Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8. Simplify Q + S - T.

-8m + 7n - 3
-8m - 7n - 3
8m + 7n - 3
8m - 7n - 3

Answers

Answer 1

Answer:

If you would like to simplify Q + S - T, you can do this using the following steps:

Q = 7m + 3n,
R = 11 - 2m,
S = n + 5,
T = -m - 3n + 8

Q + S - T = 7m + 3n + n + 5 - (-m - 3n + 8) = 7m + 3n + n + 5 + m + 3n - 8 = 8m + 7n - 3

The correct result would be 8m + 7n - 3.

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A scoutmaster bought 35m of rope. He used 4/7 of the rope for knot tying. How many meters of rope were used for knot tying?

Answers

In math...
"of" means ×
"is" means =

We need to find 4/7 of 35

4/7 of 35 = ?
4/7 × 35 = ?
4/7 × 35/1 = 140/7 = 20

He used 20 meters of rope.

Find the length of the third side. If necessary, write in simplest radical form.

Answers

Answer:

$√(13)$

Step-by-step explanation:

let the 3rd side, the hypotenuse, be x

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 2² + 3² = 4 + 9 = 13 ( take square root of both sides )

x = $√(13)$

Answer:

√13 or 3.6

Step-by-step explanation:

It is a right triangle and you have the measure of the cathets, we use the Pythagorean theorem

√(3² + 2²) =

√(9 + 4) =

√13

Janet drove 300 miles in 4.5 hours. Write an equation to find the rate at which she was traveling.

Answers

If you would like to know the rate at which she was travelling, you can calculate this using the following steps:

300 miles ... 4.5 hours
x miles = ? ... 1 hour

300 * 1 = 4.5 * x
300 = 4.5 * x
x = 300 / 4.5
x = 200 / 3
x = 66.67 miles per hour

Janet was travelling at the rate 66.67 miles per hour.

Rewrite A=P +Prt in a different format

Answers

Answer:A=P+PRT

Step-by-step explanation:

The 76 term of the arithmetic sequence 8, 14,20,

Answers

Answer:

a76 = 8 + (76-1)*6

= 8 + 75*6

= 8 + 450

= 458

the 76th term of the arithmetic sequence 8, 14, 20 is 458

What is an equation of the line that passes through the points (2,1) and (6,-5)?

Answers

I would go with number 3.

Final answer:

The equation of the line that passes through the points (2,1) and (6,-5) is y = -3/2x + 4. This is calculated using the formula for a line y - y1 = m(x - x1) and the formula for slope.

Explanation:

In order to find the equation of the line passing through the points (2,1) and (6,-5), we can use the formula for a line y - y1 = m(x - x1). Here, m is the slope of the line. We can calculate the slope using the formula (y2 - y1) / (x2 - x1). Thus, for the points (2,1) and (6,-5), the slope m is (-5 - 1) / (6 - 2) = -6/4 = -3/2. We can substitute one pair of points and the slope into the line equation. Let's use (2,1). The equation of this line is then y - 1 = -3/2 * (x - 2). Simplifying, we get the equation of the line to be y = -3/2x + 4.