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! :)
Step-by-step explanation:
4/5 divide
0.8 is the ans
Answer:
330cm
Step-by-step explanation:
The formula to find the surface area of a rectangular prism is 2(lh+hw+lw)
(lh) in this formula is length times height
(hw) is height times width
(lw) is length times width
To find the answer to this problem lets make the height 3/5cm the width 10cm and the length 15cm
so now you would do (15*3/5) which is 9. This solve (lh)
then you would find (3/5*10) which is 6. This solves (hw)
and lastly you would find (15*10) which is 150. This solves (lw)
Now that you now the value of each one of these you replace it in the equation as so: 2(9+6+150)
now you solve the brackets which leaves us with 2(165)
now you multiply 2 with 165
and the answer is 330cm
Surface area = 330cm
3.141592653589793238462643383279 502884197169399375105820974944 5923078164062862089986280348253421170679
Answer: D) 10
============================================================
Explanation:
I'm assuming points M and N are midpoints of segments FD and FE respectively. If that's the case, then segment DE is twice as long compared to segment MN. We consider MN to be a midsegment.
So,
DE = 2*(MN)
3x-2 = 2*(x+4)
3x-2 = 2x+8
3x-2x = 8+2
x = 10
