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3 years ago

Is b = 6 a solution to the inequality b – 3 > 5?

Mathematics

1 answer:

const2013 [10]3 years ago

6 0

Answer:Hlello, my name is woods245.

So you have the problem b - 3>5 and is says that b=6.

So know the problem looks like this. 6 - 3>5.

Step-by-step explanation:

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One less then five times a number is fewer then twenty four

NISA [10]

5n - 1 < 24 is the inequality in question. Add 1 to both sides, obtaining:

5n < 25. Divide both sides by 5, obtaining n < 5 (answer)

3 0

3 years ago

Which of the following equations will yield the volume of a triangular prism?

Flura [38]

Answer:

V = Bh

Step-by-step explanation:

The equations will yield the volume of a triangular prism is V = Bh.

Where,

V = Volume

B = Base

h = Height

Here are an example :

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Kavinsky

5 0

2 years ago

A prism is completely filled with 1120 cubes that have edge lengths of 1/2 in. What is the volume of the prism?

DedPeter [7]

Answer:

Volume of the prism = 140 cubic inches.

Step-by-step explanation:

The edge length of the cube is 1/2 inches.

The volume of the cube is given by

$\text{Volume}=(\text{edge})^3\\\\V=(1/2)^3\\\\V=0.125$

Now, it has been given that there are 1120 cube is completely filled in the prism. Hence, we have to the multiply the volume by 1120.

Volume of the prism = 1120 × 0.125

Volume of the prism = 140 cubic inches.

6 0

3 years ago

Read 2 more answers

kondor19780726 [428]

Answer:

23 degrees

Step-by-step explanation:

Find the diagram attached

The sum of angle on the straight line is 180°

103+3x+15+x+10 = 180

128+4x =180

4x = 180-128

4x = 52

x = 52/4

x = 13

The measure of the angle of the intersection between Derby Drive and Rosemont is x+10

= 13+10

= 23 degrees

Hence the measure of the angle is 23 degrees

5 0

3 years ago

Write the equation for a parabola with a focus at (-8, -1) and a directrix at y = − 4.

Sidana [21]

Answer:

y = 1/6 x^2 + 8/3 x + 49/6

Step-by-step explanation:

This is a parabola which opens upwards.

The distance of a point (x, y) from the focus is

√[(x - -8)^2 + (y - -1)^2] and

the distance of the point from the line y = -4

= y - -4

These distances are equal for a parabola so:

√[(x - -8)^2 + (y - -1)^2] = y + 4

Squaring both sides:

(x + 8)^2 + (y + 1)^2 = (y + 4)^2

x^2 + 16x + 64 + y^2 + 2y + 1 = y^2 + 8y + 16

x^2 + 16x + 64 + 1 - 16 = 8y - 2y

6y = x^2 + 16x + 49

y = 1/6 x^2 + 8/3 x + 49/6 is the equation of the parabola.

4 0

3 years ago