Subtract -7n + 2 from 2n - 1.

A. -9n + 3

B. -5n + 1

C. 9n - 3

D. 9n + 1

Answer:  240 liters

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Work Shown:

x = capacity of barrel in liters

This value of x is some positive real number. It represents the most amount of water the barrel can hold.

The problem states that the barrel is 2/3 full to start with. This means, we start off with (2/3)x liters of water. Then we subtract off 60 of them to get to 5/12 full, meaning we have (5/12)x liters left.

We can form this equation

(2/3)x - 60 = (5/12)x

Multiply both sides by 12 to clear out the fractions

(2/3)x - 60 = (5/12)x

12*( (2/3)x - 60 ) = 12*(5/12)x

12*(2/3)x - 12*60 = 12*(5/12)x

8x - 720 = 5x

From here we solve for x

8x - 5x = 720

3x = 720

x = 720/3

x = 240

The barrel's full capacity is 240 liters

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

Check:

2/3 of 240 = (2/3)*240 = 160

The barrel starts off with 160 liters of water inside.

We then use 60 of them to be left with 160-60 = 100 liters

Note how 100/240 = (5*20)/(12*20) = 5/12, showing that 100 liters out of 240 total reduces to the fraction 5/12. In other words, when we say "5/12 full" we mean 100 liters full. This helps confirm we have the right answer.

Answer:

Step-by-step explanation:

the ration of the 2 figures are 4/3 from the larger to the smaller one

this means that 4/3*6=8

x-1=8

x=9

choice c

Answer:

9

Step-by-step explanation:

Absolute value means the distance from 0 on a number line, and -9 is 9 spots away from 0

Answer:

9

Step-by-step explanation:

Absolute value just means the positive value of the number

Answer: 2 + x

Step-by-step explanation:

Answer:

4. 10g

Step-by-step explanation:

8g + 2 + 4g - 2 - 2g

8g + 2 + 4g - 2 - 2g = 10g

8g + 2 + 4g - 2 -2g = 0

Final Answer:

10g

Answer:

Well thats pretty easy. the answer is non-determineable

Step-by-step explanation:

prove me wrong

The solution for pi is π = 2A/r² where r is the radius.

The area of a circle is defined as the space occupied by the circle in a two-dimensional plane. In other word, the space occupied under the region or circumference of a circle is called the area of the circle.

The formula for the area of a circle is A = πr²,

Where r is the radius of the circle.

For example, if the radius of circle is 6cm, then its area will be: Area of a circle with 6 cm radius = πr² = π(6)² = 36π square cm.

Given data as :

A = 1/2 πr²

Solve for pi

⇒ A = 1/2 πr²

Multiply by 2 both the side

⇒ 2A =  πr²

⇒ 2A/r² =  π  or

⇒  π = 2A/r²

If A = 76 cm² and π  = 22/7,

⇒ A = πr²

⇒ A/π = r²

⇒ √A/π = r

Substitute the values, we have:

⇒ √76 /(22/7) = r

⇒ √76 * 7/22 = r

⇒ √532/22 = r

⇒ √24.1818 = r

⇒ 4.917 = r

⇒ r = 4.92 cm (Rounding to two decimal places)

Learn more about the area of the circle here:

brainly.com/question/11952845

#SPJ2

The question seems to be incomplete the correct question would be

If A = 76 cm² and π  = 22/7, what is the value of r in centimeters?

Answer:

[tex]x=4\sqrt{2}[/tex]

Step-by-step explanation:

The given triangle is a 45°-45°-90° triangle. Use the following rule:

[tex]leg=leg\\\\hypotenuse=leg*\sqrt{2}[/tex]

The length of the legs is 4. Insert this value into the equation:

[tex]h=4*\sqrt{2}[/tex]

Simplify:

[tex]h=4\sqrt{2}[/tex]

:Done

Answer:

a) I don't know sorry

b) i think 2,25km but i'm not sure

Step-by-step explanation:

1:25 000 cm

1:25 00 dm

1:250 m

1:0,025 km

9.250=2250

2,25

Answer:

1759400

I like that a lot actually !!

Step-by-step explanation:

Have A Wonderful Day !!

Answer: 4 breaks

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

64÷16=4 breaks

Hope this helps :>

Answer:

Number of extra boxes= 120

Step-by-step explanation:

Giving the following information:

Batteries per box= 50

Number of batteries= 18,000

Number of batteries in ecxess= 6,000

We need to calculate the number of boxes required to cover the 6,000 extra batteries:

Number of extra boxes= number of batteries / batteries per box

Number of extra boxes= 6,000 / 50

Number of extra boxes= 120

9514 1404 393

Answer:

  B, E

Step-by-step explanation:

The ratios of side lengths in a 30-60-90 triangle are ...

  1 : √3 : 2

The two legs are the shorter sides, so any ratio that reduces to 1 : √3 is an appropriate choice:

  B.  1 : √3

  E.  2√3 : 6

Step-by-step explanation:

Law of Indices:

a^m * a^n = a^(m + n)

Hence,

8^(-8) * 8^(3) = 8^(-8 + 3) = 8^(-5).

Answer:

8^‐5

Step-by-step explanation:

I think this is correct. if those are exponents.

Answer:

Glenda is faster

Step-by-step explanation:

Glenda types 65 wpm (195/3), and Jorge types at 59 wpm (236/4)

Answer:

c

Step-by-step explanation:

and bro i am i have a brother that always on my account makes me that im cheating that im not and he always blames me so thats why my bro has too many gfs and always blames me

Answer:

To solve the system below by substitution, replace y in the second equation with 7−6x.

==> False

This statement is false. To solve the system by substitution, replace x in the second equation with 7−6x.

==> False.

This statement is false. To solve the system by substitution, replace y in the first equation with 7−6x.

==> False

This statement is false. To solve the system by substitution, replace y in the second equation with 6x−7.

==> True.

From the first equation, 6x-y=7

y= 6x-7

Answer: This statement is false. To solve the system by​ substitution, replace y in the second equation with 6x−7.

Answer:

-6 is the missing value.....

Answer:

(-6, 8); the missing value is -6

Step-by-step explanation:

First, you need to solve the given equation for x

1: 2x + 3y = 12 (Given)

2: 2x = -3y + 12 (Subtract 3y from both sides to isolate x)

3: x = -1.5y + 6 (Divide both sides by 2)

Now, you can solve for the missing x in the solution set (x, 8):

where x = -1.5y + 6 and y = 8,

x = -1.5(8) + 6

x = -12 + 6

x = -6

So, the missing value is -6

Answer:

okay I think this is the right answer if not I'm sorry

−576n⁴-1152x⁵

Answer:

Part A)

Height = 19.3 feet

Part B)

Distance = 5.2 feet

Step-by-step explanation:

Part A)

Let ladder reaches upto the h height of the wall.

[tex] \therefore \sin \theta =\frac{h}{length\: of\: the \:ladder} [/tex]

[tex] \therefore \sin 75\degree =\frac{h}{20} [/tex]

[tex] \therefore 0.9659258263 =\frac{h}{20} [/tex]

[tex] \therefore 0.9659258263\times 20 = h [/tex]

[tex] \therefore 19.3185165 \: ft= h [/tex]

[tex] \therefore h = 19.3 \: ft= h [/tex]

Part B)

Let the distance from the wall to the base of the ladder be x feet.

[tex] \therefore \cos \theta =\frac{x}{length\: of\: the \:ladder} [/tex]

[tex] \therefore \cos 75\degree =\frac{x}{20} [/tex]

[tex] \therefore 0.2588190451 =\frac{x}{20} [/tex]

[tex] \therefore 0.2588190451\times 20 = x [/tex]

[tex] \therefore 5.1763809 \: ft= x [/tex]

[tex] \therefore x = 5.2 \: ft [/tex]

Answer:

x=10

Step-by-step explanation:

X^2=6^+8^

x^2=36=64

x^2=100, square root of 100 =10

x=10

______________________________

 - We do this first because we need the get rid of the parenthesis in order to solve this like a regular problem. In this case the only way to do so was to divide by 2 to separate the Number/Variable from the parenthesis.

Equation at the end of Step 1:

 - We do this because we can't have 2 variables at the end of the equation so it's best to just combine them.

Equation at the end of Step 2:

 - We divided for the last step since their was 1 variable connected by a number and another number on the opposite side of the equal.

______________________________

Answer:

5

Step-by-step explanation:

100% right!!

Answer:

5 or -5

Step-by-step explanation:

rate of change is the same thing as slope (or m)

Answer:

2h+7j+2

Step-by-step explanation:

9h-7h=2

the 7j has nothing to add or subtract

the 2 is a -(-2) so you'd add it.