All categories

3 years ago

2(x-1)+8=4x-20 find the solution (15 points)

Mathematics

2 answers:

Alenkasestr [34]3 years ago

8 0

Answer:

Step-by-step explanation:

2(x-1)+8=4x-20

distribute 2

2x-2+8=4x-20

2x+6=4x-20

subtract 2x from both sides

6=2x-20

add 20 to both sides

26=2x

divide both sides by 2

x=13

Please rate brainliest if this helped you.

devlian [24]3 years ago

6 0

Answer:

x=13

Step-by-step explanation:

2(x-1)+8=4x-20

2x-2+8=4x-20

2x+6=4x-20

-4x -4x

-2x+6=-20

-6 -6

-2x=-26

-2 -2

x=13

You might be interested in

Find the missing leg of a triangle with legs of 7 and a hypotenuse of 10<br> Help please

ahrayia [7]

Answer:

i believe its 24 in for the other leg

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Ajar contains 12 red balls, 7 green balls, 10 white balls, and 7 yellow balls.

USPshnik [31]

Answer:

C. Independent, 49/1296

Step-by-step explanation:

A jar contains 12 red balls, 7 green balls, 10 white balls, and 7 yellow balls.

Total balls = 12+7+10+7

Total balls= 36

Two balls are chosen at random with replacement.

The probability that the both balls are green = probability of the first ball to he green * probability of the second ball to be green

The probability that the both balls are green= 7/36 * 7/36

The probability that the both balls are green= 49/1296

8 0

3 years ago

How many 2.5 inch by 6 inch tiles will fit on a back splash that is 2.5 feet tall and 8 feet long?

Maksim231197 [3]

Area of each of the tiles = (2.5 * 6) inches^2
   = 15 inches^2
Now we have to get down to the case of the backsplash
1 feet = 12 inches
Then
Length of the back splash = 8 feet
   = (8 * 12) inches
   = 96 inches
Height of the back splash = 2.5 feet
   = (2.5 * 12) inches
   = 30 inches
Then
Area of the back splash = ( 30 * 96) inches^2
   = 2880 inches^2
So
The number of tiles required to fit in the back splash = 2880/15
   = 192
So 192 tiles will be required to fit in the back splash. I hope the procedure is clear enough for you to understand.

8 0

3 years ago

Read 2 more answers

The frequency polygon shows the distances thrown by the entrants in the University and College Discus Finals at the 2003 Drake R

storchak [24]

Answer:

70.83% entrants will have distances between 150 and 160.

Step-by-step explanation:

This question is incomplete without an attachment; here is the attachment enclosed with the answer.

From the graph attached,

Number of entrants having distances between 150 and 160 feet = 8 + 9 = 17

Number of entrants between 140 and 200 feet = 8 + 9 + 4 + 2 + 1 = 24

Percent of entrants having distance between 150 and 160 feet = $\frac{\text{Number of entrants between 150 and 160}}{\text{Number of total entrants}}\times 100$

= $\frac{17}{24}\times 100$

= 70.83%

Therefore, 70.83% entrants will have distances between 150 and 160.

3 0

3 years ago

The base of a solid oblique pyramid is an equilateral triangle with an edge length of s units. Which expression represents the h

aev [14]

Answer:

The height of the triangular base of the pyramid is s√3/2 units

Step-by-step explanation:

Here in this question, what we are concerned with is to calculate the height of the equilateral-triangle base of the oblique pyramid.

From the question, we are told that the equilateral triangle has a length of a units.

Let’s have a recall on some of the properties of equilateral triangles;

a. All sides are of equal lengths. Meaning side s is the length of all the sides in this case.

b. All angles are equal, meaning they are 60 degree each.

c. Dropping a perpendicular line from the top vertex to the base length will split the equilateral triangle into two right-angled triangles of angles 60 and 30 each.

So to find the height of this triangular base, we can use any of the two right angled triangles.

Kindly recall that the properties of each would be angles 30, 60 and side length s

so to calculate the height h, we can use trigonometric identities

Mathematically, the trigonometric identity we can use is the sine( side length s represents the hypotenuse, while the height h represents the opposite facing the angle 60 degrees)

Thus; we have

Sine of an angle = length of the opposite/length of hypotenuse

sin 60 = h/s

h = s sin 60

In surd form,

sin 60 = √3/2

Thus;

h = s * √3/2 = s√3/2 units

3 0

4 years ago