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2 years ago

Solve for a 1/4a+1/3=1/3a+5/4

Mathematics

1 answer:

nika2105 [10]2 years ago

4 0

1/4a+1/3=1/3a+5/4

1/4a-1/3a+1/3=1/3a-1/3a+5/4

1/4a-1/3a+1/3=5/4

1/4a-1/3a+1/3-1/3=5/4-1/3

1/4a-1/3a=5/4-1/3

Figure the common denominator for 1/4a,1/3a, 5/4 and -1/3 which is 12

Multiply by 3 for 1/4a. (1)(3)/4(3a)=3/12a

Multiply by 4 for 1/3a. (1)(4)(3)(4a)=4/12a

Multiply by 3 for 5/4. (5)(3)/4(3)=15/12

Multiply by 4 for -1/3. (-1)(4)(3)(4)=-4/12

3/12a-4/12a=15/12-4/12

-1/12a=11/12

Multiply by -12/1 for -1/12a and 11/12

-1/12(-12/1)a=11/12(-12/1)

Cross out 12 and -12 , divide by 12 and then becomes -11.

Cross out -12 and -12 , divide by 12 and then becomes 1.

Cross out -1 and 1, divide by 1 and then becomes 1.

1*1*a=-11

a=-11

Answer: a=-11

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What value of x makes this equation true ? -6x+3=45

Sveta_85 [38]

Answer:

x = -7

Step-by-step explanation:

-6x + 3 = 45

First, we need to get rid of the 3 by subtracting it by 3. We need to do the same to the number on the other side.

-6x + 3 = 45

-3 - 3

-<em>6x = 42</em>

Then, to iolate the x, we need to divide -6 by itself to cancel the number out and get x alone. We also need to divide 42 by -6 as well.

$\frac{-6x}{-6} = \frac{42}{-6}$

42 divided by -6 is -7.

$x=-7$

I hope this helps!

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2 years ago

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GuDViN [60]

This year is yer number 2 , so t = 2
which means that the next year will be t = 3

So, Epsilon-delta should order :
42000 (1.3 ^ (3/2))
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2 years ago

Need help solving this problem

dimulka [17.4K]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

Write an equation of the line satisfying the given conditions. Through (2, -5), parallel to 5x 6y + 7

mojhsa [17]

We have to determine the equation of the line passing through the point (2,-5) and parallel to the line $5x = 6y+7$

When two lines are parallel, then the slopes of the two lines are equal.

Equation of line with point $(x_1, y_1)$ and slope 'm' is given by:

$(y-y_1) = m(x-x_1)$

Since, we have to determine the equation of a line with point (2,-5).

So, the equation of the line is : $(y-(-5)) = m(x-2)$

$y+5 = m(x-2)$

Since, the line is parallel to the line $5x = 6y+ 7$

So, $6y +7 = 5x$

$6y = 5x - 7$

$y = \frac{5}{6}x - \frac{7}{6}$

So, slope of the line 'm' is $\frac{5}{6}$ .

Therefore, the equation of the line is:

$(y+5) = \frac{5}{6}(x-2)$

$6y + 30 = 5x - 10$

$6y - 5x = -10-30$

$6y - 5x = -40$

Therefore, $6y - 5x = -40$ is the required equation of the line.

8 0

2 years ago

A researcher wants to see if birds that build larger nests lay larger eggs. He selects two random samples of nests: one of small

True [87]

Answer:

95% confidence interval for the difference between the average mass of eggs in small and large nest is between a lower limit of 0.81 and an upper limit of 2.39.

Step-by-step explanation:

Confidence interval is given by mean +/- margin of error (E)

Eggs from small nest

Sample size (n1) = 60

Mean = 37.2

Sample variance = 24.7

Eggs from large nest

Sample size (n2) = 159

Mean = 35.6

Sample variance = 39

Pooled variance = [(60-1)24.7 + (159-1)39] ÷ (60+159-2) = 7619.3 ÷ 217 = 35.11

Standard deviation = sqrt(pooled variance) = sqrt(35.11) = 5.93

Difference in mean = 37.2 - 35.6 = 1.6

Degree of freedom = n1+n2 - 2 = 60+159-2 = 217

Confidence level = 95%

Critical value (t) corresponding to 217 degrees of freedom and 95% confidence level is 1.97132

E = t×sd/√(n1+n2) = 1.97132×5.93/√219 = 0.79

Lower limit = mean - E = 1.6 - 0.79 = 0.81

Upper limit = mean + E = 1.6 + 0.79 = 2.39

95% confidence interval for the difference in average mass is (0.81, 2.39)

3 0

2 years ago