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givi [52]
3 years ago
11

Hugh bought some magazines that cost $ 3.95 each and some books that cost $ 8.95 each. I have spent a total of $ 47.65. If Hugh

bought 3 magazines, how many books did I buy? The equation that models the problem is 3.95m + 8.95b-47.65, where is the number of magazines and b is the number of books
Mathematics
1 answer:
Alexxandr [17]3 years ago
5 0

For how many books he got : 4

This is but adding up 3 of $3.95 to get the total of $11.85

You then want to subtract that from $47.65 to get $34.80

You subtract that by the $8.95 4 times so you see he bought 4 books

After you talk about how many books did he buy after that sentence I’m not sure what your saying


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Suppose that you had the following data set. 500 200 250 275 300 Suppose that the value 500 was a typo, and it was suppose to be
hodyreva [135]

Answer:

\bar X_B = \frac{\sum_{i=1}^5 X_i}{5} =\frac{500+200+250+275+300}{5}=\frac{1525}{5}=305

s_B = \sqrt{\frac{\sum_{i=1}^5 (X_i-\bar X)^2}{n-1}}=\sqrt{\frac{(500-305)^2 +(200-305)^2 +(250-305)^2 +(275-305)^2 +(300-305)^2)}{5-1}} = 115.108

\bar X_A = \frac{\sum_{i=1}^5 X_i}{5} =\frac{-500+200+250+275+300}{5}=\frac{525}{5}=105

s_A = \sqrt{\frac{\sum_{i=1}^5 (X_i-\bar X)^2}{n-1}}=\sqrt{\frac{(-500-105)^2 +(200-105)^2 +(250-105)^2 +(275-105)^2 +(300-105)^2)}{5-1}} = 340.221

The absolute difference is:

Abs = |340.221-115.108|= 225.113

If we find the % of change respect the before case we have this:

\% Change = \frac{|340.221-115.108|}{115.108} *100 = 195.57\%

So then is a big change.

Step-by-step explanation:

The subindex B is for the before case and the subindex A is for the after case

Before case (with 500)

For this case we have the following dataset:

500 200 250 275 300

We can calculate the mean with the following formula:

\bar X_B = \frac{\sum_{i=1}^5 X_i}{5} =\frac{500+200+250+275+300}{5}=\frac{1525}{5}=305

And the sample deviation with the following formula:

s_B = \sqrt{\frac{\sum_{i=1}^5 (X_i-\bar X)^2}{n-1}}=\sqrt{\frac{(500-305)^2 +(200-305)^2 +(250-305)^2 +(275-305)^2 +(300-305)^2)}{5-1}} = 115.108

After case (With -500 instead of 500)

For this case we have the following dataset:

-500 200 250 275 300

We can calculate the mean with the following formula:

\bar X_A = \frac{\sum_{i=1}^5 X_i}{5} =\frac{-500+200+250+275+300}{5}=\frac{525}{5}=105

And the sample deviation with the following formula:

s_A = \sqrt{\frac{\sum_{i=1}^5 (X_i-\bar X)^2}{n-1}}=\sqrt{\frac{(-500-105)^2 +(200-105)^2 +(250-105)^2 +(275-105)^2 +(300-105)^2)}{5-1}} = 340.221

And as we can see we have a significant change between the two values for the two cases.

The absolute difference is:

Abs = |340.221-115.108|= 225.113

If we find the % of change respect the before case we have this:

\% Change = \frac{|340.221-115.108|}{115.108} *100 = 195.57\%

So then is a big change.

8 0
4 years ago
Let f(x) = x2 − 2x − 3. The secant line through (2, f(2)) and (2 + h, f(2 + h)) for f(x) has slope h + 2. Use this formula to co
Mkey [24]

Answer:

a) slope of secant line = 3

b) slope of tangent line = 2

Step-by-step explanation:

Given:

- The function:

                           f(x) = x^2 -2*x - 3

- The slope for f(x) @ x = 2 is:

                           slope = h + 2

Find:

a) The slope of the secant line through (2, f(2)) and (3, f(3))

b) The slope of the tangent line at x = 2

Solution:

- Since we are given the slope of the line computed via secant method. All we need to do is evaluate the slope given for respective question.

- The slope of secant line between points ( 2 , f(2) ) and ( 3 , f(3) ) is:

                             slope = h + 2

Where,  h is the step size between two points. h = 3 - 2 = 1

                             slope = 1 + 2 = 3

Hence, the slope of the secant is 3.

- The slope of tangent line @ points ( 2 , f(2) ) is:

                             slope = Lim _ h-->0 (h + 2)

Where,  h step size is reduced to infinitesimal small number. Hence, h = 0

                             slope = 0 + 2 = 2

Hence, the slope of the tangent is 2.

5 0
4 years ago
A submarine sits at -300 meters in relation to sea level. Then it descends 115 meters. What is its new position in
Leokris [45]

Answer:

In this question ;

key word is <em><u>descends</u></em> which means <em><u>going down</u></em>

now the position is -300 which means it's under water and it descends 115 m that means now it's even more under water

position now is -300 -115 = <u>-415m</u>

<u> </u>

3 0
3 years ago
Read 2 more answers
Estimate by rounding to the nearest integer.
BlackZzzverrR [31]
If you estimate it the equation is -10+12=9+12=21 or 2=21=21 so the answer is false<span />
8 0
3 years ago
Find x if m ∠ GHI = 173°, m ∠ GHQ = 29 + x, and m ∠ QHI = x + 162.
Kamila [148]

Answer:

<h3>-9</h3>

Step-by-step explanation:

Given the following angles;

m ∠ GHI = 173°

m ∠ GHQ = 29 + x

m ∠ QHI = x + 162

The following expression is true for the three angles;

m ∠ GHI = m ∠ GHQ+ m ∠ QHI

substitute the given values into the formula and calculate x

173 = 29+x+x+162

173 = 29+162+2x

173 = 191+2x

2x = 173 - 191

2x = -18

x = -18/2

x = -9

Hence the value of x is -9

8 0
3 years ago
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