A 30 gallon tank is being filled at a rate of 2 gallons per minute. There was 6 gallons of water in the tank to begin. Let y represent the total amount of water in the tank and m represent the number of minutes. Write an equation to model the amount of water in the tank.

Answer:

A. 15

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

from -5 to 5 is a complete period. So the period is 10.

Answer:

hi

Step-by-step explanation:

Answer:

The true statements are:

the first statement: Systems A and C have the same solution

the fourth statement: System C simplifies to 2x - 3y = 4 and 4x - y = 18

the fifth statement: Systems A and B have different soltuoins.

Explanation:

1) The first statement: systems A and C have the same solutiotn: TRUE

The fourth statement proves that that the two systems are equivalent which means that both have the same solution.

2) The second statement: All three systems have different solutions: FALSE

The fourth statement proves that the systems A and C have same solution, so this second statement is false.

3) The third statement: Systems B and C have the same solution: FALSE

You can solve the two systems and will find the solutions are different

Solution of system B.

3x - 4y = 5

y = 5x + 3

replace y = 5x + 3 in the first equation => 3x - 4(5x + 3) = 5

=> 3x - 20x - 12 = 5

=> - 17x = 5 + 12

=> -17x = 17

=> x = - 17 / 17

=> x = - 1

y = 5x + 3 = 5(-1) + 3 = - 5 + 3 = - 2

=> solution x = -1 and y = -2

Solution of system C.

2x - 3y = 4

12x - 3y = 54

subtract

4) fourth statement: System C simplifies to 2x - 3y = 4 and 4x - y = 18 by dividing the second equation by three: TRUE

Look:

Second equation of system C = 12x - 3y = 54

Divide by 3:

12x - 3y     54

----------- = -----

    3           3

Distributive property:

12x      3y      

------ - ----- = 18

  3        3

4x - y = 18, which is the same second equation of system A, so the system C simplifies to the same system A, which is 2x - 3y = 4 and 4x - y = 18.

5) The fifth statement: systems A and B have different solutions: TRUE

You can solve the two systems and will find the solutions are different

Solution of system A:

 2x - 3y =  4      

12x - 3y = 54           since it is equivalent to 4x - y =  18

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

12x - 2x = 54 - 4      subtracting the first equation from the secon

10x = 50                  adding like terms

x = 5                        dividing by 10

From 2x - 3y = 4 => 3y = 2x - 4 = 2(5) - 4 = 10 - 4 = 6

=> y = 6 / 3 = 2

=> x = 5, y = 2

Solution of system B.

3x - 4y = 5

y = 5x + 3

replace y = 5x + 3 in the first equation => 3x - 4(5x + 3) = 5

=> 3x - 20x - 12 = 5

=> - 17x = 5 + 12

=> -17x = 17

=> x = - 17 / 17

=> x = - 1

Which is enough to prove that the two systems have different solutions.

Answer:

r=8.5 in

Step-by-step explanation:

Using the formula

d=2r

Solving for r

r=d

2=17

2=8.5in

hope this helps.

Answer:

this answer is -1.8

Step-by-step explanation:

because you add and subtract all of them

Answer:

0.9

Step-by-step explanation:

Basic angle =

[tex]cos { }^{ - 1} ( \frac{4}{5} ) = 36.870 \: degrees \\ [/tex]

Therefore,

[tex]theta = 180 + 36.870 = 216.87 \: degrees[/tex]

Therefore,

[tex] \sin( \frac{theta}{2} ) = \sin(108.435 ) = 0.9[/tex]

Answer:

[tex]1\frac{7}{10}[/tex] kg of sugar

Step-by-step explanation:

Amount of sugar on Wednesday: [tex]3\frac{2}{3}[/tex] kg

Convert the mixed number fraction to an improper fraction (multiply the whole number by the numerator)

[tex]3\frac{2}{3}[/tex] ⇒ [tex]\frac{6}{3}[/tex] ⇒ [tex]2[/tex]

Therefore, Emila bought 2 kg of sugar on Wednesday.

Because Emila bought [tex]\frac{3}{10}[/tex] kg less sugar on Thursday, subtract [tex]\frac{3}{10}[/tex] from [tex]2[/tex].

[tex]2-\frac{3}{10}[/tex]

Convert 2 into a fraction with 10 as the denominator

[tex]=\frac{20}{10} -\frac{3}{10}\\=\frac{17}{10}[/tex]

Convert the fraction into a mixed number

[tex]= 1\frac{7}{10}[/tex]

Therefore, Emila bought [tex]1\frac{7}{10}[/tex] kg of sugar on Thursday.

I hope this helps!

The answer is 14.15 :)

Answer:

gracias for the free points :)

Step-by-step explanation:

Answer:

From 8^2/8.

Step-by-step explanation:

Answer:

10 Ans.......

Step-by-step explanation:

Given:

=√200÷ 2

Solution:

= √200÷2

= √100

= 10 Answer......

Answer:

i dont know

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

each wand = 2 so you add the wands and multiply the wands by 2

then you divide the answer to the last calculation by 4

which is 28 divided by 4

which = 7

The mean of the data is 7.

The simplest and most popular way to measure a mean or average is the arithmetic mean. It simply entails adding up a collection of numbers, then dividing that total by the total number of numbers in the series.

Given:

Glenda = 2 x 2= 4 wands

Tink = 3 x 2= 6 wands

Merry = 4 x 2= 8 wands

Gracie = 5 x 2= 10 wands'

So, Arithmetic Mean = (Sum of wands) / (Total number of wands)

                                  = (4+ 6 +8 + 10)/4

                                  = 28/4

                                  = 7

Hence, the mean is 7.

Learn more about Arithmetic Mean here:

https://brainly.com/question/13000783

#SPJ2

Answer:

y = 57

Step-by-step explanation:

y α x

y = kx ; k = Constant of proportionality

81 = k* 54

k = 81/54

k = 1.5

Value of y when x = 38

y = kx

y = 1.5 * 38

y = 57

Hence, y = 57 when x = 38

Answer:

47% and 45%

Step-by-step explanation:

please mark brainiest

Answer:

-6/7p+1/7

Step-by-step explanation:

-4/7p+(-2/7)+1/7

-4/7p-2/7p+1/7

-6/7p+1/7

Answer:

<A=135°

now

3x+6+x+2=180

sum of two opposite angle of the cyclic quadrilateral is 180

4x=180-8

x=172/4=43°

<A=3×43+6=135° is your answer

Answer:

x≥9

Step-by-step explanation:

I hope this helps you

Answer:

A. x ≥ 9

Step-by-step explanation:

To get the answer you first move all of the terms not containing a variable, to the right side of the inequality. This would cause you to add 3 and 6, giving you 9. To get your answer of x ≥ 9. Hope this helps... have a great day! :))

Answer:

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

x represents the amount of guests going to the birthday party, with the amount of money per guest being 12. You would multiply those two together, but as we do not know the total amount of guests, we keep it as a variable. 125 is the amount before the guests even know about the party, so therefore, you would need to use that equation.

Answer:

10^22

Step-by-step explanation:

Answer:

sure is = 9023000000

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

set up like 240-120

240-120=120

120 divided by 2 equals 60

therefor, the angle is 60 degrees

Answer:

The correct answer is (-3,-7). This is because you can plug it in and the two sides are equal to each other. When you plug -3 in for x, you subtract for from it and get -7 since the y term is -7 the answer is -7=-7, thus (-3, -7) is the answer.

Step-by-step explanation:

Hope this helps     :)

Answer:

36 miles per gallon (mpg)

Step-by-step explanation:

To solve this problem, you are going to divide the total miles driven by the total gallons of gas used. This will mean that you will divide 1008 miles by 28 gallons. This will result in a final answer of 36 miles per gallon. My work is below and please let me know if you have any questions!

1008 / 28 = 36 miles per gallon

Answer:

1 gallon = 36 miles

Step-by-step explanation:

In order to find out you need to divide 2008 miles by 28 gallons

Answer:

Number of dolphins in zoo * number of fish per dolphin.

Step-by-step explanation:

Hansen won the raffle At the zoo and gets to feed the dolphins! The dolphin trainer gives Hansen a bucket of fish to divide evenly among five dolphins. Each dolphin gets four fish. Which equation can you use to find the number of fish F in the bucket before hansen feeds them

Given that:

Number of dolphins = 5

Fish in bucket is distributed equally ; hence, Number of fish per dolphin = 4

To obtain the initial number of fish in bucket before hansen began to feed the fishes :

Number of fish in bucket before hansen feeds then :

Number of dolphins in zoo * number of fish per dolphin.

5 * 4 = 20

Answer:

3.

Step-by-step explanation:

Square root is the opposite of power. Simplify:

[tex]\sqrt{3 * 3 } = \sqrt{3^2} = 3[/tex]

3 is your answer.

~

Answer:

√{3×3}=√3²=±3 is your answer

Answer:

5 (x + 2y - 3)

Step-by-step explanation:

5x + 10y - 15 = 5*x + 5*2y  - 5*3

                    = 5* (x + 2y - 3)

Answer:

Step-by-step explanation:

Answer: C: 50 feet

Step-by-step explanation: The area of the basketball is 4700 square feet. We know that one side of the court is 94 feet long. To find the area for a rectangle, the formula would be Area=base times height. The "height" of this rectangle is 94 feet long. Now we need to find the base.

If you divide 4700 by 94, you will end up with 50 feet. To check, you multiply 50 by 94 and should end up with 4700. 50 feet is your base length.

Something happened when you copy and pasted the question, was it important to the question?

Answer:

a) x= 5 or x= -3

b) x = -4 + [tex]\sqrt{26}[/tex] or -4 - [tex]\sqrt{26}[/tex]

Step-by-step explanation:

a) [tex]x^{2}[/tex] - 2x - 15 =0

x = [tex]\frac{-(-2) +\sqrt{(-2)^{2} - 4(1)(-15)}}{2(1)}[/tex]  or  [tex]\frac{-(-2) -\sqrt{(-2)^{2} - 4(1)(-15)}}{2(1)}[/tex]

x= 5 or x=-3

b) [tex]x^{2}[/tex] + 8x - 10 =0

x = [tex]\frac{-(8) +\sqrt{(8)^{2} - 4(1)(-10)}}{2(1)}[/tex]  or  [tex]\frac{-(8) -\sqrt{(8)^{2} - 4(1)(-10)}}{2(1)}[/tex]

x = -4 + [tex]\sqrt{26}[/tex] or -4 - [tex]\sqrt{26}[/tex]