Bryan owns a pet store. He puts one parrot in per cage, he has one parrot extra. If he puts two parrots per cage, he has a cage extra. How many parrots and cages does he have?

Answers

Answer 1

Answer:

4 parrots

3 cages

Step-by-step explanation:

Bryan has one more parrot than cages and one more cage than half the number of parrots. The following system of equations can be modeled for the number of parrots (P) and cages (C):

[tex]P=C+1\\C-1=\frac{P}{2}[/tex]

Solving the linear system:

[tex]P-1-1=\frac{P}{2}\\0.5P = 2\\P=4\\C=P-1=4-1=3[/tex]

Bryan has 4 parrots and 3 cages.


Related Questions

Rob paid $50.15 for two pairs of jeans, which include a 15% discount. What was the price of one pair of jeans before the discount was added?

Answers

Answer:

$29.50

Step-by-step explanation:

The price that Rob paid includes a 15% discount.  This means that Rob paid 85% of the original price.

100% - 15% = 85%

Divide the price Rob paid by the percentage the price is of the total.

85% = 0.85

50.15/0.85 = 59

Now, divide the total price by 2 so that you can find the price of one pair of jeans.

59/2 = 29.50

The price of one pair of jeans is $29.50

What is the domain of y=4[x+2]

Answers

Answer:

[tex]-\infty \:<x<\infty \:\\or\\\left(-\infty \:,\:\infty \:\right)[/tex]

Step-by-step explanation:

[tex]\mathrm{Domain\:of\:}\:4\left(x+2\right)\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

What is the solution to the following equation? 4(3x − 11) + 23 = 5x − 14 a 0 b 1 c 10 d 14

Answers

Answer:

b 1

Step-by-step explanation:

we can describe 15×-10 as an expression. we would describe 6×-2< 35 as an...

Answers

Answer: Inequality

Step-by-step explanation:

From the question, if we can describe 15×-10 as an expression, then we would describe 6×-2< 35 as an inequality. An

inequality is used to compare two values, and shows if one is less than, or greater than, or maybe not equal to the other value.

For example, a ≠ b means that a is not equal to b and a < b means a is less than b while a > b means a is greater than b. From the question, 6×-2< 35 means that 6x - 2 is less than 35.

Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

f⁻¹(-2)=3

f⁻¹(1)=0

Step-by-step explanation:

inverse function flips x any coordinate into y and x

4x2 + 25y2
factor the following

Answers

Answer:

see explanation

Step-by-step explanation:

This polynomial is irreducible, that is cannot be factored.

4x² + 25y² ← is a prime polynomial

Answer:

1, the polynomial itself

Step-by-step explanation:

This is a prime polynomial since the terms have no common factor. The only factors it has are 1 and 4x2+25y2 (the number itself)

Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the area of land mowed in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points? It takes Aaron about 1 hour to mow 2 acres. Aaron’s rate for mowing lawns is 0.5 acres per hour. The ratio of acres to time is 5 acres to 3 hours. The rate to mow a lawn is 0.6 hours per acre

Answers

Answer:

Slope of this line is given by:

Aaron’s rate for mowing lawns is 0.5 acres per hour

Step-by-step explanation:

It is given that time is tracked by Aaron related to x coordinate.

and the area of land mowed in acres is related to y coordinate.

Two of his points are given as:

(3, 1.5) and (5,2.5)

We know that the coordinates are represented in the form of (x,y)

i.e. first coordinate represents x coordinate and

second coordinate represents y coordinate.

So, it can be observed that:

[tex]x_1=3, y_1=1.5\\x_2=5, y_2=2.5[/tex]

Change in x coordinate = [tex]x_2-x_1=5-3 = 2[/tex]

i.e. total time taken is 2 hours.

Change in y coordinate = [tex]y_2-y_1=2.5-1.5 = 1[/tex]

i.e. total land mowed taken is 1 acre.

In other words, it takes 2 hours for Aaron to mow 1 acre of land.

So, "option 1)  It takes Aaron about 1 hour to mow 2 acres." is incorrect.

Rate of mowing lawn is the land mowed by Aaron in 1 hour.

Land mowed in 2 hours = 1 acre

Land mowed in 1 hours = [tex]\frac{1}{2}[/tex] acre i.e. 0.5 acre

Also, slope of a line is given as:

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}[/tex]

Here [tex]y_2 - y_1 = 1[/tex]

[tex]x_2 - x_1 = 2[/tex]

As per formula:

[tex]m = \dfrac{1}{2} = 0.5[/tex]

So, option 2) Aaron’s rate for mowing lawns is 0.5 acres per hour.

Using the slope concept, it is found that the correct option is:

Aaron’s rate for mowing lawns is 0.5 acres per hour.

---------------------------

A linear function has the following format:

[tex]y = mx + b[/tex]

The slope is m, which is the rate of change, that is, by how much the output y changes when the input changes by 1.

---------------------------

In this question, the input is the time in hours and the output is the area of land mowed, thus the slope represented the rate of area mowed per hour.Two points, (3, 1.5) and (5, 2.5). The slope is change in y divided by the change in x, thus:

[tex]m = \frac{2.5 - 1.5}{5 - 3} = \frac{1}{2} = 0.5[/tex]

Thus, the correct option is:

Aaron’s rate for mowing lawns is 0.5 acres per hour.

A similar problem is given at https://brainly.com/question/17460142

Plz help...i am offering 10 pts...

Answers

13 is the coefficient

How many cubes eith side lengths of 1/4 cm does it take to fill the prism? Please help

Answers

Step-by-step explanation:

In order to find Volume for a rectangle use the formula: L * W * H

2 1/4 * 3/4 * 1 1/4 = 2 7/64

A cube with the side lengths of 1/4:   1/4 * 1/4 * 1/4 = 1/64

Divide 1/64, by the prisms volume, 2 7/64 to get 135.

I'm not sure if this is right, but I hope that helps! :)

Please answer correctly !!!!! Will mark brainliest answer !!!!!!!!!!

Answers

Answer:

type 2 in the first box,

13/4 in the second box, and

-9/8 in the third one

Step-by-step explanation:Notice that you are asked to write the following quadratic expression in vertex form, so you need to find the "x" value of the vertex, and then the "y" value of the vertex:

[tex]x_{vertex}= -b/2a[/tex]

Which in our case is: -13/4

and the value of the y for the vertex is obtained using the functional expression when x equals -13/4:

[tex]f(-13/4)= -9/8[/tex]

Then your expression for this quadratic should be:

[tex]f(x)=2\,(x+\frac{13}{4} )^2+(-\frac{9}{8})[/tex]

Then type 2 in the first box, 13/4 in the second box, and -9/8 in the third one

let f be defined as follows f(x)=4x find f^-1(x)

Answers

Answer:

So this is the inverse function

Please say ---- solve for the inverse f(x)

instead of  ---- solve for f^-1(x)

x/4 division is the opposite of multiplication

so instead of multiplying by 4 we divide by 4

:)

Thanks for the question, Im working up to get a brainly answer and Master Answerer.

:)

Step-by-step explanation:

Solve for x 3x - 5 = 2x + 6.
01
O-1
O 11
0-11

Answers

Answer:

X= 11

Step-by-step explanation:

Move constant to the right side and change its sign

Which is the value of this expression when p=-2 and q=-1?

A. -4

B. -1/16

C. 1/16

D. 4

Answers

Answer:

D. 4

Step-by-step explanation:

[tex] [(p^2) (q^{-3}) ]^{-2}.[(p)^{-3}(q)^5] ^{-2}\\\\

=[(p^2) (q^{-3}) \times(p)^{-3}(q)^5 ]^{-2}\\\\

=[(p^{2}) \times(p)^{-3} \times (q^{-3}) \times(q)^5 ]^{-2}\\\\

=[(p^{2-3}) \times (q^{5-3}) ]^{-2}\\\\

=[(p^{-1}) \times (q^{2}) ]^{-2}\\\\

=(p^{-1\times (-2)}) \times (q^{2\times (-2) }) \\\\

=p^{2}\times q^{-4} \\\\

= \frac{p^2}{q^4}\\\\

= \frac{(-2)^2}{(-1)^4}\\\\

= \frac{4}{1}\\\\

= 4[/tex]

Can you please help me

Answers

Answer:

complementary angle: 63

supplementary angle: 153

Step-by-step explanation:

Complementary angles mean angles that add up to 90.  Therefore 90-27=63

Supplementary angles are angles that add up to 180. Therefore 180-27=153

Mitchell's family is slow cooking 2 3/4 pounds of meat. The recipe says to cook the meat 1 1/2 nours per pound,
How long should Mitchell's family cook the meat?
A 1 5/6
B. 2 3/8
C 4 1/ 8
D. 4 1/4​

Answers

Answer:

C

Step-by-step explanation:

Multiply the 1.5 hours per pound by 2.75 pounds and we get 4.125 hours or    4 1/8

Answer:

C: 4 1/8

Step-by-step explanation:

i took the quiz

If
x = 3,
y = -5 and z-7, find
x +yz +xyz.

Answers

Answer:

143

Step-by-step explanation:

Since the values of x y and z are given

Substitute the value in the polynomial, so it'll become,

x+yz+xyz

= (3)+(-5)*(-7)+(3)*(-5)*(-7)

= 3+35+(3)*(-7)*(-5)

{Two negatives when multiplied becomes positive}

=3+35+3*35

= 3+35+105

=143

Which expression is equivalent to (fg)(5)?

A: f(5) x g(5)
B: f(5) + g(5)
C: 5f(5)
D: 5g(5)

Answers

Answer:

f(5).g(5)

Step-by-step explanation:

(fg)=(f.g)

this is how it starts: (fg)(X)= f(x) [g(x)]

x=5

f(5).g(X)

Find the perimeter of a rectangle whose length is (4a+b)cm and width (a+6)cm​

Answers

Answer:

P = 10a +2b+12

Step-by-step explanation:

P = 2 (l+w) for a rectangle

P = 2 ( 4a+b + a+6)

Combine like terms

P = 2(5a+b+6)

Distribute

P = 10a +2b+12

Answer:

Given below

Hope it helps

Step-by-step explanation:

Perimeter= 2(l+b)

= 2(4a+b+a+6)

= 2(5a+b+6)

= 10a+2b+12 cm^2

What is a real life example for an integer

Answers

Answer:

Some examples of integers are -1, 0, and 1.

The height, h in feet, a ball with reach when thrown in the ais is a function of time, t, in seconds,given by the equation h(t)=-16t2+35t+10. Find, to the nearest tenth, the maximum height, in feet, the ball will reach. The time when it reached its maximum height. How many seconds after the ball is thrown it will hit the ground?

Answers

Answer:

The maximum height the ball will reach is 29,141 feet.

The time when it reached its maximum height is 1.094 seconds.

2,443 seconds after throwing the ball, it will touch the ground.

Step-by-step explanation:

The function h (t) = - 16t² + 35t + 10 is a quadratic function of the form f (x) = ax² + bx + c, where a = -16, b = 35 and c = 10. To calculate the maximum height, you must then find the maximum of the function. In other words, Quadratic functions have a maximum (if a <0) or a minimum (if a> 0). This point is the vertex of the parabola.

The vertex coordinate on the x axis can be calculated by:

[tex]x=\frac{-b}{2*a}[/tex]

The value of the vertex on the y axis is obtained by substituting the value of "x vertex" in the function f (x), that is, by calculating f ([tex]\frac{-b}{2*a}[/tex]).

In this case, where h ([tex]\frac{-b}{2*a}[/tex]) is the maximum height:

[tex]t=\frac{-b}{2*a}=\frac{-35}{2*(-16)} =1.09375[/tex]≅ 1.094 seconds

So: h(1.094)= -16*1.094² + 35*1.094 + 10

h(1.094)=29.151

The maximum height the ball will reach is 29,141 feet.

The time when it reached its maximum height is 1.094 seconds.

To calculate the number of seconds after the ball is thrown it will hit the ground, you must calculate the roots of the quadratic function. For this you must apply:

[tex]x1,x2=\frac{-b+-\sqrt{b^{2}-4*a*c } }{2*a}[/tex]  

where x1, x2 are the two roots of the function f(x)=a*x² +b*x + c

In this case:

[tex]t1,t2=\frac{-35+-\sqrt{35^{2}-4*(-16)*10 } }{2*(-16)}[/tex]

Solving, you get t1=-0.256 and t2=2.443

Since the time cannot be negative, 2,443 seconds after throwing the ball, it will touch the ground.

Evaluate cos2θ for cosθ = .

Answers

Double angle identity:

[tex]\cos(2\theta)=2\cos^2\theta-1[/tex]

If you know [tex]\cos\theta[/tex], just plug it in.

Solve the inequality
t/4>7

Answers

Answer:

t>28

hope this helps!

Step-by-step explanation:

t÷4 > 7

t÷4 (×4) > 7 (×4)

t > 28

if f(x) = 2x+1/x-4 what is the value of f^-1(3)

Answers

Answer:

f^-1(3) = 1.719 or  f^-1(3) = 0.149

Step-by-step explanation:

for inverse function x and y coordinates are flipping so graph the function and find for what x - coordinate y- coordinate = 3

in case that f(x) = [tex]2x + \frac{1}{x-4}[/tex] than f^-1(3) = 1.719

in case that f(x) = [tex]2x + \frac{1}{x} -4[/tex] than f^-1(3) = 0.149

Answer: B

B (19/11) when divided = 1.72 repeat

of all the options given, this is the closest to the above answer.

In a grade 11 class, 40% of the students are taking Geography, 30% are taking History and 10% are taking both. If 40 students are enrolled in the grade 11 class, how many students are taking neither Geography or History?

Answers

I put the wrong answer

Here are seven tiles Tom takes a tile at random. He does not replace the tile. Tom then takes at random a second tile. a) Calculate the probability that both tiles Tom takes have the number 1 on them. b) Calculate the probability that the number on the second tile Tom takes is greater than the number on the first tile he takes.

Answers

Answer:

a) 1/21

b) 8/21

Complete question:

There are seven tiles:

1,1,3,3,3,5,5

Tom takes a tile at random. He does NOT replace the tile.

Tom then takes another tile at random.

a) Calculate the probability that both tiles Tom takes have the number 1 on them. b) Calculate the probability that the number on the second tile Tom takes is greater than the number on the first tile he takes.

Step-by-step explanation:

Total number of tiles = 7

Let Probability of having number 1 on the tiles = Pr (having 1)

Pr (having 1) = (number of times 1 appears on tiles)/(total number of tiles)

Number of times 1 appears on tiles = 2

Pr (having 1) = 2/7

Two tiles are drawn without replacement:

Probability of both tiles having number 1 on them = Pr (having 1 for both 1st and 2nd time)

= Pr (having 1) × Pr (having 1)

Since it is without replacement, the numbers in the second pick would reduce by 1 in both the numerator and denominator since we are picking same number. That is from 7 to 6 and from 2 to 1 to reflect that it was replaced.

= 2/7 × 1/6

= 2/42

Probability of both tiles having number 1 on them = 1/21

b) If 1st tile = 1, the second tile could be = 3 or 5

The pairs = Pr(1 and 3) and Pr(1 and 5)

Where Pr = probability

The probability is still without replacement. For both probability, the numbers in the second pick would reduce by 1 in the denominator since we are picking different numbers. That is from 7 to 6

Number of times 3 appears on tiles = 3

Number of times 5 appears on tiles = 2

Pr(1 and 3) = (2/7 × 3/6) = 1/7

Pr(1 and 5) = (2/7 × 2/6) = 2/21

If 1st tile = 3, the second tile = 5

Pr(3 and 5) = (3/7 × 2/6) = 1/7

If 1st tile = 5, the second tile = 0 (no number is greater than 5

Pr(5 and 0) = 0

Probability that the number on the second tile Tom takes is greater than the number on the first tile he takes = Pr(1 and 3) + Pr(1 and 5) + Pr(3 and 5) + Pr(5 and 0)

= 1/7 + 2/21 + 1/7 + 0

= (3+2+3)/21 = 8/21

Probability that the number on the second tile Tom takes is greater than the number on the first tile he takes = 8/21

I WILL MARK AS BRAINLIST

Answers

Answer:

18 square meters

Step-by-step explanation:

Answer:

7.5 square meters

solution,

The given figure if a Trapezium whose parallel sides are of 3 m and 2 m respectively.

Distance between the parallels sides

i.e. height is 3 m

Now,

[tex]area = \frac{1}{2} \times sum \: of \: parallel \: sides \times height \\ = \frac{1}{2} \times (3 + 2) \times 3 \\ = \frac{1}{2} \times 5 \times 3 \\ = \frac{15}{2} \\ = 7.5 \: {m}^{2} [/tex]

Hope this helps...

Good luck on your assignment...

Find the sum of the first 44 terms of the following series, to the nearest integer. 10, 14,18,...

Answers

Answer:

4224

Step-by-step explanation:

Here, we want to calculate the sum of the first 44 digits

Term a which is first digit is 10

common difference which is difference of terms = 14-10 = 18-14 = 4

Now the nth term of an arithmetic sequence is

a + (n-1)d

44th term means n = 44

10 + (44-1)4

10 + 43(4)

10 + 172 = 182

To find the sum, we use the formula

Sn = n/2[a + L]

where a is the first term and L is the 44th term

Sn = 44/2 (10 + 182)

Sn = 22(192)

Sn = 4,224

The slope-intercept form of a line is y = mx + b. Using that equation for a line of best fit, you can substitute an input value to find the output for that point. With this method it is possible to make predictions for data points that may not be shown on a graph.

Answers

Answer:

Yes it is

Step-by-step explanation:

If you us a formula you can predict data points that are not on a graph

The total cost of a new calculator is $81.05. This price includes a 10% discount followed by a 6.5% sales tax. What was the original price of the calculator not including the tax or the discount?

Answers

Answer:

68.245

Step-by-step explanation:

total cost = $81.05

10% discount is 10/100× 81.05=8.105

substract 8.105 from 81.05= 72.945

with a 6.5% sales tax

6.5/100× 72.954 = 4.7

72.945-4.7= 68.245 the actual price

if am wrong let me know

Amanda puts $1800 into an account that does not earn any interest. Every
month after that, she deposits the same amount of money. This sequence
represents her account balance for the first few months:
$1800, $2000, $2200,...
What is the explicit formula for the amount of money in her account at the
beginning of month n?

Answers

Answer:

a(n)=1800+(n-1)200

Step-by-step explanation

The usual formual is an=a1+d(n−1)

a1=The first number is the number you would start on

so 1800=a1

n=the number of times you would do it

you would usually put n-1 because the first number is already been put though the formula

d=the amount of change between each number

so 200=d

A(n)= a of n, like f(n) means f of n

so that why it is a(n)=1800+(n-1)200

i also got it right on A.pex

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