4. A bakery used 30% more butter this month than last month. If the bakery used 300 kilograms of

Mathematics

1 answer:

GarryVolchara [31]3 years ago

8 0

they used 500 kilograms because since it is thirty percent will not be 600 it is 500 so there is the answer

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Abby filled her goodie bags with 4 cookies and 3 candy bars and spent a total of $10.25 per bag. Marissa filled her goodie bags

Paladinen [302]

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! :)

6 0

4 years ago

Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula.

Goshia [24]

Answer:

$\sf 2^{(n+1)}$