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3 years ago

7

Alex pays monthly rent of $1,152 for a three bedroom apartment she gets paid twice a month each paycheck is $1,315.32 before tax

es and deductions which total $319.62 for each paycheck how much money does Alex have each month after paying rent?

1 answer:

jeyben [28]3 years ago

6 0

Answer:

1158.82

Step-by-step explanation:

Just trust me bro

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825 students 55 teachers what is ratio

kumpel [21]

15 students per teacher because 825/55=15

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3 years ago

Which phrases could n + 10 represent? Check all that apply.

Ratling [72]

The sum of a number and ten,

A number plus ten,

Ten more than a number.

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Find the image of the given point

Ira Lisetskai [31]

Answer:

P' = (2, -6)

Step-by-step explanation:

In this translation, you just need to substitute x and y into the given translation to find what P' is. (x is -6 since it's the x-value of P, and y is -2 since it's the y-value of P):

where T(x, y) = (x + 8, y - 4) and x = -6 and y = -2,

T(-6, -2) = ((-6) + 8), (-2) - 4) (substitute x and y into the translation)

T(-6, -2) = (2, -6) (add and subtract)

So, P' = (2, -6)

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3 years ago

7. Marco is making beaded bracelets. Each

stiks02 [169]

One way to find the least common multiple of two numbers is to first list the prime factors of each number.

8 = 2 x 2 x 2

Then multiply each factor the greatest number of times it occurs in either number. If the same factor occurs more than once in both numbers, you multiply the factor the greatest number of times it occurs.

2: three occurrences

3: one occurrence

So, our LCM should be

2 x 2 x 2 x 3 = 24.

So, Marco can buy, at the very least, 24 beads of each color to have equal colors of beads.

4 0

3 years ago

A rectangular box with a volume of 272ft^3 is to be constructed with a square base and top. The cost per square foot for the bot

ASHA 777 [7]

Answer:

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

The length of one side of the base of the given box is 3 ft.

The height of the box is 30.22 ft.

Step-by-step explanation:

Given that, a rectangular box with volume of 272 cubic ft.

Assume height of the box be h and the length of one side of the square base of the box is x.

Area of the base is = $(x\times x)$

$=x^2$

The volume of the box is = area of the base × height

$=x^2h$

Therefore,

$x^2h=272$

$\Rightarrow h=\frac{272}{x^2}$

The cost per square foot for bottom is 20 cent.

The cost to construct of the bottom of the box is

=area of the bottom ×20

$=20x^2$ cents

The cost per square foot for top is 10 cent.

The cost to construct of the top of the box is

=area of the top ×10

$=10x^2$ cents

The cost per square foot for side is 1.5 cent.

The cost to construct of the sides of the box is

=area of the side ×1.5

$=4xh\times 1.5$ cents

$=6xh$ cents

Total cost = $(20x^2+10x^2+6xh)$

$=30x^2+6xh$

Let

C $=30x^2+6xh$

Putting the value of h

$C=30x^2+6x\times \frac{272}{x^2}$

$\Rightarrow C=30x^2+\frac{1632}{x}$

Differentiating with respect to x

$C'=60x-\frac{1632}{x^2}$

Again differentiating with respect to x

$C''=60+\frac{3264}{x^3}$

Now set C'=0

$60x-\frac{1632}{x^2}=0$

$\Rightarrow 60x=\frac{1632}{x^2}$

$\Rightarrow x^3=\frac{1632}{60}$

$\Rightarrow x\approx 3$

Now $C''|_{x=3}=60+\frac{3264}{3^3}>0$

Since at x=3 , C''>0. So at x=3, C has a minimum value.

The length of one side of the base of the box is 3 ft.

The height of the box is $=\frac{272}{3^2}$

=30.22 ft.

The dimensions of the box is 3 ft by 3 ft by 30.22 ft.

7 0

3 years ago