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3 years ago

Simplify the expression 2\3(-4)-(1/6-8/6

Mathematics

2 answers:

Scilla [17]3 years ago

8 0

Answer:

1/8

Step-by-step explanation:

julsineya [31]3 years ago

5 0

Answer:

When you simplify it, you get the answer of 1.

Step-by-step explanation:

Order of operation rules are required that you multiply and divide before you carrying out addition and/or subtraction.

So, simplify 2/3 / (-4) first, obtaining -1/6.

Now, you have -1/6 - 1/6 + 8/6, which combines to 1 or 6/6.

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Please help solve this system of equations

stepan [7]

Make a substitution:

$\begin{cases}u=2x+y\\v=2x-y\end{cases}$

Then the system becomes

$\begin{cases}\dfrac{2\sqrt[3]{u}}{u-v}+\dfrac{2\sqrt[3]{u}}{u+v}=\dfrac{81}{182}\\\\\dfrac{2\sqrt[3]{v}}{u-v}-\dfrac{2\sqrt[3]{v}}{u+v}=\dfrac1{182}\end{cases}$

Simplifying the equations gives

$\begin{cases}\dfrac{4\sqrt[3]{u^4}}{u^2-v^2}=\dfrac{81}{182}\\\\\dfrac{4\sqrt[3]{v^4}}{u^2-v^2}=\dfrac1{182}\end{cases}$

which is to say,

$\dfrac{4\sqrt[3]{u^4}}{u^2-v^2}=\dfrac{81\times4\sqrt[3]{v^4}}{u^2-v^2}$

$\implies\sqrt[3]{\left(\dfrac uv\right)^4}=81$

$\implies\dfrac uv=\pm27$

$\implies u=\pm27v$

Substituting this into the new system gives

$\dfrac{4\sqrt[3]{v^4}}{(\pm27v)^2-v^2}=\dfrac1{182}\implies\dfrac1{v^2}=1\implies v=\pm1$

$\implies u=\pm27$

Then

$\begin{cases}x=\dfrac{u+v}4\\\\y=\dfrac{u-v}2}\end{cases}\implies x=\pm7,y=\pm13$

(meaning two solutions are (7, 13) and (-7, -13))

8 0

2 years ago

Boys Relay Race

Rzqust [24]

A. 1
b. 1
c. 1
d. 1/2

2. 1/2
3. Yes they did break it because there are 3 wholes.

6 0

3 years ago

The variable is x. Find a equation with x with one of the numbers. Then the answer will be x=blank

Nataly_w [17]

X=54 you do 331-7=324 the do 324/6=54 the end hope this helps

7 0

3 years ago

At a park, there are 38 people playing tennis some or playing doubles and some are playing singles there are 13 matches in progr

dmitriy555 [2]

X = number of singles matches
y = number of doubles mnathes

so we have the equation x + y = 13.......(1)

also

2x + 4y = 38 ...........(2)

(1) and (2) are the required equations

b) Find how many maches are in progress by solivng the above equations:-

x + y = 13 multiply this by -2:-
-2x - 2y = -26
2x + 4y = 38 Adding to removes the terms in x:-

2y = 12

y = 6

so x = 13-6 = 7

So the answer is 6 double matches and 7 singles are in progress.

5 0

2 years ago

Sam started his homework at 5:20. If his homework took him 1 hour and 35 minutes, is it true that he finished his homework at 6:

charle [14.2K]

Answer:

False

Step-by-step explanation:

5:20 + 1:35 is 6:55, not 6:40/

8 0

2 years ago

Read 2 more answers