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2 years ago

The owner of a small store buys coats for $55.00 each. Answer parts a and b.

Mathematics

1 answer:

kenny6666 [7]2 years ago

5 0

The percent of the purchased price to the sale price is 40%.

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Vitek1552 [10]

Answer: 48

Step-by-step explanation:

12x4=48

6 0

3 years ago

Answer quick please.

attashe74 [19]

Answer:

52 cm²

Step-by-step explanation:

A=2(wl+hl+hw)=2·(2·3+4·3+4·2)=52

7 0

3 years ago

Find the volume of the region between the planes x plus y plus 2 z equals 2 and 4 x plus 4 y plus z equals 8 in the first octant

Alex787 [66]

Find the intercepts for both planes.

Plane 1, x + y + 2z = 2:

$y=z=0\implies x=2\implies (2,0,0)$

$x=z=0\implies y=2\implies(0,2,0)$

$x=y=0\implies 2z=2\implies z=1\implies(0,0,1)$

Plane 2, 4x + 4y + z = 8:

$y=z=0\implies4x=8\implies x=2\implies(2,0,0)$

$x=z=0\implies4y=8\impliesy=2\implies(0,2,0)$

$x=y=0\implies z=8\implies(0,0,8)$

Both planes share the same x- and y-intercepts, but the second plane's z-intercept is higher, so Plane 2 acts as the roof of the bounded region.

Meanwhile, in the (x, y)-plane where z = 0, we see the bounded region projects down to the triangle in the first quadrant with legs x = 0, y = 0, and x + y = 2, or y = 2 - x.

So the volume of the region is

$\displaystyle\int_0^2\int_0^{2-x}\int_{\frac{2-x-y}2}^{8-4x-4y}\mathrm dz\,\mathrm dy\,\mathrm dx=\displaystyle\int_0^2\int_0^{2-x}\left(8-4x-4y-\frac{2-x-y}2\right)\,\mathrm dy\,\mathrm dx$

$=\displaystyle\int_0^2\int_0^{2-x}\left(7-\frac72(x+y)\right)\,\mathrm dy\,\mathrm dx=\int_0^2\left(7(2-x)-\frac72x(2-x)-\frac74(2-x)^2\right)\,\mathrm dx$

$=\displaystyle\int_0^2\left(7-7x+\frac74 x^2\right)\,\mathrm dx=\boxed{\frac{14}3}$

3 0

3 years ago

Help me with math please

DENIUS [597]

(-3^3+2 · -2^2)^2-4^4

(-27+2 · -4)^2-4^4

(-27+(-8))^2-4^4

-35^2-4^4

1225-256

969

8 0

3 years ago

Consider a collection of envelopes consisting of 1 red envelope, 2 blue envelopes, 2 green envelopes.and 3 yellow envelopes. If

katrin [286]

Answer:

C. 1/16

Step-by-step explanation:

The probability of picking a blue envelope is 2/8 = 1/4. You want to select a blue envelope twice with replacement so we multiply 1/4*1/4 which is 1/16.

5 0

3 years ago

The owner of a small store buys coats for ​$55.00 each. Answer parts a and b.

The owner of a small store buys coats for $55.00 each. Answer parts a and b.