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3 years ago

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Your local gas stations are having a price war. During the past 7 days they have lowered the price of regular gas by $.02 each d

ay. Define a variable. Then write and solve an equation to find the total change in gas price. Show your work.
Please help!! Need answer ASAP

1 answer:

WITCHER [35]3 years ago

8 0

They want you to solve it and find the total change ?

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A restaurant sells about 330 sandwiches each day at a price of $6 each $.25 decrease in price. 15 more sandwiches are sold per d

zmey [24]

Answer:

restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

Step-by-step explanation:

to calculate current revenue= $6 x 330 = $1980

suppose x as the number of times the price to be dropped by $0.25

then find new price.. i.e

new price= $(6-0.25x)

and, new sell=330 +15x sandwiches

therefore, the new revenue would be= (6-0.25x)(330 +15x)

in order to maximize the current revenue, simplify the above equation and make it complete square using x

(6-0.25x)(330 +15x)

=1980-82.5x +90x -3.75 $x^{2}$

=1980 + 7.5x -3.75 $x^{2}$

=1980-3.75 (-2x+ $x^{2}$ ) ----> taking out common

now, to make a complete square lets add and subtract 1 inside the parentheses

=1980-3.75(-1+1-2x+ $x^{2}$ )

=1980 +3.75 -3.75( $x^{2}$ -2x +1)

=1983.75 -3.75 $(x-1)^{2}$ ---->(1)

as $(x-1)^{2}$ is positive always, minimize the other term in order to maximize the total revenue.

so the minimum possible value of $(x-1)^{2}$ = 0

therefore, x=1

putting x in eq(1) the revenure becomes,

$(1983.75-0)=> $1983.75

therefore, restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

3 0

3 years ago

Evaluate the expression when m = 4 and n = 6.<br><br> (3m−n)^2+4m

alexira [117]

Answer:

yor answer is 52

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Determine if the triangle with the given sides is acute, obtuse, or right. 36, 49, 60

kotykmax [81]

<span>When given 3 triangle sides, to determine if the triangle is acute, right or obtuse:
</span>1) Square all 3 sides.
2) Sum the squares of the 2 shortest sides.
3) Compare this sum to the square of the 3rd side.

if sum > 3rd side² Acute Triangle
if sum = 3rd side² Right Triangle<span>
if sum < 3rd side² Obtuse Triangle

1) 1,296 2,401 3,600
2) Sum = 3,697
3) </span><span>3,697 is greater than 3,600
Therefore, the triangle is acute.

Source:
http://www.1728.org/triantest.htm

</span>

4 0

3 years ago

A farmer builds a fence to enclose a rectangular pasture.He uses 155 feet of fence. Find the total area of the pasture if it is

ICE Princess25 [194]

The area for the perimeter of a rectangle is:
<em>P = 2l + 2w</em>
In this problem, we are given that P = 155 and l = 45.5. To solve for area, we must find w. To do this, plug in the given info and isolate the w like so:
$155=2(45.5)+2w \\ 155=91+2w \\ (155)-91=(91+2w)-91 \\ 64=2w \\ \frac{64}{2} = \frac{2w}{2} \\ w=32$
Now we know w = 32. Knowing all the necessary info, we can use the area formula, <em>A=lw</em>, to solve for A.
$A=(45.5)(35) \\ A=1,456$

The area is 1,456 sq ft.

Hope this helps!

5 0

4 years ago

How do you know whether a number is a multiple of another number?

il63 [147K]

Answer:

For example, a multiple of 2 is 2, 4, 6, 8, etc...

So if your question is find three multiples of 36, it would 36, 74 and 110.

Hoped this helped, have a nice day!

Brainlyest plz?

5 0

4 years ago