All categories

4 years ago

HELP PLEASE!!!!!!!!

Mathematics

1 answer:

lana [24]4 years ago

4 0

Answer:

Step-by-step explanation:

If you divide 2,727 miles by 27 miles per gallon you will get the number of gallons: = 101. Then, multiply the number of gallons by the cost per gallon: 101(4.04) = 408.04. This gives the cost of gas for this car to travel 2,727 typical miles.

You might be interested in

Choose the function that represents the data in the table.

Elden [556K]

Answer:

y=3x^2

Step-by-step explanation:

edge

3 0

3 years ago

Read 2 more answers

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

. Determine if the lines are parallel, perpendicular, or neither to the given line 24x + 12 y = 24

deff fn [24]

Answer:

a - neither b - perpendicular

Step-by-step explanation:

put them in desmos and look at the lines

5 0

3 years ago

Cual es el resultado?

evablogger [386]

Es la b 1DM 5c 6d 0U

4.350+2.710+3.500= 10.560
Nacieron 10.560 productos en la huerta.

4 0

3 years ago

If esin²x +sin⁴x+sin⁶x+....+infinity log²=0and 0<x<pie/2 then cosx/cosx+sinx=<br>

xenn [34]

Can you show picture of it

8 0

3 years ago