All categories

2 years ago

Solve for x: 3 over 3 x plus 1 over quantity x plus 4 equals 10 over 7x .

1 answer:

6 0

There is one last step after getting x = 3. You must check x = 3 in the original equation to be sure that x = 3 does not cause a zero denominator.

You might be interested in

Which relationships have the same constant of proportionality between y and x as in the equation y=1/3x?

Marina CMI [18]

Y and X is urgent answer

4 0

2 years ago

2.087 greater or less than 2.15

Doss [256]

Less than because 2.15 is a tenth greater.

6 0

2 years ago

Read 2 more answers

The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the

Ulleksa [173]

Answer:

Step-by-step explanation:

The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is L = StartRoot d squared + h squared EndRoot. What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall?

L = √d² + h²

4 0

1 year ago

Read 2 more answers

For her vacation Mrs. Andrews bought $300 worth of traveler's checks in $10 and $20 denominations

Nookie1986 [14]

Option C

The expression 20(22 - x) represents the value of the $20 traveler's checks she has.

Solution:

Given, For her vacation Mrs. Andrews bought $300 worth of traveler's checks in $10 and $20 denominations travelers checks in all,

We have to find how many of each denomination does she have?

Let x represent the number of $10 traveler's checks she has,

Then, $10(x) + $20(number of $20 checks) = 300

10x + 20($20 checks) = 300

x + 2(number of $20 checks) = 30 ⇒ (1)

Now let us see the given options, for value of $20 checks,

It should be in format, that, $20 x number of $20 checks

⇒ 20(total checks - $10 checks) ⇒ 20(total checks – x), as we can see only C is in that format, it is correct and total number of checks = 22.

Then, (1) ⇒ x + 2(22 – x) = 30

⇒ x + 44 – 2x = 30

⇒2x – x = 44 – 30

⇒ x = 14

So, $10 checks count = 14, then, $20 checks count = 22 – 14 = 8.

Hence, there are 14 $10 checks and 8 $20 checks, and option c is correct.

7 0

2 years ago

Ann took a taxi home from the airport. The taxi fare was \$2.10$2.10dollar sign, 2, point, 10 per mile, and she gave the driver

Studentka2010 [4]

Answer:

$2.10x+5=49.10$

Distance = 21 miles.

Step-by-step explanation:

Let x be the distance in miles between the airport and Ann's home.

We have been given that Ann took a taxi home from the airport. The taxi fare was $2.10 per mile. So fare for x miles will be 2.10x.

We are also told that she gave the driver a tip of $5. Ann paid a total of $49.10. This means that fare of x miles and tip given to driver equals $49.10. We can represent this information in an equation as:

$2.10x+5=49.10$

Now let us solve our equation.

$2.10x=49.10-5$

$2.10x=44.10$

$x=\frac{44.10}{2.10}=21$

Therefore, the equation $2.10x+5=49.10$ represents the distance in miles between the airport and Ann's home and distance between Ann's home and airport in 21 miles.

3 0

2 years ago

Read 2 more answers