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motikmotik
2 years ago
6

Find the surface area of the prism.

Mathematics
1 answer:
Vanyuwa [196]2 years ago
4 0

Answer:

400cm²

Step-by-step explanation:

Total surface area of a prism includes the area of the top and bottom triangle sides of the prism, plus the area of all 3 rectangular sides.

Base & Bottom triangle area: 2 x [(8 x 15)/2] = 120cm²

Side triangle area: 17 x 7 + 8 x 7 + 15 x 7 = 280cm²

Total surface area = 280 + 120 = 400cm²

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A test has 50 questions. each right answer is worth 2 points; each wrong answer deducts 0.5 points; blank answers are not counte
mestny [16]

ANSWER: There are 2 blank answers

 

EXPLANATION

 

Let

The number of right answers be ‘r’

The number of wrong answers be ‘w’

The number of blank answers be ‘b’

 

r + w + b = 50

This means r + w ≤ 50

 

Then we know,

Right answers = 2 marks

Wrong answers = -0.5 mark

Blank Answers = 0 marks

 

2r – 0.5w = 88.5

2r = 88.5 + 0.5w                               … (Equation I)                   

 

Since the score as .5, we know that there is at least one wrong answer, and the number of wrong answers is an odd number.

 

Since the score is 88.5, and each right answer gives 2 marks

There are at more than 44 (i.e. 88/2) right answers

 

Since r + w ≤ 50, and possible values of w are odd numbers

If r = 45, Possible values of w are 1, 3, and 5

If r = 46, Possible values of w are 1, 3

If r = 47, Possible values of w are 1, 3

If r = 48, The only possible value of w is 1

If r = 49,The only possible value of w is 1

 

 

Since 2r = 88.5 + 0.5w  (Equation I)

We test for possible values:

 

If r = 45

2r = 88.5 + 0.5w  

2(45) = 88.5 + 0.5w  

90 = 88.5 + 0.5w

0.5w = 90 – 88.5

0.5w = 1.5

w = 3

 

So,

If there are 45 right answers

There are 3 wrong answers

r + w + b = 50

45 + 3 + b = 50

48 + b = 50

b = 50 – 48

b = 2

Then, there are 2 blank answers.

 

If r = 46

2r = 88.5 + 0.5w

2(46) = 88.5 + 0.5w

92 = 88.5 + 0.5w

0.5w = 92 – 88.5

0.5w = 3.5

w = 7

 

So,

If there are 46 right answers

There are 7 wrong answers

We know that r + w ≤ 50

46 + 7 = 53

So 46 and higher numbers are not possible solutions.

 

The only possible solution is:

There are 45 right answers

There are 3 wrong answers

<span>There are 2 blank answers</span>

6 0
3 years ago
write an inequality for the problem and determine the constraints on the variables. during ski season, the owner of a ski shop h
marin [14]

Answer:

customers≥50*temp

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
How do I solve 8x+3(x+5)-5(x-4)
adell [148]

Answer:

6x + 35

Step-by-step explanation:

First Distribute

8x + 3x + 15 -5x +20

Then collect like terms

6x + 35

to solve you would need the value of x to plug it!

7 0
3 years ago
S=<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Bn%7D%7B2%7D%20" id="TexFormula1" title=" \frac{n}{2} " alt=" \frac{n}{2} "
dmitriy555 [2]

\bf S=\cfrac{n}{2}(a+I)\implies S=\cfrac{n(a+I)}{2}\implies 2S=n(a+I)\implies \stackrel{\textit{distributing}}{2S=na+nI} \\\\\\ 2S-nI=na\implies \cfrac{2S-nI}{n}=a

8 0
3 years ago
HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
chubhunter [2.5K]

Answer:

d is the correct answer

Step-by-step explanation:

6 0
3 years ago
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