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3 years ago

How many solutions exist for the given equation? 12x+1=3(4x+1)-2

Mathematics

2 answers:

enyata [817]3 years ago

6 0

I got All Real Numbers (infinite answers); what's your answer choices?

vagabundo [1.1K]3 years ago

3 0

12x+1=3(4x+1)-2
12x=3(4x+1)-3
12x=12x+3-3
12x=12x

there are infinite solutions in that no matter what x is equal to, the equation will always be true (at least I think that's the answer...)

You might be interested in

List from least to greatest 7/16 1/2 3/8 9/32 5/16 15/32

Ber [7]

There's a really simple way to answer this. Just like when you're adding fractions, you need to either turn them into decimals or make their denominators equal to put them in order

Here, we see the highest common denominator is 32, so we're going to turn all of the fractions' denominators into 32.

7/16=14/32

1/2=16/32

3/8=12/32

9/32=9/32

5/16=10/32

15/32=15/32

So, in order: 9/32, 5/16, 3/8, 7/16, 15/32, 1/2

4 0

3 years ago

Two computers working together can finish a search in 30 seconds. One of these computers can finish in 50 seconds. How long woul

Natalka [10]

Let x be the first computer. Let y be the first computer. We know that Work = 1 / Time.

If the work together, work can be done in 30 seconds. Thus, we have:
1/x + 1/y = 1/30

If x will finish in 50 seconds, we need to compute how many seconds y can finish the same work. Thus solving for y, we have the equation below:
1/50 + 1/y = 1/30
1/y = 1/30 - 1/50
1/y = 1/75

The second computer can finish the same work in 75 seconds.

3 0

3 years ago

Someone please hurry and help with these its ok if its wrong will do brainliest sorry its blurry but please try!!!!

arlik [135]

Step-by-step explanation:

the slope is always the factor of x.

it is expressed as ratio y/x indicating how many units y changes when x changes a certain amount of units.

parallel means they have the same slope (factor of x).

perpendicular (90 degrees) means x and y trade places upside-down, and the sign is flipped.

so,

10) neither. we have the slopes -2/1 and 1/1.

11) parallel. the slopes -1/2 and -1/2.

12) perpendicular. the slopes 5/1 and -1/5.

16) parallel. special case. all points that have x=4 and x=2. these are 2 vertical lines (parallel to the y-axis also known as x=0).

17) perpendicular. special cases. all points that have y=2 and all points that have x=5. this is one horizontal line and one vertical line, which makes them perpendicular.

7 0

3 years ago

Read 2 more answers

During its first year, there were 138 volunteers at a community outreach program. Over the next 2 years, there were 156 voluntee

dem82 [27]

Answer:

0.1%

Step-by-step explanation:

138 into a percent=1.38%

156 into a percent=1.56%

175 into a percent=1.75%

1.38-1.56=0.18

1.56-1.75=0.19

0.19-0.18= <u>0.1%</u>

5 0

3 years ago

Norgestrel and ethinyl estradiol tablets are available containing 0.5 mg of norgestrel and 50 μg of ethinyl estradiol. How many

Bogdan [553]

Answer:

5g of norgestel are used in making 10,000 tablets.

0.5g of ethinyl estradiol are used in making 10,000 tablets.

Step-by-step explanation:

This problem can be solved as a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

Unit conversion problems, like this one, is an example of a direct relationship between measures.

First step: Grams of norgestrel

Each tablet contais 0.5mg of norgestrel. How many miligrams are in 10,000 tablets?

1 tablet - 0.5 mg

10,000 tablets - x mg

x = 10,000*0.5

x = 5,000 mg

Now we have to convert 5,000 mg to g. Each g has 1,000 mg. So:

1g - 1,000 mg

xg - 5,000 mg

1,000x = 5,000

$x = \frac{5,000}{1,000}$

x = 5g,

5g of norgestel are used in making 10,000 tablets.

Final step: Grams of ethinyl estradiol

50ug = 0.05 mg.

1 tablet - 0.05mg

10,000 tablets - xg

x = 10,000*0.05

x = 500 g

Now we have to convert 500 mg to g. Each g has 1,000 mg. So:

1g - 1,000 mg

xg - 500 mg

1,000x = 500

$x = \frac{500}{1,000}$

x = 0.5g,

0.5g of ethinyl estradiol are used in making 10,000 tablets.

8 0

3 years ago