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Oduvanchick [21]
3 years ago
11

A barrel in Jim's yard contains 60 gallons of water. Water leaks out of the barrel at a rate of 1 gallon every 10 minutes. Creat

e and graph the solution set of the equation for the gallons of water, y, remaining in the barrel in terms of the number of minutes elapsed, x.

Mathematics
2 answers:
emmainna [20.7K]3 years ago
7 0

Answer:

y=-0.10x+60

Step-by-step explanation:

Let

y -----> gallons of water remaining in the barrel

x-----> number of minutes elapsed

we know that

Water leaks out of the barrel at a rate of 1 gallon every 10 minutes

so

1/10=0.10\frac{gal}{min}

The linear equation that represent this situation is  

y=-0.10x+60

The graph in the attached figure

Bad White [126]3 years ago
5 0

Answer:

So you t   start with 60 because that is how many gallons Jim has. Then you can count by tens until you get to 100. it takes 10 tens to get to 100 which means that for each 10 mins 1 gallon is lost. so the number of gallons lost in 100 mins is 10. so the point would read (100, 50) for every hundred mins, 10 gallons of water are lost. nUntil you hit zero because  cannot have negative amounts of water. Even s helps!

Step-by-step explanation:

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M is directly proportional to r squared
Nesterboy [21]

Answer:

m=84

r:m = 1:7

therefore when r= 1 then M=14

r = 12 \\ m = 7 \times 12 \\ m = 84

I think that's how you do it

5 0
2 years ago
Please help me, I forgot how to do this
ANTONII [103]

Answer: 1/7

Step-by-step explanation:

26+6+10=42

6/42=1/7

8 0
2 years ago
The perimeter of a rectangle can be found using the equation P = 2L + 2W, where P is the perimeter, L is the length, and W is th
Naddik [55]

Answer:

D)Yes. The rectangle can have P = 60 and L = 18 because P = 2(18) + 2(12) would equal 60

Step-by-step explanation:

The formula for the perimeter of a rectangle is P=2L+2W.

If the width is W=12\:units and the length is L=18\:units, then the perimeter becomes:

 P=2\times 12+2\times 18.

 \implies P=24+36.

 \implies P=60.

Therefore the answer is

D)Yes. The rectangle can have P = 60 and L = 18 because P = 2(18) + 2(12) would equal 60

7 0
3 years ago
Read 2 more answers
1. TRIANGLES The ratios of the measures of the
maw [93]

sum of all sides of triangle=180°

7x+13x+16x=180°

36x=180°

x=180°/36

x=5

angle D=7x

=7(5)

D=35°

angle E=13(x)

=13(5)

E=65°

angle F=16x

=16(5)

F=80°

angle D=35°

angle E=65°

angle F=80°

7 0
2 years ago
Katrina buys a 42-ft roll of fencing to make a rectangular play area for her dogs.
vekshin1

Answer:

(a) l = -w + 21

(b) Domain: 0 <em>(See attachment for graph)</em>

(c) f(w) = -w + 21

Step-by-step explanation:

Given

2(l + w) = 42

l = length

w = width

Solving (a): A function; l in terms of w

All we need to do is make l the subject in 2(l + w) = 42

Divide through by 2

l + w = 21

Subtract w from both sides

l + w - w = 21 - w

l  = 21 - w

Reorder

l = -w + 21

Solving (b): The graph

In (a), we have:

l = -w + 21

Since l and w are the dimensions of the fence, they can't be less than 1

So, the domain of the function can be 0

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

To check this

When w = 1

l = -1 + 21

l = 20

(w,l) = (1,20)

When w = 20

l = -20 + 21

l = 1

(w,l)= (20,1)

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

<em>See attachment for graph</em>

<em></em>

Solving (c): Write l as a function f(w)

In (a), we have:

l = -w + 21

Writing l as a function, we have:

l = f(w)

Substitute f(w) for l in l = -w + 21

l = -w + 21 becomes

f(w) = -w + 21

5 0
3 years ago
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