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3 years ago

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Check all that apply.

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

5 0

The correct answer is –6x + 15 < 10 – 5x.

We can tell this by solving for x.

–3(2x – 5) < 5(2 – x) ----> Multiply to the parenthesis.

-6x + 15 < 10 - 5x ----> This is answer #3 and now we add 5x to both sides

-x + 15 < 10 ----> subtract 15 from both sides

-x < -5 ----> Divide by -1

x > 5 (Note that you have to change the direction of the sign when dividing by a -1. Therefore it does not match answer #1).

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PLZ HELP ASAP ON 3 A B AND C

viktelen [127]

A: From the graph, car B was traveling faster.

Because the line of car B is more steep than the line of car A.

B:
The lines cross at (2,80), this means that the two cars were traveling at the same distance (80 miles) at the same time (2 hours).

C:
Since the line passes through the points (0,0) and (2,80)

So the unit rate or slope is 40 mph.

The distance which car A traveled in the first four hours = 4x40= 160 mph

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3 years ago

A small business produces and sells balls. The fixed costs are $20 and each ball costs $4.32 to produce. Each ball sells for $8.

Gemiola [76]

Part 1:

Fixed Cost, f = $20

number of balls = n

Cost of each ball, c = 4.32

Price of each ball, p = 8.32

Equation for total cost:

Total Cost of balls will come by adding the cost of all balls and the fixed cost

Total Cost = number of balls made × Cost of each ball + fixed cost

Equation for revenue:

Revenue = Number of balls made × price of each ball

Part 2:

Use the graphing method to determine how many balls must be sold to break even

Breakeven means Revenue = total Cost

This happens at a point (5,41.6) where n = 5 is the number of balls sold

and C = 41.6 is the total cost

When 5 balls are sold there will be breakeven

R = 4n - 20

C = 4.32n + 20

Red line represent Cost

Black line represent Revenue

5 0

3 years ago

Hi pls help me in math im soo stuck:(((

Genrish500 [490]

2x = 48, 3x = 72, 4x = 96, 6x = 144

2x + 3x + 4x + 6x = 360
15x = 360
x = 24

2x = 2(24) = 48
3x = 3(24) = 72
4x = 4(24) = 96
6x = 6(24) = 144

8 0

3 years ago

Algebra question I don’t get it because you usually have to multiple A by C but there is no C in the problem.

Misha Larkins [42]

Ok so basically, when you say multiply A by C, that is simplifying.

And in this case, you are factorising in this question. You turn back into brackets basically.

We have:
72x^2 - 32

x^2 = x squared

factorising means finding the factor of.

(Forget the x squared for the moment to make life easier)

Factors of 72:
1 and 72
2 and 36
3 and 24
4 and 18
6 and 12
8 and 9
(9 and 8 = it repeats so we stop there)

And then factors of 32:
1 and 32
2 and 16
4 and 8
(8 and 4 = repeats so we stop there)

Notice how we see 8 twice in both factors of 72 and 32, this means that we use 8 as the main number we are going to multiply each of the 2 numbers in the brackets by. This is because it is the biggest common factor - this is what we have!

This is what we would have:
8(9-4)

BUT, that is not the answer!
Keep in mind we have the x squared too

But, 32 doesn’t have it?!!

It would be:
8(9x^2 - 4)

Do you get it??

Try to simplify it! Does it equal to 72x^2 - 32?

(And I am so very sorry for the long explanation, once you get the hang of it, it makes sense. Hope my explanation helped) :)

6 0

3 years ago

Jaylan makes limeade using 3/4 cup of water for every 1/5 cup of lime juice. Rene's limeade recipe is different. He uses 2/3 cup

oksano4ka [1.4K]

Jaylan: Juice/Water = (3/4)/(1/5) = 15/4

Water/Juice = (2/3)/(1/6)=4/1 or (16/4) in Rene's .

Rene's combination has more water than Jaylan's limeade, which results in a milder lime flavor. Given that Rene's has more water and both have the same amount of lime juice (assume ratio), Rene's limeade has a milder lime taste.

What is combination in math?

Both "COMBIN" and "nCr" here redirect. See Combination (disambiguation) and NCR for further usage (disambiguation).

A combination in mathematics is a choice made from a group of separate elements where the order of the selection is irrelevant (unlike permutations). Three fruits, such as an apple, an orange, and a pear, for instance, can be combined into three different pairs: an apple and a pear, an apple and an orange, or a pear and an orange. A k-combination of a set S is officially defined as a subset of S's k unique members. So, if and only if each combination has the same elements, two combinations are said to be identical.

Learn more about combination brainly.com/question/20211959

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1 year ago