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! :)
0+9=9
1*9=9
0 plus any number equals that number. 1 multiplied by any number equals that number
Answer:
See below.
Step-by-step explanation:
For item 2:
The Net Price Rate = 276 / 460 = 0.60 = 60 % (answer).
Item 3: Net Price Rate = 3247 * 100 / 3820 = 85% (answer).
Item 4 Net Price Rate = 675.11 / * 100 / 987 = 68.4%. (answer).
Item 5 Item's Net Price = 987 * 0.675 = $666.23 (answer).
Item 7 Net price Rate = 2945* 100 / 4750 = 62%. (answer).
Item 8: First find the list place $x:
0.90* 0.80 * 0.70x = 252 ( the 0.90 , 0.80 and 0.70 come from 100 - 10% = 1 - 0.10 = 0.90 and so on)
0.504 x = 252
x = $500
Answer is List Price = $500 and Net Price Rate = 50.4%.
Item 10 List price = 2890.65 / 0.35 = $8259. (answer)
Answer:
1/3
Step-by-step explanation:
In statistics, the probability of both an event A and an event B happening is equal to the probability of A happening multiplied by the probability of event B happening.
Let's say spinning a prime number is event A and rolling a number ≤ 4 is event B.
There are 8 possibilities on an eight equal segment spinner, and there are 4 prime numbers between 1 and 8 (including 8), which are 2, 3, 5, and 7. This means that the probability of spinning a prime number is 4/8, or 1/2
There are 6 possibilities on a die, and there are 4 possibilities of rolling a 4 or less (1, 2, 3, 4). Therefore, the probability of rolling 4 or less on a die is 4/6, or 2/3
The probability of both of these happening can be calculated by multiplying these together, so 1/2 * 2/3 = 2/6 = 1/3
Answer: 10 minutes. explanation; 5 x2 = 10
