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3 years ago

5

What is the volume of the cup in gallons

1 answer:

oksian1 [2.3K]3 years ago

3 0

1 cup = 0.0625 gallon

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The total cost for a bucket of popcorn and 4 movie tickets is $56. The total cost for the same size bucket of popcorn and 6 movi

Nat2105 [25]

The answer is maybe the third one y=14x+6

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4 years ago

1/3 x− 1/8 y=3 <br> 7y+9x=−2<br> please solve the system <br> 45 points for who does

photoshop1234 [79]

Answer:

$x=6\\y=-8$

Step-by-step explanation:

$\frac{1}{3}x-\frac{1}{8}y=3\\ 7y+9x=-2$

One method could be rewriting the second equation as x in terms of y and solving by replacing in the first equation.

$7y+9x=-2\\9x=-2-7y\\x=\frac{-7y-2}{9}$

Replace...

$\frac{1}{3}x-\frac{1}{8}y=3$

$\frac{1}{3}(\frac{-7y-2}{9})-\frac{1}{8}y=3$

$\frac{-7y-2}{27}-\frac{1}{8}y=3$

$-\frac{7}{27}y-\frac{2}{27}-\frac{1}{8}y=3$

add $\frac{2}{27}$ on both sides.

$-\frac{7}{27}y-\frac{1}{8}y=3+\frac{2}{27}$

Combine like terms

$\frac{(-7)(8)-(1)(27)}{(27)(8)} y=\frac{(3)(27)+2}{27}$

$\frac{-56-27}{216} y=\frac{81+2}{27}$

$\frac{-83}{216}y =\frac{83}{27}$

Now, to get rid of the fraction and isolate y, multiply by the reciprocal or the inverted fraction.

$(\frac{216}{-83}) \frac{-83}{216}y =\frac{83}{27}(\frac{216}{-83})$

$y=\frac{216}{-27}$

Simplify

$y=-8$

Now replace the value of y in either equation to find x.

$7y+9x=-2\\7(-8)+9x=-2\\-56+9x=-2$

add 56

$56-56+9x=-2+56\\9x=54\\$

Divide by 9

$\frac{9x}{9}=\frac{54}{9}\\ x=6$

To check whether these values are accurate, replace in either equation both values and you should have an equality. In this case I'll do it in both equations.

$\frac{1}{3}x-\frac{1}{8}y=3$

$\frac{1}{3}(6)-\frac{1}{8}(-8)=3$

$2-(-1)=3\\2+1=3\\3=3$

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

$7y+9x=-2\\7(-8)+9(6)=-2\\-56+54=-2\\-2=-2$

7 0

3 years ago

Please help me on this will give you brainliest

Katena32 [7]

Answer:

3,000,000+700,000+4,000

7 0

3 years ago

Read 2 more answers

Ellen must take 4 courses this semester. She has a list of 3 math courses and 4 science courses to from which to choose. (a) Ini

prisoha [69]

Answer:

So the number of total combinations is 35.

Step-by-step explanation:

We know that Ellen must take 4 courses this semester. She has a list of 3 math courses and 4 science courses.

Therefore, she have total 7 courses.

So, we calculate the number of combinations to choose 4 out of 7 courses.

We get:

$C_4^7=\frac{7!}{4!(7-4)!}=35\\$

So the number of total combinations is 35.

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4 years ago

X= ?? geometry ??? And how ????

steposvetlana [31]

Using the equations for tangent and secant lines:

Let the unknown length of the line inside the circle = y

6^2 = 3 x (y+3)

Simplify:

36 = 3y+9

Subtract 9 from both sides:

27 =3y

Divide both sides by 3:

Y = 9

Now add to get x:

X = 9 + 3 = 12

X = 12

8 0

3 years ago