Answer:
<u>r=85</u>
Let's solve your equation step-by-step:
−6(r−98)=78
<em>Step 1: Simplify both sides of the equation</em>
−6(r−98)=78
(−6)(r)+(−6)(−98)=78<em>(Distribute)</em>
−6r+588=78
<em>Step 2: Subtract 588 from both sides</em>
−6r+588−588=78−588
−6r=−510
<em>Step 3: Divide both sides by -6</em>
−6r/−6=−510/−6
r=85
Answer:
<u>r=85</u>
Answer:
Step-by-step explanation:
As
7.2, a, b, 3 are in A.P
As we know common difference of the arithmetic sequence is the difference between the successive term and its preceding term, which is always constant
so
a -7.2 = b - a
a + a = b + 7.2
2a = b + 7.2
b = 2a - 7.2
also
a, b, 3 are in A.P
b - a = 3 - b
b + b = 3 + a
2b = 3 + a
Putting b = 2a - 7.2 in the equation 2b = 3 + a to find the value of 'a'.
2b = 3 + a
2 (2a - 7.2) = 3 + a
4a - 14.4 = 3 + a
3a = 3 + 14.4
3a = 17.4
Dividing the equation by 3
3a ÷ 3 = 17.4 ÷ 3
a = 5.8
Putting a = 5.8 in the equation b = 2a - 7.2
b = 2a - 7.2
= 2(5.8) - 7.2
= 11.6 - 7.2
b = 4.4
Therefore,
Answer:
Step-by-step explanation:
When y varies directly with x
y=kx x=20 y=-8
k=y/x
k=-8/20
k=-0.4
now when x=-4 find y
y=kx
y=-0.4*-4
y=1.6
Find the volume of the candle using the formula for volume of a cylinder:
V = PI x r^2 x h = 3.14 x 3.4^2 x 6 = 217.79 cubic cm. Round to 217.8
Find the volume of the block: V = l x w x h = 15 x 12 x 18 = 3,240 cubic cm.
Now divide the volume of the block by the volume of a candle:
3240 / 217.8 = 14.88
Round to the nearest tenth = 14.9 candles.
