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Lelechka [254]
2 years ago
7

The number of birdhouses Ben can make varies directly with the amount of time he spends making the birdhouses. He can make 4 bir

dhouses in 1 1/2 hours. How many birdhouses can he make in 9 hours?
Mathematics
2 answers:
laila [671]2 years ago
4 0

Answer:

24

Step-by-step explanation:

if he can make 4 birdhouses in 1 1/2 hours, 1 1/2 hours x 2 = 3. 8 birdhouses per 3 hours. 3 x 3 = 9 hours, 8 x 3 = 27

zvonat [6]2 years ago
4 0

Answer:

24 birdhouses

Step-by-step explanation:

This is a proportional relationship.  y = kx, where k is the constant of proportionality.  We can determine k as follows:

4 birdhouses = k(1 1/2  hours), which leads to:

  4 birdhouses

------------------------- = 8/3 birdhouses/hr

    3/2 hours

In 9 hours, Ben can make (8/3)(9) birdhouses:  24 birdhouses

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Answer:

he can rent the camera for 5 days and will have $5 left over

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2 years ago
Help math<br>look at pic​
Sloan [31]

Answer: \Large\boxed{(-4,~-3)~\text{and}~(-2,~1)}

Step-by-step explanation:

<u>Given the system of equation</u>

1)~y=-(x+2)^2+1

2)~y=2x+5

<u>Expand the parenthesis of the 1) equation</u>

y=-(x+2)^2+1

y=-(x^2+4x+4)+1

y=-x^2-4x-4+1

y=-x^2-4x-3

<u>Current System</u>

1)~y=-x^2-4x-3

2)~y=2x+5

<u>Substitute the y value of the 1) equation with the 2) equation</u>

2x+5=-x^2-4x-3

<u>Add ( x² + 4x + 3) on both sides</u>

2x+5+(x^2+4x+3)=-x^2-4x-3+(x^2+4x+3)

2x+5+x^2+4x+3=0

<u>Combine like terms</u>

x^2+2x+4x+5+3=0

x^2+6x+8=0

<u>Factorize the quadratic equation</u>

(x+4)(x+2)=0

x=-4~\text{or}~x=-2

<u>Substitute the x values into one of the equations to find the y value</u>

y=2x+5

y=2(-4)+5=-8+5=-3

y=2(-2)+5=-4+5=1

<u>Therefore, the two solutions are:</u>

\Large\boxed{(-4,~-3)~\text{and}~(-2,~1)}

Hope this helps!! :)

Please let me know if you have any questions

8 0
1 year ago
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Alexeev081 [22]
5 would be your x coordinate because remember coordinates are written in (x,y)
3 0
2 years ago
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Sloan [31]
Switch the y and x then solve for y, so I believe b.
5 0
1 year ago
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