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11111nata11111 [884]
3 years ago
9

What is the value of t in the equation 3(2t + 5) = 5t + 25? (4 points)

Mathematics
2 answers:
SSSSS [86.1K]3 years ago
5 0
3 ( 2t + 5 ) = 5 t + 25

3 * 2 t + 3 * 5 = 5 t + 25

6 t + 15 = 5 t + 25

6t - 5t = 25 - 15

t = 10

Hope this helps!
zvonat [6]3 years ago
3 0

Answer:

The solution of the equation is t=10

C is correct option

Step-by-step explanation:

Given: 3(2t+5)=5t+25

We need to solve for t

3(2t+5)=5t+25                       (Distributive property)

Distribute 3 over the bracket (2t+5)

6t+15=5t+25

Move variable term left side and constant right side

6t-5t=25-15

Combine like term

t=10

Hence, The solution of the equation is t=10

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In the annual examination, Rashmi scored 480 marks out of 600. Rajan scored 560
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Answer:

They performed the same, with 80% for both of their marks.

Step-by-step explanation:

Rashmi's mark in percentage : (480/600) x 100  = 80%

Rajan's Mark in percentage : (560/700) x 100 = 80%

To find anyone's marks in percentage, you can use :

(marks scored/full marks) x 100.

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3 years ago
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A line passes through the point (2, 3) and has a slope of -2. Which is the equation of the line in point-slope form? A) 2x + y =
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Step-by-step explanation:

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Write the point-slope form of an equation of the line through the points (-7, 7) and (4, 1).
seraphim [82]

Answer:

Choice B. \displaystyle y - 7 = -\frac{6}{11} \, (x + 7).

Step-by-step explanation:

Start by finding the slope of this line. Let (x_1,\, y_1) and (x_2,\, y_2) represent two distinct points on a line on a Cartesian Plane. (That is, x_1 \ne x_2.) The slope of this line would be:

\displaystyle \frac{y_2 - y_1}{x_2 - x_1}.

For the line in this question:

  • x_1 = -7,
  • y_1 = 7;
  • x_2 = 4,
  • y_2 = 1.

Indeed, x_1 \ne x_2. The slope of this line would thus be \displaystyle \frac{1 - 7}{4 - (-7)}, which is equal to \displaystyle -\frac{6}{11}.

On a Cartesian Plane, the point-slope form of a line that has a slope of m and includes the point (x_0,\, y_0) can be written as:

y - y_0 = m\, (x - x_0).

(Note the minus signs in this form.)

For the line in this question, m = \displaystyle -\frac{6}{11}. There are two equivalent expressions for its point-slope form:

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  • Using the second point, y - 1 = \displaystyle -\frac{6}{11}\, (x - 4).
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