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Jet001 [13]
3 years ago
6

A tap fills a 3/5 gallon tub in 1/6 hour. What is the hourly rate, in gallons/hour at which the tap fills the tub?

Mathematics
1 answer:
ololo11 [35]3 years ago
3 0

Answer:

3 3/5 gallons per hour

Step-by-step explanation:

3/5 times 6 equals 18/5

18/5=3 3/5

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tester [92]
The sum of the measures of the angles of a polygon of n sides is 180(n - 2).

Set that expression equal to 1800 and solve for n, the number of sides.

180(n - 2) = 1800

Divide both sides by 180

n - 2 = 10

Add 2 to both sides

n = 12

The polygon has 10 sides.
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3 years ago
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irga5000 [103]

Answer:

y=5x+1

Step-by-step explanation:

If you look closely at each side, you will see that the x increases by one and the y increases by five.

To get to zero (0) from one (1), you need to substract one.

Every time one is subtracted for x, 5 is subtracted from y.

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<u>Hope this helps :-)</u>

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2. -3xy, when x = 4 and y = 2​
ladessa [460]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{ - 24}}}}}

Step-by-step explanation:

Given, x = 4 and y = 2

\sf{ - 3xy}

plug the value of x and y

\longrightarrow{ \sf{ - 3 \times 4 \times 2}}

\longrightarrow{ \sf{ - 24}}

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4 0
3 years ago
A store sells black ink pens for $5 and red ink pens for $4. John wishes to buy 20 pens but doesn’t wish to spend more than $92.
Zina [86]

Answer:  4r + 5(20-r) \le 92

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

Explanation:

r = number of red pens

4r = cost of buying r red pens

example: if r = 10, then 4r = 4*10 = 40 is the total cost of buying 10 red pens

If John buys r red pens, then he must buy 20-r black pens so that r and 20-r add to 20.

John buys 20-r black pens, and at $5 each, so it will cost 5(20-r) dollars for just the black pens alone.

In total, John spends 4r + 5(20-r) dollars for all the pens (red & black)

We want $92 be the most he spends. This is the ceiling or highest value possible.

Therefore,

4r + 5(20-r) \le 92

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

Extra info:

If you want to solve for r, then

4r + 5(20-r) \le 92

4r + 5(20)+5(-r) \le 92 distribute

4r + 100 - 5r \le 92  

100 - r \le 92

100-r+r \le 92+r add r to both sides

100 \le 92+r

100-92 \le 92+r-92 subtract 92 from both sides

8 \le r

r \ge 8

So John must buy at least 8 red pens. The most he can buy is 20 red pens since he wants 20 pens total.

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3 years ago
Which model shows a ratio of 2 unshaded parts to 3 shaded parts?
kirza4 [7]
6 shaded and 4 unshaded squares
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