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trasher [3.6K]
3 years ago
6

Need help ASAP!!!!-​

Mathematics
1 answer:
Jlenok [28]3 years ago
7 0

Answer:

I think it's 7.200 but if I'm wrong I'm sorry

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Angela is shopping for pet supplies and needs to buy a kennel and several toys. At Paws R Us, she would pay $50.75 for the kenne
zhenek [66]

Answer: t>6

Step-by-step explanation:

Amount to pay = Cost of kennel + (Cost per toy )x (Number of toys)

Let t = the number of pet toys Angela would need to buy for Paws R Us to be the cheaper option.​

Given, At Paws R Us, she would pay $50.75 for the kennel and $3.75 for each pet toy.

Amount to pay =  $(50.75 + 3.75t)

At Truth or Tail, she would pay $43.25 for the kennel and $5 for each pet toy.

Amount to pay =  $(43.25 + 5t)

According to the question , we have

50.75 + 3.75t < 43.25 + 5t

Subtract 3.75t from both sides

50.75+ 3.75t -3.75t   < 43.25 + 5t -3.75t

⇒ 50.75< 43.25 +1.25 t

Subtract  43.25 from both sides, we get

50.75 - 43.25 < 1.25 t

⇒  7.5< 1.25 t

Divide both sides by 1.25 we get

⇒   6<t

Hence, the required inequality to represent t, the number of pet toys Angela would need to buy for Paws R Us to be the cheaper option:

t>6 .

5 0
3 years ago
Hii please help i’ll give brainliest if you give a correct answer
tino4ka555 [31]

Answer:

x * 3/8(s) = 5/4

5/4 ÷ 3/8(s) = x

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is the product?
ad-work [718]

Answer is C, just multiply and expand.

7 0
3 years ago
Read 2 more answers
Millie has a box of 1 hundred cubes. She also has a bag of 70 cubes. How many trains of 10 cubes can she makes?
melisa1 [442]
17 trains of ten cubes
5 0
3 years ago
Read 2 more answers
You’re instructed to prepare for a promotional candle sale you will use to test the popularity of the two redesigned candles. Wi
Anuta_ua [19.1K]

Answer:

THE SMALLEST FORMS:

- smallest prism ---> the cube with all sides 2 ==> the volume is 2*2*2 = 8 cm^3

- smallest pyramid number one ---> the pyramid with base sides 2 and the height also 2 ==> the volume is (1/3)*2*2*2 = 8/3 cm^3

- smallest pyramid number two ---> the pyramid with base sides 2 and the lateral sides also 2 ==> the radius of the base is sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 2^2 - sqrt(2)^2 = 4 - 2 = 2 ==> pyramid_height = sqrt(2) ==> the volume is (1/3)*2*2*sqrt(2) = 4*sqrt(2)/3 cm^3

- smallest cylinder --> the cylinder of diameter 2 and height also 2 ==> the radius is diameter/2 = 2/2 = 1 ==> the volume is pi*(radius^2)*height = pi*(1^2)*2 = pi*1*2 = 2*pi cm^3

The lesser volume is the volume of the smallest pyramid number two. ==> it's wax cost is approximately 0.0075 * 4 * 1.42 / 3 $ per candle = 0.014 $ per candle ==> the total cost  per candle is approximately 0.014 + 1.6 = 1.614 $ per candle.

THE BIGGEST FORMS:

- biggest prism ---> the cube with all sides 10 ==> the volume is 10*10*10 = 1000 cm^3

- biggest pyramid number one ---> the pyramid with base sides 10 and the height also 10 ==> the volume is (1/3)*10*10*10 = 1000/3 cm^3

- biggest pyramid number two ---> the pyramid with base sides 10 and the lateral sides also 10 ==> the radius of the base is 5*sqrt(2) ==> [pyramid_height]^2 = [lateral_side]^2 - [base_radius]^2 = 10^2 - [5*sqrt(2)]^2 = 100 - 50 = 50 ==> pyramid_height = 5*sqrt(2) ==> the volume is (1/3)*10*10*5*sqrt(2) = 500*sqrt(2)/3 cm^3

- biggest cylinder --> the cylinder of diameter 10 and height also 10 ==> the radius is diameter/2 = 10/2 = 5 ==> the volume is pi*(radius^2)*height = pi*(5^2)*10 = pi*25*10 = 250*pi cm^3

The bigger volume is the volume of the biggest prism (the side-10 cube). ==> it's wax cost is  0.0075 * 1000 $ per candle = 7.5 $ per candle ==> the total cost per candle is 7.5 + 1.6 = 9.1 $ per candle

The range of the cost is the interval [1.614 ; 9.1]. Depending on other prices on the market,  you greed, and other factors you will put a profit margin: maybe 20% of the cost ; maybe a fixed margin like 5$. So the price per candle will be the cost per candle plus the profit margin per candle.

If I were to choose the base length I would have to say 6 because it is the arithmetic mean between 2 and 10: (2+10)/2 = 12/2 = 6. 2cm is too small, and 10cm is too big.

Also if you start with a rectangle of length 10 and width 2 and you have to find the rectangle with the largest area by being allowed to increase the width and decrease the width with the same quantity you get this:

Area of the new rectangle is (10-x)(2+x) = -x^2 + 8x + 20 = -x^2 + 8x -16 + 36 = -(x^2 - 2*x*4 + 4^2) + 36 = -(x-4)^2 + 36 = 36 - (x-4)^2 which has the maximum value of 36 because out of 36 you subtract a positive value. You get the maximum when (x-4)^2 = 0 ==> x-4=0 ==> x=4

The new length is 10-4=6 and the new width is 2+4=6.

Next I would choose the height of the prism (I like prisms :P) to be [the_golden_ratio]*[base_side] which is approximately 1.618 * 6 = 9.708 which I would round up to 10. ==> The volume would be 6*6*10 = 360 cm^3. ==> the cost would be 0.0075*360 + 1.6 = 2.7 + 1.6 = 4.3 $ per candle. And because my candle is so perfect I'd put the profit margin to be 5.69 $ per candle so I can proudly show it in the store with the price of 4.3 + 5.69 = 9.99 $ :)

7 0
2 years ago
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