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lisabon 2012 [21]
3 years ago
6

-5-3x>2(10+2x)+3 help

Mathematics
1 answer:
shusha [124]3 years ago
4 0

Answer:

x < - 4

Step-by-step explanation:

- 5 - 3x > 2(10 + 2x) + 3 ← distribute parenthesis and simplify right side

- 5 - 3x > 20 + 4x + 3

- 5 - 3x > 4x + 23 ( add 3x to both sides )

- 5 > 7x + 23 ( subtract 23 from both sides )

- 28 > 7x ( divide both sides by 7 )

- 4 > x , that is

x < - 4

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If r = 9 units and x = 5 units, then what is the volume of the cylinder
GuDViN [60]

Answer:

The answer is volume= 1272

Step-by-step explanation:

volume of a cylinder= pi (3.14)*r^2*h

3.14*9^2*5, 3.14*81*5= 1271.7 when rounded is 1272

5 0
3 years ago
Maureen is making trail mix. She uses 8 ounces of granola and 2 ounces of raisins in her recipe. Fill in each statement. For eve
IrinaK [193]

Answer:

So for every ounce of granola she uses a quarter ounces of raisins so a quarter of 24 is 6

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Step-by-step explanation:

4 0
3 years ago
Can someone help me with this?
yan [13]
I'm assuming you want the total surface area.

This is a trapezoidal prism. The bases are the parallel faces running horizontal (parallel to the ground) and they are congruent trapezoids. The lateral sides are rectangles.

-------------------------------------------------

Lateral Faces:
The back face (hidden from view) is a rectangle that is 12 inches by 3 inches, so it has an area of 12*3 = 36 sq inches

The front slant faces on the left and right are each 3*5 = 15 sq inches in area

The front center lateral face has area of 6*3 = 18 sq inches

The total lateral surface area is 15+18+15+36 = 84 sq inches

-------------------------------------------------

The bases are each the same trapezoid. The trapezoid has two parallel sides of 12 and 6 inches. Call this b1 and b2. The height of the trapezoid is h = 4. Imagine the trapezoid is laid flat in a 2D perspective instead of a 3D one.

The area of one trapezoid is...
A = h*(b1+b2)/2
A = 4*(12+6)/2
A = 4*(18)/2
A = 72/2
A = 36

So the area of both base faces combined is 2*36 = 72

-------------------------------------------------

The total surface area is then found by adding the total lateral surface area (84) and the total base area (72) to get 84+72 = 156

Final Answer: 156 square inches

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3 years ago
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Alex_Xolod [135]

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Step-by-step explanation:

art

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3 years ago
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fiasKO [112]
Less than 12: 11 numbers
probability of getting less than 12: 11/100
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3 years ago
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