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spin [16.1K]
3 years ago
7

Find the surface area of the prism

Mathematics
1 answer:
Bess [88]3 years ago
3 0

Answer:

it would be 124mm

Step-by-step explanation:

you multiply the base x height

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Members of a college chemistry department agree to contribute equal amounts of money to make up a scholarship fund of $280. Then
Zarrin [17]

Answer:

7 members

Step-by-step explanation:

Lets say that the department has n members. If each member contributes with an equal amount x and make a total of $280, we know that:

n*x = 280

Where each one colaborated with:

n*x/n = 280/n

Or what is the same that: (as the n on the left eliminate themselves)

x = 280/n (*)

Now the department hires 3 more members, so we now have n+3 members. And we know that the pass from contributing x to contribute $30 less, it is, x-30 (I omit the $ symbol for simplicity). So, know we have:

x-30 = 280/(n+3)

We can replace x here by the formulation of x we did in the (*) equation:

( 280/n) - 30 = 280/(n+3)

using common denominator:

( 280/n) - 30 n/n = 280/(n+3)

( 280 - 30 n)/n = 280/(n+3)

Cross multiplying the denominators:

( 280 - 30 n)*(n+3) = 280*(n)

280n - 30n^2 + 840 - 90n = 280n

Subtracting 280 n in both sides:

30n^2 + 840 - 90n = 0

Dividing both sides by 30:

-n^2 - 3n + 28 = 0

Factorizing this term (you can notice the factor immediately or solving with baskara resolution, I omit the baskara for simplicity):

-(n + 7)(n - 4) =0

So, n is equal to 4 and -7. As we are dealing with people we can not have -7 people, so we keep only n=4.

So, previous the new hiring there were 4 members, now there are 7.

The used to collaborate with 280/4 = $70, now the collaborate with 280/7=$40, and we see the collaboration decreased in $30.

7 0
3 years ago
ariana takes a handful of cookies and divides them evenly between her 3 kids. then she grabs one more cookie for each kid. if ea
Virty [35]

Answer:

9 cookies in her original handful

Step-by-step explanation:

3 times 4 equals 12

12-3=9

4 0
3 years ago
Two times the sum of a number and 8 is 20 what is the number
Andre45 [30]

Answer:

n=2

2(n+8)=20

2n+16=20

-16  -16

<u>2n=4</u>

2    2

n= 2

There u go love

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
An account is opened with $1250 at a bank that pays 4.75% interest yearly, write a function A(t) that tells how much money is in
svetlana [45]

Answer:

W

Step-by-step explanation:

7 0
2 years ago
If x varies directly as d and d varies directly as e and c=4 when e=12, find c where e=3
Nata [24]
 c = 1 is the answer when e = 3
3 0
3 years ago
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