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3 years ago

Mr. king brought a carpet for his dining room that measured 3 1/2 yards by 5 3/4 yards how much carpet did Mr.king buy

Mathematics

1 answer:

notka56 [123]3 years ago

3 0

Answer:

He bought 9 1/2 yards of carpet

Step-by-step explanation:

3 1/2+5 3/4

change both to improper fraction

7/2 and 23/4 then you add.The common factor is 4 so

4 divided by 2 and 2 multiply by 7 which is 14 and 4 divided by 4 is multiply by 23 which is 23.

Then 14/4 +23/4= 37/4

37 divided by 4 is 9 1/4

You might be interested in

The function V(t)=1,000(1.06)^t models the value of an investment after t years. What does the ".06" represent in the function?

slamgirl [31]

Answer:

Step-by-step explanation:

Looking at the function, we have;

V(t) = 1,000(1.06)^t

Mathematically, the amount earned on an investment that offers a particular constant percentage return to a particular number of years can be written as;

V = I(1 + r)^t

where V is the value of the investment after some certain number of years

I is the initial amount invested

r is the constant percentage increase

and t is the number of years.

Let’s now re-write what we can deduce in the question.

This is;

V(t) = 1000(1 + 0.06)^t

Thus what this 0.06 represents is r which is the constant interest rate

8 0

2 years ago

In Applied Life Data Analysis (Wiley, 1982), Wayne Nelson presents the breakdown time of an insulating fluid between electrodes

ale4655 [162]

Answer:

The sample mean is $\bar{x}=14.371$ min.

The sample standard deviation is $\sigma = 18.889$ min.

Step-by-step explanation:

We have the following data set:

$\begin{array}{cccccccc}0.15&0.82&0.81&1.44&2.70&3.28&4.00&4.70\\4.96&6.49&7.25&8.03&8.40&12.15&31.89&32.47\\33.79&36.80&72.92&&&&&\end{array}$

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values.

The formula for the mean of a sample is

$\bar{x} = \frac{{\sum}x}{n}$

where, $n$ is the number of values in the data set.

$\bar{x}=\frac{0.15+0.82+0.81+1.44+2.7+3.28+4+4.7+4.96+6.49+7.25+8.03+8.4+12.15+31.89+32.47+33.79+36.80+72.92}{19}\\\\\bar{x}=14.371$

The standard deviation measures how close the set of data is to the mean value of the data set. If data set have high standard deviation than the values are spread out very much. If data set have small standard deviation the data points are very close to the mean.

To find standard deviation we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} }$

The mean of a sample is $\bar{x}=14.371$ .

Create the below table.

Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 6422.0982$

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{x}\right)^2 }}{n-1} } = \sqrt{ \frac{ 6422.0982 }{ 19 - 1} } \approx 18.889$

7 0

3 years ago

Write in exponential notation

r-ruslan [8.4K]

Answer:

12^5

Step-by-step explanation:

12^5 means 12*12*12*12*12 (5 twelves)

6 0

2 years ago

A cashier has 26 bills consisting of three times as many ones as fives, one less ten than fives, and the rest twenties. If the v

monitta

Let number of fives = x then number of ones = 3x and number of tens = x - 1

so we can create the equation

x + 3x + x-1 + y = 26 where y = number of twenties
so
5x + y = 27

also we have the equation

5x + 3x + 10(x - 1) + 20y = 120

18x + 20y = 130..................................(1)
5x + y = 27 multiply by -20:-
-100x - 20y = -540..............................(2)
Adding equation (1) and (2)
-82x = -410
x = 5, that is 5 fives

Now plug x = 5 into equation 1:-
18(5) + 20y = 130
20y = 40
y = 2 , that is 2 twenties

So the answer is there are (3x) = 15 ones , 5 fives, 4 tens and 2 twenties

7 0

3 years ago

1 1/3 x 5/8 A.3/4 B.4/5 C.5/6 D.5/8

Dmitriy789 [7]

The answer is 5/6, hope this helps

5 0

2 years ago

Read 2 more answers