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.

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Related Questions

HELP ILL GIVE YOU 50 POINGS

Answers

Answer:

D

Step-by-step explanation:

Break it into different shapes and find the areas. add the areas for the answer: D

9x4=36

9x20=180

9x2=18

36+180+18=234

Answer:

d

Step-by-step explanation:

((4*9)/2)+(4*9)+(9*20)

Help please!! and actually try to solve it this is a test and I wanna do good

Answers

Answer:

After doing the math, I came up with B and/or C could be the answer

I think it’s gonna be 1 1 and 2 because you need to have 2 sides that are the same.

whats 3(x + 2) = 21?
show work please !!​

Answers

Answer:

x=5

Step-by-step explanation:

[tex]3(x+2)=21[/tex]

[tex]3x+6=21[/tex]

[tex]3x+6-6=21-6\\\\3x=15\\\\\frac{3x}{3} = \frac{15}{3} \\\\x=5[/tex]

Answer:

x = 5

Step-by-step explanation:

You first have to multiply 3 by x and 2, and you would get 3x and 6. 3(x + 2)=3x +6

Then you have to move the 6 to the other side and it will become negative. 3x= -6 +21

Then you subtract 21-6 to get 15. 3x = 15

Then you are left with 3x = 15.

Divide 3 from both sides and you get x =5.

HOLA IM DORA AND IM GONNA NEED YOUR HELP FIGURING OUT THIS EQUATION?..... MUCHAS GRACIAS. what are the x-intercepts of the graph of y=x^2+5x+6?

A. (-2,0) and (-3,0)

B. (6,0) and (5,0)

C. (2,0) and (3,0)

D. (-6,0) and (-5,0)

Answers

Answer:

D

Step-by-step explanation:

yeah

Quadrilateral JKLM is a kite as such KM is a perpendicular bisector of J L at point P given that KP =4" JL equals 12" and AML equals 20" was the length of the permenter of the quad JKlM?

Answers

Answer:

40 + 4√13

Step-by-step explanation:

A kite is a quadrilateral (has four sides) with two pairs of equal adjacent sides. The longer diagonal of a kite bisects the shorter diagonal.

Since in kite JKLM, diagonal KM bisects JL, hence KM is the longer diagonal.

JP = LP

JL = 12

JL = JP + LP

12 = JP + LP

2JP = 12 (LP = JP)

JP = 6

We can find JK using Pythagoras theorem, hence:

JK² = JP² + KP²

JK² = 4² + 6²

JK² = 16 + 36

JK² = 52

JK = √52 = 2√13

JK = KL = 2√13

ML = JM = 20

Perimeter of kite = JK + KL + ML + JM = 20 + 20 + 2√13 + 2√13

Perimeter of kite = 40 + 4√13

Which table represents viable solutions for y = 5x, where x is the number of tickets sold for the school play and y is the amount of money collected for the tickets?

Answers

Answer:

Where,

x: he number of tickets sold

y: the amount of money collected for the tickets

The domain of the function must be:

Therefore, we must find a table that complies with this restriction and also have the corresponding values for x and y.

The first table complies with the restriction and has correct values for the variables:

x y

0 0

10 50

51 255

400 2000

The answer is the first table that  represents viable solutions for y = 5x.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

The given function is y = 5x

Where x is the number of tickets sold for the school play

And y is the amount of money collected for the tickets.

For this case we have the following equation:

The first table complies with the restriction and has correct values for the variables:

  x     y

  0     0

 10   50

 51   255

400 2000

Let's check all of the tables:

Table 1:

x = 0, y = 0               ⇒        0 = 5 · 0         ⇒          0 = 0  

x = 10, y = 50           ⇒      50 = 5 · 10        ⇒        50 = 50

x = 51, y = 255         ⇒    255 = 5 · 51        ⇒      255 = 255

x = 400, y = 2000    ⇒ 2000 = 5 · 400     ⇒   2000 = 2000

Since all calculations from the first table are correct.

We know that the number of tickets and amount of money collected for the tickets cannot be negative thus, options A and B are incorrect.

Since the ordered pair (65,350) does not satisfy the given equation, therefore the option D is incorrect.

Hence, the correct option is C.

Learn more about function here:

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Is the relation shown in the arrow diagram a function? Justify your answer.

Alternative text


Yes. The input 0.8 and 0.4 have only one output.


Yes. Each output has only one input.


No. Each input has only one output.


No. The input 1.2 has 2 outputs.

Answers

Answer:

No. The input 1.2 has 2 outputs.

Step-by-step explanation:

See attachment for complete question

The first circle represents the domain while the second represents the range of the function.

For a mapping to be a function, it must either be a one to one relationship or a many to one relationship.

One to one, in the sense that; there can be only one entry in the domain points to one entry in the range of the function.

Many to one, in the sense that: there can be multiple domain entries that point to one entry in the range of the function

However, from the attachment it can be seen that an entry in the domain (1.2) points to two entries in the range (6 and 8).

Hence, this does not represent a function.

ANSWER ASAP FOR BRAINLIEST

Answers

Answer:

I CANT SEE THE IMAGE BUT I NEEED POINTS xD

Step-by-step explanation:

PERIODDDDDDDDD

Answer:

Laptops, 82 is the largest number when you look at the totals.

Step-by-step explanation:

gender|    electronic tablet | Laptop | Both | Neither | Total

----------|----------------------------|------------|---------|-------------|--------

girl       |      13                       |    51      |   8     |      17      |   89

boy      |      12                       |    31      |   5     |      13      |   61

total     |      25                      |    82     |   13    |     30     |    150

LMK If I have to explain but I basically just got the 150 students from the directions and went from there.

I WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST!!!


O’Barr charges $25 for customized shirts and $15 for customized mugs. It cost $80 to make x shirts and y mugs. Which equation represents this situation?


25x + 15y = 80

40yx = 80

15x + 25y = 80

15x + 80y = 25

Answers

Answer:

25x + 15y =18

Step-by-step explanation:

that is the answer cause x goes with shirts and y with mug and lastly 80 is the total

What are the names of three collinear points?

Answers

Points L, J, and K are collinear

What’s the probability?

Answers

Answer:

sorry I don't know

Step-by-step explanation:

OK

OK jsjzjxjxndzkxk

s

PLZ MARK ME AD BRAINLIST

If you were to roll a die one time, what is the probability of it landing on an odd number

Answers

Answer:

It's one half.

Step-by-step explanation:

There are six sides on a dice, three of those sides (this is half) have negative numbers. Therefore the probability is 1/2 or 0.5 or a half.

Omg what kinds of questions are these do teachers really think we can tell if it’s gonna land on a odd number

|×|=×
is the absolute value of x always, sometimes, or never x​

Answers

Answer:

Sometimes

Step-by-step explanation:

I’ll give you an example so you can understand:

Let’s say x is 4. So plug 4 into the problem:

|4|=4  →  This is a very true statement, where the absolute value of 4 is equal to 4.

Now, let’s say x is -7. So plug -7 into the problem:

|-7|=-7  →  This is a false statement because it’s saying that the absolute value of -7 is -7 which is very untrue.

So |x|=x only works for positive numbers, but not negative numbers. Therefore, |x|=x is the absolute value of x sometimes.

Hope this helps and answers your question! :)

Determine all values of k that make each of the following a perfect square trinomial. X^2+8x+k

Answers

Answer:

k can either be

12

or

12

.

Step-by-step explanation:

Consider the equation

0=x2+4x+4

. We can solve this by factoring as a perfect square trinomial, so

0=(x+2)2→x=−2 and−2

. Hence, there will be two identical solutions.

The discriminant of the quadratic equation (b2−4ac) can be used to determine the number and the type of solutions. Since a quadratic equations roots are in fact its x intercepts, and a perfect square trinomial will have

2 equal, or 1

distinct solution, the vertex lies on the x axis. We can set the discriminant to 0 and solve:

k2−(4×1×36)=0

k2−144=0

(k+12)(k−12)=0

k=±12

Help please! Write the equation for the line.

Answers

Answer:

y=x-3

Step-by-step explanation:

The slope goes up by 1 and the y intercept is -3

Can you measure 4 gallons of water using a 3 gallon jar and a 6 gallon jar?

Answers

Answer:

yes just fill up the 6 gallon jar up to the 4 galon mark

Step-by-step explanation:

Yes you can divide the 6 gallon jar in 6 levels. You can see how much water it is where witch level the water is

_______ ÷ 39 = 1755

_______÷ 1755 = 39
say how you did it or show a pic of how you did it if you show a pic of how you did the work then ill give you the crown that i forgot the name of it

Answers

Answer:

Step-by-step explanation:

1755*39= 68445

68445/39=1755

68445/1755=39

Estimate a 15% tip on a dinner bill of $31.53 by first rounding the bill amount to the nearest ten dollars.

Answers

Answer:

Should be around 4.5

Step-by-step explanation:

If you round 31.53 to the nearest ten dollars, you get 30, 15 percent of 30 is 4.5

4.73 if it’s one person & if it’s for 2 people then 2.36 per person

Which pair shows equivalent expressions?

A. 2x + 10 = -2(x - 5)
B. -2(x + 5) = 2x -10
C. -2x - 10 = -2(x + 5)
D. -2(x - 5) = -2x - 10

Answers

Answer:

It's C

Step-by-step explanation:

When you multiply - 2 to what you have in the brackets you get - 2x - 10

Hope this helps, have a wonderful day

Determine the nth term rule and find the 45th term for the arithmetic sequence with a10=1 and d=−6.

Answers

Answer:

a(45) =-209

Step-by-step explanation:

a(n) = a +(n-1)d

d=-6

we have to get a1

By using:

a(10) = a1 +(10-1)-6=1

a(10) = a1 +(9)-6 =1

          a1  =1+54=55

So:a(45) = 55 +(45-1)-6=-209

hope this helps

blank ÷ 3/7= 7/15. ​

Answers

Answer:

1 4/45

Step-by-step explanation:

NEED HELP!!!

Is an equation that has 0 for a solution the same as an equation with no solution? Explain.

Answers

Answer:

No.

Step-by-step explanation:

The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation.

what is the value of f(x) when x=3 -3 -3 1 4

Answers

Answer:

C 0<h<1400

Step-by-step explanation:

You have to calculate the first 40 hours of pay at a 20$ rate which is $800. Then you have to calculate the overtime which is the remaining 20 out of 69 hours he can work times 30$ which is $600

$600+$800=$1400, which is the maximum amount he could make

Help me please find the equation of the line

Answers

Y = x - 5 is the equation you need

Answer:

y= [tex]\frac{-1}{24}[/tex]x - [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

(4,-1),(6,1): two points

-1(1)/4(6): find slope

slope: [tex]\frac{-1}{24}[/tex]

write in point-slope form: y+1=[tex]\frac{-1}{24}[/tex](x-6)

y= [tex]\frac{-1}{24}[/tex]x - [tex]\frac{3}{4}[/tex]

through: (3, 5) parallel to y=3x-1

Answers

Answer:  y = 3x - 4  will be the parallel line to the line  y= 3x -1

Step-by-step explanation:

Parallel lines have the same slope but different y intercepts, so using the equation given , use the formula y=mx +b  where m is the slope and b is the

y - intercept ,and input the x and y coordinate to solve for b. Input the same slope into the formula because they will have the same slope.

 5= 3(3) + b  

5 =  9  + b

-9    -9

b = -4    

Since the y intercept is negative 4, the equation will be  y = 3x -4

y = 3x-4 yuh yuh yuh yuh

Larry was 56 inches after his 6th grade year. After his 7th grade year he was 72 inches. What percent change in height happened to Larry? A. 22.22% B. 28.57% C. 77.77% D. 1.28%

Answers

Answer:

B. 28.57%

Step-by-step explanation:

Change in height:

72 - 56 = 16

Percent of change:

16/56*100% = 28.57%

Correct choice is B

Help ASAP!!! It’s 6th grade work

Answers

The answer is B you divided 6 by 2 then multiply it by 6
each ride costs $3.
6 divided by 2 is 3.
15 divided by 5 is 3.
27 divided by 9 is 3.

so, 6 rides will have to be multiplied by $3, since each ride is $3.

6 multiplied by 3 = 18

the answer is b) $18

hope this helps!!

Solve the triangle. Round side lengths to the nearest tenth and angle measures to the nearest degree.​

Answers

Answer:

b = 13.8

A = 45°

C = 35°

Step-by-step explanation:

Given:

m<B = 100°

a = 10

c = 8

Required:

b, m<C, and m<A

✔️Find b using Cosine Rule:

b² = a² + c² - 2*ac*Cos(B)

Plug in the values

b² = 10² + 8² - 2*10*8*Cos(100)

b² = 164 - (-27.7837085)

b² = 191.783709

Take the square root of both sides

b = 13.8 (nearest tenth)

✔️Find m<C using Sine rule:

[tex] \frac{Sin(C)}{c} = \frac{Sin(B)}{b} [/tex]

Plug in the values

[tex] \frac{Sin(C)}{8} = \frac{Sin(100)}{13.8} [/tex]

Multiply both sides by 8

[tex] \frac{Sin(C)}{8} \times 8 = \frac{Sin(100)}{13.8} \times 8 [/tex]

[tex] Sin(C) = \frac{Sin(100) \times 8}{13.8} [/tex]

[tex] Sin(C) = 0.5709 [/tex]

[tex] C = Sin^{-1}(0.5709) [/tex]

[tex] C = 35 [/tex] (nearest degree)

m<C = 35°

✔️m<A = 180 - (100 + 35) (sum of triangle)

m<A = 180 - 135

m<A = 45°

someone please help me. show your work for brainliest.

find the center and radius of the circle represented by the equation x^2 + y^2 - 4y - 8 = 0

Answers

Answer:

Attached file

Step-by-step explanation:

find the value of this expression if x= -7

x^2+5/x+1

Answers

Answer:

-9

Step-by-step explanation:

Replace x with -7 in the expression:

x^2 + 5 / x + 1

-7^2 + 5 / -7 + 1

49 + 5 / -6

54/-6

simplify the fraction

9/-1 = -9

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