What is the solution of this system of linear equations?<br><br> 3y = x + 6<br><br> y

By selling a chair for Rs. 1440 a shopkeeper loses 10%.At what price did he buy it?

Dvinal [7]

Selling price of the chair = 1440 rupees
Percentage of loss made by the shopkeeper = 10%
Let us assume the price at which the shopkeeper bought the chair = x
Then
90% * x = 1440 rupees
(90/100) * x = 1440 rupees
9x/10 = 1440 rupees
9x = 1440 * 10 rupees
9x = 14400 rupees
x = 14400/9 rupees
= 1600 rupees
So the price at which the shopkeeper bought the chair was 1600 rupees. I hope the procedure is clear enough for you to inderstand.

5 0

3 years ago

Read 2 more answers

Solve the question below 66

4vir4ik [10]

Answer:

we get the value of x: x = 39.1

Step-by-step explanation:

We are given:

Base = 19

Hypotenuse = x

and Angle = 62°

We need to find value of x.

We know that: $cos\theta=\frac{Base}{Hypotenuse}$

Putting values and finding value of x

$cos\theta=\frac{Base}{Hypotenuse}\\cos\: 61=\frac{19}{x} \\0.4848=\frac{19}{x}\\x(0.4848)=19\\x=\frac{19}{0.4848}\\x=39.1$

So, we get the value of x: x = 39.1

8 0

3 years ago

Tia kayaked 2400 meters at a constant rate in 1.5 hours on Saturday. On Sunday, she kayaked 200 meters per hour faster. What was

Lynna [10]

First we need to find how many meters she did on Saturday a hour to add 200 meters per hour faster on Sunday. 2400/1.5 = 1600
1600 meters per hour + 200 meters per hours = 1800 meters per hours on sunday

B. 1800 meters per hours

4 0

4 years ago

2÷3 ? 4÷5 A. > B. < C. =

schepotkina [342]

Answer: B

Step-by-step explanation:

To know the inequality, we can divide the numbers on each side to see what belongs in the middle.

0.67 ? 0.80

We can see that 0.67 is smaller than 0.8. Therefore, the inequality should be <.

0.67<0.8

7 0

3 years ago

The Los Angeles Times regularly reports the air quality index for various areas of Southern California. A sample of air quality

egoroff_w [7]

Answer:

1. (a) 32 (b) 8

2. (a) 48.33 (b) 92.75 (c) 9.63

3. We observe that sample mean of air quality index in Pomona is higher that that of Anaheim which indicates that the level of air pollution is higher in Pomona and there is more health concern here.

On the other hand, the variation in air quality index is higher in Anaheim than in Pomona as Anaheim has higher variance and standard deviation for air quality index which means that there are not much fluctuations in air quality index in Pomona.

Step-by-step explanation:

First arranging our data of air quality index values for Pomona in ascending order, we get : 28, 42, 45, 48, 49, 50, 55, 58, 60.

(a) Range is given by the formula :

Highest value in data - Lowest value in data = 60 - 28 = 32

(b) Interquartile rage = Third quartile - First quartile

= $Q_3 - Q_1$

$Q_1$ = $(\frac{n-1}{4} )^{th}$ observation in the data = $2^{nd}$ obs. { Because n = 9}

Therefore, $Q_1$ = 42.

$Q_3$ = $(3Q_1)^{th}$ obs. = (3 x 2 ) = $6^{th}$ obs = 50

So, Interquartile rage = 50 - 42 = 8.

2. (a) Sample mean formula = $\frac{\sum X_i}{n}$ = $\frac{28+ 42+ 45+ 48+ 49+ 50+ 55+ 58+ 60}{9}$ = 48.33

(b) Sample variance formula = $\frac{\sum (X_i - Xbar)^{2}}{n-1}$ where Xbar = Sample mean

= 92.75

(c) Sample standard deviation formula = $\sqrt{variance}$ = $\sqrt{92.75}$ = 9.63.

3. Given that a sample of air quality index readings for Anaheim has sample mean of 48.3, a sample variance of 136, and a sample standard deviation of 11.66.

We observe that sample mean of air quality index in Pomona is higher that that of Anaheim which indicates that the level of air pollution is higher in Pomona and there is more health concern here.

On the other hand, the variation in air quality index is higher in Anaheim than in Pomona as Anaheim has higher variance and standard deviation for air quality index which means that there are not much fluctuations in air quality index in Pomona.

7 0

3 years ago

What is the solution of this system of linear equations? 3y = x + 6 y – x = 3