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dusya [7]
2 years ago
7

What is value of x? Enter your answer in the box. x =

Mathematics
2 answers:
Ludmilka [50]2 years ago
8 0

Answer:

x = 10

Step-by-step explanation:

\dfrac{x+4}{8}=\dfrac{2x+1}{12}

Cross multiply:

\implies 12(x+4)=8(2x+1)

Expand brackets:

\implies 12x+48=16x+8

Collect and combine terms:

\implies 48-8=16x-12x\\\\\implies 40=4x

Divide both sides by 4:

\implies x=10

bogdanovich [222]2 years ago
6 0

\\ \tt\hookrightarrow \dfrac{x+4}{2x+1}=\dfrac{8}{12}=2/3

\\ \tt\hookrightarrow 3(x+4)=2(2x+1)

\\ \tt\hookrightarrow 3x+12=4x+2

\\ \tt\hookrightarrow x=12-2

\\ \tt\hookrightarrow x=10

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I got the answer as letter C, can someone check me to make sure that is correct? Thank you in advance.
Flura [38]

Answer:

The x's cancel  so definitely is choice C:  1/9

Step-by-step explanation:

We have   root( 1/(x^2) )  *  root ((x^2) / 81)

simplifying this we get as follows:

root( 1/(x^2) )  *  root ((x^2) / 81)

= \sqrt{(1/x^2 )}  * \sqrt{(x^2)/81}

=  ( 1/x )   *  (x/9)

the x's cancel

= 1/9

choice C   1/9

3 0
3 years ago
An adult ticket to a museum costs 3$ more than a children’s ticket. When 200 adult tickets and 100 children tickets are sold, th
antiseptic1488 [7]

The cost of children’s ticket is $ 5

<h3><u>Solution:</u></h3>

Let "c" be the cost of one children ticket

Let "a" be the cost of one adult ticket

Given that adult ticket to a museum costs 3$ more than a children’s ticket

<em>Cost of one adult ticket = 3 + cost of one children ticket</em>

a = 3 + c  ------ eqn 1

<em><u>Given that 200 adult tickets and 100 children tickets are sold, the total revenue is $2100</u></em>

200 adult tickets x cost of one adult ticket + 100 children tickets x cost of one children ticket = 2100

200 \times a + 100 \times c = 2100

200a + 100c = 2100 ------ eqn 2

<em><u>Let us solve eqn 1 and eqn 2 to find values of "a" and "c"</u></em>

Substitute eqn 1 in eqn 2

200(3 + c) + 100c = 2100

600 + 200c + 100c = 2100

600 + 300c = 2100

300c = 1500

<h3>c = 5</h3>

Thus the cost of children’s ticket is $ 5

6 0
3 years ago
Complete the following equation using &lt;, &gt;, or =<br><br> 100% ___ 1 
yanalaym [24]
<span>In the question "Complete the following equation using <, >, or =. 100% ___ 1" The correct answer is 100% = 1. A percentage is a number or ratio expressed as a fraction of 100. To convert a given percentage to its equivalent number, we divide the given percent by 100. Therefore, 100% = 100 / 100 = 1.</span>
4 0
3 years ago
Please help, this is due soon!
Vikentia [17]

Answer:

289 meters I believe.

Step-by-step explanation:

6 0
3 years ago
The scores of the students on a standardized test are normally distributed with a mean of 500 and a standard deviation of 110 wh
Maru [420]
The answer is C.) 59 percent
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3 years ago
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