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Luba_88 [7]
1 year ago
10

4. Find the solution to the equation below. please finish this problem

Mathematics
1 answer:
velikii [3]1 year ago
4 0

Answer:

w = 12

Step-by-step explanation:

We are given the equation:

\displaystyle{\dfrac{w-2}{4} = \dfrac{2w+1}{10}}

First, clear out the denominators by multiplying both sides by LCM. In this scenario, our LCM is 40. Thus, multiply both sides by 40:

\displaystyle{\dfrac{w-2}{4} \cdot 40= \dfrac{2w+1}{10} \cdot 40}

Simplify the expressions/equations:

\displaystyle{(w-2)\cdot 10= (2w+1)\cdot 4}\\\\\displaystyle{10w-20= 8w+4}

Isolate w-variable:

\displaystyle{10w-20= 8w+4}\\\\\displaystyle{10w-8w=4+20}\\\\\displaystyle{2w=24}\\\\\displaystyle{w=12}

Hence, the solution is w = 12

If you have any questions regarding my answer or explanation, do not hesitate to ask away in comment!

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The line A bus arrives at the stop every 25 min. and the line B bus arrives every 15 min. Both arrive at the bus stop at 1 pm. A
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You have 12 cups of granola and 8 1/2 cups of peanuts to make trail mix. What is the greatest number of full batches of trail mi
nikitadnepr [17]
Hello! Sorry that I'm late. Okay, so each batch calls for 2 2/3 cups of granola and 1 1/3 cups of peanuts. Let's divide the number of cups available total by the amount per batch. To divide fractions, keep the first fraction the same, change division into multiplication, and flip the other faction over. Let's do it. 12/1 * 3/8 = 36/8 or 4 1/2 in mixed number form. 17/2 * 3/4 = 51/8 or 6 3/8 in simplest form. You can only make 4 full batches of trail mix, because you can only use the full serving of both granola AND peanuts for 4 of them.
8 0
3 years ago
3.) SOLVE FOR X.
gayaneshka [121]

The value of x in the secants intersection is 1 units

The value of NM in the tangent and secant intersection is 51 units

<h3>How to find length when secant and tangent intersect?</h3>

The first question, two secant intersect outside the circle.

Therefore,

(6x + 8x)8x = (9 + 7)7

14x(8x) = 16(7)

112x² = 112

x² = 112 / 112

x = √1

x = 1

The second question, tangent and secant intersect,

Therefore,

(x + 3)² = (x - 3)(16 + x - 3)

(x + 3)² = (x - 3)(x + 13)

(x + 3)(x + 3) = (x - 3)(x + 13)

x² + 3x + 3x + 9 = x² + 13x - 3x - 39

x² + 9x + 9 = x² + 10x - 39

x² - x² + 9x - 10x = -39 - 9

-x = - 48

x = 48

NM = 48 + 3 = 51 units

learn more on secant and tangent here: brainly.com/question/12477905

#SPJ1

6 0
1 year ago
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