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mestny [16]
3 years ago
11

6x-3>5x+5 solve this in graphing inqualities.

Mathematics
1 answer:
erastova [34]3 years ago
4 0

Answer:

6x-3-5x-5>0

x-8>0

x>8

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A kitchen sink has a volume of 1800 cubic inches.What is the volume of a similar sink that is larger by a scale factor of 2
bonufazy [111]

Answer:

14400 cubic inches.

Step-by-step explanation:

Let l, b and h are length, breadth and height of a cuboid respectively, then

V=l\times b\times h

If another cuboid is larger by a scale factor of k, then kl, kb and kh are length, breadth and height of new cuboid respectively.

V_1=kl\times kb\times kh

V_1=k^3(l\times b\times h)

V_1=k^3V       ...(i)

It is given that a kitchen sink has a volume of 1800 cubic inches and a similar sink is larger by a scale factor of 2.

Substitute k=2 and V=1800 in equation (i).

V_1=2^3(1800)

V_1=14400

Therefore, the volume of required sink is 14400 cubic inches.

7 0
3 years ago
3 classmates share 2 granola bars equally.
umka21 [38]

Answer:

3/2 or 1.5

Step-by-step explanation:

the answer would be 3/2 because the number of classmates divided by the number of granola bars equals how much each classmate would get in all.

5 0
3 years ago
Solve the inequality and graph the solution<br> 4x-5&gt;7
ohaa [14]

Answer:

x > 3

interval notation: (3, ∞)

Step-by-step explanation:

Given the inequality statement: 4x - 5 > 7,

The goal is to isolate x and find its solution.

Start by adding 5 to both sides:

4x - 5 + 5 > 7 + 5

4x > 12

Divide both sides by 4:

4x/4 > 12/4

x > 3

The solution can also be expressed in the following interval notation:

(3, ∞).

In terms of graphing, it involves an empty circle on the endpoint, x = 3, as it is not included as a solution. The solution to the given inequality statement must be greater than 3.  

5 0
3 years ago
Use 3.14 on all questions on this text that use pi.
alexira [117]

Answer:

V_{cylinder}=3584\pi \thinspace yd^3

Step-by-step explanation:

Volume of a cylinder is just the area of the circle-surface multiplied by the height of the cylinder.

V_{cylinder}=\pi r^2 h

We're given that the radius=8 and height=56

V_{cylinder}=\pi r^2 h

V_{cylinder}=\pi (8)^2 (56)

V_{cylinder}=3584\pi \thinspace yd^3

6 0
4 years ago
Taka conducts an experiment where he rolls a number cube, with sides labeled from 1 to 6, and then flips a coin. This table show
sweet [91]
The experimental probability is 1/6, and the theoretical probability is 1/4. The theoretical probability is greater than the experimental probability in this trial.-------------------Explanation:
Theoretical probability is the mathematically calculated probability of the circumstances occurring. 
There is a 1/2 chance of rolling an even number, and a 1/2 chance of flipping a coin on heads.
Since the question asks for the possibility of both happening, multiply those together to find the probability:


The theoretical probability of rolling an even number and then flipping a head is 1/4.
Now we'll focus on Taka's trials.
Experimental probability is the probability that is taken from results of a trial.
Take the results, and see if they match the criteria of rolling an even number and flipping heads.
The results that are bolded fit the criteria:1 H, 4 T, 1 H, 5 T, 2 H, 3 T, 6 T, 2 H, 3 T, 5 T, 3 H, 4 T
Taka managed to roll and flip the coin to fit the criteria 2 times out of 12. Converted into a fraction, it is 2/12. Simplified, the experimental probability is 1/6
7 0
4 years ago
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