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saveliy_v [14]
3 years ago
12

the remains of an ancient ball court include a rectangular playing alley with a perimeter of about 48 M. the length of the alley

is 5 times the width. find the length and the width of the playing alley​
Mathematics
1 answer:
Firdavs [7]3 years ago
8 0

Answer:

Length is 20 m and width is 4 m.

Step-by-step explanation:

Given:

Perimeter of the rectangular alley, P=48\textrm{ m}

Length is 5 times the width.

Let width be x.

So, as per question,

Length,l = 5x

Now, perimeter of rectangle is given as:

P=2(l+b)

Plug in 48 for P, 5x for l and x for b.

48=2(5x+x)\\48=2(6x)\\48=12x\\x=\frac{48}{12}=4

Therefore, width is 4 m.

Length is 5x=5\times 4=20 m.

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14. Solve: (a) 2y - 1/2 = -1/3 (b) 6 + 5 (a - 1) = 30
Strike441 [17]

A)2y - 1/2 = -1/3

2y=-1/3+1/2

FIND THE LCM TO MAKE THE FRACTIONS LIKE FRACTIONS

LCM OF 3 AND 2 IS 6

-1/3*2=-2/6

1/2*3=3/6

-2/6+3/6=1/6

2y=1/6

y=1/6 ÷ 2

TAKING THE RECIPROCAL,

RECIPROCAL OF 2 IS 1/2

y=1/6*1/2

y=1/12

B) 6 + 5 (a - 1) = 30

6+(5)*(a)+(5)*(−1)=30(Distribute)

6+5a+−5=30

(5a)+(6+−5)=30(Combine Like Terms)

5a+1=30

5a=30-1

5a=29

a=29/5

15.sum of three consecutive integers=48

let the numbers be x ,x+1,x+2

x+x+1+x+2==48

3x+3=48

3x=48-3

3x=45

x=45/3

x=15

x+1=15+1=16

x+2=15+2=17

the numbers are 15,16,17

​​  

7 0
3 years ago
The length of a rectangle is four times its width. if the perimeter of the rectangle is 80yd, find its length and width.
Vedmedyk [2.9K]
The length is 8. the width is 32. 

32(2) = 64

8(2) = 16

64+16 = 80 

So the length would be 8 and the width would be 32 since it's 4 times the length.

Hope this helped!
6 0
3 years ago
Read 2 more answers
The length of one base of a trapezoid is 44, the median is 36, and the other base is 2x + 10.
Nataliya [291]

Answer:

The answer is "9"

Step-by-step explanation:

Given value:

length of trapezoid = 44

Another length = 2x+10

median = 36

formula:

median =(first length + second length) /2

36 = \frac{(44+  2x+10)}{2}\\\\ 36 = \frac{54+2x}{2}\\\\36 \times 2 = 54 +2x\\\\72 =54 +2x\\\\2x= 72-54\\\\2x= 18\\\\x= 9

6 0
3 years ago
(0.7) exponent 2 please help!
ratelena [41]
The answer is 0.49
0.7 x 0.7 = 0.7^2
7 0
3 years ago
A point with coordinates (a, b) is plotted on a coordinated plane. The values of a and b can be any positive or negative integer
Diano4ka-milaya [45]

Answer:

Any negative and positive number can be your coordinates.

Step-by-step explanation:

As long as you don't have any restrictions as to what the coordinates can be, you're good to go!

Hope this helps!

8 0
2 years ago
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