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3 years ago

Solve. 3/4 * 3/5 PLease help!!!

Mathematics

2 answers:

KiRa [710]3 years ago

3 0

Do you need it in fraction or decimal?

DochEvi [55]3 years ago

3 0

The answer is 9/20 or .45 in decimal form, pls mark brainliest

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A sports store sells 42 pairs of running shoes per day for $ 10.00 each. The owner estimates that for each $ 2.00 increase in pr

Setler [38]

Answer: $26

Step-by-step explanation:

Let the number of $2 price increases be x.

This means that if the price is 10+2x, 42-2x shoes are sold.

So, the revenue is (10+2x)(42-2x).

To maximize profit, we must maximize revenue.

$(10+2x)(42-2x)\\\\=-4x^2 +64x+420$

The maximum is at $x=-\frac{64}{2(-4)}=8$ , so the price should be 10+2(8)=$26.

8 0

1 year ago

The function f(x,y)=2x + 2y has an absolute maximum value and absolute minimum value subject to the constraint 9x^2 - 9xy + 9y^

deff fn [24]

Answer:

the minimum is located in x = -5/3 , y= -5/3

Step-by-step explanation:

for the function

f(x,y)=2x + 2y

we define the function g(x)=9x² - 9xy + 9y² - 25 ( for g(x)=0 we get the constrain)

then using Lagrange multipliers f(x) is maximum when

fx-λgx(x)=0 → 2 - λ (9*2x - 9*y)=0 →

fy-λgy(x)=0 → 2 - λ (9*2y - 9*x)=0

g(x) =0 → 9x² - 9xy + 9y² - 25 = 0

subtracting the second equation to the first we get:

2 - λ (9*2y - 9*x) - (2 - λ (9*2x - 9*y))=0

- 18*y + 9*x + 18*x - 9*y = 0

27*y = 27 x → x=y

thus

9x² - 9xy + 9y² - 25 = 0

9x² - 9x² + 9x² - 25 = 0

9x² = 25

x = ±5/3

thus

y = ±5/3

for x=5/3 and y=5/3 → f(x)= 20/3 (maximum) , while for x = -5/3 , y= -5/3 → f(x)= -20/3 (minimum)

finally evaluating the function in the boundary , we know because of the symmetry of f and g with respect to x and y that the maximum and minimum are located in x=y

thus the minimum is located in x = -5/3 , y= -5/3

4 0

4 years ago

At the stadium, the Grandstands, Bleachers and Box Seats cost $6.75, $4.50 and $10.50, respectively. If you have $80, then how m

Vesna [10]

You would be able to buy 7 seats because you would divide 10.50 by 80 and you would get 7.6.... and you don't have a 6th of a person so it would then be just 7.

7 0

4 years ago

how many 4-digit numbers can be formed from 1,2,3,4, and 5 if no repitition allowed/ if repitition allowed?

ICE Princess25 [194]

Answer:

Step-by-step explanation:

5 0

4 years ago

Find the equation of the straight line through (–2, 3) perpendicular<br> to 2x + y =8

Thepotemich [5.8K]

Answer:

$y = \dfrac{1}{2}x + 4$

Step-by-step explanation:

The equation of a line in slope-intercept form is

y = mx + b

We need to find the slope, m, and the y-intercept, b.

The line we need is perpendicular to the line 2x + y = 8.

<em>The slopes of perpendicular lines are negative reciprocals.</em>

We solve the given equation for y to find the slope of the given line.

2x + y = 8

y = -2x + 8

The given line has slope -2.

The negative reciprocal of -2 is 1/2.

Our line has slope, m = 1/2.

Now we have

y = 1/2 x + b

Now we use the given point, (-2, 3), for x and y, using x = -2, and y = 3, and we solve for b.

y = 1/2 x + b

3 = 1/2 * (-2) + b

3 = -1 + b

4 = b

b = 4

Now we have

y = 1/2 x + 4

Answer: $y = \dfrac{1}{2}x + 4$

8 0

3 years ago