Answer:
The answer is: v < -3. So any number less than -3 fulfills the inequality.
Step-by-step explanation:
4 + 4(v - 6) < -29 + v
4 + 4v - 24 < -29 + v
4v - 20 < -29 + v
3v < -9
v < -3
Hope this helps! Have an awesome day! :-)
Answer:
1.9 inches
Step-by-step explanation:
We need to utilise one important formula in this question which is the volume of a cylinder formula. We need to work out the height of the cylinder given the following information that the radius is 8 inches and the volume is 384 cubic inches. We can set up an equation to find the value of the height so,
→ π × r² × h = 384
⇒ Substitute in 8 for 'r'
→ π × 8² × h = 384
⇒ Simplify
→ π × 64 × h = 384
⇒ Divide both sides by 64 to isolate π and h
→ π × h = 6
⇒ Divide both sides by π to isolate 'h' and find the value of the height
→ h = 1.9098593171
The height of a cylinder with a volume of 384 cubic inches and a radius of 8 inches is 1.9 inches
Simple....
you have:
to convert them into
improper fractions:
1.) Take whole number*denominator
(5*5=25)
2.) Take what you got...and
add the numerator
(25+2=27)
3.) Use the original denominator
Do the same to the other one...
2*13=26
26+10=36
Now..add...
But..you need a common denominator!
Now you can add!
When simplified....
Thus, your answer.
Answer:
0.7 cups
Step-by-step explanation:
5 gallons, use 3 1/2 cups = 3.5 cups of lemonade
so 1 gallon, use 3.5/5 = 0.7 cups of lemonade
Well, here is how i would do it.
We start with 225, at a rate of 15% per year. Assuming your answers are in years and not months, we will increase by this increment; years.
So, we start with 225, and a 15%, or .15, increase. So what we would do, it take 225 times .15. One way ive learned to do this (via algebra class) is that you can times it by 1.15 to make it quicker, this just takes out the adding step.
So after one year, we would have a total of 258.75, or about 259 wolves.
after two years, we would have about 298 (we cant have a half of a wolf!)
after 3 years, we would have about 343 wolves.
after 4 years, we would have about 394 ish
after 5 years, we would have about 453
after 6 years, we would have about 521.
So, it would take about 5 and a half years, if thats an option choice.
