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Natasha_Volkova [10]
3 years ago
6

60 boys at a summer camp were asked to complete a survey about their favorite outdoor activity. 18 boys chose biking and 29 boys

chose fishing. The remaining boys did not complete the survey. Which expression gives the percent of survey participants who chose fishing?
Mathematics
1 answer:
Zarrin [17]3 years ago
3 0

Answer:

 Expression for percent of survey participants who chose fishing = \frac{29}{47} *100

Explanation:

 Total number of boys = 60

 Number of boys who took part in survey = 18 + 29 =47

 Number of boys who chose fishing = 29.

 Percentage of an outcome = (Number of favorable outcome/ Total number of outcome) x 100

 Percentage of boys who chose fishing = (29/47)x100

 Expression for percent of survey participants who chose fishing = \frac{29}{47} *100



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Enter the values for the highlighted variables that show how to subtract the rational expressions correctly:
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Write and solve a system of equations: Vanessa and Geneva worked together to buy a pair of tickets ($240 total) to the Green Day
Goshia [24]

Answer:

The systems of equation are \left \{ {{v+g=21} \atop {10v+12g=240}} \right..

Vanessa worked for<u> 6 hrs </u>and Geneva worked for <u>15 hrs</u> to earn exactly $240.

Step-by-step explanation:

Let the number of hours worked by Vanessa be 'v'.

Let the number of hours worked by Geneva be 'g'.

Given:

Total number of hours worked = 21 hours

So we can say that;

Total number of hours worked is equal to sum of number of hours worked by Vanessa and number of hours worked by Geneva.

framing in equation form we get;

v+g=21              ⇒ equation 1

Also given:

per hour earnings of Vanessa = $10

per hour earning of Geneva = $12

Total they need to earn = $240

So we can say that;

Total they need to earn would be equal to sum of  per hour earnings of Vanessa multiplied by number of hours worked by Vanessa and per hour earning of Geneva multiplied by number of hours worked by Geneva.

framing in equation form we get;

10v+12g =240     ⇒ equation 2

Hence The systems of equation are \left \{ {{v+g=21} \atop {10v+12g=240}} \right..

On Solving above equations we get;

First we will multiply equation 1 by 10 we get;

10(v+g)=21\times10

10v+10g =210     ⇒ equation 3

Now Subtracting equation 3 from equation 2 we get;

10v+12g -(10v+10g)=240-210\\\\10v+12g-10v-10g=30\\\\2g =15

Dividing both side by 2 we get;

\frac{2g}{2}=\frac{30}{2}\\\\g =15\ hrs

Now Substituting the value of g in equation 1 we get;

v+g=21\\\\v+15=21\\\\v=21-15 =6\ hrs

Hence Vanessa worked for<u> 6 hrs </u>and Geneva worked for <u>15 hrs</u> to earn exactly $240.

7 0
3 years ago
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