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4vir4ik [10]
2 years ago
10

Pls help will give brainliest

Mathematics
1 answer:
spayn [35]2 years ago
6 0

Answer:

7

Step-by-step explanation:

Let the width of the mechanical pencil lead be w_m and the width of a human hair be w_h. We are trying to find the number of widths of pieces of hair (let that be n) that make it equal to the width of a mechanical pencil lead, so we write the equation w_m=n*w_h. Hopefully, writing an equation makes this easier to understand!

Now, I want n, so I divide be w_h on both sides, substitute, and get that n = w_m/w_h = (7*10^-4)/(1*10^-4)

The 10^-4’s cancel, so we get n = 7/1 = 7.

I hope this helps! :)

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An investment of $5000 earns $6000 simple interest in 12 years. Calculate the interest rate.
adoni [48]

Answer:

10%

Step-by-step explanation:

To solve this problem we can use a modified version of the simple interest formula which is shown below:

r=\frac{I}{Pt}

<em>I = interest amount </em>

<em>P = principal amount </em>

<em>t = time (years) </em>

Lets plug in the values:

r=\frac{6000}{(5000)(12)}

r=0.1

The last step is to convert 0.1 into a percent:

0.1(100) = 10

The interest rate is 10%

4 0
2 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. If f(X)=25-x^2 and
Licemer1 [7]

f(x)=25-x^2\\\\g(x)=x+5\\\\\left(\dfrac{f}{g}\right)(x)=\dfrac{f(x)}{g(x)}=\dfrac{25-x^2}{x+5}=\dfrac{5^2-x^2}{x+5}=\dfrac{(5-x)(5+x)}{5+x}=5-x\\\\for\ x\neq-5

8 0
3 years ago
Read 2 more answers
It is given that 2^x = 5^y = 10^z , express z in terms of x and y​
weqwewe [10]

9514 1404 393

Answer:

  z = (xy)/(x+y)

Step-by-step explanation:

Taking logarithms base 10, we have ...

  x·log(2) = y·log(5) = z·log(10)

  z = x·log(2) = y·log(5) . . . . . . . . log(10) = 1

__

Then z/x = log(2), and z/y = log(5), so ...

  z/x +z/y = log(2) +log(5) = log(2·5) = 1

  z = 1/(1/x +1/y) = 1/((x+y)/(xy))

  z = (xy)/(x+y)

4 0
2 years ago
Read 2 more answers
g In cross-tabulation, one of the tests used to evaluate the statistical association between two categorical or ordinal variable
Lena [83]

Answer:

The Chi-square test of independence

Step-by-step explanation:

The answer to this question is the Chi-square test of independence because it is what is used to determine the existence of an association between nominal/categorical variables. This test is non parametric in nature and it can also be called the chi square test of association.

The data is tabulated. each row is a representation of the category for one of the variables and each column is for the other variable.

5 0
3 years ago
Bob and Cheryl are taking a road trip that is 188.3 miles. Bob drove 5/7 of the total distance. How many miles did bob drive?
svlad2 [7]
<span>188.3 </span>÷<span> 7 then...
multiply by 5 = 134.5
so...
Bob drove 134.5 miles or 5/7 of the total distance.</span>
4 0
3 years ago
Read 2 more answers
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