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3 years ago

PLEASE HELP!!! Stacy’s bill at IHOP was $23.15. How much will she spend altogether if she leaves a 20% tip

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

4 0

Answer: $27.78

Brainliest?

Step-by-step explanation:

20% of 23.15

can be found by doing: 0.2 x 23.15 = 4.63

Add 23.15 and 4.63 = 27.78

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A closed box with a square base is to have a volume of 171 comma 500 cm cubed. The material for the top and bottom of the box co

Zepler [3.9K]

Answer:

$C(x)=\dfrac{20x^3+1715000}{x}\\$Minimum cost, C(35)=\$29,400$

The dimensions that will lead to minimum cost of the box are a base length of 35 cm and a height of 140 cm.

Step-by-step explanation:

Volume of the Square-Based box=171,500 cubic cm

Let the length of a side of the base=x cm

Volume $=x^2h$

$x^2h=171,500\\h=\dfrac{171500}{x^2}$

The material for the top and bottom of the box costs $10.00 per square centimeter.

Surface Area of the Top and Bottom $=2x^2$

Therefore, Cost of the Top and Bottom $=\$10X2x^2=20x^2$

The material for the sides costs $2.50 per square centimeter.

Surface Area of the Sides=4xh

Cost of the sides=$2.50 X 4xh =10xh

$\text{Substitute h}$=\dfrac{171500}{x^2} $into 10xh\\Cost of the sides=10x(\dfrac{171500}{x^2})=\dfrac{1715000}{x}$

Therefore, total Cost of the box

$= 20x^2+\dfrac{1715000}{x}\\C(x)=\dfrac{20x^3+1715000}{x}$

To find the minimum total cost, we solve for the critical points of C(x). This is obtained by equating its derivative to zero and solving for x.

$C'(x)=\dfrac{40x^3-1715000}{x^2}\\\dfrac{40x^3-1715000}{x^2}=0\\40x^3-1715000=0\\40x^3=1715000\\x^3=1715000\div 40\\x^3=42875\\x=\sqrt[3]{42875}=35$

Recall that:

$h=\dfrac{171500}{x^2}\\Therefore:\\h=\dfrac{171500}{35^2}=140cm$

The dimensions that will lead to minimum costs are base length of 35cm and height of 140cm.

Therefore, the minimum total cost, at x=35cm

$C(35)=\dfrac{20(35)^3+1715000}{35}=\$29,400$

8 0

3 years ago

Leila says that 75% of a number will always be greater than 50% of any other number.

Gemiola [76]

That is not correct, it depends on the numbers you are referring to. For instance, 75% of 100 is 75, but 50% of 1000 is 500, so in this case the 50% of a number is higher than 75% of another number. Although, is true that 75% is higher than 50% of the same number always.

3 0

3 years ago

What is the slope of (5,7) and (-2,0)

yulyashka [42]

Answer:

Slope: 1

Step-by-step explanation:

In this question, we need to find the slope with the given points.

To find the slope, we would use the equation:

m = y2-y1/x2-x1

Plug in your coordinates and solve:

m = 0 - 7/-2 - 5

m = -7/-7

Two negatives cancel each other to make a positive, and 7/7 = 1

m = 1

This means that the slope would be 1.

8 0

3 years ago

Read 2 more answers

NOTE: Angles not necessarily drawn to scale.

JulsSmile [24]

Answer:

x=70

Step-by-step explanation:

angle FED and GEC are vertical angles so they both equal 50

angle DEB and CEA are also vertical angles so they both equal 20

50+20=70

8 0

3 years ago

A markup that is more than 300% can be represented by an original price of $100 and a final price of

Oxana [17]

Answer is a :
100 + 300% of 100 = 400
but the markup is more than 300%
ans : a)

3 0

4 years ago