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amid [387]
3 years ago
7

Is 2 a solution of the inequality 3y-8>22

Mathematics
1 answer:
Ray Of Light [21]3 years ago
5 0

3y-8 > 22\qquad|\text{add 8 to both sides}\\\\3y > 30\qquad|\text{divide both sides by 3}\\\\y > 10\\\\2 < 10\\\\Answer:\ 2\ is\ not\ a\ solution\ of\ the\ inequality\ 3y-8>22.

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Gene ran 90 meters in 16.3 seconds. alma ran 90 meters in 17.2 seconds. who had the fastest time
maria [59]

Answer:

Gene ran faster

Step-by-step explanation:

The fastest time is the smallest time since they ran the same distance

gene ran 90 meters in 16.3 seconds.

alma ran 90 meters in 17.2 seconds

16.3 < 17.2

Gene ran faster

7 0
1 year ago
A) What is the slope and the y-intercept of the equation?
Zielflug [23.3K]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and b the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = \frac{0-3}{4-0} = \frac{-3}{4} = - \frac{3}{4}

The y- intercept is where the line crosses the y- axis

The line crosses the y- axis at (0, 3 ) ⇒ b = 3

(b)

y = - \frac{3}{4} x + 3 ← equation of line

8 0
3 years ago
a storage room measures 20 feet by 15 feet. the floor is covered by tiles that cost $7.50 per square foot. what will be the cost
Sidana [21]

Answer: $2250

Step-by-step explanation:

<u>Given information</u>

Dimension of the room = 20 feet × 15 feet

Cost of tiles = $7.50 / ft²

<u>Derived formula from the given information</u>

Total cost = Floor area × Cost of tiles

<u>Substitute values into the formula</u>

Total cost = Floor area × Cost of tiles

Total cost = (20 × 15) × (7.5)

<u>Simplify by multiplication</u>

Total cost = 300 × (7.5)

\Large\boxed{Total~cost~=~2250~Dollars}

Hope this helps!! :)

Please let me know if you have any questions

4 0
2 years ago
Explain why a set of points that defines a plane cannot be collinear
USPshnik [31]

Answer:

Three non-collinear points determine a plane.

Step-by-step explanation:

This statement means that if you have three points not on one line, then only one specific plane can go through those points. The plane is determined by the three points because the points show you exactly where the plane is

3 0
3 years ago
Calculate the Area of each of the following Figures:​
kotegsom [21]

Answer:

2.2.1 Area = 12.6 cm²

2.2.2 Area = 12 cm²

Step-by-step explanation:

<u></u>

<u>2.2.1:</u>

The radius of the big circle is half the length of the square = 2.5 cm

The radius of the small circle is half of 3 cm = 1.5 cm

The area of the shaded portion is = Area of big circle - Area of small circle

π × 2.5²-π × 1.5² = 12.6 cm²

<u>2.2.2</u>

To find length BD (the height of the parallelogram) we need to use the Pythagorean theorem:

BD = √(5²-3²) = 4

Area = base x height = 3x4 = 12 cm²

3 0
1 year ago
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