All categories

3 years ago

Explain how you know that the equations 1/4=2x and 1/4/x=2have the same solution

Mathematics

1 answer:

il63 [147K]3 years ago

4 0

the equations 1/4=2x and 1/4/x=2have the same solution

because 1 / 4/ x = 2 can be simplified to

1 / 4 = 2x which is the same with the first equation

Solve for x = 1/8

Then substitute it to the both equation

¼ = 2 ( ¼)

¼ = ¼

2nd equation

1/ 4 /( 1/8) = 2

2 =2

You might be interested in

Find S.P. in the following cases. a) M.P. = Rs 540, discount = 5 %

Ber [7]

Step-by-step explanation:

Given:-

MP = Rs 540. Discount = 5 %

To Find:-

Sell price

Solution:-

SP = MP - Discount.

MP = Marked Price ( Also called List Price) SP = Selling Price.

Discount = (Discount %) of MP

Discount = (5/100) 54p

Discount = 27 Rs

Subtract discount from MP to get SP

SP = MP - Discount

SP = 540 - 27 Rs

SP = 513 Rs

3 0

2 years ago

Read 2 more answers

Viktoriya solved an equation as shown below 5(x-2)-3x=2(x-3)-16 5x-10-3x=2x-6-16 2x-10=2x-22 -10=-22 She says that the equation

Anvisha [2.4K]

For this case we have the following equation:

$5 (x-2) -3x = 2 (x-3) -16$

The steps used by Viktoriya to solve are:

Step 1:

Distributive property:

$5x-10-3x = 2x-6-16$

Step 2:

Combine similar terms:

$2x-10 = 2x-22$

Step 3:

Simplify:

$-10 = -22$

Viktoriya's error is in the conclusion of the problem.

The equation has no solution, because:

Left side ≠ right side

Answer:

Viktoriya's error is: the equation has infinitely many solutions.

3 0

4 years ago

Read 2 more answers

What is the 23rd term of the arithmetic sequence where a1 = 8 and a9 = 48 ?

Nataly_w [17]

$a_1=8;\ a_9=48\\\\a_9-a_1=8d\\\\8d=48-8\\8d=40\ \ \ |divide\ both\ sides\ by\ 8\\d=5\\\\a_{23}=a_1+22d\\\\a_{23}=8+22\cdot5=8+110=118\\\\Answer:\boxed{a_{23}=118}$

7 0

3 years ago

Find all solutions of the equation below. 7^5-3=7^5x-19

Nutka1998 [239]

Answer:

7⁵-3=7⁵x- 19

Step-by-step explanation:

16807 - 3 = 7⁵x - 19

16804 = 7⁵x - 19

16804 = 16807x - 1

adding 19 on both sides

16804 + 19 = 16807x - 19 + 19

16823 = 16807x

x = 16823 / 16807

16823 upon 16807 is the x

3 0

3 years ago

Help, answer one that hasn’t been answered

SVEN [57.7K]

4x + 2x = < y

This is because the opposite sides (which is 4x and 2x) of a triangle add up to the exterior angle (<y).

We have to find X.

As you know:

$3x + 4x + 2x = 180$

because the angles of a triangle add up to 180.

When we add them:

$9x = 180$

$x = \frac{180}{9}$

The 9 is multiplying with the X. We want X only and not 9 with it. So, when we take 9 to the other side, it becomes divide. As a result, the answer to x is:-

$x = 20$