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Nikitich [7]
3 years ago
5

The length of a rectangle is 6m more then the width. The area is 40m^2 . What is the length and the width?

Mathematics
1 answer:
erastova [34]3 years ago
4 0

let the width of the rectangle be x

area of rectangle is l*b

x * (x + 6) = 40^2

x^2 + 6x = 40^2

x^2 + 6x = 1600

x + 6x =√1600

x + 6x = 40

7x = 40

x = 5.7

Hope you found this useful

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6 children and 2 adults are going to the circus, children tickets are on sale, half the price of adult tickets totaling $54. How
inna [77]

Answer:

Price of 1 child ticket is $5.4

Price of 1 adult ticket is $10.8

Step-by-step explanation:

Given:-

6 children and 2 adults are going for circus.

Children ticket is half the price of adult ticket.

Total ticketing cost =$54

To find:-

Cost of 1 child ticket=?

Cost of 1 Adult ticket=?

Solution:-

Let price of 1 child ticket be x and price of 1 adult ticket be y,

therefore from the given data we get 2 equations,

6x+2y=54                          -----------------------------------(1)

x=\frac{1}{2} y                    --------------------------------(2)

Now, substituting the value of x from equation 2 in equation 1,

6x+2y=54

6(\frac{1}{2} y)+2y=54

\frac{6}{2}y+2y=54

3y+2y=54

5y=54

\therefore y=\frac{54}{5}

\therefore y =10.8          ------------------------(3)

Now, substituting the value of y from equation 3 in equation 2,

x=\frac{1}{2} y

\therefore x=\frac{1}{2} \times 10.8       ------------(from equation 3)

\therefore x=\frac{10.8}{2}

\therefore x=5.4              ----------------------(4)

As, x is price of 1 child ticket and y is price of 1 adult ticket,

Therefore price of 1 child ticket is $5.4 and price of 1 adult ticket is $10.8

7 0
3 years ago

Anestetic [448]

Answer:

5 pounds

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
If p - 5q = 4qr,<br> p<br> find the value of p when<br> q = 4 and r = -1.
den301095 [7]

Answer:

p - 5q = 4qr where

q = 4 and r = -1 by applying these value

p - 5(4) = 4(4)(-1)

p - 20 = -16

p = -16 + 20

p = 4

4 0
2 years ago
a line with slope 3 passes through point (0,10). What is the y-coordinate of the point on the line with x-coordinate 2
skad [1K]

The y-coordinate is 16

<h3><u>Solution:</u></h3>

Given that a line with slope 3 passes through point (0, 10)

To find the y-coordinate of the point on the line with x-coordinate 2

Which means the point is (2, y)

Let us find the required y co-ordinate using slope formula

<em><u>The slope of line is given as:</u></em>

For a line containing points (x_1 , y_1) and (x_2 , y_2) is given as:

\text {slope}=m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text {Here } x_{1}=0 ; y_{1}=10 ; x_{2}=2 ; y_{2}=y

Given that slope "m" = 3

Substituting the values we get,

\begin{array}{l}{3=\frac{y-10}{2-0}} \\\\ {3=\frac{y-10}{2}} \\\\ {6=y-10} \\\\ {y=10+6=16}\end{array}

Thus the y-coordinate is 16

8 0
3 years ago
What's 400 divided by 5 show your work
vlada-n [284]
5 goes into 40 8 times than add a zero
6 0
3 years ago
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