Vivienne has 5 pets, all of which are either birds or cats. Her pets have a total of 14 legs. Choose the system of equations that can be solved to find the number of birds that Vivienne owns, b, and the number of cats that Vivienne owns, e.

Answers

Answer 1

Answer:

the system of equations is

b + e = 5

2b + 4e = 14

and the solved system gets you to the conclusion that vivienne has 3 birds and 2 cats

Step-by-step explanation:

b is the amount of birds and e is the amount of cats so adding them together would give you 5, the total amount of pets. so this is the first equation:

b + e = 5

next, we know that birds have two legs and cats have 4, so those respective numbers times the amount of each animal will give you 14, the amount of legs. so the equation would be:

2b + 4e = 14

so the system of equations would be

b + e = 5

2b + 4e = 14

i wasnt sure if you also needed to solve it but here it is solved

b = 5 - e

2(5 - e) + 4e = 14

10 - 2e + 4e = 14

10 + 2e = 14

2e = 4

e = 2

so using subsitution you would get b by using the value of e in the first equation.

b = 5 - e

b = 5 - 2

b = 3

so vivienne has 3 birds and 2 cats.

Answer 2

The required number of birds and cats Vivienne have is 3 and 2 respectively.

What are simultaneous linear equations?

Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.

Here,
Vivienne has 5 pets, all of which are either birds or cats.
Let the number of birds be x, and the number of cats be y,
x + y = 5, - - - - -(1)

Now,  Her pets have a total of 14 legs. Since a bird has 2 legs and a cat has 4 lags
According to the question,
2x + 4y = 14 - - - - -(2)

Solving equations 1 and 2,
2x + 4 (5 -x) = 14
2x + 20 - 4x = 14
2x = 6
x = 3

Now,
3 + y = 5
y = 2

Thus, the required number of birds and cats Vivienne have is 3 and 2 respectively.

Learn more about simultaneous equations here:

https://brainly.com/question/16763389

#SPJ5




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??

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Step-by-step explanation:

1

0

(

+

1

)

=

2

7

{\color{#c92786}{10(x+1)}}=2x-7

10(x+1)=2x−7

1

0

+

1

0

=

2

7

{\color{#c92786}{10x+10}}=2x-7

10x+10=2x−7

2

Subtract

1

0

10

10

from both sides of the equation

3

Simplify

4

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2

2x

2x

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5

Simplify

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Step-by-step explanation:

The cost C, in dollars, to have medical records transcribed is a function of time, t in hours. A physician's group spends C(t) = 0.04t3 – 0.1t2 + 5.5t dollars to transcribe the physician's. Notes to an electronic document each month. What is the instantaneous rate of change when the transcriptionist has spent 100 hours transcribing records? A) $118.50 B)$395.50 C)$1,185.50 D)$1,195.50

Answers

Answer:

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Step-by-step explanation:

The expression for the function is not well-formatted, find the correct format in the solution bellow

Step one:

given data

We are told that the function of the cost is

[tex]C(t) = 0.04t^3- 0.1t^2 + 5.5t[/tex]

instantaneous rate c(t) is the value obtained when we plug in 100 for t in the function above

substituting we have

[tex]C(t) = 0.04(100)^3- 0.1(100)^2 + 5.5(100)\\\\\C(t) = 0.04*1000000- 0.1*10000 + 5.5*100\\\\C(t) = 40000-1000+550\\\\C(t) = 39550[/tex]

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Step-by-step explanation:

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T = how tall
W = how wide.
T = W + 25 is the first equation
5
×
{
2
(
T
+
10
)
}
+
5
×
(
2
×
W
)
=
1350
This equation is the total height adding 5 for the top border and 5 for the bottom border. Then multiplying the total height by the width of the border 5, time 2 because there are two sides that are tall Then adding 5 times two widths.
Now substitute the value of W + 25 for T this gives
# 5 xx (2 xx W + 25 +10)+ 5 xx 2W = 1350 solving for W
5
×
(
2
W
+
50
+
20
)
+
10
W
=
1350
10
W
+
5
(
70
)
+
10
W
=
1350
20
W
+
350
=
1350
20
W
+
350

350
=
1350

350
20
W
=
1000
W = 50
T = 50 + 25
T = 75

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Step-by-step explanation:

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Answers

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Answers

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Answers

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Answers

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Step-by-step explanation:

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