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3 years ago

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Austin and Dale earn money by painting fences over the summer. Working alone, Austin takes 3 hours longer than Dale to paint a f

ence. Working together, the two of them can paint a fence in 2 hours. How many hours would it take each of them working alone?

1 answer:

mojhsa [17]3 years ago

3 0

Answer:

Austin will take 9 hours to paint a room and dale with take 3 hours to paint a room

Step-by-step explanation:

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the coordinates of the vertices of a rectangle in order are (5,2), (-1,4), (-2,1) and (4,-1). what is the perimeter of the recta

Anna [14]

Answer:

19 units

Step-by-step explanation:

Plot points A(5,2), B(-1,4), C(-2,1) and D(4,-1) on the coordinate plane. Find lengths of all sides as distances between two points:

$AB=\sqrt{(-1-5)^2+(4-2)^2}=\sqrt{6^2+2^2}=\sqrt{36+4}=\sqrt{40}=2\sqrt{10}\ units\\ \\BC=\sqrt{(-2-(-1))^2+(1-4)^2}=\sqrt{1^2+3^2}=\sqrt{1+9}=\sqrt{10}\ units\\ \\CD=\sqrt{(4-(-2))^2+(-1-1)^2}=\sqrt{6^2+2^2}=\sqrt{36+4}=\sqrt{40}=2\sqrt{10}\ units\\ \\DA=\sqrt{(5-4)^2+(2-(-1))^2}=\sqrt{1^2+3^2}=\sqrt{1+9}=\sqrt{10}\ units$

The perimeter of the rectangle ABCD is

$AB+BC+CD+DA=2\sqrt{10}+\sqrt{10}+2\sqrt{10}+\sqrt{10}=6\sqrt{10}\approx 18.97\ units\approx 19\ units$

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3 years ago

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laila [671]

I think the answer is probably b or c

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3 years ago

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What is the solution to the system of equations below?

Free_Kalibri [48]

Answer: Infinite solutions.

Step-by-step explanation:

$y=-2x-6\\2y=-4x-12$

Plug the value of y into the second equation.

$\\ 2(-2x-6)=-4x-12\\-4x-12=-4x-12$

Add 12 on both sides.

$-4x-12+12=-4x-12+12\\-4x=-4x$

Add 4x on both sides.

$-4x+4x=-4x+4x$

$0=0$

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3 years ago

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zloy xaker [14]

D is the correct answer

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3 years ago

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Ilia_Sergeevich [38]

Answer:

a. 90 pack

b. $0.27

c. $0.18

d. $0.21

e. 60 pack

Step-by-step explanation:

a. i think the 90 pack container should be having least unit rate per pack,as purchasing in bulk amount the cost of a unit should be reduced to some amount which is must to lure the customer to purchase in bulk amounts.

b. unit price = total cost of container ÷ number of individual units inside it

for 20 pack, unit rate = 5.49÷20 = $0.27

c. for 60 pack, unit rate = 10.97÷60 =$0.18

d. for 90 pack, unit rate = 18.95÷90 =$0.21

e. ∴ the 60 pack container has the least unit rate per pack which is in contrary with our expectation of 90 pack to be lowest expecting bulk order.

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3 years ago