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Serggg [28]
2 years ago
8

Find the sum of all integers 30 to 80. (Is there a formula to do this?

Mathematics
2 answers:
Shkiper50 [21]2 years ago
7 0

Answer:

Add all the numbers from 30 to 80 and that is your answer

Step-by-step explanation:


Brums [2.3K]2 years ago
5 0

you consider the arithmetic series with first term 30, common difference 1, and last term 80

the sum of arithmetic sequence is n/2(first term + last term), and there are (80-30)+1 = 51 numbers so n = 51 and so 51/2(30+80) = 2805 which represents the sum 30 + 31 + 31 + ... + 78 + 79 + 80

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If x and y are two nonnegative numbers and the sum of twice the first ( x ) and three times the second ( y ) is 60, find x so th
stepan [7]
2x+3y=60 solve for x...

x=(60-3y)/2

p=xy^3, using x from above:

p=y^3(60-3y)/2

p=(60y^3-3y^4)/2

dp/dy=(180y^2-12y^3)/2

dp/dy=90y^2-6y^2

dp/dy=0 when:

90y^2-6y^3=0

6y^2(15-y)=0, we know y>0 so

y=15, since x=(60-3y)/2

x=7.5

(We solved it this way because otherwise you get quartic equations and cubic derivatives, yuck :P)
4 0
2 years ago
Read 2 more answers
Section 2 Topic 3 Homework
VMariaS [17]

Answer:

65$

Step-by-step explanation:

Section 2 Topic 3 Homework

Question 2 of 4

Miguel spends $100 on books, five of which are hardcover and the remaining four are paperback. The prices at the bookstore are based

on whether the book is hardcover or paperback. It charges $2 less for paperback books than for hardcover books. What is the price for

hardcover books?

4 0
2 years ago
The scientific notation 2 x 10^-2 has what value?
PIT_PIT [208]
The value is 0.02

If it is a negative number, you move the decimal over to the left. :)
8 0
3 years ago
On a snowy day 85% of the students of Wilson high school were present. If 572 of the students were present, how many students we
r-ruslan [8.4K]

Answer:

673

Step-by-step explanation:

okay so uh this is my way and the answer works so like yea teachers dont show like this but ii figured this works

okay so

85/100 = 572/?

so if you divide 85 by 85 its gonna equal 1 and 1 times 100 is gonna be 100

useing the same concept, it should be the same with 572 , but instead of divideing by 572, divide by 85.

basically 572/85

okay now thats gonna give you 6.72941176471 thats vasically 1% of the population.

so multiply 6.72941176471 * 100

so now you have

672.941176471 and you can round this to 673 kids.

and you know its right since 85% of 673 is 572.05 and you can sound to 572

7 0
2 years ago
Read 2 more answers
B. What is the volume of the prism in cm3? Show your reasoning. If you
Anastaziya [24]

Answer:

Step-by-step explanation:

Volume of a rectangular prism is length × height × width

Length=7 1/2

Width= 15 1/2

Height=12

Volume of the prism is therefore:

7 1/2×12×15 1/2= 1395cm3

No of cubes with edge length 1/2 to fit into the prism will be:

Volume of cube is L*W*H

1/2*1/2*1/2= 1/8cm3

Therefore the no of cubes to fit into the Prism will be:

1395/(1/8)= 11160 cubes.

If one was stuck,the number of 1/2 edge length cube to fit into 1cm will be:

1/(1/8)= 8 cubes

8 0
2 years ago
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