Answer:
x = -7 1/2
y = - 5/2
z = 11
Step-by-step explanation:
x— 3y+z= 6 (1)
2x — бу – 2 = -2 (2) <=> 2x - 6y = -2 + 2 = 0 <=> (2x - 6y)/2 = 0 <=> x - 3y = 0 (4)
—x+y+ 2 = 7 (3) <=> -x + y = 7 - 2 <=> x - y = -5 (5)
Subtract (5) from (4), we have:
(x - 3y) - (x - y ) = 0 - (-5)
<=> x - 3y - x + y = 5
<=> -2y = 5
<=> y = - 5/2
Replace y with (4), we have x = 3 × (-5/2) = -15/2 (or -7 1/2)
Replace x with -15/2 and y with -5/2 in (1), we have z = 6 - (-15/2 - (-5/2)) = 6 + (15/2 - 5/2) = 6 + 5 = 11
Answer:
Step-by-step explanation:
Time varies inversely with speed if the distance is constant. This means that if speed increases, the time it will take to cover the same distance will reduce
t = k/s
Where t = time
k = constant of inverse proportionality
s = speed
It takes James 4 hours to get to his destination when he travels at 65 miles per hour
4 = k/65
k = 65×4 = 260
t = 260/s
If he drove 15 miles/ hour faster, the new speed is 65 + 15 = 80miles/hour.
The time it will take him is
t = 260/s
t = 260/80 = 3.25 hours
The amount of time he would save is
4 hours - 3.25 hours = 0.75 hours
Converting 0.75 hours to minutes, we multiply by 60
Amount if time saved in minutes = 0.75×60 = 45 minutes
210 * 60% = 126
126 + 210 = 336
So, $336 would be your answer.
Answer: 125.44
Step-by-step explanation:
(.56) x 224
First you need to find the area of the lawn. To find the area of a square, you multiply two sides together. You have two sides given, which is super helpful.
I put in my calculator, (40+4/5)x(50+7/8) and this gave me the answer of 2075.7.
You need to then divide that number by 500, and divide it by 300, and then round up, cause if you round down you’re not gonna have enough seed.
2075.7/500 = 4.1514, but then this needs to be rounded up or he’ll be 0.1514 short. So he needs 5 bags for the highest setting.
2075.7/300 = 6.919, so for the lowest setting, he needs 7 bags of seed.
This should be correct.
Hope this helps :)
