All categories

3 years ago

Which expression is equivalent to 2 (a + 2 b) minus a minus 2 b?

Mathematics

2 answers:

algol [13]3 years ago

8 0

Answer:

a+2b

Step-by-step explanation:

2(a+2b) -a-2b

2a+4b-a-2b

a+2b

ANTONII [103]3 years ago

5 0

Answer:

Step-by-step explanation:

You might be interested in

The yearbook club had a meeting. The meeting had 24 people, which is three-fourths if the club. How many people are in the club?

Contact [7]

Answer:

Step-by-step explanation:

24*3/4=18

3 0

3 years ago

A train left a station at 8:13 a.m. arriving at its destination at 4:52 p.m. If the stations are 527.65 miles apart, calculate t

Tomtit [17]

9514 1404 393

Answer:

D. 61 mi/h

Step-by-step explanation:

The travel time is 16:52 -8:13 = 8:39 hours, or 8.65 hours. Then the speed is ...

speed = distance/time = 527.65 mi/(8.65 h) = 61 mi/h

_____

Additional comment

It is often convenient to use "military" or "24-hour" time for calculations of time periods that extend over noon or midnight. For this purpose, 12 gets added to the hour number in the afternoon (pm). Of course, 39 minutes is 39/60 hours. That is found to be 0.65 hours by performing the division of 39 by 60.

6 0

2 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

2 years ago

One base of an isosceles trapezoid is 12 and the other is 20. What is the length of the midsegment?

mr_godi [17]

The length of the midsegment of an isosceles trapezoid is the sum of the two bases, divided by 2. So this means -

(base 1+base2) / 2

(12+20) / 2

32/2

Length of midsegment = 16

6 0

2 years ago

Please help me due today

Kaylis [27]

Answer:

the first three are the answer

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers