All categories

2 months ago

Which number, when substituted for x, makes the equation 4x+8=164x+8=16 true?

Mathematics

2 answers:

Leona [12.6K]2 months ago

7 0

X = 2

4x + 8 = 16
-8 -8
----------------
4x= 8
-- --
4 4
------------
x=2

Leona [12.6K]2 months ago

3 0

To find the value of x that satisfies the equation given, we need to determine what makes 4x + 8 = 16 correct. We'll solve this equation for x using inverse operations: first, subtract 8 from both sides. Next, divide both sides by 4. Consequently, we find that is the answer to our equation. To confirm our result, we can substitute back into the equation to ensure both sides are equal, thereby verifying that is indeed the solution.

You might be interested in

Find the height of mt.Whitney in the table, Round the height to the nearest thousands feet.

zzz [12365]

<span>15000 feet The height of Mt. Whitney is listed as 14,505 feet. To round this figure to the closest thousand, we examine the hundreds digit, which is 5. According to the rounding rule, "5 or above, round up, 4 or below, round down". Given that the digit is 5, we round up to yield 15000 feet</span>

8 0

1 month ago

1-i need to mix 25% mineral spirits to the varnish i am using what ratio of spirit to varnish am i using? 2-if i use 240 ml of v

Svet_ta [12734]

Answer:

(1) The necessary proportion of spirit to varnish stands at 1:3.

(2) A total of 80 ml of mineral spirit is required.

(3) The ratio of the heights to the widths of the tapestries is 3:2.

Step-by-step explanation:

(1) To achieve a mixture containing 25% mineral spirit, the blend consists of 25% spirit and 75% varnish.

Therefore, $\frac{spirit}{varnish}=\frac{25}{75}$

$=\frac{1}{3}$

Consequently, the proportion of spirit to varnish is 1:3.

(2) Using 240ml of varnish indicates this is 75% of the entire solution, which means the ratio of varnish to the total solution is 3:4.

Let the total solution quantity be $x$ .

Thus, $240:x=3:4$ .

⇒ $\frac{240}{x}=\frac{3}{4}$

⇒ $3x=240*4$

⇒ $x=\frac{240*4}{3}$

⇒ $x=320$

This means the total solution amounts to 320 ml.

Now, calculating Spirit = Total solution - Varnish

⇒Spirit = 320ml-240ml

⇒Spirit = 80ml

Therefore, when using 240 ml of varnish, you will require 80 ml of mineral spirit.

(3) The dimensions of Robison's tapestries are uniform at 1.5m in length and 1m in width. Initially, to obtain whole numbers, we multiply these dimensions by 10.

Thus, the dimensions become 15m long and 10m wide.

Now, the proportion of Height to Width is 15:10

⇒ $\frac{Height}{Width} =\frac{15}{10}$

⇒ $\frac{Height}{Width} =\frac{3}{2}$

Thus, the proportion of the heights of the tapestries to their widths is 3:2.

8 0

2 months ago