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4 years ago

3(y - 1) +2(y + 3) = 13

Mathematics

2 answers:

Reptile [31]4 years ago

8 0

Answer:

y = 2

Step-by-step explanation:

Although it's rather obvious that we're to solve for y here, you should include those instructions with the problem.

Carrying out the indicated multiplication yields:

3y - 3 + 2y + 6 = 13.

Grouping the y terms, we get 5y on the left side; grouping the constants, we get 10 on the right side.

Dividing both sides of 5y = 10 by 5, we get the final answer, y = 2.

Zinaida [17]4 years ago

4 0

Answer:

y=2

Step-by-step explanation:

3(y - 1) +2(y + 3) = 13

3y-3+2y+6=13

5y+3=13

5y=10

y=2

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schepotkina [342]

<u>Answer:</u>

The correct answer option is B.

<u>Step-by-step explanation:</u>

We are given a graph with different intervals A, B, C and D and we are to figure out whether which of these intervals on the graph can be describes as linear increasing.

From the given interval options, we can see that C is constant while the intervals A and D are decreasing linear.

Its the interval B which can be describes as linear increasing since it has a positive slope.

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4 years ago

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Solve for x<br> 10 + 4x = 5(z - 6) + 33

gogolik [260]

Answer:

Step-by-step explanation:

X=5/4z - 7/4

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3 years ago

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Readme [11.4K]

The equivalent expressions of 22c + 33d are (a), (c) and (e)

<h3>How to determine the equivalent expressions?</h3>

The expression is given as:

22c + 33d

Factor out 11 from the expression

11(2c + 3d)

Multiply by 1

1 * 11(2c + 3d)

Express 1 as -1 * -1

-1 * -1 * 11(2c + 3d)

Evaluate the product

(-11) * (-2c - 3d)

Also, we have:

22c + 33d

Multiply by 1

(22c + 33d) * 1

Express 1 as 3/3

(22c + 33d) * 3/3

Evaluate the product

(66c + 99d) * 1/3

Hence, the equivalent expressions are (a), (c) and (e)

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brainly.com/question/27911936

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2 years ago

1) Lithium isotope rations are important to medicine, the 6Li/7Li ratio in a standard reference material was measured several ti

uysha [10]

Answer:

1) $0.0826052-2.776\frac{0.000013424}{\sqrt{5}}=0.082588$

$0.0826052+2.776\frac{0.000013424}{\sqrt{5}}=0.0826219$

b) $ME= 2.776\frac{0.000013424}{\sqrt{5}}=0.0000166653$

And we want 2/3 of the margin of error so then would be: $2/3 ME = 0.00001111$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And on this case we have that ME =0.00001111016 and we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (2)

Replacing we got:

$n=(\frac{2.776(0.000013424)}{0.00001111})^2 =11.25 \approx 12$

So the answer for this case would be n=12 rounded up to the nearest integer

Step-by-step explanation:

Information given

0.082601, 0.082621, 0.082589, 0.082617, 0.082598

We can calculate the sample mean and deviation with the following formulas:

$\bar X= \frac{\sum_{i=1}^n X_i}{n}$

$s = \sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

$\bar X=0.0826052$ represent the sample mean

$\mu$ population mean

s=0.000013424 represent the sample standard deviation

n=5 represent the sample size

Part 1

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The degrees of freedom, given by:

$df=n-1=5-1=4$

The Confidence level is 0.95 or 95%, and the significance would be $\alpha=0.05$ and $\alpha/2 =0.025$ , the critical value would be using the t distribution with 4 degrees of freedom: $t_{\alpha/2}=2.776$