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maw [93]
2 years ago
7

Which number line represents the solution set for the inequality –4(x + 3) ≤ –2 – 2x?

Mathematics
2 answers:
andrew-mc [135]2 years ago
7 0
The answer is> -5.....
const2013 [10]2 years ago
4 0
-4(x + 3) < = -2 - 2x
-4x - 12 < = -2 - 2x
-4x + 2x < = -2 + 12
-2x < = 10
x > = -5

the correct number line will have closed circle on -5 with shading to the right
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Pedro cut a sheet of poster board into 10 equal parts. His brother used some of the poster board and now 8/10 is left. Pedro wan
yawa3891 [41]

Answer: 8


Step-by-step explanation:

Given: Pedro cut a sheet of poster board into 10 equal parts.

let x be the total sheet.

then, one part of sheet= \frac{1}{10} of the sheet

Now, His brother used some of the poster board and now 8/10 is left.

Therefore, if Pedro wants to make a sign from  each remaining part of the poster board.

then, The number of signs he can make= \frac{8}{10}\div \frac{1}{10}=\frac{8}{10}\times\frac{10}{1}=8

Hence, Pedro can make 8 signs.

4 0
2 years ago
Read 2 more answers
Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a constant rate of 8 cubic feet
adell [148]

Answer:

dh/dt = 0,07 ft/min

Step-by-step explanation:

The swimming pool has the shape of right circular cylinder, therefore its volume is

V(c) = π*x²*h

Where x is the radius of the base and h the height

We take differentiation on both sides of the equation to get:

dV/dt  =  π*x²*dh/dt

The rate of change in height of water in the pool, is independent of the height of the water, since the pool is a right crcular cylinder, and dV/dt is constant at 8 ft³/min.

Then:

8  = π*x²*dh/dt

dh/dt = 8 /  π*x²

dh/dt = 8/113,04

dh/dt = 0,07 ft/min

7 0
2 years ago
Translate triangle a by vector (-3/1)to give triangle b. Then rotate your triangle b 180 degrees around the origin to give trian
Dmitrij [34]

Answer:

Rotation of triangle A across a point (1.5, -0.5) by 180°.

Step-by-step explanation:

Translation of a figure about a vector \binom{-3}{1} means translation of a figure by 3 units to the left on x-axis and 1 unit in the positive direction of the y-axis.

Rule for the translation will be,

(x, y) → [(x - 3), (y + 1)]

From the figure attached,

Vertices of the triangle A are A(1, -1), B(1, -4) and C(3, -4)

After translation new image points will be A'(-2, 0), B'(-2, -3), C'(0, -3).

After rotation of these image points 180° about the origin will be,

Rule for the rotation,

(x, y) → (-x, -y)

A'(-2, 0) → A"(2, 0)

B'(-2, -3) → B"(2, 3)

C'(0, -3) → C"(0, 3)

Therefore, A(1, -1) → A"(2, 0) is the single transformation.

Rule for this transformation which maps triangle C to A will be defined by,

Rotation of triangle A across a point (1.5, -0.5) by 180°.

8 0
2 years ago
A pendant is formed using a cylinder and cone. Once assembled, as shown below, the pendant is painted. How many square millimete
d1i1m1o1n [39]

Answer:

336π square millimeterz

3 0
2 years ago
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A factory bottles 360 bottles of juice in 5 minutes. Find the factory's unit rate of bottles per minute.
castortr0y [4]

Find the unit rate by dividing 360 bottles by 5 minutes:

360 bottles

-------------------- = 72 bottles/minute

5 minutes

3 0
2 years ago
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