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3 years ago

Solve the following equation. 2/3x + 6 = 1/2x + 1/4 x

Mathematics

2 answers:

vesna_86 [32]3 years ago

6 0

Answer:

x=72

Step-by-step explanation:

2/3x + 6 = 1/2x + 1/4 x

Multiply both sides by 12 to get rid of the fractions

12(2/3x + 6) = 12(1/2x + 1/4 x)

8x +72 = 6x +3x

Combine like terms

8x+72 = 9x

Subtract 8x from each side

8x-8x+72 = 9x-8x

72 = x

nexus9112 [7]3 years ago

4 0

Answer:

x = 72

Step-by-step explanation:

Multiply through by the lowest common multiple of 3, 2 and 4

To clear the fractions multiply through by 12

The equation can now be written as

8x + 72 = 6x + 3x, that is

8x + 72 = 9x ( subtract 9x from both sides )

- x + 72 = 0 ( subtract 72 from both sides )

- x = - 72 ( multiply both sides by - 1 )

x = 72

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4. Hydrocarbons in the cab of an automobile were measured during trips on the New Jersey Turnpike and trips through the Lincoln

pochemuha

Answer:

No these these result do not differ at 95% confidence level

Step-by-step explanation:

From the question we are told that

The first concentrations is $c _1= 30.0 \ g/m^3$

The second concentrations is $c _2 = 52.9 \ g/m^3$

The first sample size is $n_1 = 32$

The second sample size is $n_2 = 32$

The first standard deviation is $\sigma_1 = 30.0$

The first standard deviation is $\sigma_1 = 29.0$

The mean for Turnpike is $\= x _1 = \frac{c_1}{n} = \frac{31.4}{32} = 0.98125$

The mean for Tunnel is $\= x _2 = \frac{c_2}{n} = \frac{52.9}{32} = 1.6531$

The null hypothesis is $H_o : \mu _1 - \mu_2 = 0$

The alternative hypothesis is $H_a : \mu _1 - \mu_2 \ne 0$

Generally the test statistics is mathematically represented as

$t = \frac{\= x_1 - \= x_2}{ \sqrt{\frac{\sigma_1^2}{n_1} +\frac{\sigma_2^2}{n_2} }}$

$t = \frac{0.98125 - 1.6531}{ \sqrt{\frac{30^2}{32} +\frac{29^2}{32} }}$

$t = - 0.0899$

Generally the degree of freedom is mathematically represented as

$df = 32+ 32 - 2$

$df = 62$

The significance $\alpha$ is evaluated as

$\alpha = (C - 100 )\%$

=> $\alpha = (95 - 100 )\%$

=> $\alpha =0.05$

The critical value is evaluated as

$t_c = 2 * t_{0.05 , 62}$

From the student t- distribution table

$t_{0.05, 62} = 1.67$

$t_c = 2 * 1.67$

=> $t_c = 3.34$

given that

$t_c > t$ we fail to reject the null hypothesis so this mean that the result do not differ

6 0

3 years ago

Josh is hiking Glacier National Park. He has now hiked a total of 17 km and is 2 km short of being half of the way done with thi

poizon [28]

Hello!

What we know so far is that Josh has hiked 17km. He is 2km short of being half way done with the hike.

To solve this, we must add 17 and 2 (to find the kilometers that he has hiked and the kilometers that he needs to hike to reach half way.)
17+2= 19

Now we know that 19km is exactly halfway in Josh's hike.
To find the total amount of km in Josh's hike, we must multiply 19 by two. (Half way times two = total amount)

19x2= 38

The total amount of kilometers in Josh's hike is 38km.

I hope this helps you!!

8 0

3 years ago

10. Explain how proving two triangles congruent can help prove parts of the triangle congruent.

forsale [732]

Answer:

if two angles r equal or sides r proportional

5 0

3 years ago

Simplify the expression. -2.7f + 0.8f - 16 - 4

Mazyrski [523]

Answer:

-1.9f-20

Step-by-step explanation:

-2.7f+0.8f-16-4

Collect similar items

-2.7f+0.8f=-1.9f

=-1.9f-16-4

Subtract the numbers

-16-4=-20

=-1.9f-20

4 0

3 years ago

Read 2 more answers

Can someone plz help me

Marat540 [252]

Answer:

The answer is D. (8•4 ) + (2•4) + 2

4 0

3 years ago

Read 2 more answers