2. A faucet for a 30-gallon bathtub fills at a rate of 3 gallons per minute.
If the drain lets water out at 1.5 gallons per minute, how long would it
take for the tub to overflow if both the faucet and drain were open at the
same time?

Answer:

2 14/25

Step-by-step explanation:

16/(2+1/2)^2 .        simplify 2+1/2 to 5/2

16/(5/2)^2

16/5^2/2^2

16/25/4

16*4/25

64/25

2 14/25

PEMDAS "P" is first, "E" second and then "D" is last

[tex]16\div \left( 2+\frac{1}{2} \right)^2\implies 16\div \left( \frac{2}{1}+\frac{1}{2} \right)^2\implies 16\div \left( \cfrac{4+1}{\underset{\textit{using this LCD}}{2}} \right)^2 \\\\\\ 16\div\left( \cfrac{5}{2} \right)^2\implies 16\div\cfrac{5^2}{2^2}\implies 16\div\cfrac{25}{4}\implies \cfrac{16}{1}\div\cfrac{25}{4}\implies \cfrac{16}{1}\cdot \cfrac{4}{25} \\\\\\ \cfrac{64}{25}\implies 2\frac{14}{25}[/tex]

Answer:

A

Step-by-step explanation:

Answer: first one

Step-by-step explanation:

omm it’s A

Answer:

Solving for X in a Right Triangle

Step-by-step explanation:

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

Answer:

a:6÷9

b:0.666% are the answers

Answer:

1) 5.44, 2) 3.9

Step-by-step explanation:

1) a/b + 2b - a^2 when a = 1.4 and b = 0.2

plug in the values:

1.4/0.2 + 2(0.2) - (1.4)^2 = 7 + 0.4 - 1.96 = 5.44

2) a[b-2c]^3 - d/e when a = 2, b = -0.75, c = -1, d = 0, e = -12 5/7 (rewritten to -89/7 = 12.71)

again, plug in the values:

2[-0.75-2(-1)]^3 - 0/12.71 = 2[1.25]^3 - 0 = 2[1.95] = 3.9

Part A:  For the -5.3, 1 it would be located in Quadrant Q because even though it just goes to -4 and 4 I can extend the grid in my head and that's how I was able to figure out.

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

We can use the equation "is over over" to give up 3325/9500*?/100, after simplifying your answer is 35%

Brainliest would be appreciated. :-)

Answer: the answer is D which is (2,1)

Answer:

  $0.25 per ream

Step-by-step explanation:

The costs per ream are ...

  X: $40/(8 reams) = $5/ream

  Y: $19/(4 reams) = $4.75/ream

The savings per ream is $5.00 -4.75 = $0.25 for the cheapest brand.

Answer: Ted is 14 years old, Ed is 21 years old

Answer: Ted is 14 years old, and Ed is

21 years old.

Explanation is in the image.

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{3}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{6+3}{2}~~,~~\cfrac{1+5}{2} \right)\implies \left( \cfrac{9}{2}~~,~~\cfrac{6}{2} \right)\implies \left(4\frac{1}{2}~~,~~3 \right)[/tex]

Answer:

Add 1/2x, Divide by 7/6

Step-by-step explanation:

Add 1/2x to both sides

Divide both sides by 7/6

Answer:

Step-by-step explanation:

The upper right angle is supplement to 130° and a corresponding angle to (3x + 5)

130 + (3x + 5) = 180

3x + 5 = 50

3x = 45

x = 15

Answer:

y=50

Step-by-step explanation:

[tex]\frac{1}{5}[/tex]y=10

 y=10÷[tex]\frac{1}{5}[/tex]

   =50

Answer:

2.8

Step-by-step explanation:

.4 × 7 =2.8

.4+.4+.4+.4+.4+.4+.4

Hope this helps!!:)

Answer:

2.8

Step-by-step explanation:

This is the same as:

[tex]0.4+0.4+0.4+0.4+0.4+0.4+0.4[/tex]

If we were to change the question to:

[tex]4+4+4+4+4+4+4=28[/tex]

That would be 10x this question's answer, Therefore you divide 28 by 10 to give you 2.8  

Answer:

Solution: x = 1/6

Decimal form: 0.166667

Hope this helps :)

Answer:

x = 1/6

Step-by-step explanation:

10x + 7 - x : Combine like terms (In this case the x values)

9x+7 = 3x + 8 : Subtract 3x from both sides

6x + 7 = 8 : Now subtract 7 from both sides

6x = 1 : Divde both sides by 6

x = 1/6

Answer:

X=90

Y=43

Step-by-step explanation:

hope it will help goodbye

Answer: 1/3 or 0.333333333

Step-by-step explanation:

Probability of getting a 3 is 1/6.

1/6

Probability of getting an odd number is 3/6.

3/6

Multiply them.

1/6*3/6 = 4/12

Simplify.

4/12 = 1/3

Correct me if I am incorrect.

Answer:

Translate from words to mathematical equation.

"n is m% of what?"

m% = m/100

what = a variable ... "x". for example.

"is" means "="

"of" means multiply

n = (m/100)•x

Answer:

given,

time spent each day for driving to work = 42 mins time spent for driving work each month ( m ) = ?

we know ,

1 month is equal to 12 days

so,

m = 42× 12

= 504

hence, Debra spends 504 minutes driving each month.

Answer:

(2, 1)

Step-by-step explanation:

-4 + 6 = 2

-1 + 2 = 1

X and Y become positive by going up and right

Answer:

(2, 1 )

Step-by-step explanation:

A move of 2 units up in the positive y- directions means adding 2 to the y- coordinate.

A move right of 6 units in the positive x- direction means adding 6 to the x- coordinate.

(- 4, - 1 ) → (- 4 + 6, - 1 + 2 ) → (2, 1 )

Answer:

90.25π

Step-by-step explanation:

The formula for solving the area of a circle is πr².

r is the radius. We can find the radius by splitting the diameter in half: 19/2 = 9.5.

We can apply the area formula and we get π9.5² and the answer is 90.25π.

Answer:

f(8)=57, f(-4)=21, and f(0)=1

Step-by-step explanation:

f(8)=8^2-8+1

f(8)=64-7

f(8)=57

f(-4)=(-4)^2-(-4)+1

f(-4)=16+5

f(-4)=21

f(0)=0^2-0+1

f(0)=0+1

f(0)=1

[tex]239.013 = 2 \times 100 + 3 \times 10 + 9 \times 1 + 0 \times 1 \div 10 + 1 \times 1 \div 100 + 3 \times 1 \div 1000[/tex]

hope it helps :)

Answer:

[tex]239.013=2×100+3×10+9×1+0×1÷10+1×1÷100+3×1÷1000[/tex]

Answer:

3 3/4 km = 1 hr

_______. ____

x 5

5 (3 3/4) = 18.75 km

Answer:

Explanation:

18.75 km

Answer:

X = 2.75 or 2 3/4 in fraction form

Step-by-step explanation:

We know that the variable X has to make both equations equal.

It is really just crossing out the options.

2.75 can fit in the X variable because if 2.75 was in both equations, the answer would be the same.

So the answer is 2.75

Hope this helps! :)

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