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3 years ago

7

Tyler made 9 1/2 cups of lemonade. He offers 3/4 cup serving of lemonade to some relatives at a family picnic.what is the greate

s number

1 answer:

VARVARA [1.3K]3 years ago

5 0

If you are asking how many people are there, it would be 12 people get a 3/4 cup of lemonade

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A fraction reduces to 36 if its numerator is (6x)^5 what is it’s denominator

beks73 [17]

Set up an equation:

Numerator is the top number and denominator is the bottom number in a fraction.

(6x)^5 / d = 36

(6x)^5 can be rewritten as 6^5x^5

6^5x^5 / d = 36

Raise 6 tot he power of 5:

7776x^5 /d = 36

Multiply both sides by d:

7776x^5 = 36d

Divide both sides by 36:

d = 7776x^5 / 36

d = 216x^5

7 0

3 years ago

Please please helpppp.

padilas [110]

There are 3 ways of solving a simultaneous problem, substitution method, elimination method and Gauss-Jordan method. I'm gonna use the substitution method since it's easier and i think it would suit your level more.

First let's try solving for y since it's easier to start with.

Firstly we have to find an equation for x:

$x-2y=2\\x-2y+2y=2+2y\\x=2+2y$

Great, now we can use the substitution method to find the value of y using the first equation:

$2x+3y=11\\2(2+2y)+3y=11\\4+4y+3y=11\\7y=7\\y=1$

Now we know that y=1 we can solve the first equation we made:

$x=2+2y\\x=2+2(1)\\x=4$

And the answer is $x=4 , y= 1\\(4,1)$

Double check:

$2x+3y=11\\2(4)+3(1)=11\\8+3=11\\11=11\\\\x-2y=2\\(4)-2(1)=2\\2=2$

And that's our final answer! (4,1)

7 0

3 years ago

Solve 2x + 5y = 20; 3x - 10y = 37 by elimination. How do you do this? Thank-you!

mr Goodwill [35]

$\left\{\begin{array}{ccc}2x+5y=20&\text{multiply both sides by 2}\\3x-10y=37\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}4x+10y=40\\3x-10y=37\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad7x=77\qquad\text{divide both sides by 7}\\.\qquad\boxed{x=11}\\\\\text{Put the value of x to the first equation:}\\\\2(11)+5y=20\\\\22+5y=20\qquad\text{subtract 22 from both sides}\\\\5y=-2\qquad\text{divide both sides by 5}\\\\\boxed{y=-\dfrac{2}{5}}\\\\Answer:\ \boxed{x=11\ and\ y=-\dfrac{2}{5}}$

6 0

3 years ago

Solve the equation <br>8(4- x) = 7x + 2<br>x=

Jet001 [13]

Answer: x=2

Step-by-step explanation:

Expand.

32−8x=7x+2

Add 8x to both sides.

32=7x+2+8x

Simplify 7x+2+8x7x+2+8x to 15x+215x+2.

32=15x+2

Subtract 22 from both sides.

32−2=15x

Simplify 32−2 to 30.

30=15x

Divide both sides by 15.

30/15=x

Simplify 30/15 to 2

2=x

Switch sides.

x=2

7 0

3 years ago

Three fifths of the members of a hiking club went on the last hiking trip. If 39 people went on the trip , how many are in the c

finlep [7]

Step-by-step explanation:

1. Since 39 is 3/5 of the club, divide by 3 to get 1/5 of the club

2. 1/5 of the club is 13 people

3. Multiply 13 by 5 to get 5/5 of the club (which is the whole club)

4. The whole club is 65 people

5. You can check it because 65×3/5=39

4 0

3 years ago