10)
60in=60in × (1ft/12in) = 5ft
30in= 30in × (1ft/12in) = 2.5ft
12in = 12in × (1ft/12in) = 1ft
answer is = 5ft × 2.5ft× 1ft =12.5 ft^3 = a
11)
dozen = 12 hammers
12 hammers = 20 pounds
therefore 1 hammer= 20/12 = 1.6666 lb
21 hammers ×1.666 = 35 = c
12)
convert qt to gal
600 gal × 4 qt/gal = 2400 qt
2400 qt ÷ 120 qt/min
=20 min = d
13)
Carla is 12
rob is 12+5= 17
cousin is 12-7 = 5
12+17+5= 34 =a
15)
convert 60ft into yards
60 ft × 0.333 yd/ft =20 yd
diameter = 20 yd
area of circle = (pi/4)×d^2
(pi/4)×20^2= 314.16 = b
A=2-b
2-b/b=3
2-b=3b
B=1/2
A=3/2
A-b=3/2-1/2=1
Answer is 1
Answer:
<h2>x = 3, y = 8</h2>
Step-by-step explanation:
We know:
The diagonals of the parallelogram are divided in half.
Therefore
EK ≅ KG and HK ≅ KF.
We have
EK = 7x + 5, KG = 3x + 17, HK = 3y - 11 and KF = y + 5
Equations:
(1) 7x + 5 = 3x + 17
(2) 3y - 11 = y + 5
Solutions:
(1)
7x + 5 = 3x + 17 <em>subtract 5 from both sides</em>
7x + 5 - 5 = 3x + 17 - 5
7x = 3x + 12 <em>subtract 3x from both sides</em>
7x - 3x = 3x - 3x + 12
4x = 12 <em>divide both sides by 4</em>
4x/4 = 12/4
x = 3
------------------------------
(2)
3y - 11 = y + 5 <em>add 11 to both sides</em>
3y - 11 + 11 = y + 5 + 11
3y = y + 16 <em>subtract y from both sides</em>
3y - y = y - y + 16
2y = 16 <em>divide both sides by 2</em>
2y/2 = 16/2
y = 8
I don't know what the "six-step method" is, but I do know how to solve the problem:
Let x = number of gallons of 50% solution
amount of antifreeze in 50% solution = 0.50x
amount of antifreeze in 10% solution = 0.10(80) = 8
amount of 40% solution = 0.40(x+80) = 0.40x + 32
Then, 0.50x + 8 = 0.40x + 32
0.10x = 24
x = 240 gal
Answer:
200 units.
10 minutes.
Step-by-step explanation:
Distance = 100 - (-100)
= 100 + 100
= 200 units.
Speed = distance / time
20 = 200/ t
t = 200/20
= 10 minutes.
