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3 years ago

Seven less than three times a number is equal to fourteen more than six times the number.

2 answers:

7 0

C.

First off it says 3 times a number, so it must be 3n, so it is not a. Then it says 7 less, so -7, so it is not b. That is equal to 6 times, 6n, and 14 more, +14.
So,
3n-7=6n+14

alexandr402 [8]3 years ago

6 0

Answer:

Step-by-step explanation:

7 is less than 3 times the number so -7 + 3n and 14 is more than 6 times the number so 14+6n so the answer is a.

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Which line is perpendicular to y=7x-3 if the perpendicular line passes through the point (7, 7)? a) y=-7x-1 b) y=-7x+8 c) y=-1/7

Norma-Jean [14]

Perpendicular lines have an opposite reciprocal slope, therefore, the slope of the perpendicular line is:

-1/7

So far, y = -1/7x + b. Now we need to plug in (7, 7) into x and y for our equation.

7 = -1/7(7) + b

Simplify the right side

7 = -1 + b

Add 1 to both sides

8 = b

The equation of the perpendicular line is:

y = -1/7x + 8

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3 years ago

Calculate the area of each shape below. Figures are not drawn to scale.

STatiana [176]

Answer:

The area of the triangle is 168 meters

Step-by-step explanation:

Formula to find the area of a triangle:

Area = 1/2 Base x Height

So, first you need to identify the base and the height. The base is 16m + 8m, and the height is 14m. All you have to do is plug in the numbers:

Area = 1/2 (16 + 8) x 14

Then, you solve:

Area = 1/2 (16 + 8) x 14

Area = 1/2 24 x 14

Area = 1/2 336

Area = 168 meters

So, the area of the triangle is 168 meters

6 0

3 years ago

Which expression is equivalent to (82)−4?

horsena [70]

$82^{-4}= \cfrac{1}{82^4}$

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4 years ago

The diameter of a cylindrical construction pipe is 4ft . If the pipe is 24ft long, what is its volume

Allushta [10]

If you need the answer using pi it’s also there

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3 years ago

From the top of a lighthouse 200 feet high, the angle of depression of a boat is 22°. Find the distance from the boat to the foo

Soloha48 [4]

Answer:

495 feet

Step-by-step explanation:

tan22° = 200/d

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Then, d = 495.0173707 => 495 feet to the nearest foot

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3 years ago

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