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2 years ago

Write the sum of two consecutive even numbers, the greater of which is equal to 2n.

Mathematics

2 answers:

podryga [215]2 years ago

7 0

Answer:

4n-2

Step-by-step explanation:

jek_recluse [69]2 years ago

4 0

Answer:

4n - 2

Step-by-step explanation:

Greater = 2n

Smaller = 2n - 2

Sum = 2n + (2n - 2)

Sum = 2n + 2n - 2

Sum = 4n - 2

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An owner of a restraint wants to conduct a survey about possible menu changes. Give an example of a sampling method that would p

garri49 [273]

Do you mean restaraunt?

Every 10th customer
Every 15th customer

Something like that. I hope this helps.

8 0

3 years ago

Mister Rogers is fencing another new rectangular garden in his neighborhood. One side of the garden faces the road and needs to

Oksanka [162]

Answer:

length of the pretty side and length of the side oppositte to the pretty side = 37.91 ft

length of the other two sides = 27.52 ft

Step-by-step explanation:

The mathematical problem is:

Max A = b1*h

subject to: 35*b1 + 18*(2*h + b2) <= 3000

Where

A: area of the garden

b1: length of the pretty side

b2: length of the side oppositte to the pretty side

h: length of the other two sides

Replacing with b1 = b2 and taking only the equality sign in the restriction (in the maximum all the money will be spent), we get:

35*b1 + 18*(2*h + b1) = 3000

35*b1 + 36*h + 18*b1 = 3000

53*b1 + 36*h = 3000

b1 = 3000/53 - (36/53)*h

Substituing in Area's formula

A = (3000/53 - (36/53)*h)*h

A = (3000/53)*h - (36/53)*h^2

In the maximum, the derivative of A is equal to zero

dA/dh = 3000/53 - 2*(36/53)*h =

3000/53 - 72/35*h = 0

h = (3000/53)*(35/72)

h = 27.52 ft

then,

b1 = 3000/53 - (36/53)*27.52

b1 = 37.91 ft =b2

3 0

3 years ago

5 pounds of almonds cost $25. What is the unit price per pound?

denis23 [38]

Answer:

Step-by-step explanation:

To find the unit price, we have to divide the price, $25, by the number of units, 5.

$\frac{25}{5}$ = 5

So, the unit price is $5 per pound.

Good luck ^^

6 0

3 years ago

Read 2 more answers

If f(x)=5x-2, and g(x)=2x+1, find (f+g)(x)

SOVA2 [1]

=[5x-2]+[2x+1]
=5x-2+2x+1
=5x+2x-2+1
=7x-1

3 0

3 years ago

The equation of line r is y = -1\2x - 4. If line s runs perpendicular to line r and passes through (4, -3), what would be the eq

Scrat [10]

First off, what's the slope of "r" anyway, $\bf y=\stackrel{slope}{-\cfrac{1}{2}}x-4$ .

low and behold, since "r" is in slope-intercept form, notice, it has a slope of -1/2.

now, any line perpendicular to "r", will have a negative reciprocal slope to it, that is,

$\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad -\cfrac{1}{2}\\\\
negative\implies +\cfrac{1}{{{ 2}}}\qquad reciprocal\implies + \cfrac{{{ 2}}}{1}\implies 2$

so we're really looking for a line whose slope is 2, and runs through 4,-3,

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
% (a,b)
&&(~{{ 4}} &,&{{ -3}}~)
\end{array}
\\\\\\
% slope = m
slope = {{ m}}\implies 2
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-(-3)=2(x-4)\implies y+3=2x-8
\\\\\\
y=2x-11$

7 0

3 years ago