Devon has 14 steel balls of equal weight. If he puts 8 of them in one pan of a balance, and the rest along with a weight of 20 grams in the other pan, the pans balance each other. Which equation can be used to find the weight of each steel ball?
Answers
In one pan you have 8 balls: 8n
In the other pan you have the rest of balls (14 - 8 = 6) along with a weight of 20 grams = 6n + 20
So the pans are balanced:
8n = 6n + 20
Now, just solve the equation:
8n - 6n = 20
2n = 20
n = 20/2
n = 10
So, you know that a ball weights 10 grams.
Answer:
Let x represent the weight of one steel ball. One side will have 8 balls or 8x and the other side will have 14-8 or 6 balls (6x) and the 20 gram weight. 8x = 6x + 20.
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The no. of possible solutions is 4 they are (s, e) ⇒ (1, 4), (2, 2), and (4, 1).
What is a linear equation?
A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.
Given, Advance tickets for a school play went on sale.
The price of each student ticket was $4 and everyoneelse paid $5.
's' is the number of student tickets sold, and 'e', is the number of tickets sold to nonstudents and
No more than $80 in tickets were sold.
∴ 4s + 5e ≤ 80.
So, the possible solution are the sum of the multiples of 4 and 5 which results in 80.(only integer values)
4s + 5e ≤ 80.
4s ≤ 80/5e.
Now, when e = 1 , s = 4,
when e = 2 , s = 2,
when e = 4, s = 1.
So, the possible solutions are (1, 4), (2, 2), and (4, 1).
learn more about linear equations here :
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Answer:
Partial and negative tickets cannot be sold, so the minimum number values of e and s are 0. If s = 0, then e = 16, and if e = 0, then s = 20. Therefore, the values of s are whole numbers from 0 to 20 and the values of e are whole numbers between 0 and 16. The greatest number of student tickets sold was 20 and the greatest number of nonstudent tickets sold was 16.
Step-by-step explanation:
Answers
if 0 is a positive integer
sum=0+1+...+59=(0+59)*60/2=59*30=1770
else
sum=1+2+3+...+60=(1+60)*60/2=61*30=1830
end if
Answer D: 1830
In US, 0 is not positive, in Europe yes!!!
= 1/10 pound x 1/10 pound
= 1/100 pound
= 1 penny
=> 1 pound = 1 penny
How is this possible if 1 pound = 100 pennies
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First: x · 3x = 3x²
Outer: x · -4 = -4x
Inner: -2 · 3x = -6x
Last: -2 · -4 = 8
Combine all these terms, and it leaves you with your final answer:
3x² - 10x + 8