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Bumek [7]
3 years ago
9

A line with a slope of 3 passes through the points (9,7) and (10,c) what is the value of c?

Mathematics
2 answers:
Zina [86]3 years ago
7 0

Answer:

The answer is 4. The line passes through the point (10,4).

Step-by-step explanation:

Nookie1986 [14]3 years ago
5 0

Answer:

 Value of  c=8            

Step-by-step explanation:

In this example we are given two points, (9, 7) and (10, c), on a straight line.

o let's take (9, 7) to be (x2, y2). Let's take the point (10, c) to be the point (x1, y1)          

Fomula of slope is y2-y1/x2-x1

    =7-c / 9-10

    =7-c/-1

   -1=7-c

  -1-7=-c

  -8=-c

   c=8

Hence Value of c is 8

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Which statement is true about the product square root of 2(3square root of 2 + square root of 14)?
sukhopar [10]

Answer:

\sqrt{2} (3\sqrt{2} +\sqrt{14})=6+2\sqrt{7}

Step-by-step explanation:

Given : \sqrt{2} (3\sqrt{2} +\sqrt{14})

Solution:

\sqrt{2} (3\sqrt{2} +\sqrt{14})

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6+2\sqrt{7}

Thus ,  \sqrt{2} (3\sqrt{2} +\sqrt{14})=6+2\sqrt{7}

Thus the solution is irrational since square root 7 does not have a perfect square and equal to 6+2square root of 14

3 0
3 years ago
Read 2 more answers
a sandwich shop has 60 stores and 70 percent of the stores are I California. How many stores are in California and Nevada
Aliun [14]

Answer:

The number of stores in California 42

The number of stores in Nevada 18

Step-by-step explanation:

Given as :

The total sandwich shop in California and Nevada = 60

The percentage of shop in California = 70%

So, The percentage of shop in Nevada = 100% - 70% = 30%

Let The number of stores in California = c

And The number of stores in Nevada = n

Now, According to question

The number of stores in California = 70% of the total number of shops

I.e c = \frac{70}{100} ×  total number of shops

Or, c =  \frac{70}{100} × 60

∴   c = \frac{70\times 60}{100}

or, c =   \frac{4200}{100}

or, c = 42

So, The number of stores in California = c =42

Again

The number of stores in Nevada = 30% of the total number of shops

I.e n = \frac{30}{100} ×  total number of shops

Or, n =  \frac{30}{100} × 60

∴   n = \frac{30\times 60}{100}

or, n =   \frac{1800}{100}

or, n = 18

So, The number of stores in Nevada = n = 18

Hence The number of stores in California 42

And The number of stores in Nevada 18   Answer

8 0
3 years ago
The price of a shirt is increased by 20%, and the price of a 40% pair of shoes is decreased by 40%. If the new price of the shir
nata0808 [166]

Answer:

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A publishing company claims that in fall 2019, the average price of college textbooks for a single semester is $385. Suppose you
hram777 [196]

Answer:

We accept H₀ . We don´t have enough evidence to express the publisher claim is not true

Step by Step explanation:

We must evaluate if the mean of the price of college textbooks is different from the value claimed by the publisher

n < 30 then we must use t - distrbution

degree of freedom   n  - 1     df = 22 - 1     df = 21

As the question mentions " different " that means,  a two-tail test

At 0,01 significance level     α  = 0,01       α/2  =  0,005

and t(c)  = 2,831

Test Hypothesis

Null Hypothesis                      H₀          μ  =  μ₀

Alternative hypothesis           Hₐ          μ  ≠  μ₀

To calculate t(s)

t(s)  =  (  μ  -  μ₀ ) /σ/√n

t(s)  =  (  433,50 - 385 ) / 86,92 / √22

t(s)  =  2,6171

Comparing   t(c)   and t(s)

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Then  t(s) is in the acceptance region we accept H₀. We don´t have enough evidence to claim that mean price differs from publisher claim

6 0
3 years ago
Rolex buys computer disks at a price of 4 for $5 and sells them at a price of 3 for $5. How many computer disks must he sell to
Lina20 [59]

Given that Rolex buys computer disks at a price of 4 for $5 .

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Given that Rolex sells them at a price of 3 for $5.

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Profit on 1 disk = selling price - cost price

Profit on 1 disk = \frac{5}{3}-\frac{5}{4}

Profit on 1 disk = \frac{5}{3}\cdot\frac{4}{4}-\frac{5}{4}\cdot\frac{3}{3}

Profit on 1 disk = \frac{20}{12}-\frac{15}{12}

Profit on 1 disk = \frac{5}{12}

Now we have to find how many disk to be sold to get the profit $100

so we just divide $100 by profit on 1 disk

\frac{100}{\left(\frac{5}{12}\right)} = 100\cdot\frac{12}{5} = 240

Hence final answer is 240 disks.



3 0
2 years ago
Read 2 more answers
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