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bogdanovich [222]
3 years ago
8

What is the solution to the equation 1/2x + 3 = 2/3x + 1

Mathematics
2 answers:
alexandr402 [8]3 years ago
6 0

Answer:

x=12

Step-by-step explanation:

kotegsom [21]3 years ago
4 0

Answer:

x=12

Step-by-step explanation:

1/2x + 3 = 2/3x + 1

Subtract 1 from each side

1/2x + 3-1 = 2/3x + 1-1

1/2x +2 = 2/3 x

Subtract 1/2 x from each side

1/2x -1/2x+ 2 = 2/3x -1/2x

2 = 2/3x -1/2x

Get a common denominator of 6  2/3 = 4/6   and 1/2 = 3/6

2 = 4/6x - 3/6x

2 = 1/6 x

Multiply each side by 6 to isolate x

2*6 = 1/6x *6

12 =x

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the ratio of students at a school is 3 boys for every 4 girls. If there are 52 girls how many boys are in the school
vova2212 [387]
There are 39 boys. 
First you divide 4 into 52 because there are 3 boys for 4 girls. 
Then you take the quotient, 13, and multiply by 3.
3 0
4 years ago
We are interested in finding out the proportion of adults in the United State who cannot cover a $400 unexpected expense without
serious [3.7K]

Answer:

Step-by-step explanation:

given that we are interested in finding out the proportion of adults in the United State who cannot cover a $400 unexpected expense without borrowing money or going into debt.

Sample size = 765

Favour = 322

a) The population is the adults in the United State who cannot cover a $400 unexpected expense without borrowing money or going into debt

b) The parameter being estimated is the population proportion P of adults in the United State who cannot cover a $400 unexpected expense without borrowing money or going into debt.

c) point estimate for proportion = sample proporiton = \frac{322}{765} \\=0.4209

d) We can use test statistic here as for proportions we have population std deviation known.

d) Std error = 0.01785(\sqrt{\frac{pq}{n} }

Test statistic Z = p difference / std error

f) when estimated p is 0.50 we get Z = -4.43

g) Is true population value was 40% then

Z = 1.17 (because proportion difference changes here)

7 0
3 years ago
You counted 28 big dogs and 20 small dogs running around at the park.
AURORKA [14]

Answer:

5:7

Step-by-step explanation:

3 0
3 years ago
A boy has only dimes and quarters in his piggy bank. if he has 70 coins worth 13 dollars and 60 cents altogether, how many quart
Nimfa-mama [501]
11 i think check I am not sure I think I did this problem already
3 0
4 years ago
Mathieu is finding the x-intercepts of the function f(x) = x2 + 4x + 3. His work is shown below
Alex_Xolod [135]

Answer:

I can't see Mathieu's work but I will show the right steps and maybe you can find where Mathieu went wrong.

f(x)=x^2+4x+3

f(x)=(x+3)(x+1)       Since 3*1=3 and 3+1=4

The x-intercepts can be found by setting y to 0 and solving for x

(in other words replace that f(x) thing with 0 and solve for x)

0=(x+3)(x+1)

Now set both factors equal to 0

x+3=0       or      x+1=0

x   =-3                    x=-1

The x-intercepts are at (-3,0) and (-1,0)

7 0
3 years ago
Read 2 more answers
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