All categories

3 years ago

SOLVE THE EQUATION 1/2x + 1/4x =16

Mathematics

2 answers:

White raven [17]3 years ago

5 0

1/2x + 1/4x = 16

3/4x = 16

x = 16 / 3/4 = 21 1/3

gregori [183]3 years ago

5 0

Answer:

The value of the equation for x is $x=\frac{64}{3}$ .

Step-by-step explanation:

Consider the provided equation.

$\frac{1}{2}+\frac{1}{4}=16$

We need to solve the equation for x.

Add the like terms as shown:

$\frac{2x+x}{4}=16$

$\frac{3x}{4}=16$

Multiply both the sides by 4/3.

$\frac{3x}{4}\times \frac{4}{3}=16\times \frac{4}{3}$

$x=\frac{64}{3}$

Hence, the value of the equation for x is $x=\frac{64}{3}$ .

You might be interested in

If the measure of angle 3 is 80 degrees and the measurer of angle 6 is (2x)

spin [16.1K]

Answer:
X = 40
Explanation: (2x) = 80
80/2 = 40
X = 40 degrees

5 0

2 years ago

Need the answer to this thank you!

Sholpan [36]

Answer:

n = 4

Step-by-step explanation:

Use the explicit formula of a arthmetic sequence: an = a1 + d(n - 1)

a1 = -70

d = -10

an = -100

Do all of the steps and plug all the numbers with the formula.

So -100 = -70 - 10(n - 1)

-100 = -70 - 10n + 10

-100 = -60 - 10n

-100 + 60 = -40

-40 = -10n

-40/-10n = -10n/10

n = 4

So the final answer is n = 4. Just follow all of the steps and you will understand how I got my answer. Hope it helped!

7 0

3 years ago

A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by V = x2h

creativ13 [48]

It is given in the question that

A rectangular box has a square base with an edge length of x cm and a height of h cm. The volume of the box is given by

$V = x^2h cm^3$

And the edge length of the base is 12 cm, the edge length of the base is decreasing at a rate of 2 cm/min, the height of the box is 6 cm, and the height is increasing at a rate of 1 cm/min.

Here we differentiate V with respect to t, and we use product rule, that is

$V = 2xh(dx/dt)+ x^2(dh/dt)$

Substituting the given values , we will get

$[tex]dV/dt = 2(12)(6)(-2)+ 12^2(1)$ [/tex]

$dV/dt = -288+144 = -144cm^3/min$

So at that moment, the volume is decreasing at the rate of

$144 cm^3/min$

4 0

3 years ago

Read 2 more answers

What's the angle of y and x ??

victus00 [196]

Y is going to be the number 40
x will equal 90

6 0

3 years ago

Help.. or die.. you decide.

Studentka2010 [4]

Answer:

Problem 1:

x = 12 unit ; y = 120 ; z = 60 ; perimeter = 58 unit

Problem 2:

FG = 16 unit ; EG = 2√153 unit ; y = 5 unit

Step-by-step explanation:

Problem 1

Since ABCD is a parallelogram. so,

∠ABC = ∠ADC [Since opposite angles of a parallelogram are equal]

but, ∠ADC = 120° [given]------------(1)

So, ∠ ABC = y° = 120° ----------------(2)

Again, sum of two consecutive angles of a parallelogram is, 180°, so,

∠BCD + ∠ADC = 180°

So, ∠BCD =z° = 180° - 120° = 60° [Putting the value of ∠ADC from (1)]-----(3)

Again, since opposite sides of a parallelogram are equal,

so, BC = AD

⇒ (x + 5) = 17

⇒ x = 12------------------------(4)

So, AB = 12 unit , AD = 17 unit

So, the perimeter of the parallelogram is given by,

2(AB + AD)

= $2 \times (12 + 17)$ unit

= 58 unit --------------------------------------------------------------(5)

Problem 2

Perimeter of parallelogram EFGH = 52 unit

So, 2(EH + GH) = 52 unit

⇒ 2 ( x + x + 6) = 52

⇒ 4x = 40

⇒ x = 10

Now, FG = EH [since opposite sides of a parallelogram are equal]

= (x + 6) unit

= (10 + 6) unit = 16 unit ------------------------------(1)

Again for a parallelogram, the diagonals bisect each other.

so, EG = $2 \times \sqrt{153}$

= 2√153 unit -----------------------------------------(2)

and,

3y - 10 = y

⇒ y = 5 -----------------------------------------------(3)

5 0

3 years ago