8.71 xx10^(12)
The exponent is a positive number. This means the decimal point moves to the right by the number of the exponent.
There are two digits to the right of the decimal point, so to move the decimal 12 places, you would need to add 10 zeros.
8.71 x 10^12 becomes 8,710,000,000,000.
Let's start by writing a system of linear equations:
c -> cookies
cb -> candy bars
(You can use any abbreviations to your preference)
Abby:
4 cookies
3 candy bars
$10.25 per bag
The equation would be:
4c+ 3cb = $10.25
Marissa:
2 cookies
7 candy bars
$14.75 per bag
The equation would be:
2c + 7cb = $14.75
So our linear equation system would be:
<span>4c+ 3cb = $10.25
</span><span>2c + 7cb = $14.75
I would try to get rid of one variable so I can solve for the other variable. In this case, it is easier to get rid of c since I can multiply the second equations by 2. Then it would subtract the two equations.
(2c + 7cb = $14.75) 2 = 4c + 14 cb = $29.50
4c + 3cb = $10.25
- 4c+14 cb = $29.50 (4c would get canceled.)
---------------------------------
-11 cb = - $19.25 (Divide by -11 to solve for cb)
</span> --------- -------------
-11 -11
cb = $1.75
Now we know cb (candy bar) cost, we would substitute this value into cb into one of the equations. It doesn't matter which equation you put it in. I will substitute it in the first equations.
4c + 3 (1.75) = $10.25
4c + 5.25 = $10.25 (Multiply 3 by 1.75)
-5.25 -5.25 (Subtract 5.25 on both sides)
4c = 5 (Divide by 4 on both sides to get c)
---- ---
4 4
c= 1.25
Check the work:
4(1.25) + 3(1.75)
= $10.25
2(1.25) + 7(1.75)
= $14.75
Total cost:
cookies = $1.25
candy bars = $ 1.75
Hope this helps! :)
Answer:
9240 feet
Step-by-step explanation:
Petrov ran 7 laps around a track.Each lap around the track is a distance of 1/4 mile.
Step 1
The total distance Petrov ran in miles is calculated as:
1 lap = 1/4 mile
7 laps = x mile
Cross Multiply
x = 7 × 1/4 mile
x = 1.75 miles
Step 2
What is the total distance Petrov ran in feet?
1 mile = 5280 feet
1.75 miles = x
Cross Multiply
x = 1.75 × 5280 feet
x = 9240 feet
Therefore, the total distance Petrov ran in feet is 9240 feet
Tim spends 1/3 each weekday sleeping and 7/24 in school. We can write 1/3 as 8/24 so we have a common denominator. Now we can see that Tim sleeps for 1/24 time of a weekday more then he spends in school.
I hope that's what you meant.
