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Elina [12.6K]
3 years ago
8

Clark used a digital thermometer to check the internal temperature of a roasting turkey. The thermometer read 168 °F, and its re

ading is accurate within 2.7 °F. Which temperature falls within this range? A 165.8 °F B 165.1 °F C 171.0 °F D 172.7 °F
Mathematics
2 answers:
Lorico [155]3 years ago
7 0

Answer:

A. 165.8°F

Step-by-step explanation:

The range for the thermometer must be from 165.3°F to 170.7°F and the only answer choice that falls between those two numbers is, A 165.8°F.

slamgirl [31]3 years ago
5 0

Answer:

A and C falls within the range.

Step-by-step explanation:

Have a nice day!

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Rectangle A measures 9 inches by 3 inches. Rectangle B is a scaled copy of rectangle A.Select all of the measurements pairs that
umka2103 [35]

Answer:

3 inches by 1 inches or 6 inches by 2 inches. Both answera are correct

Step-by-step explanation:

just an equivalent ratio

hope this helps can I get brainliest

7 0
2 years ago
A motel owner observes that when a room is priced at $60 per day, all 80 rooms of the motel are occupied. For every $3 rise in t
Zinaida [17]

Answer:

a) p(x) = 300 - 3

b) P(x) = -3 x² + 285 x

c) Price of per room per day  = $ 157.5

when Number of rooms occupied , x = 47.5

Step-by-step explanation:

Given - A motel owner observes that when a room is priced at $60 per day, all 80 rooms of the motel are occupied. For every $3 rise in the charge per room per day, one more room is vacant. Each occupied room costs an additional $15 per day to maintain.

To find - a) Find the demand function, expressing p, the price charged for each room per day, as a function of x, the number of rooms occupied.

             b) Find the profit function P(x).

             c) Find the price of per room per day the motel should charge in order to maximize its profit.

Proof -

a)

Let

(x, y) be the point

where x represents number of rooms occupied

and y represents price of room per day.

Now,

Given that,

a room is priced at $60 per day, all 80 rooms of the motel are occupied.

So, point becomes (80, 60)

And  given that For every $3 rise in the charge per room per day, one more room is vacant.

So, point becomes (79, 63)

Now, we have two points (80, 60), (79, 63)

Let us assume that,

p(x) be the price charged for each room per day

Now,

By using point - slope formula , we get

p -60 = \frac{(63 - 60}{(79 - 80)} (x - 80)

⇒p -60 = (-3)(x-80)

⇒p-60 = 240 -3 x

⇒p(x) = 240 + 60 -3 x

⇒p(x) = 300 - 3 x

b)

Given that,

Each occupied room costs an additional $15 per day to maintain.

Let C(x) be the cost function,

Then C(x) =15 x

now,

Revenue function,

R(x) =x*p

      = x*(300 -3 x )

      = 300 x - 3 x²

⇒R(x) = 300 x - 3 x²

Now,

We know

Profit function = Revenue function - Cost function

⇒P(x) = R(x)-C(x)

⇒P(x) = (300 x -3 x²) -15 x

⇒P(x) = -3 x² + 285 x

c)

P'(x) = -6 x +285

For Maximize profit , Put P'(x) = 0

⇒-6 x+ 285 =0

⇒6 x= 285

⇒x = \frac{285}{6}

⇒x= 47.5

∴ we get

Maximize profit is when price, p = 300 - 3x

                                                      = 300 -3(47.5)

                                                      = $157.5

⇒Price of per room per day  = $ 157.5

when Number of rooms occupied , x = 47.5

5 0
2 years ago
(50 points) need help with khan practice geometry
Vedmedyk [2.9K]

The awnser is 60 because

It is a cube so it has the smae amout of sides

8 0
2 years ago
Samantha is making flower arrangements. She has 32 roses and 96 daisies. If she wants to make all the arrangements identical and
-Dominant- [34]

Answer:

3 daisies.

Step-by-step explanation:

Given that,

Samantha has 32 roses and 96 daisies.

She wants to make all the arrangements identical and have no flowers left over. We need to find the no of daisies in each flower arrangement.

For this, we need to first find the HCF of 32 and 96.

The factors of 32 are: 1, 2, 4, 8, 16, 32

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

HCF = 32

No of daisies = 96/32 = 3

Hence, there are 3 daisies in each flower arrangement.

7 0
3 years ago
What is the circumference of a rectangle when the length is 8 inches and the width is 4 inches
Nikolay [14]
You multiply 8x4=32 and then divide 32÷2= 16in²
5 0
3 years ago
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