~ x_2 =  \frac{-1}{3} = \boxed{-\frac{1}{3}} \\  \\



4 0
3 years ago
How can I solve these problems​
Anuta_ua [19.1K]
Here’s the first few and you can do the rest with the same principles. If you need more help with the last ones then let me know

4 0
3 years ago
The classes At the middle school want to rise money the 6 grade runs a bake sale 5 hours and makes 170 the 7 grade sets up a dru
kaheart [24]
Sixth grade
Because if you divide their total profit by the total amount of hours they worked, you would find that the sixth grade's income per hour is the highest.
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8 0
3 years ago
For the function F defined by F(x)=x2−2x+4, find F(−2).
Kruka [31]

Answer:

12

Step-by-step explanation:

x^2-2x+4  replace -2 for x

-2^2-2(-2)+4

4+4+4

12

4 0
3 years ago
Read 2 more answers
What is the distance from point (– 1, 3) to the line 3x – 4y = 10?​
natta225 [31]

Answer:

5 units

Step-by-step explanation:

The distance from a point (m, n ) to the line Ax + By + C = 0 is given by

d = \frac{|Am+Bn+C|}{\sqrt{A^2+B^2} }

For the point (- 1, 3 ) , with m = - 1 and n = 3

3x - 4y = 10 ( subtract 10 from both sides )

3x - 4y - 10 = 0

with A = 3 , B = - 4 , C = - 10

d = \frac{|3(-1)+(-4)3-10|}{\sqrt{3^2+(-4)^2} }

   = \frac{|-3-12-10|}{9+16}

   = \frac{|-25|}{\sqrt{25} }

    = \frac{25}{5}

     = 5

5 0
2 years ago
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