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3 years ago

Two cars leave at the same time from two cities that are 374 miles apart

Mathematics

1 answer:

Softa [21]3 years ago

6 0

Answer:

They travel for 3.4 hours before they meet.

Step-by-step explanation:

Given that:

Distance between the cities = 374 miles

Speed of Car 1 = 50 mph

Speed of Car 2 = 60 mph

As the cars are moving towards each other,

Combined speed = 50 + 60 = 110 mph

We know that:

Distance = Speed * Time

374 = 110 * Time

Time = $\frac{374}{110}$

Time = 3.4 hours

Hence,

They travel for 3.4 hours before they meet.

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Solve the inequality

Marianna [84]

Answer:

The answer to your question is the letter A) x ≥ 0.5

Step-by-step explanation:

Inequality

2(4x - 3) ≥ -3(3x) + 5x

Process

1.- Expand

8x - 6 ≥ - 9x + 5x

2.- Simplify

8x - 6 ≥ - 4x

3.- Add 6 units in both sides

8x - 6 + 6 ≥ -4x + 6

4.- Simplify

8x ≥ -4x + 6

5.- Add 4x in both sides

8x + 4x ≥ -4x + 6 + 4x

6.- Simplify

12x ≥ 6

7.- Divide by 12 both sides

12x/12 ≥ 6/12

8.- Simplify

x ≥ 1/2 or 0.5

8 0

4 years ago

Read 2 more answers

The volume of a rectangular prism is (x4 + 4x3 + 3x2 + 8x + 4), and the area of its base is (x3 + 3x2 + 8). If the volume of a r

vfiekz [6]

Answer:

$Height = x \frac{x^3+3x^2+4}{x^3+3x^2+8}$

Step-by-step explanation:

$Volume = Base \ Area\ * Height$

$Height = \frac{Volume}{Base \ Area}$

Where $Volume = x^4+4x^3+8x+4$ and $Area = x^3+3x^2+8$

Putting in the formula

$Height = \frac{x^4 + 4x^3 + 3x^2 + 8x + 4}{x^3 + 3x^2 + 8}$

Doing long division, we get

$Height = x + \frac{x^3+3x^2+4}{x^3+3x^2+8}$

$Height = x \frac{x^3+3x^2+4}{x^3+3x^2+8}$

This is the simplifies form and it can't be further simplified.

7 0

3 years ago

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Is anyone know this?

kirill115 [55]

Answer:

Step-by-step explanation:

4 main items

6 side orders

3 drinks

4 x 6 x 3 = 72

6 0

3 years ago

A cone has a volume of 8(3.14) cubic feet and a height of 6 feet. what is the radius of the base?

SSSSS [86.1K]

Volume of a Cone = (1/3)*(pi)*(radius)*(radius)*(height)
we are given:
pi = 3.14
height = 6
Volume = 8(3.14)

plug in
8(3.14) = (1/3)*(3.14)*(radius)^2 *(6)
8 = (1/3)*(6)*(radius)^2 [divided both sides by 3.14]
8 = (2)*(radius)^2 [simplified (1/3)*(6)]
4 = (radius)^2 [divided 2 from both sides]
radius = 2 [square rooted both sides (sqrt(4))=2]

therefore the radius = 2 ft

5 0

3 years ago

(-7) + b = (-11) PLEASE HELP

Alex

B=-4 because the7 turns positive then you add -11+7 which is -4

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3 years ago