Answer:
x=-16
Step-by-step explanation:
6x+12=4x-20
2x=-32
x=-16
Answer: See explanation (btw, the answer is always in bold letters)
Step-by-step explanation:
1.) 1 gallon for $1.99
1/2 gallon for $0.98
1 gallon would be 0.98 × 2 = <em>1.96</em>
2 gallons for $3.98
1 gallon would be 3.98 ÷ 2 = 1.99
2.) 621 ÷ 4 = 155.25
He pays $155.25 each payment!
3.) V = s³
s = 3
V = 3³
3 × 3 × 3 = 27
V = 27 m³
4.) This is a rectangle; the area of a rectangle is l × b.
L = 6.9
l × b = a
6.9b = 28.29
Divide both sides by 6.9
b = 4.1
The missing length is 4.1 m
5.) False
First, let's expand the right side. Now our equation is

Now, we gather all the terms with x in it on the left side, and the numbers without x on the right. We get:

And then we can make this

We divide both sides by 12 to get x on its own, so x = 13/12 or 1.08
Answer:
The length of the pendulum is 14.13 meters.
Step-by-step explanation:
The length of a pendulum is given by the formula,
, where T is the times period and L is the length of the pendulum.
Now, given that T = 2.4π seconds.
So, from the above equation, we get,

⇒ 
⇒
{We have the value of g as 9.81 m/sec²}
⇒ L = 1.44 × 9.81 = 14.13 meters. (Approx.)
Therefore, the length of the pendulum is 14.13 meters. (Answer)
Answer: 2p+1.50=11.50
p = 5.00
<u>Step-by-step explanation:</u>
<em>Note: the tip is calculated on top of the total so this figure is a redherring</em>
<u>2 pancakes</u> <em>plus</em> <u>1 fruit cup</u> <em>equals</em> <u>total bill</u>
2p + 1.50 = 11.50
2p + 1.50 = 11.50
<u> - 1.50 </u> <u> - 1.50 </u>
2p = 10.00
<u>÷2 </u> <u> ÷2 </u>
p = 5.00