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3 years ago

What is the sum of 4ft 4 in and 1 ft 11in

Mathematics

2 answers:

Umnica [9.8K]3 years ago

7 0

6 feet and 3 inches

Nataliya [291]3 years ago

3 0

Answer:

6ft 3in

Step-by-step explanation:

4ft + 1ft = 5ft

4in +11in= 15in

15in =1ft and 3in

5ft+ 1ft 3in= 6ft 3in

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a gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sel

adell [148]

Answer:

The price per wind chime that will maximize revenue = $ 315

Step-by-step explanation:

Given - A gift shop sells 160 wind chimes per month at $150 each. the owners estimate that for each $15 increase in price, they will sell 5 fewer wind chimes per month.

To find - Find the price per wind chime that will maximize revenue.

Proof -

Given that,

Total Wind chimes selling = 160

Price of each Wind chime = $150

Now,

Given that, for each $15 increase in price, they will sell 5 fewer wind chimes per month.

So,

Let the price = 150 + 15x

So,

Number of wind Chimes sold per month = 160 - 5x

So,

Total Revenue, R = (150 + 15x)(160 - 5x)

= 24000 - 750x + 2400x - 75x²

= 24000 + 1650x - 75x²

⇒R(x) = 24000 + 1650x - 75x²

Differentiate R with respect to x , we get

R'(x) = 1650 - 150x

Now,

For Maximize Revenue, Put R'(x) = 0

⇒1650 - 150x = 0

⇒150x = 1650

⇒x = 1650/150

⇒x = 11

∴ we get

Price per Wind chime = $ 150 + 15(11)

= $ 150 + 165

= $ 315

So,

The price per wind chime that will maximize revenue = $ 315

3 0

3 years ago

What is the improper fraction 17/10 as a decimal

Rina8888 [55]

17 / 10 = 1 7/10 = 1.7

4 0

3 years ago

Read 2 more answers

NEED HELP ASAP, I'LL GIVE BRAINLIEST. (EXPLANATION NEEDED) ALGEBRA

katrin [286]

$31x^2 +14y -15x +3\\\\=x(31x-15)+14y+3$

4 0

2 years ago

If there are 10 yellow Skittles, how many are green?

kirill115 [55]

I think the answer is 8.

hope this helps!

4 0

3 years ago

If the perimeter of the large square tile is 48 inches and the perimeter of the smaller square is 16 inches, what is the perimet

USPshnik [31]

<u>Answer</u>:

The perimeter of one of the trapezoids is equal to 27.3 inches

<u>Step-by-step explanation:</u>

Given:

Perimeter of the large square tile = 48 inches

Perimeter of the smaller square = 16 inches

To Find :

The perimeter of one of the trapezoids

see the attached figure to better understand the problem

Solution:

we know that

The perimeter of a square is

P = $4 \times sides$

step 1:Find the length side of the smaller square

$16=4 \times side_{\small square}$

$side_{\small square}= \frac{16}{4}$

$side_{\small square}= 4 inches$

step 2 :Find the length side of the large square

$48=4 \times side _{large square}$

$side _{large square}=\frac{48}{4}$

$side _{large square}=12 inches$

step 3: Find the height of one trapezoid

The height is equal to

$h=\frac{(12-4)}{2}$ =4 in

step 4: Find the hypotenuse of one isosceles right triangle

one trapezoid is equal to one square and two isosceles right triangles.

Applying Pythagoras Theorem

$c^{2}=4^{2} +4^{2} \\ \\c=4\sqrt{2}\ in$

step 5: Find the perimeter of one of the trapezoid

The perimeter is equal to

$P=(4\sqrt{2} +4+4\sqrt{2}+12)\\ \\P=(16+8\sqrt{2})\ in$

P = 16 +8(1.414)

P= 16 + 11.28

P= 27.28

P =27.3

6 0

3 years ago