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4 years ago

What is 270 divided by 6

Mathematics

2 answers:

morpeh [17]4 years ago

8 0

Your answer would be 45,because 6 times 45 equals to 470,and thats how many times 6 can go into 470,exactly 45 times

Elena-2011 [213]4 years ago

6 0

The answer to the question you are trying to do which is 270 divided by 6 the answer is 45

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Given the equation 5x − 4 = –2(3x + 2), solve for the variable. Explain each step and justify your process.

blagie [28]

A.
$5x-4=-2(3x+2) \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
5x-4=-2 \times 3x-2 \times 2 \\
5x-4=-6x-4 \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 6x to both sides} \\
11x-4=-4 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 4 to both sides} \\
11x=0 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{divide both sides by 11} \\
x=0$

B.
$3(2x-4)=5x-1 \\
6x-12=5x-1 \\
\boxed{11x-12=-1} \Leftarrow \hbox{the first mistake} \\
11x=11 \\
\boxed{x=11} \Leftarrow \hbox{the second mistake}$

Megan's solution isn't correct.
The first mistake: she subtracted 5x from the right-hand side of the equation, but added 5x to the left-hand side.
The second mistake: she divided the right-hand side of the equation by 11, but didn't divide the left-hand side.

The correct solution:
$3(2x-4)=5x-1 \ \ \ \ \ \ \ \ \ \ \ |\hbox{expand the bracket} \\
3 \times 2x+3 \times (-4)=5x-1 \\ 6x-12=5x-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{subtract 5x from both sides} \\
x-12=-1 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\hbox{add 12 to both sides} \\
x=11$

3 0

3 years ago

HELP ASAP Three generous friends, each with some cash, redistribute their money as follows: Ami gives enough money to Jan and To

DENIUS [597]

Answer:

$252

Step-by-step explanation:

This is quite a neat question, with no fixed equation. Given that each person gives the other two enough money to double their cash, if Toy had 36 dollars beginning, and 36 at the end - presumably the cash of each person, ( their starting and original ) should be the same as well. Respectively each should be a multiple of 36 dollars.

Jan's " give away " = Ami + 36, Jan - 108, Toy + 72

Toy's " give away " = Ami + 72, Jan + 36, Toy - 108

Therefore, we can conclude that Ami = 144 at the start, presuming he gave away 108 dollars, with a remaining 36. Jan, having 144 dollars ( after having his 72 dollars doubled by Ami ) gives 36 to Ami to double his amount, and 72 to double Toy's doubled amount, remaining with 36 dollars. Now Ami has 72 dollars, Jan has 36, and Toy has 144. Then, Toy double's Ami and Jan's amount, giving away 72 and 36 dollars, remaining with 36 dollars himself. Therefore, Ami has 144 dollars, Jan has 72 dollars, and Toy has 36 dollars both at the beginning and end.

144 + 72 + 36 = 252 dollars ( in total )

6 0

3 years ago

Solve the system of equations. 2x - 4y = 10 7x - 9y = 12

drek231 [11]

2x - 4y = 10
7x - 9y = 12
_________
9x - 5y = 2

3 0

3 years ago

Read 2 more answers

Solve for x. x3 =−125

mafiozo [28]

Answer:

x = -5 or x = 5 (-1)^(1/3) or x = -5 (-1)^(2/3)

Step-by-step explanation:

Solve for x:

x^3 = -125

Taking cube roots gives 5 (-1)^(1/3) times the third roots of unity:

Answer: x = -5 or x = 5 (-1)^(1/3) or x = -5 (-1)^(2/3)

6 0

4 years ago

The flagpole in Terry's schoolyard is 42 ft tall. On a sunny day, the flagpole casts a shadow 20 ft long. What is the angle of e

kirill [66]

Answer:

64.5°

Step-by-step explanation:

angle of elevation is the angle from the point where the shadow ends. this create a right angle triangle. using tan, you can find the angle.

tan theta = opposite/adjacent

angle = tan^-1(42/20)

angle = 64.5°

4 0

3 years ago