All categories

2 years ago

8(t+2) - 3(t-4) = 6(t-7) + 8

Mathematics

1 answer:

Zinaida [17]2 years ago

7 0

Answer:

t = 50 is the solution for the given expression 8(t+2) - 3(t-4) = 6(t-7) + 8

Step-by-step explanation:

Here, the given expression is 8(t+2) - 3(t-4) = 6(t-7) + 8

Solving the given expression, we get

8t + 16 -3t + 12 = 6t - 42 + 8

or, 5t + 18 = 6t - 34

⇒ 5t - 6t = -34 -16

or , -t = 50

or, t = 50

⇒ t = 50 is the solution for the given expression 8(t+2) - 3(t-4) = 6(t-7) + 8

You might be interested in

I have a 6 in the tens place and 7 in the ones place .I am greater than 200 but less than 400. what number am I?

Alinara [238K]

Either 267 or 367. Is there more info?

3 0

2 years ago

Read 2 more answers

If AABC = ADEF, which segment is congruent to AC?

masha68 [24]

Answer:

Segment DF

Step-by-step explanation:

The corresponding vertices are in the same order in both triangles.

ABC

DEF

Segment AC is congruent to segment DF.

3 0

3 years ago

-34x+6=-28<br> I need to learn how to solve for x

Dimas [21]

Answer:

x=1

Step-by-step explanation:

-34x+6=-28

-6 -6

-34x=-34

-34 -34

x=1

Subtract 6 from both sides. on the left the 6 will be canceled out and on the right -28-6= -34

Than you divide -34 on both sides on the left the -34 will be canceled and on the right -34 divided bt-34 is positive 1. So x equals 1.

8 0

2 years ago

Read 2 more answers

the average mark of three pupils are 68. what is the ratio of 5:4:3. how many marks did the best student get? HELP ME!

noname [10]

Answer:

85, 68, 51

Step-by-step explanation:

Average: The sum of all the numbers divided by the number of numbers

If the ratio of the scores is 5 : 4 : 3, let's just set it as 5x : 4x : 3x

Then using the definition of an average, we can write this equation.

(5x + 4x + 3x) / 3 = 68

Multiply both sides by 3.

5x + 4x + 3x = 68 * 3

Simplify.

12x = 204

x = 17

Now, substitute x = 17 into the original scores (5x, 4x, and 3x)

5x = 5 * 17 = 85

4x = 4 * 17 = 68

3x = 3 * 17 = 51

Just in case, let's check this answer. Find the average of the 3 test scores.

(85 + 68 + 51) / 3 =

204 / 3 = 68

Thus, the answers are correct

3 0

2 years ago

13. Given the volume, V, of the rectangular prism below, find h, the height of the prism. V = (x ^ 2 + 2x)/(x + 1) l= 2x + 4 w=

NikAS [45]

Given:

Volume of a rectangular prism is:

$V=\dfrac{x^2+2x}{x+1}$

Dimensions of the rectangular prism are:

$l=2x+4$

$w=\dfrac{x}{8}$

To find:

The height of the rectangular prism.

Solution:

The volume of a rectangular prism is:

$V=l\times w\times h$

After substituting the values, we get

$\dfrac{x^2+2x}{x+1}=(2x+4)\times \dfrac{x}{8}\times h$

$\dfrac{x(x+2)}{x+1}=\dfrac{2x(x+2)}{8}\times h$

$\dfrac{x(x+2)}{x+1}\times \dfrac{8}{2x(x+2)}=h$

$\dfrac{1}{x+1}\times \dfrac{8}{2}=h$

$\dfrac{4}{x+1}=h$

Therefore, the correct option is C.

8 0

3 years ago