Answer: x=−2
Step-by-step explanation:
Let's solve your equation step-by-step.
4(8−x)−32=98−5(3x+24)
Step 1: Simplify both sides of the equation.
4(8−x)−32=98−5(3x+24)
(4)(8)+(4)(−x)+−32=98+(−5)(3x)+(−5)(24)(Distribute)
32+−4x+−32=98+−15x+−120
(−4x)+(32+−32)=(−15x)+(98+−120)(Combine Like Terms)
−4x=−15x+−22
−4x=−15x−22
Step 2: Add 15x to both sides.
−4x+15x=−15x−22+15x
11x=−22
Step 3: Divide both sides by 11.
11x
/11
=
−22
/11
x=−2
Answer:
360 cm^2.
Step-by-step explanation:
Area of the base = 10*10 = 100 cm^2.
We find the slant height of the sides using Pythagoras:
h = sqrt ( 12^2 + 5^2)
h = sqrt 169
h = 13.
Area of the triangular sides = 4 * 1/2 * 10* 13
= 260 cm^2
So the total surface area = 100 + 260
= 360 cm^2.
Answer:
- <u>The odds are 2 : 23, or about 0.09 : 1 (0.09 to 1).</u>
Explanation:
The <em>odds </em>of an event is the ratio of occurrence to non-occurrence of the event.
When you know the <em>probability</em> of an event, then you can calculate the odds by dividing the probability of occurence by the probability of non-occurrence.
Calling p the probability that an event will happen, 1 - p is the probability that it will not happen and the odds will be:
You have p = 8% = 0.08, and 1 - p = 1 -0.08 = 0.92.
Therefore:
- Odds = 0.08 / 0.92 = 8 : 92 = 2 : 23 ≈ 0.09 : 1 (0.09 to 1)
