Answer:
Step-by-step explanation:
- x² = 4² + (√34)²
- x² = 16 + 34
- x² = 50
- x = √50
- x = 5√2
<span>2x+3y=3
</span><span>-3x-2y=8
3y=3-2x
-2y = 8+3x
y = 1 - 2x/3
y = -4 - 3x/2
</span>1 - 2x/3 = -4 - 3x/2
5 = - 3x/2 + 2x/3
5 = -9x/6 + 4x/6
5 = -5x/6
x = 5 * 6/-5
x = -6
No plug it in.
<span>2x+3y=3 ; x = -6
-12 + 3y = 3
3y=3+12
3y=15
y = 5
So </span>x = -6 and y = 5
<span>we know that if 95 is out of 100%, we can write it down as 95 = 100%. w</span><span>e also know that x is 20% of the output value, so we can write it down as x = 20%. </span>
now we have the equations:
95=100%
x=20%
next we will put the equations together
95/x = 100%/20%
95/x=100/20
<span>(95/x)*x=(100/20)*x
</span>we multiply both sides of the equation by x
<span>95=5*x
</span>now we divide both sides of the equation by 5 to get x
<span>95/5=x </span>
<span>19=x </span>
x=19
we now know that <span>20% of 95 = 19
let me know if you have any other questions
:)</span>
Answer: it will take them 48 minutes.
Step-by-step explanation:
John can mow a lawn in 80 minutes. This means that the rate at which he moans the lawn per minute is 1/80
Rocky can mow the same lawn in 120 minutes. This means that the rate at which Rocky can mow the same lawn per minute is 1/120
If they work together, they would work simultaneously and their individual rates are additive. This means that their combined working rate would be
1/80 + 1/120 = 200/9600 = 1/48
Assuming it takes t hours for both of them to clean the room working together, the working rate per hour would be 1/t. Therefore,
1/48 = 1/t
t = 48 minutes