Answer:
x=1
y= -1
z=2
Step-by-step explanation:
x+y+z=2 and x-y-2z=6
if z=2 then
x+y+2=2 and x-y+4=6
and these become
x+y=0 and x-y=2
usign linear cancellation method we get
2x=2
dividing both sides by 2 we get
x=1
then going back to one of the original equations and plugging x=1 and z=2 we get
1+y+2=2
solving for y we get
y= -1
T × 1/4 which equals 7/8
T = 7/8 × 4 which equals 7/2
7/2 is your answer
Answer:
the weight of one bar is 12.75
Step-by-step explanation:
divide the total weight by the total number of bars
Answer:
11/18
Step-by-step explanation:
1 2 + 1 9 = ? The Least Common Multiple (LCM) of 2 and 9 is 18. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM: 1 2 + 1 9 = 1 × 9 2 × 9 + 1 × 2 9 × 2 = 9 18 + 2 18 Now that the fractions have like denominators, add the numerators: 9 18 + 2 18 = 9 + 2 18 = 11 18 The result is: 1 2 + 1 9 = 11 18
so 11/18 is you answer
Answer:
<u>The volume of a mound of salt-sand mixture is 589.05 feet ³ or 589.05 cubic feet.</u>
Step-by-step explanation:
1. Let's check the information given to resolve the question:
Diameter of a mound of the mixture = 15 feet
Height (h) of the mound of the mixture = 10 feet
How much salt-sand mixture is there?
2. Let's find the volume of a mound of mixture with a conical shape:
For doing that, we need to use the volume formula of a cone.
It's: 1/3 * π * r² * h
Replacing with real values, we have:
1/3 * 3.1416 * 7.5 ² * 10 (Diameter = 15, so radius = Diameter/2 = 15/2 = 7.5)
Volume = 1/3 * 3.1416 * 56.25 * 10
Volume = 1/3 * 3.1416 * 562.5 (56.25 * 10 = 562.5)
<u>Volume = 187.5 * 3.1416 = 589.05 feet ³ or 589.05 cubic feet.</u>
