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2 years ago

Which is the solution of the equation 1/4 ( 3x - 1 ) = 2x -2/3

Mathematics

1 answer:

agasfer [191]2 years ago

3 0

Answer:

x = 1/3

Step-by-step explanation:

Perform the indicated multiplication:

Clear out the fractions. The LCD here is 12, so multiply both sides by 12, obtaining:

3(3x - 1) = 24x - 8, or

9x - 3 = 24x - 8

Combining like terms, we get 5 = 15x, so that x = 1/3.

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What’s the midpoint of the line segment joining A and B A(2,-5);B(6,1)

IRISSAK [1]

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ A(\stackrel{x_1}{2}~,~\stackrel{y_1}{-5})\qquad B(\stackrel{x_2}{6}~,~\stackrel{y_2}{1}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left( \cfrac{6+2}{2}~~,~~\cfrac{1-5}{2} \right)\implies \left( \cfrac{8}{4}~,~\cfrac{-4}{2} \right)\implies (4,-2)$

7 0

2 years ago

1/3 of 7 1/6 is what number

serg [7]

I believe its approx. 2.365 because if you do

33/100 * x/43/6 you get 100x = 236.5 which simplifies to 2.365

8 0

3 years ago

Read 2 more answers

What is the equation of g(x)?

Ksenya-84 [330]

Answer:

$g(x)=10^{x-3}$

Step-by-step explanation:

Notice that function $g(x)$ has the exat shape of function $f(x)$ , and it has just be translated to the right by 3 whole units.

Recall that horizontal translations to the right involve subtracting the number of units moved in the translation from the variable "x". therefore, in our case this means:

$f(x)=10^x\\g(x)=10^{x-3}$

4 0

2 years ago

What’s the area of 36 square meters perimeter of 30 meters what’s the width and length of those?

Anvisha [2.4K]

≠ means not equal to
L x w = 36
2L + 2w = 30

1. Find the multiples of 36

1 and 36
2 and 18
3 and 12
4 and 9
6 and 6

2. Figure out which set of numbers multiplied by 2 equals 30.

For 1 and 36:
2(1) + 2(36) = 2 + 72 = 74 ≠ 30

For 2 and 18:
2(2) + 2(18) = 4 + 32 = 36 ≠ 30

For 3 and 12:
2(3) + 2(12) = 6 + 24 = 30

So your answer is 3 and 12

3 0

2 years ago

8. Derek was observing the change in water levels in his fish pond. The table below show the change in water levels of the fish

Alla [95]

Answer:

H. 2 3/4

Step-by-step explanation:

DATE >> WATER LEVEL CHANGE (inches)
August 25 >> -0.75
September 8 >> -1 3/ 8
September 22 >> 2.5
October 6 >> -1/2
October 20 >> 1 7/8

Total change:

1 7/8 - (-0.75) =
1+ 7/8 + 3/4 =
1 + 7/8 + 6/8 =
1 + 13/8 =
1+ 1 5/8 =
2 5/8

The closest answer option is H. 2 3/4

8 0

2 years ago