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3 years ago

There are 92 beds in a 40-room motel. Each rooms has 2 or 3 beds. How many rooms have 2 beds?

1 answer:

7 0

$x-\ rooms\ with\ 2\ beds\\\\
y-\rooms\ with\ 3\ beds\\\\\\
x+y=40\ \ \ \ --->\ \ \ x=40-y\\
2x+3y=92\\\\
2(40-y)+3y=92\\\\
80-2y+3y=92\\\\
y+80=92\ \ \ | subtract\ 80\\\\
y=12\\\\x=40-12=28\\\\
28\ rooms\ has\ 2\ beds.$

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Sav [38]

Answer:

8r^4

Step-by-step explanation:

√(64r^8) = √((8r^4)^2) = 8r^4

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You can make use of either or both of these rules of exponents:

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Using the second rule, you can write the expression as ...

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3 years ago

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Find the volume of the tetrahedron in the first octant bounded by the coordinate planes and the plane passing through (2 comma 0

SVETLANKA909090 [29]

Answer:

The volume of the tetrahedron is:

$\frac{50}{3}=16.667$

Step-by-step explanation:

The volume of the tetrahedron is given by the intersection of the planes x = 0, y = 0, z = 0 and the plane formed by the three points given.

The equation of the plane formed by the three points is:

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It can also be expressed as:

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We have to calculate the triple integral, therefore we must define the domain:

The values of x are given by:

0≤x≤2

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$0\leq y \leq 5-\frac{5}{2}x$

We will integrate the values of z between the plane z = 0 and the plane 10x + 4y+5z=20

10x + 4y+5z=20 ⇒ $z=\frac{20-10x-4y}{5} =4-2x-\frac{4}{5}y$

$0\leq z \leq 4-2x-\frac{4}{5}y$

The volume of the tetrahedron is:

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$\int\limits^{2}_{0} \ \ \ \int\limits^{5-\frac{5}{2} x}_{0} \frac{z^2}{2}|^{4-2x-\frac{4}{5}y}_0\, dy \,dx$

$\frac{z^2}{2}|^{z=4-2x-\frac{4}{5}y}_{z=0}=\frac{5}{25}(5x+2(y-5))^2$

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4 years ago

Which is a limitation of using cellulose

Semmy [17]

Answer:

Step-by-step explanation:

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4 years ago

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The gas tank of Tyrell's truck holds 19.8 gallons. when the tank is empty Tyrell fills it with gas that cost $3.65 per gallon. a

Murljashka [212]

This is pretty simple. Since there are 19.8 gallons and every gallon is 3.65$, you multiply 19.8 by 3.65 to get $72.27. It will cost 72.27$ to fill up the tank.

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3 years ago

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Akimi4 [234]

Answer:

I thinks it's A

Step-by-step explanation:

1) 12:6×1=2

2) 12:4×1=3

3) 1+1+2+3+2=9

4) 12-9=3