Answer:
4/3
Step-by-step explanation:
Answer: This coil will not be enough to complete the job.
Step-by-step explanation:
The circumference of the coil of wiring can be calculated with:
Where r is the radius and
The radius can be calculated by dividing the diameter by 2. Then:
Convert 9 inches to yards (1 yard=36 inches):
Substitute this radius into the formula:
Since there are 21 circles of wire, you need to multiply by 21:
The coil has 32.97 yards of wire and Alex needs 34 yards, therefore, this coil will not be enough to complete the job.
1. For the first question, asking to write an equation for how much more Max needs to save up, It would simply be 95.00 + n = 150.00.
This is because he has $95 and needs $n more to get to the final amount of $150.
2. For the second question, asking which number being substituted for n makes the equation true, isolate n in the equation to find what it equals. To do this, subtract 95 from both sides.
95 + n - 95 = n < This isolates the variable.
150 - 95 = 55
This means n = 55 (fifty five)
3. The inequality is a bit more complicated since it says less than $5 per week. The way I'd do it would get some kind of answer but because I haven't done inequalities like this in a while, I unfortunately can't help you with this part. I can say, however, that it more than likely has something to do with being between two values, but I'm not sure. Sorry for the inconvenience.
Answer:
50 soldiers must be transferred elsewhere.
Step-by-step explanation:
We solve this question by proportions, using a rule of three.
As the number of soldiers decrease, the provisions last for more time. This means that the measures are inversely proportional, and we have an inverse rule of three, using line multiplication, instead of cross.
30 days of provisions - 200 soldiers
40 days of provisions - x soldiers
Simplifying by 40
The provisions will last for 40 days with 150 soldiers, which means that 200 - 150 = 50 soldiers must be transferred elsewhere.