9514 1404 393
Answer:
1 marble
Step-by-step explanation:
The volume of steel is ...
V = LWH
V = (30 cm)(20 cm)(10 cm) = 6000 cm³
The volume of a marble is ...
V = (4/3)πr³ = (4/3)π(11.273 cm)³ = 6000 cm³
The block of steel will make 1 marble.
Answer:
Step-by-step explanation:
8x + 6y = 48.....reduces to 4x + 3y = 24
2x - 3y = -6
4x + 3y = 24
-------------------add
6x = 18
x = 18/6
x = 3
2x - 3y = -6
2(3) - 3y = -6
6 - 3y = -6
-3y = -6 - 6
-3y = -12
y = -12/-3
y = 4
solution is : (3,4)
the ordered pair (3,4) lies in quadrant I
the x coordinate of the solution is 3
the y coordinate of the solution is 4
Let us assume the number of student's in Zoe's class = x
Then
Number of students that have pets = 4x/5
Number of students that have rodents as pets = (1/8) * (4x/5)
= x/10
Number of students in Zoe's class
that have pets that are not rodents = (4x/5) - (x/10)
= (8x - x)/10
= 7x/10
I hope that the procedure is clear enough for you to understand and this is the answer that you were looking for.
Answer:
-14 + x\4 + x
Step-by-step explanation:
Start by plugging the g(x) function into the f(x) for every "x" you see, then take THAT answer and plug into the h(x) function for that "x" you see. You will arrive at the above answer.
Answer:
D. It has a single solution: x=-3, y= 26.
Step-by-step explanation:
3x + y=17
Subtract 3x so it is in y=mx+b form. So now it is y= -3x +17
Now plug in
x + 2 (-3x+17) = 49
x + -6x + 34 = 49 (distribute)
-5x = 15 (combine the x terms and subtract 34 on both sides)
x = -3 (divide -5 on both sides to get x alone)
now plug in x into any other equation to get y
x + 2y = 49
-3 + 2y = 49
2y = 52 (add 3 on both sides)
y = 17 (divide 2 on both sides to get y alone)
(-3, 26)
