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ryzh [129]
3 years ago
14

PLEASE HELP ASAP

Mathematics
1 answer:
leva [86]3 years ago
7 0

Answer:

1. 68/89

2. 46/267

Step-by-step explanation:

1. The total number of people in drama or athletics can be found by adding up all categories where a person fits at least one of the criteria:

51+11+12+15+108+7=204

Now we need to add up the total number of people in all categories:

51+11+12+15+108+7+63=267

Finally, we divide the total number of people in either drama or athletics by the total number of people in all categories:

204/267 = 68/89

2. The total number of people in athletics and drama can be found by adding up all categories where a person fits both criteria:

15+12=27

The total number of people in music and athletics can be found by adding up all categories where a person fits both criteria:

7+12=19

Now, we add both of these numbers together and put it all over the total number of people:

27+19=46

46/267

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. A building in the shape of a rectangular prism needs to be painted. Some facts about the building are shown below. The buildin
Softa [21]

Answer:

(2)(120)(80) + (2)(120)(50) - (4)(60)(5²)

Step-by-step explanation:

The lateral faces of the building are the 4 sides of the building consisting:

2 rectangles of 120 ft by 80 ft

Area of the two rectangular faces = (2)(120)(80)

And

2 rectangles of 120 ft by 50 ft

Area of the two rectangular faces = (2)(120)(50)

✔️Total lateral surface area of the building = (2)(120)(80) + (2)(120)(50)

Note: we are asked to find the expression that represents the total surface area that needs to be painted given that there are 60 windows on each lateral face of the building of the shape of a square with side lengths of 5 ft.

Therefore, the total lateral surface area of the building that will be painted = total lateral surface of the building - total area covered by the 60 windows on each face of the building

Surface area covered by 60 windows in the 4 lateral face of the building = (4)(60)(5²)

✅total lateral surface area of the building that will be painted = (2)(120)(80) + (2)(120)(50) - (4)(60)(5²)

6 0
2 years ago
Which statement best reflects the solution(s) of the equation?
Inessa [10]

x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Step-by-step explanation:

We need to solve the equation \frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1} and find values of x.

Solving:

Find the LCM of denominators x-1,x and x-1. The LCM is x(x-1)

Multiply the entire equation with x(x-1)

\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}\\\frac{1}{x-1}*x(x-1)+\frac{2}{x}*x(x-1)=\frac{x}{x-1}*x(x-1)\\Cancelling\,\,out\,\,the\,\,same\,\,terms:\\x+2(x-1)=x^2\\x+2x-2=x^2\\3x-2=x^2\\x^2-3x+2=0

Now, factoring the term:

x^2-2x-x+2=0\\x(x-2)-1(x-2)=0\\(x-1)(x-2)=0\\x-1=0\,\,and\,\, x-2=0\\x=1\,\,and\,\, x=2

The values of x are x=1 and x=2

Checking for extraneous roots:

Extraneous roots: The root that is the solution of the equation but when we put it in the equation the answer turns out not to be right.

If we put x=1 in the equation, \frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}  the denominator becomes zero i.e

\frac{1}{1-1}+\frac{2}{1}=\frac{1}{1-1}\\\frac{1}{0}+2=\frac{1}{0}

which is not correct as in fraction anything divided by zero is undefined. So, x=1 is an extraneous solution.

If we put x=2  in the equation,

\frac{1}{x-1}+\frac{2}{x}=\frac{x}{x-1}

\frac{1}{2-1}+\frac{2}{2}=\frac{2}{2-1}\\\frac{1}{1}+1=\frac{2}{1}\\1+1=2\\2=2

So, x=2 is only solution while x=1 is extraneous solution

Option C is correct.

Keywords: Solving Equations and checking extraneous solution

Learn more about Solving Equations and checking extraneous solution at:

  • brainly.com/question/1626495
  • brainly.com/question/2959656
  • brainly.com/question/2456302

#learnwithBrainly

5 0
3 years ago
Approximately what percentage of iq scores falls between 70 and 130?
ohaa [14]
About 95% of scores fall in this range
5 0
3 years ago
I will mark you brainliest. Plzz help I think its C but then I also think its A
luda_lava [24]

Answer:

E

Step-by-step explanation:

X can be anything so E

5 0
3 years ago
Read 2 more answers
V1-v2\t solve formula for v1
vitfil [10]

Answer:

Uwm am I famous but I'm doin dis for free points sowwy

8 0
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