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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

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(38x-8)(2x+38-6)(8x-10)

Svet_ta [14]

Answer:

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Step-by-step explanation:

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3 years ago

A rectangular container has a base that is 12 inches long and 8 inches wide. The container is filled with water to a height of 6

valina [46]

Answer: the length of one edge of the square base of the second container is 6 inches.

Step-by-step explanation:

The formula for determining the volume of a rectangular container is expressed as

Volume = length × width × height

Considering the first container,

Length = 12 inches

Width = 8 inches

Height to which the water is filled is 6 inches.

Therefore, volume of water in the container is

12 × 8 × 6 = 576 inches³

Considering the second container,

Height of water = 16 inches

Let L represent the length of the square base. Then the area of the square base is L²

Volume of water would be 16L²

Since the water in the first container was poured into the second container, then

16L² = 576

L² = 576/16 = 36

L = √36

L = 6 inches

7 0

4 years ago

The policy of the Kauderman's pawnshop is to lend up to 30% of the value of borrower's collateral. Tommy wants to use a pair of

lubasha [3.4K]

Answer:

30/100×$1500 = $450

Step-by-step explanation:

Tommy needs total capital of $1500 and he wants to lend 30% of loan from kaunderman, which is calculated as above.

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3 years ago

The product of (3 − 4i) and____is 25.

LiRa [457]

$(3-4i)(a+bi)=25\qquad\text{use FOIL method}\\\\(3)(a)+(3bi)+(-4i)(a)+(-4i)(bi)=25+0i\\\\3a+3bi-4ai-4bi^2=25+0i\\\\3a+3bi-4ai-4b(-1)=25+0i\\\\3a+3bi-4ai+4b=25+0i\\\\(3a+4b)+(3b-4a)i=25+0i\\.\qquad\qquad\qquad\qquad\Downarrow\\\\3a+4b=25\ and\ 3b-4a=0\\\\3b-4a=0\qquad\text{add 4a to both sides}\\\\3b=4a\qquad\text{divide both sides by 3}\\\\b=\dfrac{4}{3}a\qquad\text{substitute it to the first equation}\\\\3a+4\left(\dfrac{4}{3}a\right)=25\\\\3a+\dfrac{16}{3}a=25\qquad\text{multiply both sides by 3}$

$9a+16a=75\\\\25a=75\qquad\text{divide both sides by 25}\\\\\boxed{a=3}\qquad\text{put the value of a to}\ b=\dfrac{4}{3}a:\\\\b=\dfrac{4}{3}(3)\\\\\boxed{b=4}\\\\Answer:\ \boxed{(3-4i)\underline{(3+4i)}=25}$

6 0

3 years ago

On a certain hot summer day, 738 people used the public swimming pool.The daily prices are 1.50 for children and 2.00 for adults

Artemon [7]

Answer:

A = 340 adult.

C = 398 children.

Step-by-step explanation:

Let the number of children be C

Let the number of adults be A

Translating the word problem into an algebraic equation, we have;

A + C = 738 .......equation 1

1.5C + 2C = 1306 .......equation 2

A = 738 - C .......equation 3

Substituting eqn 3 into eqn 2, we have;

1.5(738 - C) + 2C = 1306

1107 - 1.5C + 2C = 1306

1306 - 1107 = 2C - 1.5C

199 = 0.5C

C = 199/0.5

<em>C = 398 children. </em>

Now, to find the value of A.

From equation 3;

A = 738 - C

A = 738 - 398

<em>A = 340 adult. </em>

7 0

3 years ago