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Hunter-Best [27]
3 years ago
10

If the perimeter of an isosceles triangle with integral sides is 2017, how many different lengths are possible for the legs

Mathematics
1 answer:
Triss [41]3 years ago
7 0
Because the perimeter is 2017, the side lengths must add to 2017;
a+b+c=2017
An isosceles triangle has two sides of the same length, so b=a. These two sides of the same length are the "legs".
a+a+c=2017
2a+c=2017
Integral means integer (assuming this is not a calculus problem). So, the smallest possible length for side c is 1.
2a+1=2017
2a=2016
a=1008
The legs can be up to 1008 units long apiece. Because the legs must be integer values, 1008 different lengths are possible for the legs.
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Suppose that 4 freshman, 5 sophomore, and 4 juniors have been nominated to receive a scholarship of $500, $250, and $100. How ma
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Answer:

80 distributions of the three scholarship are possible.

Step-by-step explanation:

Given that 4 freshman, 5 sophomore, and 4 juniors have been nominated to receive a scholarship of $ 500, $ 250, and $ 100, to determine how many distributions of the three scholarship are possible if one scholarship is to be awarded to someone from each class you must perform the following calculation:

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2 years ago
What is the answer of 9.34-3.029=
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In case the user wants to see workings. These problems can easily be solved on a calculator, but can we work them out in our heads? ;)

9.34-3.029

=9.340-3.029

=9.340-3.000-0.029

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3 years ago
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3 years ago
Two students have different ways to calculate (0.25)⋅(0.044) as a decimal. Show, in detail, how each student might compute this
Ulleksa [173]

Answer:

(0.25)⋅(0.044) = 0.011

Step-by-step explanation:

Two students have different ways to calculate (0.25)⋅(0.044) as a decimal.

Show, in detail, how each student might compute this product. (upload your work when complete)

We are given:

(0.25)⋅(0.044)

= 0.25 × 0.044

a) For Elena

Elena says, "I find 25⋅ 4.4 and then move the decimal point."

What Elena did was she multiplied both

number by 100

= (0.25 × 100) × (0.044 × 100)

We add up the decimal points from 0.25 and 0.044 = 5

Hence, the answer we get in step 1 is divided by 100000 in other it move the brackets

(0.25 × 100) × (0.044 × 100)/100000

= 0.011

b) For Diego

Diego says, "0.25 is the same as 1/4, so I found 1/4 of 0.044."

Diego converted 0.25 to fraction

= 0.25 × 100/100

= 25/100 = 1/4

Since, (0.25)⋅(0.044)

= 0.25 × 0.044

Then:

1/4 of 0.044

= 1/4 × 0.044

= 0.011

7 0
3 years ago
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