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3 years ago

What is the solution of the proportion 5/x+4=3/x-2

Mathematics

1 answer:

Butoxors [25]3 years ago

7 0

Solve the rational equation by combining the expressions and isolating the variable X so X= -1/3

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What is Show your work

zloy xaker [14]

Multiplying both sides of this equation by 3, to eliminate the fraction, we get:

9 + m = 6.

Next, we subtract 9 from both sides to isolate m: m = 6 - 9 = -3

Then m = -3.

Check: Subst. -3 for m in this equation:

9 - 3 6

------- = ------ = 2 (as expected). Thus, m = -3 is correct.

3 3

Problem #10:

4n - 9 = -9 Add 9 to both sides: 4n = -9 + 9 = 0.

Divide both sides by 4: n = 0.

Check: Substitute 0 for n: 4(0) - 9 = -9 is true.

5 0

3 years ago

David hikes 21/4 miles in 1/2 an hour. What is his rate in miles per hour? At this rate, how long will it take him to walk 18 mi

harkovskaia [24]

Answer:

A) speed = 10.5 miles per hour

B) Time taken by him = 1.714 hours

C) Distance = 10.5 mph × 7 hours = 73.5 miles

Step-by-step explanation:

Given as :

The distance cover by David = $\frac{21}{4}$ miles = 5.25 miles

The time taken by David = $\frac{1}{2}$ hours = 0.5 hours

Let the speed = x mile per hour

So, Distance = Speed × Time

A)or, Speed = $\frac{Distance}{Time}$

Or, Speed = $\frac{5.25}{0.5}$

∴ speed = 10.5 miles per hour

B) Again The Distance cover by him = 18 miles

SO, with speed 10.5 miles per hour

The Time taken by him = $\frac{Distance}{speed}$ hours

Or, Time taken by him = $\frac{18}{10.5}$ hours

∴ Time taken by him = 1.714 hours

C) Again the Time taken by him = 7 hours

So, Distance cover by him with speed 10.5 mph

Or, Distance = 10.5 mph × 7 hours = 73.5 miles

A) speed = 10.5 miles per hour

B) Time taken by him = 1.714 hours

C) Distance = 10.5 mph × 7 hours = 73.5 miles Answes

8 0

3 years ago

Give three examples of equations where there would be no solution

Ronch [10]

Answer:

1) 2x+1 = 2x-4

2) 6x+2=3(2x+1)

3) -4x -5=-2(2x)+2

Step-by-step explanation:

We need to give three examples of equations where there would be no solution.

First we will define equation with no solution.

If solving an equation you get the result as 3=5 but 3 is not equal to 5, so the equation has no solution.

Examples of equations where there would be no solution

1) 2x+1 = 2x-4

2x-2x=-4-1

0=-1 ( false)

So, the equation has no solution.

2) 6x+2=3(2x+1)

6x+2=6x+1

6x-6x=1-2

0=-2 (false)

So, the equation has no solution.

3) -4x -5=-2(2x)+2

-4x-5=-4x+2

-4x+4x=2+5

0=7 (false)

So, the equation has no solution.

7 0

3 years ago

HELP ME I GOT 67 POINTS THAT I WILL GIVE AND ILL GIVE YOU BRAINIST

IgorLugansk [536]

Answer:

35.325 in³

Step-by-step explanation:

Since the base of a cylinder is a circle,

area of cylinder= πr²h

Radius, r

= diameter ÷2

= 3 ÷2

= 1.5 inches

Volume of can

= 3.14(1.5)²(5)

= 35.325 in³

7 0

2 years ago

Read 2 more answers

In the diagram below, AB is parallel to CD. What is the value of x?

garik1379 [7]

The correct answer is: Option (D) x = 72°

Explanation:

When two lines are crossed by another line, the angles in matching corners are called corresponding angles. When the two lines are parallel, the corresponding angles are equal.

Here in this case, the two lines are "AB" and "CD", and both are parallel and are crossed by the line; therefore, the corresponding angles will be the same.

Since the first corresponding angle is 72°, the second angle x will be 72° as well. The correct answer is: x = 72° Option (D).

8 0

3 years ago

Read 2 more answers