Answer:
(4,-3)
Step-by-step explanation:
Easiest way to do this without any advanced methods is to use the answer choices to your advantage.
For a.) we have (1,1) meaning x = 1 and y = 1 if we get a 7 for the first equation and a -2 for the second equation then that is the correct answer.
Let x=1, y =1:
4(1)+3(1)=4+3=7 Correct so far.
1+2(1)=1+2=3 Incorrect since we should have got a -2 if this was the solution
Let (0,-1) x = 0, y = -1:
4(0) + 3(-1) = 0 -3 = - 3 Incorrect so we can stop there next answer choice.
Let (4,-3) x = 4 y = -3:
4(4)+3(-3)=16-9=7 Correct so far.
4+2(-3)=4-6=-2 Both are correct!
Therefore the solution (where the lines intersect) is (4,-3).
Answer:
It's dividing by 3 everytime, so 1/3
Step-by-step explanation:
Answer:
a. 3/5 liters per hour
b .06 hours
Step-by-step explanation:
Change 40 minutes to a fraction of an hour
40 minutes/ 60 minutes = 2/3 hour
It takes 1 2/3 hours to fill the container
Changing to an improper fraction
(3*1+2)/3 = 5/3 hours
We want liters per hour
1 liter per 5/3 hours
1 ÷ 5/3
Copy dot flip
1 * 3/5 = 3/5 liters per hour
Change 100 ml to liters
We know 1000 ml = 1 lt
100 ml * 1 lt/1000 ml = .1 lt
So 100 ml = .1 lts
.1 lt * 3/5 lt per hour
Changing the fraction to a decimal
.1 lt * .6 lt per hour
.06 hours
Answer:
$2,410.69
Step-by-step explanation:
$1,950 x 1.15 = $2,242.50 after 15% markup
$2,242.50 x 1.075 = $2,410.68 after the 7.5% sales tax.
or you can do:
$1,950 x 0.15 = $292.5 markup
$1,950 + $292.5 = $2,242.50
$2,242.50 x 0.075 = $168.19 for sales tax
$2,242.50 + $168.19 = $2,410.69 total
2x^2-7=4
subtract 4 from both sdies
2x^2-11=0
therefor
2x^2=11
divide by 2
x^2=5.5
square root both sdies
x=-2.345 or 2.345
