Answer:
Pugs are natural cuddlers.
Pugs tend to be smart, observant, and quick learners. ...
Pugs are relatively low-maintenance.
With pugs, a little exercise goes a long way.
Pugs get along well with other animals
Step-by-step explanation:
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Answer:
x = 4
Step-by-step explanation:
subtract 2 from both sides. then -4x is equal to -16. divide by -4 which gives you 4. Hope this helped!
Answer:
quotion is 104 and remainder is 6
Answer:
-6 and 7
Step-by-step explanation:
It is useful to look at the factor pairs of -42.
-42 = -1(42) = -2(21) = -3(14) = -6(7)
Sums of these factor pairs are 41, 19, 11, 1.
You want the last pair of factors: -6 and 7.
<span>let x = the original no. of students
then
(x+10) = the actual no. that went on the trip
:
= the original cost per student
and
= the actual cost
:
Original cost - actual cost = $12.50
- = 12.50
multiply equation by x(x+10)
x(x+10)* - x(x+10)* = 12.50x(x+10)
Cancel the denominators
1500(x+10) - 1500x = 12.5x(x+10)
1500x + 15000 - 1500x = 12.5x^2 + 125x
Combine on the right to form a quadratic equation
0 = 12.5x^2 + 125x - 15000
Simplify, divide equation by 12.5
x^2 + 10x - 1200 = 0
You can use the quadratic formula; a=1; b=10; c=-1200, but this will factor to
(x + 40(x - 30) = 0
The positive solution is what we want here
x = 30 students in the original group
Check this by finding the cost per student for each scenario
1500/30 = $50.00; original cost
1500/40 = $37.50; actual cost
---------------------
saving: $12.50</span>