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Anettt [7]
2 years ago
10

A bathtub can hold up to 70 gallons of water. The bath tub drains at a constant rate. when you first see the bath tub, it has 42

gallons of water in it. Three minutes later it has 14 gallons left in it. Use a signed number, and include the unit of measurement in your answer.
a. at what rate is the amount of water changing each minute?

b. How many more minutes will it take for the tub to drain completely?

c. How many minutes before you arrived was the tub completely full?
Mathematics
1 answer:
Darina [25.2K]2 years ago
5 0

Answer:

A. 28

B. 1 min

C. 2 mins

Step-by-step explanation:

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How many solutions does the equation x_1 +x_2+x_3+x_4+x_5=21 have where x_1, x_2, x_3, x_4, and x_5 are nonnegative integers and
omeli [17]

Step-by-step explanation:

x_{1} + x_{2} + x_{3} + x_{4} + x_{5} = 21\\     (given)

Let us consider :

x_{1} = t_{1} + 1

x_{2} = t_{2}

x_{3} = t_{3}

x_{4}  = t_{4}

x_{5} = t_{5}

Now, by substituting the above considerations in the above equation, we get:

t_{1} + 1 + t_{2} + t_{3} + t_{4} + t_{5} = 21\\

t_{1}  + t_{2} + t_{3} + t_{4} + t_{5} = 20\\

where,

t_{i} \geq 1

then it follows

n = 20

r = 4

then no. of solutions for the eqn = _{r}^{n + r}\textrm{C}

                                                      = _{4}^{24}\textrm{C}

                                                      = 10626

Answer :

no. of solutions for the eqn 10626

4 0
3 years ago
42 divided by 6 in repeated subtraction
Wittaler [7]
42 - 6 = 36 - 1 36 - 6 = 30 - 2 30 - 6 = 24 - 3 24 - 6 = 18 - 4 18 - 6 = 12 - 5 12 - 6 = 6 - 6 6 - 6 = 0 - 7 42/6 = 7
4 0
3 years ago
Read 2 more answers
You need at least $535 to go on a trip to California. You have already save $200. You decide to save an additional $25 per week.
FrozenT [24]

Answer:

200+25w

Step-by-step explanation:

200=starting amount

25=every week gaining

w=weeks

Answer= 14.5 weeks

Hope it helps!

4 0
3 years ago
Read 2 more answers
If a boat depreciates in value according to the simple interest formula Y=20,000(.92)^2 find the rate of decay. Write as a perce
Alexandra [31]

Answer:

Rate of Decay = 8%

Step-by-step explanation:

The decay formula is:

F=P(1-r)^t

Where F is the final value (here, it is given as "Y")

P is the initial value (here, given as 20,000)

r is the rate of decay (what we need to find)

t is the time (given as 2)

Comparing both the equations:

F=P(1-r)^t\\Y=20,000(0.92)^2

We see that:

1 - r  =0.92

We solve for "r":

1 - 0.92 = r

0.08 = r

The rate of decay is 0.08, as a percentage, we need to multiply by 100, so we have:

0.08 * 100 = 8%

Rate of Decay = 8%

6 0
4 years ago
It cost $36.75 for three tickets to visit the science center. It cost $51 for 4 tickets to visit the zoo. Which attraction will
Ber [7]
Find the cost for one ticket for the science center.
36.75 ÷ 3 = 12.25
Multiply the product with 12 to get the cost of 12 tickets.
12.25 × 12 = 147
Find the cost of 1 zoo ticket.
51 ÷ 4 = 12.75
Find the cost of 12 tickets by multiplying the product and 12
12.75 × 12 = $153
12 Science Center Tickets cost $147
12 zoo tickets cost $153

The Zoo costs more than the Science Center.

To find out how much more the Zoo costed, subtract 147 from 153.
153 - 147 = 6
The zoo only costs $6 more for 12 students.
So, you're answers are Zoo and $6
8 0
3 years ago
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