Answer:
1032 miles
Step-by-step explanation:
We have : 5103 - 4071 = 1032(miles)
So he drove more 1032 miles this year than last year
Answer:
76.8
Step-by-step explanation:
1. We assume, that the number 31.25 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 31.25, so we can write it down as 100%=31.25.
4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.
5. Now we have two simple equations:
1) 100%=31.25
2) x%=24
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=31.25/24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for 24 is what percent of 31.25
100%/x%=31.25/24
(100/x)*x=(31.25/24)*x - we multiply both sides of the equation by x
100=1.3020833333333*x - we divide both sides of the equation by (1.3020833333333) to get x
100/1.3020833333333=x
76.8=x
x=76.8
now we have:
24 is 76.8% of 31.25
Answer:
50% pen first box and 62.5% crayon from second box
Step-by-step explanation:
The first box contains 4 items, 2 of each. This means there are
pens. This gives you a
chance of picking out a pen. This can be written as 50%.
The second box contains 8 items, 3 color pencils and 5 crayons. This means
of the contents are crayons, meaning you have a
or 62.5% chance of picking a crayon.
*For working out the percentages, you should convert the fraction to a decimal and then multiply that by 100.
**This content involves fractions, decimals and percentages, as well as basic probability, which you may want to revise. I'm always happy to help!
Answer:
<-3,4>
<0,-5>
Step-by-step explanation:
|-3w| = 15
3|-w| = 3|w| = 15
|w| = 
|w| = 5
- If vector w is represented by <1,-9>
Then |w| =
.
Therefore this is not possible.
- If vector w is represented by <-3,4>
Then |w| =
.
Therefore this is possible.
- If vector w is represented by <4,5>
Then |w| =
.
Therefore this is not possible.
- If vector w is represented by <-5,-3>
Then |w| =
.
Therefore this is not possible.
- If vector w is represented by <0,-5>
Then |w| =
.
Therefore this is possible.
(NOTE : if z vector is represented by <x,y> then |z| =
)