Height = x (This is given)
Length = 5x
Width = 6x
Volume = length × width × height
The equation will be: (5x)(6x)(x) = 1920
simplify:
30x² × (x) = 1920
30x³ = 1920
Divide both sides by 30
x³= 64
x = ∛64
x= 4
If x = height, then, the height is 4cm
5x = length
20cm = length
6x = width
24cm = width
Answer:
$234
Step-by-step explanation:
Let x be the money made in sales. Let y be the commission.
First, convert 13% to a decimal.
13% = 0.13
Make your equation:
0.13x = y
Plug in the value of sales for x.
0.13(1800) = y
y = $234
are greater than >
and less than <
so the answer is < because
9514 1404 393
9514 1404 393
Answer:
1) (1 1/2)(7/5) = g
2) (1 1/2)/(5/7) = g
Step-by-step explanation:
1) Tyler has painted 5/7 of the 7/7 of the fence. So the total amount of the fence is (7/7)/(5/7) = 7/5 as much as what was already painted.
The total amount of paint needed is then 7/5 the amount already used:
g = (7/5)(1 1/2) . . . . . gallons of paint needed for the whole fence
__
2) If g gallons are required for the whole fence, the amount used so far for 5/7 of the fence is 5/7 of the quantity required:
(5/7)g = 1 1/2
g = (1 1/2)/(5/7) . . . . division expression for the paint needed
Answer:
Step-by-step explanation:
3x+y−7=0 and x+2y+9=0
write in the form y=mx+c
i.e.y=−3x+7,y=
2
−x
−
2
9
∴m
1
=−3 and m
2
∓−
2
1
tan(A−B)=
∣
∣
∣
∣
∣
1+tanAtanB
tanA−tanB
∣
∣
∣
∣
∣
∣
∣
∣
∣
∣
1+(−3)(−y
2
)
−3−(−y
2
)
∣
∣
∣
∣
∣
=
∣
∣
∣
∣
∣
5/2
−5/2
∣
∣
∣
∣
∣
=1
∴ Angle b/w then is tan
−1
(1)=45
∘
=
4
π
