John bought 8 birds and 6 pigeons for $2400. If he had bought 1 more pigeon and 2 fewer birds, he would have paid $200 more. What is the cost for 1 love bird and 1 pigeon?

Answers

Answer 1

Answer: 1 pigeon is $320

1 love bird is $80

Step-by-step explanation:

Let the cost for 1 love bird be represented by x

Let the cost for 1 pigeon be represented by y.

Since John bought 8 birds and 6 pigeons for $2400. This will be:

8x + 6y = 2400 ...... i

If he had bought 1 more pigeon and 2 fewer birds, he would have paid $200 more. This will be:

6x + 7y = 2600 ...... ii

8x + 6y = 2400 ...... i

6x + 7y = 2600 ...... ii

Multiply equation i by 6

Multiply equation ii by 8

48x + 36y = 14400 ...... iii

48x + 56y = 20800 ...... iv

Subtract iii from iv

20y = 6400

y = 6400/20

y = 320

1 pigeon is $320

From equation i

8x + 6y = 2400

8x + 6(320) = 2400

8x + 1920 = 2400

8x = 2400 - 1920

8x = 480

x = 480/8

x = 60

1 love bird is $80


Related Questions

Hi can anyone pls help me with this problem I would really appreciate it !

Answers

Answer:

A

Step-by-step explanation:

The scale factor k is the ratio of corresponding sides, image to original.

k = [tex]\frac{CP'}{CP}[/tex] = [tex]\frac{15}{75}[/tex] = 0.2

Since k < 1 this represents a reduction.

35/48*100 fraction into percentage.​

Answers

Answer:

729167

Step-by-step explanation:

Now we can see that our fraction is 72.916666666667/100, which means that 35/48 as a percentage is 72.9167%.

Select all the correct answers.
Which expressions are equivalent to the given expression?

Answers

Answer:

6√7=15.874507866387543=√252

Step-by-step explanation:

hope this is helpful

The expression that are equivalent to √252 are [tex]252^{\frac{1}{2} }[/tex] and 6√7.

How to find equivalent expression?

Applying the surd rule,

√a = [tex]a^{\frac{1}{2} }[/tex]

Hence,

[tex]\sqrt{252}=252^{\frac{1}{2} }[/tex]

using surd rule, we can also decompose √252

Therefore,

√252 = √36 × 7 = 6√7

Hence, the equivalent expression of √252 are as follows:

[tex]252^{\frac{1}{2} }[/tex]6√7

learn more on expression here: https://brainly.com/question/27768447

#SPJ2

The diameter of a circle is 19 inches. If the diameter is extended 5 inches beyond the circle to point C, how long is the tangent segment from point C to the circle? Use the figure below to help guide your response. Explain your answer and show all work.

Answers

Answer:

Exact Length = 2*sqrt(30)

Approximate Length = 10.95445

======================================================

Work Shown:

(tangent)^2 = (external secant)*(whole secant)

(CD)^2 = (CB)*(CA)

(CD)^2 = (CB)*(CB+BA)

x^2 = 5*(5+19)

x^2 = 120

x = sqrt(120)

x = sqrt(4*30)

x = sqrt(4)*sqrt(30)

x = 2*sqrt(30)  .......... exact length

x = 10.95445 ............. approximate length

The length of the tangent segment is; x = 10.95

Length of Tangent

From secant theorem, we know that;

Tangent ² = length of external secant × total length of secant.

From the image, we see that;

Length of tangent is x.

External secant = 5

Total length of secant = 19 + 5 = 24

Thus;

x² = 5 × 24

x² = 120

x = √120

x ≈ 10.95

Read more about length of tangent at;https://brainly.com/question/9132922

Triangle N P O is shown. Line O N extends through point M to form exterior angle P N M. Angle N P O is 38 degrees. Angle P O N is 39 degrees. Exterior angle P N M is x degrees.
Which statement about the value of x is true?

x > 38
x < 39
x < 77
x > 103

Answers

Answer:

77

Step-by-step explanation:

i took the test

Answer:

c

Step-by-step explanation:

Consider the series 1/4+1/6+1/9+2/27+4/81+....


Does the series converge or diverge?


Select answers from the drop-down menus to correctly complete the statements.

Answers

Answer:

The series converges as any two consecutive elements of the sum are monotonically decreasing.

Step-by-step explanation:

The series converges since the consecutive element is monotonically decreasing. That is:

[tex]\forall\,i\in \mathbb{N}\,a_{i} > a_{i+1}[/tex] (1)

Where:

[tex]a_{i}[/tex] - The i-th component of the sum.

[tex]a_{i+1}[/tex] - The (i+1)-th component of the sum.

Could someone help me with this, please, I’ve been struggling for the past few hours, and I need to finish this within the next hour or I’ll get a zero, please anyone, and thank you if you do know how to help me

Answers

Answer:

-383.5

Step-by-step explanation:

4+2.5+1+...-33.5

a=4

c.d. d=2.5-4=-1.5

l=-33.5

l=a+(n-1)d

-33.5=4+(n-1)(-1.5)

-33.5-4=(n-1)(-1.5)

-37.5=(n-1)(-1.5)

[tex]n-1=(-37.5)/(-1.5)=25\\n=25+1=26\\n=26\\S_{26}=\frac{n}{2} (a+l)\\=\frac{26}{2} (4-33.5)\\=13(-29.5)\\=-383.5[/tex]

Hurry I need answers to this problem

Answers

y = 1/3x

This is explained with using rise over run, as the point rises 1 time and moves over 3 times from the y intercept, hence the name. Hope this helps, and makes sense, too!

Helpppppp pls
Find h.
h = [?] in

Answers

Answer:

h=rt.96=4 rt.6

Step-by-step explanation:

r=2 inches

therefore 100= root over h + 4

          =>h=rt.96=4 rt.6

11. Kurtis is a video salesman. On each sale he earns a commission of 12%. One of
his customers bought a TV for $550 and a VCR for $400. How much did he
earn in commission?

Answers

Answer:

114

Step-by-step explanation:

550*12%=66

400*12%=48

48+66=114

What is the circumference of the circle in terms of pi 30 in?

Answers

Step-by-step explanation:

Given radius = 30 in.

Circumference is given by 2πr

= 2 × π × 30

= 60π in

The given radius is 30 inches

PLEASE HELP!!!!! very urgent asap!!! need help please

Answers

Answer:

easy

Step-by-step explanation:

What is the question

Select the correct answer.
Convert (6,150°) to rectangular form.

Answers

Answer:

A

Step-by-step explanation:

basta letter A sagot dyan

A Galapagos tortoise can 1/5 mile in an hour. How many hours would it take the tortoise to walk 1/6?

Answers

Answer:

5/6 hours

Step-by-step explanation:

Create a proportion where x is the number of hours it will take to walk 1/6 of a mile:

[tex]\frac{1/5}{1}[/tex] = [tex]\frac{1/6}{x}[/tex]

Cross multiply and solve for x:

1/5x = 1/6

x = 5/6

So, it will take the tortoise 5/6 hours to walk 1/6 of a mile

The gloom inside the house enveloped me as I stepped through the door. All around I could hear stealthy footsteps and ominous creaking. As an unearthly cry filled the room, I let out my own cry of dread.

What is the purpose of this passage?

to narrate
to persuade
to inform
to describe

Answers

Answer:

D. To narrate

Answer:

to narrate

Step-by-step explanation:

well since you are telling us what happened it is a narration

LeBron keeps track of events in his life relative to the year he was born. Relative to when he was born, his
brother was born in year 3, and his family moved in year 7
Which one of the following inequalities correctly compares the relative years?

Answers

Answer:

A

Step-by-step explanation:

change them both to absolute values->

3 and 7->

then compare->

7 is bigger :)

Answer:

7>-3

LeBron's family moved after his brother was born

:)

If the abscissa of a point is negative , then in which all quadrants the point can lies?

Answers

Answer:

The point can either lie on the second quadrant or the third quadrant

Step-by-step explanation:

Mathematically, we have the ordinate and the abscissa

The ordinate represents the y axis while the abscissa represents the x axis value

For the abscissa to be negative, it means we are talking about the negative x axis

Now, the y axis can either be positive or negative too

When it is positive , we are referring to the point lying on the second quadrant

when it is negative, we are referring to the point lying on the third quadrant

If 1 is added in numerator and denominator then a fraction changes to 4. If 1 is subtracted from the numerator and denominator, fraction changes to 7. Numerator of the fraction is

Answers

Answer:

N=15

Step-by-step explanation:

N=numerator

D=denominator

(1+N)/(1+D)=4

(N-1)/(D-1)=7

(1+N)=4(1+D)

N=4D+3

(4D+3-1)/(D-1)=7

4D+2=7(D-1)

4D-7D=-2-7

D=-9/-3=3

N=4D+3=15

calculate the percentage increase if the price of a $30 train ticket is increased to $42​

Answers

Answer:

40 % increase

Step-by-step explanation:

New price - original price

42-30 = 12

Divide by original price

12/30 = .4

Change to a percent

.4 * 100

40%

40 % increase

he perimeter of the figure is given. Find the length of the indicated side.

3x − 3
Perimeter = 14x + 2

The length of the indicated side is .

Answers

Answer:

who's he, is it me, cuz id call that a failed abortion

Answer:

I am also stuck

Step-by-step explanation:

The function h(t) = –16t2 + 96t + 6 represents an object projected into the air from a cannon. The maximum height reached by the object is 150 feet.


After how many seconds does the object reach its maximum height?


2 seconds

3 seconds

6 seconds
9 seconds

Answers

Answer:

Step-by-step explanation:

This answer can be found in the h value for the vertex of a parabola, (h, k). The k value is the max height and we were already given that information. We need to solve for h. There's an easy way and a really complicated way...I'll show you the easy way because it's actually quite useful to know, especially when doing a lot of work with quadratics!

The formula to find h is

[tex]h=\frac{-b}{2a}[/tex] and in our quadratic, a = -16, b = 96 and c = 6. Filling in what we need:

[tex]h=\frac{-96}{2(-16)}[/tex] so

h = 3

At 3 seconds the max height of 150 feet is reached.

When a number is subtracted from five times of another number the result is 10. Check which of the following are solutions of the above statement?
a) (2, 0)
b) (5, 10)
c) (3, 5)

Answers

Answer:

(3,5)

5*3 = 15 .... 15-5 = 10

Step-by-step explanation:

What is the value of x to the nearest degree?





22



63



77



68

Answers

Answer:

I need help on this to anyone please

show that 12''cannot end with the digit 0 or 5 for any natural number n.

Answers

Answer:

ano po di ko naiintindihan

Answer:

If any number ends with the digit 0 or 5, it is always divisible by 5. If 12n ends with the digit zero it must be divisible by 5. This is possible only if prime factorisation of 12n contains the prime number 5.

Step-by-step explanation:

Which function has zeros at x = -2 and x = 5? ​

Answers

Answer:

f(x) = x² - 3x - 10

Step-by-step explanation:

Given zeros x = - 2 and x = 5, then the corresponding factors are

(x + 2) and (x - 5) , so

f(x) = (x + 2)(x - 5) ← expand using FOIL

     = X² - 3X - 10

Answer:

f(x) = x² - 3x - 10

(option D)

Step-by-step explanation:

Anyone know the answer?

Answers

Answer:

Determine AC with the pythagorean theorem, then you can find CD by subtracting AD.

with DC and BC, you can find BD. again, with the pythagorean theorem

Answer:

20

Step-by-step explanation:

Find AC

[tex]\sqrt{65^{2} -16^{2} } = 63[/tex]

Substract

63 - AD = 12

Find "?"

[tex]\sqrt{12^{2} +16^{2} } = 20[/tex]

I need help here please

Answers

Answer:

Simultaneous equations

Step-by-step explanation:

4a + 7m = 17.75

2a + 5m = 10.75

Double the 2nd equation and then subtract the two equations to cancel the 4a out

Work with the 'm' terms and find the value of m

After finding the value of 'm', substitute it into one of the original equations (the ones given in the question) and solve to find the value of 'a'

Hope this helped

Solve 7x + 6 <3(x - 2).
A. {xlx>-3}
B. {xlx<-3}
C. {xlx<-2}
D. {x1x<0}

Answers

Answer:

x<-3

Step-by-step explanation:

Find the lateral area of this square based pyramid. 10in 5 in [ ? ]in?​

Answers

Answer:

Step-by-step explanation:

Lateral area, Al = a√(a² + 4h²)

Where,

a = base edge = 5 in

h = height = 10 in

Lateral area, Al = a√(a² + 4h²)

= 5√(5² + 4*10²)

= 5√(25 + 4*100)

= 5√(25 + 400)

= 5√425

= 5 * 20.615528128088

= 103.07764064044

Approximately,

Lateral area = 103.08 in²

Answer: 100

Step-by-step explanation: each side has an area of 10*5/2, or 25, and there are 4 lateral sides, so times 4, it's 100

what is the cost for 23 yards of cloth at 85.62 per yard

Answers

Answer:

1,969.26

Step-by-step explanation:

If a yard costs 85.62, we can present this as;

y = 85.62

Therefore, to find the cost of 23 yards, we can represent the above equation as;

23y = x

since we already know the value of y, we can say that

x = 23(85.62)  

so,

x = 1,969.26

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