Answer:
7x +2y =24 --------- (i)
8x +2y= 30 ---------(ii)
Subtracting eqn. (i) & (ii)
7x +2y =24
8x +2y= 30
- - -
___________
-x = - 6
Putting the value of x in eqn. (i)
7*6 +2y =24
42 +2y =24
2y =-18
y = - 9
Hence, x=6 and y= - 9
Hope it helps!!
C.tons
544000 ounces converts to 17 tons.
<span>y-2x=-6 and 5x-y=9
step 1: isolate y in the first equation
y = 2x - 6
step 2: substitute the y value on the 2th equation:
5x-(2x-6)=9
step 3: solve the present equation:
5x - 2x + 6 = 9
3x = 9-6
3x = 3
x = 1
step 4: get the y value by replacing the value of x in </span>y = 2x - 6:
<span>
y = 2*1 - 6
y = 2 - 6
y = -4
S={1, -4}
</span>
Answer:
(√2 - √6) / 4
C. square root of two minus square root of six divided by four.
Step-by-step explanation:
sine of negative eleven pi divided by twelve.
We have :
sin(-11π/12)
sin((4 - 15)π / 12) = sin(4π/12 - 15π/12)
sin(4π/12 - 15π/12) = sin(π/3 - 5π/4)
Recall:
Angle difference formula:
sin(A - B) = sinAcosB - sinBcosA
Hence,
sin(π/3 - 5π/4) = sin(π/3) cos(5π/4) − sin(5π/4) cos(π/3)
From trigonometry:
sinπ/3 = √3/2
cos5π/4 = -√2/2
sin5π/4 = -√2/2
cos π/3 = 1/2
(√3/2) (-√2/2) − (-√2/2) (1/2)
-√6/4 - -√2/4
-√6/4 + √2/4
√2/4 - √6/4
(√2 - √6) / 4
Answer:
Hamish and Harry work as plumbers. Harry earns a dollar an hour more than 5/4 the amount hamish earns per hour. harry earns per hour is 2$ less than 7/5 the amount hamish earns per hour. how much do each of them make an hour
Step-by-step explanation:
Let
x is the amount Harry earns
y is the amount Hamish earns
x=(5/4)y+1 ⇒ (x-1)*4/5 = y-------- equation 1
x=(7/5)y-2⇒ (x+2)*5/7 = y-------- equation 2
equals 1 and 2
(x-1)*4/5 = (x+2)*5/7
(4x-4)/5 = (5x+10)/7
(4x-4)*7 = (5x+10)*5
28x-28 = 25x+50
28x-25x = 50+28
3x = 78
x = 26
substitute x = 26 for y=(x-1)*4/5
y = (x-1)*4/5
y = (26-1)*4/5
y = 20
the answer is
<h3>Harry earns $26 an hour</h3><h3>Hamish earns $20 an hour</h3>