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12345 [234]
3 years ago
11

Which inequality can be used to represent this scenario? Sarah has a $50 gift card for her favorite online makeup delivery servi

ce. The delivery service has a one time fee of $3.85 and the subscription is $10.50 every month. How many months of this service can Sarah subscribe to with her gift card?
Mathematics
1 answer:
vlada-n [284]3 years ago
7 0

Answer:

50 = 3.85 + 10.5m

Step-by-step explanation:

50 = Total

m= months

A one time payment can be deducted immediately, then the remaining amount should be divided by the price per month.

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A box with a square base and no top is to be built with a volume of 1638416384 in33. Find the dimensions of the box that require
julsineya [31]

Answer:

512\ \text{in}^2

Step-by-step explanation:

x = Length and width of base

y = Height of box

Volume of the box is 16384\ \text{in}^3

x^2y=16384\\\Rightarrow y=\dfrac{16384}{x^2}

Surface area is given by

s=x^2+4y\\\Rightarrow s=x^2+4\times \dfrac{16384}{x^2}\\\Rightarrow s=x^2+\dfrac{65536}{x^2}

Differentiating with respect to x we get

s'=2x-\dfrac{131072}{x^3}

Equating with 0 we get

0=2x^4-131072\\\Rightarrow x=(\dfrac{131072}{2})^{\dfrac{1}{4}}\\\Rightarrow x=16

s''=2+\dfrac{393216}{x^4}

at x=16

s''=2+\dfrac{393216}{16^4}=8>0

So the function is minimum at x = 16

y=\dfrac{16384}{x^2}=\dfrac{16384}{16^2}\\\Rightarrow y=64

The material required is

s=x^2+4y=16^2+4\times 64\\\Rightarrow s=512\ \text{in}^2

The minimum amount of material required is 512\ \text{in}^2.

6 0
3 years ago
(a) A square has a perimeter of 60m. What is the length of each side.
sp2606 [1]

Answer:

a. 15m

b. 7m

Step-by-step explanation:

  • perimeter is the sides added up, there are four sides of a square, and all sides are equal
  • equation s+s+s+s or s•4 (s=sides)
  • so to find the length with the perimeter divide perimeter by 4
  • 60/4=15

  • the area of a square is s²
  • so take the square root of the area
  • √49=7
3 0
4 years ago
Read 2 more answers
You must find the area of the shaded region in the link below
Mashutka [201]

Answer:

5x+1

Step-by-step explanation:

2x+3

*4x-5

=8x-15

Now you find the area of the white region

3x+2

*2-8

=3x+16

Now you subtract

8x-15

-3x+16

=5x+1

4 0
3 years ago
Read 2 more answers
Lily types 100 words in 2 minutes. what is her unit rate of typing ?
fomenos

Answer: 50

Step-by-step explanation: 100 / 2 is 50

8 0
4 years ago
Read 2 more answers
Which line has the error
Shtirlitz [24]

Answer:

the problem correctly :

x-5(x+1)=3x+2

x-5x-1=3x+2

x-5x-3x=2+1

-7x/-7=3/-7

x=3/-7

4 0
3 years ago
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