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mart [117]
3 years ago
11

Which of the following are solutions to the inequality -7x+14>-3x-6? select all that apply

Mathematics
1 answer:
Jlenok [28]3 years ago
8 0

Answer:

A, C, E, F, G

Step-by-step explanation:

let's actually solve the inequality -7x+14>-3x-6:

Adding 7x to both sides simplifies the inequality to 14> 4x-6.

Adding 6 to both sides isolates 4x:  20 > 4x.

Finally, dividing both sides by 4 yields 5 > x, or x < 5.

We must now determine which of the possible solutions A-G are less than 5:

A, C, E, F, G

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Jesse is playing a game with a number cube with faces numbered 1 through 6. What is the probability of rolling a number that is
lana [24]

Answer:

The probability of rolling a number that is even and a multiple of 3 is \frac{1}{6}

Step-by-step explanation:

The total possible  outcomes of cube = { 1, 2, 3 , 4 , 5 , 6}

Now, let E: Event of getting an even number and a multiple of 3

So, out of all the outcomes, {6) is the ONLY possible favorable outcome.

\textrm{P(E)}  =\frac{\textrm{Number of favorable outcomes }}{\textrm{Total number of outcomes}}

or, P(E) = \frac{1}{6}

Hence, the probability of rolling a number that is even and a multiple of 3 is \frac{1}{6}

8 0
3 years ago
(4.3 x 10^-3)(2 x 10^-2) in standard form
notka56 [123]

Answer:

8.6•10^-5 or 0.000086

6 0
3 years ago
The volume of the polyhedron is ______ cm3.
PSYCHO15rus [73]

Answer:

50.80 cm^3

Step-by-step explanation:

the polyhedron is a rectangular pyramid

Volume of a rectangular pyramid = 1/3 x ( width x height x length)

1/3 ( 4 x 5 x 3) = 20 inches

we need to convert inches to cm

1 in = 2.54 cm

20 x 2.54 = 50.80 cm^3

8 0
3 years ago
What is the volume of the right prism?
Bess [88]
The answer would be B as half of 6 is 3 and 3 x 5 is 15 , 15 x 10 is 150 :)<span />
5 0
3 years ago
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Assume Cylinder A and Cone B are the same height and the bases have the same radius. If A has a volume of 18π cm3, what is the v
disa [49]

Answer:

Option A  V_B=19\ cm^3

Step-by-step explanation:

The volume of a cone is:

V_B = \pi\frac{hr ^ 2}{3}

The volume of a cylinder is:

V_A = \pi(r ^ 2)h

Both figures have the same height h and the same radius r.

The volume of the cylinderV_A = 18\pi\ cm ^ 3

We want to find the volume of the cone.

Then, we find r and h:

V_A = 18\pi = \pi(r ^ 2)h

We simplify.

V_A = 18 = (r ^ 2)h

Then the product of (r ^ 2)h = 18.

We substitute this in the cone formula and get:

V_B =\frac{\pi}{3}(18)\\\\V_B = \frac{18}{3}\pi\\\\V_B=19\ cm^3

8 0
3 years ago
Read 2 more answers
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