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horrorfan [7]
2 years ago
10

Luciana is adding water to a pool at a constant rate. Before she added any water, the pool had $12,000$ gallons of water. Lucian

a is adding $9$ gallons of water each minute.
Which equation represents the total number of gallons of water in the pool, $w$ , after Luciana adds water for $m$ number of minutes?
Mathematics
1 answer:
eimsori [14]2 years ago
8 0

Answer:

T(m) = 12,000 gallons + (9 gallons/ minute)m

Step-by-step explanation:

This is a linear function with beginning value 12,000 gallons and unit rate of increase 9 gallons/minute:

T(m) = 12,000 gallons + (9 gallons/ minute)m

PS:  Please don't use " $ " to set off numbers.  Not needed!

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1/5 divided by (6 x 4)
Naily [24]

Answer:

1/120

Step-by-step explanation:

(1/5) / (6 * 4)

First simplify:

(1/5) / 24

Then, multiply be the reciprocal of 24 (Skip, Flip, Multiply):

\frac{1}{5} (\frac{1}{24})

and you get:

1 / (5 * 24)

1/120

3 0
2 years ago
Two motorcyclists start at the same point and travel in opposite directions. One travels 10 mph
aleksandrvk [35]

Answer:

The first is traveling at 51 mph.

The second is traveling at 61 mph.

Step-by-step explanation:

2(x+ 10) + 2x = 224\\2x + 20 + 2x = 224\\4x + 20 = 224\\4x = 204\\x = 51

The first is traveling at 51 mph.

The second is traveling at 61 mph.

8 0
3 years ago
Read 2 more answers
Consider the expansion of (x + 2y)^10. Determine the coefficients for the terms with the powers of x and y shown.
julsineya [31]

Answer with Step-by-step explanation:

We are given that  an expression

(x+2y)^{10}

Binomial expansion o f (x+y)^n is given by

=nC_0 x^n+nC_1x^{n-1}y^1+nC_2x^{n-2}y^2+nC_3x^{n-3}y^3+... nC_n y^n

a. We have to find the coefficient of x^2y^8

(x+2y)^{10}=10C_0x^{10}+10C_1x^9(2y)+10C_2x^8(2y)^2+10C_3x^7(2y)^3+...+10C_{10}(2y)^{10}

Term is 10C_8x^(2y)^8

Coefficient =10C_8\cdot 2^8

b.Term in which x^4y^6  is 10C_6x^4(2y)^6

Coefficient =10C_4\cdot 2^6

c.We have to find the coefficient of x^5y^5

Term  is 10C_5x^5(2y)^5

Coefficient =10C_5\cdot 2^5

7 0
3 years ago
Read 2 more answers
How can You use mental math for 878 + 534=
antoniya [11.8K]
Think of it like your drawing it in your head
in my head i would say 8+4=12 carry the 1 so 7+3+1= 11 carry the 1 then 8+5+ 1= 14 so the answer would be 1,412
6 0
3 years ago
Read 2 more answers
Can someone help me with this math homework please!
slega [8]

Answer:

3. The number of students that rode on each bus

Step-by-step explanation:

The equation they give us is:

2b + 6 = 70

The question already tells us that in this equation:

2 is the 2 buses that the school hired

6 is the 6 leftover kids who couldn't fit on the 2 buses

The question also tells us that the 2 buses only have a total of 64 seats, so 32 seats on 1 bus (64/2 = 32).

So that means b would equal the 32 seats on 1 bus, or the number of students that rode on each bus.

Hope it helps (●'◡'●)

3 0
3 years ago
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