All categories

2 years ago

If twice a number, added to 3 is divided by the number plus 5, the result is three halves. Find the number.

Mathematics

2 answers:

Lynna [10]2 years ago

7 0

Answer:2

Step-by-step explanation:

(2x+5)/3 = 3/2

Multiply both sides by 3:

2x + 5 = 9/2

Subtract 5 from both sides:

2x = 9/2 - 5 = 9/2 - 10/2 = 3/2

Divide both sides by :

x = 3/4

larisa86 [58]2 years ago

7 0

Answer:

-1/3

Step-by-step explanation:

A number x is multiplied by 2, then has 3 added to it, then is divided by x+5, and the answer is 3 halves.

Or, as an equation:

$\frac{2x + 3}{x + 5} = \frac{3}{2}$

Let's cross multiply:

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

Expand:

$8x + 12 = 2x + 10$

Now solve:

$6x + 12 = 10$

$6x = -2$

$x = \frac{-1}{3}$

So the answer is -1/3

You might be interested in

Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded values to calculate the n

nevsk [136]

Answer:

15.7. Hope this helps.

5 0

2 years ago

Janice is 7 years older than Tam. Complete the table, and then graph this situation.

qwelly [4]

Answer:

The table in the exercise can be completed with the next results:

x y
2 9
4 11
6 13
8 15

Step-by-step explanation:

As in the exercise Janice is 7 years older than Tam, to obtain the result in the table, you must add 7 to each age in the column x, with this we can make the next formula:

y = x + 7

Remember that x is Tam's age, and y is Janice's age, so, you must replace the x variable in each case to obtain the result to y:

When x is 2:

y = 2 + 7
y = 9

When x is 4:

y = 4 + 7
y = 11

When x is 6:

y = 6 + 7
y = 13

When x is 8:

y = 8 + 7
y = 15

At last, to obtain the graph you can use the formula made: y = x + 7, and you'll obtain a graph like the attached picture, where each time x obtain a unit, the y variable obtain a unit too maintaining the diference of 7.