Answer:
The width is 50 yards and the length is 141 yards.
Step-by-step explanation:
Let's call: L the length of the field and W the width of the field.
From the sentence, the perimeter of the rectangular playing field is 382 yards we can formulate the following equation:
2L + 2W = 382
Because the perimeter of a rectangle is the sum of two times the length with two times the width.
Then, from the sentence, the length of the field is 9 yards less than triple the width, we can formulate the following equation:
L = 3W - 9
So, replacing this last equation on the first one and solving for W, we get:
2L + 2W = 382
2(3W - 9) + 2W = 382
6W -18 +2W = 382
8W - 18 = 382
8W = 382 + 18
8W = 400
W = 400/8
W = 50
Replacing W by 50 on the following equation, we get:
L = 3W - 9
L = 3(50) - 9
L = 141
So, the width of the rectangular field is 50 yards and the length is 141 yards.
Answer:
<em>perimeter</em><em> </em><em>of </em><em>figure</em><em> </em><em>A </em><em>is </em><em>4</em><em>0</em><em> </em><em>cm</em>
<em>.</em><em>.</em>
<em>breadth </em><em>of </em><em>figure</em><em> </em><em>B </em><em>is </em><em>3</em><em>.</em><em>3</em><em>3</em><em>. </em><em> </em><em>{</em><em>ie,</em><em>3</em><em> </em><em>whole </em><em>4</em><em> </em><em>by </em><em>1</em><em>2</em><em>}</em>
Answer: masses are 825 g and 1125 g
Step-by-step explanation: masses of hamsters are x and x+ 300 g.
Total mass is x+(x+300) = 1950
2x = 1650 g and x= 825
Answer:
I don't know
Step-by-step explanation:
Answer:
Number of 12$ Shares? 25
Number of 14$ Shares? 57
Step-by-step explanation:
Let x = number of $12 shares.
Let y = number of $14 shares.
"Ivan has $1098 worth of $12 and $14 stock shares."
12x + 14y = 1098
The number of $14 shares is seven more than twice the number of $12 shares.
y = 2x + 7
We have a system of equations.
12x + 14y = 1098
y = 2x + 7
We can use the substitution method since the second equation is already solved for y. Substitute 2x + 7 for y in the first equation.
12x + 14(2x + 7) = 1098
12x + 28x + 98 = 1098
40x = 1000
x = 25
There are 25 $12 shares.
y = 2x + 7 = 2(25) + 7 = 57
There are 57 $14 shares.
Check:
25 × $12 + 57 × $1`4 = $300 + $798 = $1098
The total value is correct, so the answer is correct.
