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yanalaym [24]
3 years ago
12

3 (x - 2) = 7 – (4 - x)​

Mathematics
2 answers:
larisa [96]3 years ago
7 0

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x=92x=92

Decimal Form:

x=4.5x=4.5

Mixed Number Form:

x=412x=412

-BARSIC- [3]3 years ago
7 0

the answer is x = 9/2

explanation

3 (x - 2) = 7 – (4 - x)

apply the distributive law to 3(x - 2)

to get 3x - 6

simplify 7-(4-x)

3 + x

you now have

3x - 6 = x + 3

add 6 to both sides

<u>-6+6=0</u>   <u>3 + 6 = 9</u>

3x=x+9

subtract x from both sides

<u>3x - x = 2x  </u>   <u>x - x = 0</u>

2x = 9

divide both sides by 2

2x/2 = x    9/2

to get x = 9/2

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The revenue generated by the band is given by the expression 50x+150y.
Dafna1 [17]

Answer:

They exceed their goal by $150.

Step-by-step explanation:

If x = weekday shows and y = weekend shows, then

50(15) + 150(6)

750 + 900 = 1650

1650 - 1500 = 150

8 0
1 year ago
Mr. Horn had a sheet of plywood that measured 84 inches long and 65 inches wide. He sawed th sheet of plywood in half. What was
Fofino [41]
Draw a rectangle with one side equal to 84 in. and the other side equal to 65 in. We know that area = l*w, so the area of the rectangle is 5,460 sq. in. Since Mr. Horn cut the piece of plywood in half, he produces two identical pieces of plywood, with half the amount of area as the original. So, 5,460 sq. in. divided by 2 = 2,730 sq. in. 
7 0
3 years ago
Gio ran 5 miles yesterday. This distance is 80% of the distance he planned to run.
aleksklad [387]

Answer:

Gio planned to 6 miles.

Step-by-step explanation:

this is because  5 - 80% = 1

which means he wanted to run 1 more mile

which also means that he planned to run 6 miles

3 0
3 years ago
Read 2 more answers
the diameters of Douglas firs grown at a Christmas tree farm are normally distributed with a mean of 4 inches and a standard dev
aksik [14]

Answer:

Proportion of the trees will have diameters between 2 and 6 inches = 0.8164

Step-by-step explanation:

Given -

Mean (\nu )  = 4

Standard deviation (\sigma  ) = 1.5

Let X be the diameter of tree

proportion of the trees will have diameters between 2 and 6 inches =

P(2<  X<  6)   =  P(\frac{2 - 4 }{1.5}< \frac{X - \nu }{\sigma}<  \frac{6 - 4 }{1.5})

                         = P(\frac{-2 }{1.5}< Z<  \frac{2 }{1.5})     Put  [Z = \frac{X - \nu }{\sigma}]

                         =  P(-1.33< Z<  1.33)

                          = (Z<  1.33) - (Z<  -1.33)

                          = .9082 - .0918

                           = 0.8164

6 0
3 years ago
a segment has and endpoint at (-6, 8). The midpoint is at (-6, 2). What are the coordinates of the other endpoint?
Montano1993 [528]

Answer:

(-6,-4)

Step-by-step explanation:

The first endpoint of the line is (-6,8), we can call

x_1 = -6

and

y_1 = 8

Let the last endpoint have coordinates (x_2,y_2)

Also, the midpoint formula is:

(x_1+x_2)/2 , (y_1+y_2)/2

Now, plugging these values is the formula, we get:

(-6+x_2)/2 = -6

-6+x_2=-12

x_2=-12+6 = -6

x_2 = -6

Also

(8+y_2)/2=2

8+y_2=4

y_2=4-8=-4

y_2 = -4

The coordinates of the other endpoint is (-6,-4)

8 0
3 years ago
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