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3 years ago

Solve. 3/2x – 4 = 16

2 answers:

5 0

$\dfrac{3}{2x}-4=16\ \ \ |add\ 4\ to\ both\ sides\\\\\dfrac{3}{2x}=20\\\\\dfrac{3}{2x}=\dfrac{20}{1}\ \ \ |cross\ multiply\\\\20\cdot2x=3\cdot1\\\\40x=3\ \ \ |divide\ both\ sides\ by\ 40\\\\\boxed{x=\frac{3}{40}}$

poizon [28]3 years ago

5 0

Answer: The required solution of the given equation is $x=\dfrac{40}{3}.$

Step-by-step explanation: We are given to solve the following equation :

$\dfrac{3}{2}x-4=16~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

To solve the given equation, we must find the value of the unknown variable x.

The solution of equation (i) is as follows :

$\dfrac{3}{2}x-4=16\\\\\\\Rightarrow \dfrac{3}{2}x=16+4\\\\\\\Rightarrow \dfrac{3}{2}x=20\\\\\Rightarrow 3x=40\\\\\Rightarrow x=\dfrac{40}{3}.$

Thus, the required solution of the given equation is $x=\dfrac{40}{3}.$

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Melanie equally shares 25 meters of paper to create 9 banners

Dvinal [7]

Question: Which situation is represented by $\frac{25}{9}$ ?

Option A: Melanie equally shares 25 meters of paper to create 9 banners

Option B: Quill gives way 9 baseball cards from a pack of 25 cards.

Option C: George invites 25 kids and 9 adults to his birthday party.

Option D: Becca create 9 rows with 25 buttons.

Answer:

Solution:

Option A: Melanie equally shares 25 meters of paper to create 9 banners.

The fraction is $\frac{25}{9}$ .

Option B: Quill gives way 9 baseball cards from a pack of 25 cards.

The fraction is $\frac{9}{25}$

Option C: George invites 25 kids and 9 adults to his birthday party.

Here, 25 + 9.

Option D: Becca create 9 rows with 25 buttons.

Here, 9 × 25.

Hence the answer is Option A: Melanie equally shares 25 meters of paper to create 9 banners.

7 0

3 years ago

There are 100 people in a sport centre.

Arlecino [84]

We need to determinate who doesn't use anything, so first we must know the real number of who are practising: a person can do more things.

For doing this, is better use a three-circles graphic, but we try to do without it.

16 pool + gym + track, and this number is sure

38 gym + pool, but this number includes the people of 1st point. We must know who do only gym + pool: 38 - 16 = 22

31 pool + track, this number also includes people of 1st point, so: only pool + track 31 - 16 = 15

33 gym + track, this number also includes people of 1st point, so: only gym + track 33 - 16 = 17

now:

67 gym, we must know who use only gym: 67 - 16 (gym + pool + track) - 22 (gym + pool) - 17 (gym + track) = 12

62 pool, we must know who use only pool: 62 - 16 (gym + pool + track) - 22 (gym + pool) - 15 (pool + track) = 9

56 track, we must know who use only track: 56 - 16 (gym + pool + track) - 15 (pool + track) - 17 (gym + track) = 8

now we must now who do some facility: let's sum all

16 + 22 + 15 + 17 + 12 + 9 + 8 = 99

99/100 practise something

So only 1/100 doesn't use nothing

The probability is 1%

7 0

3 years ago

Help me PLEASE! it’s due soon (links = report )

chubhunter [2.5K]

Answer:

9 faces

21 edges

14 vertex

also iys called a heptagonal prism

Hope it helps :)

5 0

3 years ago

Which side lengths form a right triangle

aleksandrvk [35]

Answer:

A and C

Step-by-step explanation:

A right triangle consists of two legs and a hypotenuse.
To find hypotenuse, we use The Pythagorean Theorem
The Pythagorean Theorem = ${a}^{2} + {b}^{2} = {c}^{2}$
two legs meet at a 90° angle and the hypotenuse is the longest side

3 - 4 - 5

6 - 8 - 10

7 - 24 - 25

5 - 12 - 13

are some basic right triangle

(about more, look picture)

<em><u>Just use hypotenuse formula :</u></em>

3 x 3 = 9

4 x 3 = 12

5 x 3 = 15

Option C is correct

${5}^{2} + { \sqrt{6} }^{2} = { \sqrt{31} }^{2}$

Option A is correct

${5}^{2} + {5}^{2} = { \sqrt{50} }^{2}$

But B isn't correct

Hope this helps ^-^

4 0

3 years ago

Each square on the grid represents 1 km2.

My name is Ann [436]

Answer:

is there any picture of area ???

5 0

3 years ago