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bezimeni [28]
3 years ago
5

Lisa specializes in baking lemon cupcakes. She bakes 3 dozen cupcakes every hour. The cost (in dollars) of making n cupcakes is

given by the function C(n) = 60 + 0.45n. The function that models the number of cupcakes lisa makes in h hours is n(h)=___. The cost in terms of hours h is given by ___. Lisas cost for making cupcakes for 2 hours is___
Mathematics
1 answer:
kirza4 [7]3 years ago
8 0

Answer:

36h, 60+16.2h, and $92.40.

Step-by-step explanation:

n(h)=36h because there are 3 dozen cupcakes made per hour, to get C(h) you just plug in 36h in place of n and simplify, and then for the final answer 2 is plugged into the equation from the second answer.

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Max was on vacation twice as long is Jared and half as long as Wesley. The boys were on vacation a total of three weeks. How man
nasty-shy [4]
To begin with, the question is asking for the answer in days, so let's change 3 weeks to days. There are 7 days in 1 week; 3 weeks times 7 days = 21 days.
21 total days of vacation.

Max + Jared + Wesley = 21 days
(Let's use the first letter of their name to represent their vacation time)

M + J + W = 21 [This is the equation we'll be coming back to]

Now, we can use the clues given in the question to have an equation for each variable/boy. 

Max was on vacation twice as long as Jared. We can interpret this as  M= 2J Max was on vacation only half as long as Wesley. We can interpret this as M = (1/2)W.

So far we have these three equations: M + J + W = 21M = 2J M = (1/2)W

To have an equation for each individual boy, we must rearrange the last two equations in the list.

First, M = 2J.
Divide both sides by 2
M/2 = 2J/2
(1/2)M = J

Second, <span>M = (1/2)W
Multiply both sides by 2
2M = W

New equations:
</span><span>M + J + W = 21 [From the old list]
</span>J = (1/2)W
W = 2M

Now we can substitute the last two equations into the first one. 
M + J + W = 21
M + (1/2)W + 2M = 21
[Combine Like Terms]
<span>(7/2)M = 21 
</span>
Then, solve for M (Max's vacation days):
Multiply both sides by 2/7
(\frac{2}{7})* (\frac{7}{2}m)= (\frac{2}{7})*(21)
M = 6

Now we know Max was on vacation for 6 days.

If Max was on vacation twice as long as Jared, that means Jared was on vacation HALF as long as Max.

So...
<span>J = (1/2)M 
J = (1/2) * 6
J = 3
Jared was on vacation for 3 days 
</span>
Wesley was on vacation twice as long as Max so...  W = 2M 
W= 2*6
W = 12
Wesley was on vacation for 12 days. 

Let's double check our answer:
M + J + W = 21 days<span>6 + 3 + 12 = 21   
The numbers work out so the math is correct. Hope this helps and makes sense!</span>
6 0
3 years ago
Solve for x: three halves plus one half times x equals two x
Masteriza [31]
I’m pretty sure it is 1 because if you have 3 half’s that equals 1 and 1/2 and then you add 1/2 which equals two so if you multiply it by X and it still equals two then X would have to be 1
6 0
3 years ago
You mid morning break begins at 9:45 am and lasts for 10 minutes. you work for 2 hours and 10 minutes until your lunch break. wh
TiliK225 [7]
9:45 + 10 = 9:55
9:55 + 2:00= 11:55 This is what I got
8 0
3 years ago
Find the surface area
Zinaida [17]

Answer:5400

Step-by-step explanation:

A= 6a*2

6x9x10*2= 5400

4 0
3 years ago
Help me please these are for my finals. ! :(
Degger [83]

Answer:

negitive

Step-by-step explanation:

good luck on finals

4 0
2 years ago
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